Answers
The proportion relation obtained from the similar triangles indicates that the x/3 = 10/x
What are similar triangles?Similar triangles are triangles that have the same shape but their sizes may vary.
The proportion equation from the image based on the ratio of the corresponding sides of the similar right triangles can be found as follows;
The side x is the hypotenuse side of the smallest right triangle
The ratio x/3, is equivalent to the ratio of the hypotenuse side to the shortest side of the right triangle
The corresponding ratio in the medium triangle is ((x² - 3²) + 7²)/(x² - 3²)
((x² - 3²) + 7²)/(x² - 3²) = (x² + 40)/(x² - 3²)
The corresponding ratio in the large similar right triangle is (7 + 4)/x = 10/x
Therefore, the corresponding ratio is; x/3 = 10/x
The proportion is; x/3 = 10/x
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Related Questions
With Bonds, banks pay you back with
O free banking
O a fixed amount
O interest
O stocks
Answers
Select all that apply. By making the financially irresponsible decision of maxing out your credit card limit, you might...
A) not have money for an emergency situation.
B) get a very low interest rate when you want to buy a house.
C) not be able to buy the things you need.
D) have enough saved up for retirement.
Answers
By making the financially irresponsible decision of maxing out your credit card limit, you might not have money for an emergency situation.
As, There is no foolproof technique to determine how much you can spend in excess of your credit limit, but you can go over it.
When determining the risk of accepting an over-the-limit transaction, card issuers may take into account a number of criteria, including your prior payment history.
Now, maxing out credit card leads to negative results.
So, either not have money for an emergency situation or not be able to buy the things you need.
But we can still spend after maxing out the limit.
Thus, not have money for an emergency situation is correct option.
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Write null and alternative hypothesis, test statics, p-value, and inference.
For Climate Change Beliefs, use variables: climate change and certainty.
For Class time use, use variables: income class, and sleeping.
Answers
The value of null and alternative hypothesis are change beliefs and certainty test statics, p-value, and inference are the null hypothesis and conclude that there is insufficient evidence to suggest a significant relationship.
Climate Change Beliefs:
Null Hypothesis (H0): There is no significant relationship between climate change beliefs and certainty.
Alternative Hypothesis (Ha): There is a significant relationship between climate change beliefs and certainty.
Test Statistic: Pearson's correlation coefficient (r)
The Pearson correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, we will use it to determine the relationship between climate change beliefs and certainty.
P-Value: The p-value is the probability of obtaining a test statistic as extreme as the observed value, assuming that the null hypothesis is true.
Inference: If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant relationship between climate change beliefs and certainty. If the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest a significant relationship.
Class Time Use:
Null Hypothesis (H0): There is no significant relationship between class time use, income class, and sleeping.
Alternative Hypothesis (Ha): There is a significant relationship between class time use, income class, and sleeping.
Test Statistic: Multiple regression analysis
Multiple regression analysis is used to determine the relationship between a dependent variable and two or more independent variables. In this case, class time use, income class, and sleeping will be the independent variables, and we will use it to determine the relationship with the dependent variable.
P-Value: The p-value is the probability of obtaining a test statistic as extreme as the observed value, assuming that the null hypothesis is true.
Inference: If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant relationship between class time use, income class, and sleeping.
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PLS HELP ME WITH THIS QUESTION PLS
PLS SHOW YOUR WORKING OUT
Answers
A formula for y in terms of x and c is y = c⁵√x
How to determine the expressionIn inverse variation, as the value of one of the variables increases, the value of the other decreases and as the value of one of the variable decreases, the other increases.
From the information given, we have that;
y ∝1/√x
Now, let's find the constant value, k, we have;
y√x = k
We have that their values are;
y = c⁴, x = c²
Substitute the values, we have;
c⁴√c² = k
k = c⁵
Now, substitute the values
y = k√x
y = c⁵√x
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what is the volume of this triangular prism?
Answers
The volume of the triangular prism is 36 in³.
What is a triangular prism?A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.
To calculate the volume of the triangular prism, we use the formula below
Formula:
V = bhH/2.................... Equation 1Where:
b = Base of the triangleh = Height of the triangleH = Height of the prismFrom the question,
Given:
b = 3 inh = 4 inH = 6 inSubstitute these values into equation 1
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The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three
Answers
Answer:
1. The function that gives the lion population size P(t), t years from today is:
P(t) = 325(0.95)^t
2. To find the population in 4 years, we can substitute t=4 in the function:
P(4) = 325(0.95)^4
P(4) = 279.14
So the population will be approximately 279 lions in 4 years.
3. The exponential function for all three years is the same as in part 1:
P(t) = 325(0.95)^t
Consider the following. Circle: x = h + r cos(theta), y = k + r sin(theta) Use the above to find a set of parametric equations for the conic. Circle: center: (−2, −3); radius: 6
Answers
Answer:
Step-by-step explanation:
The standard parametric equations for a circle with center (h, k) and radius r are:
x = h + r cos(theta)
y = k + r sin(theta)
Here, center is (−2, −3) and the radius is 6. Therefore, we have:
h = -2
k = -3
r = 6
Substituting these values into the standard equations, we get:
x = -2 + 6 cos(theta)
y = -3 + 6 sin(theta)
So the set of parametric equations for the circle is:
x(t) = -2 + 6 cos(t)
y(t) = -3 + 6 sin(t)
where t = theta.
A sphere is pictured below. Select the type of cross section formed when the figure is cut by a horizontal plane.
A) circle
B) triangle
C) hexagon
D) rectangle
Answers
Answer:
A) circle.
When a sphere is cut by a horizontal plane, the resulting cross section is a circle. This is because a sphere is a three-dimensional object that is perfectly symmetrical in all directions, so any plane that intersects it will create a circular cross section.
Answer:
the answer is A) circle.The data set shown below represents the distribution of daily high temperatures in a city for 8 days.
79
,
73
,
72
,
70
,
72
,
66
,
81
,
75
79, 73, 72, 70, 72, 66, 81, 75
What is the median high daily temperature, in degrees Fahrenheit, in the city?
Answers
For the given data set of temperatures, the median temperature is 72.5 degree Fahrenheit.
In order to find the median temperature, we first need to arrange the temperatures in order from lowest to highest:
The temperatures arranged in order is : {66, 70, 72, 72, 73, 75, 79, 81}
There are 8 temperatures in total, which is an even-number, so the median will be the average of fourth and fifth day temperature.
In this case, the temperature of the fourth day is 72, and fifth day is 73,
The average will be = (72+73)/2 = 72.5,
Therefore, the median high daily temperature in the city is 72.5 degrees Fahrenheit.
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The given question is incomplete, the complete question is
The data set shown below represents the distribution of daily high temperatures in a city for 8 days.
79,73,72,70,72,66,81,75.
What is the median high daily temperature, in degrees Fahrenheit, in the city?
Solve the system of equations
x+y=15
Y=x^(2)-5
(-5,20) and (4,11)
(3,4) and (7,8)
(5,10) and (-4,19)
(5,20) and (4,11)
Answers
Answer:
(a) (-5,20) and (4,11)
Step-by-step explanation:
You want the solutions to the system of equations ...
x + y = 15y = x² - 5SubstitutionUsing the second equation to substitute for y in the firs equation, we have ...
x +x² -5 = 15
x² +x -20 = 0 . . . . . subtract 15, put in standard form
(x +5)(x -4) = 0 . . . . . factor
Zero product ruleA product is zero only when one or more factors is zero. The values of x that make the factors zero are ...
x = -5 and x = 4
The corresponding values of y are ...
y = 15 -x
y = 15 -{-5, 4} = {20, 11}
The solutions are (x, y) = (-5, 20) and (4, 11).
Place the indicated product in the proper location on the grid.
a²b(3a² +4ab²)
Answers
The simplified expression based on tej values given is 3a⁴b + 4a³b³.
How to solve the expressionAn expression is a combination of variables, constants, and operators that can be evaluated to produce a single value. In programming languages, expressions are used to represent computations and are often used to assign values to variables, compare values, or perform mathematical operations. Expressions can be simple, such as a single variable or constant, or complex, involving multiple operations and variables.
It should be noted that to simplify the expression a²b(3a² +4ab²), we can distribute the a²b term to the terms inside the parentheses using the distributive property of multiplication:
a²b(3a² +4ab²) = 3a⁴b + 4a³b³
Therefore, the simplified expression is 3a⁴b + 4a³b³.
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in the diagram below A, B, C are points in the same horizontal plane with AC =BC=22.3 meters.AD is a vertical tower which is anchored at B and C.The angle of elevation of D from B is 25.4. BDC=58.6 and ACB= 50.8.
Answers
The length of AB is 27.3m and AD is 113 m.
Using Trigonometry in Triangle ABC
tan 50. 8 = P / B
tan 50.8 = AB / 22.3
1.2261 = AB/ 22.3
AB = 27.34 m
Now, again using Trigonometry
tan 25.4 = P / B
tan 50.8 = AD / 27.34
0.474 = AD/ 27.34
AD = 12.95916 m
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how do you do comparison for percents
Answers
In order to do a comparison for percents, you must convert them to decimal form and then juxtapose the decimal values side by side to see which is greater or less.
What are percents?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent sign is commonly used, however the acronyms pct., pct, and sometimes pc are also used. A % is a number with no dimensions; it has no unit of measurement.
To calculate the percentage, divide the amount by the total value and multiply the result by 100.
Divide a percentage by 100 to get a decimal. So 25% is equal to 25/100, or 0.25. Multiply a decimal by 100 (simply shift the decimal point two places to the right) to convert it to a percentage. For example, 0.065 equals 6.5% and 3.75 equals 375%.
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Which function is represented by the graph?
A f(x) = -12x + 6f(x) = - 1 2 x + 6
B f(x) = 12x + 6f(x) = 1 2 x + 6
C f(x) = -2x + 6f(x) = -2x + 6
D f(x) = 2x + 6
Answers
Answer:
B
Step-by-step explanation:
Notice that all y-intercepts are the same (doesn't give a clue to the answer).
The line has a downward slant as you move from left to right, so the slope is negative (eliminating A & C as answers).
Determine the actual slope by identifying the y-intercept and x-intercept, and calculate Rise over Run:
Rise = -6 (goes from +6 to 0)
Run = +12
-6/12 = -1/2
For positive acute angles A and B, it is known that tanA= 4/3 and sinB= 53/28 . Find the value of sin(A−B) in simplest form.
Answers
The value of sin(A-B) is 2334/6625
What is trigonometric identity?Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.
Example of trigonometric identity include;
cos 2 θ + sin 2 θ = 1 cos 2 θ + sin 2 θ = 1.
1 + cot 2 θ = csc 2 θ 1 + cot 2 θ = csc 2 θ
1 + tan 2 θ = sec 2 θ 1 + tan 2 θ = sec 2 θ
Sin(A-B) = = sin A cos B- cos Asin B
if tan A = 4/3, then 4 is the opp and 3 is the adj,
hyp² = 4²+3²
= 16+9
hyp² = 25
hyp = √25
= 5
cos A = 3/5 and sinA = 4/5
if sinB = 28/53, then opp is 28 is the opp and 53 is the hyp
adj = √ 53²-28²
adj = √ 2809 - 784
adj = √2025
adj = 45
cos B = 45/58
sin(A-B) = 4/5 × 45/58 - 3/5× 28/53
= 18/29 - 84/265
= (4770-2436)/6625
= 2334/6625
therefore the value of sin(A-B) = 2334/6625
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find the statement that is incorrect. Then, correct and rewrite the statement in the space provided. Show any necessary work.
Answers
The incorrect statement is b. When an aeroplane takes off, the work done by its weight is negative.
The inaccurate assertion is:
b) When a plane removes, the work done by its weight is positive.
The right assertion is:
b) When a plane removes, the work done by its weight is negative.
Clarification:
At the point when a plane removes, the work done by the heaviness of the plane is negative in light of the fact that the weight acts the other way to the dislodging of the plane. As indicated by the work-energy hypothesis, work done by the heaviness of the plane will diminish its motor energy, and that implies that the work done is negative. Hence, articulation (b) is inaccurate.
a) Work and energy have various units.
This assertion is right. Work has units of Joules (J) and energy additionally has units of Joules (J), however they are not exactly the same thing.
c) The possible energy of spring increments when it is broadened and diminishes when it is packed.
This assertion is right. The potential energy put away in a spring is straightforwardly corresponding to its expansion or pressure. While a spring is broadened, its potential energy increments, and when it is packed, its potential energy diminishes.
d) On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.
This assertion is right. On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.
The work-energy hypothesis expresses that the net work done on a framework is equivalent to the adjustment of its motor energy, and in the event that the net work is negative, the dynamic energy diminishes, and that implies that the energy of the framework diminishes.
e) When a body is falling unreservedly from a level, its dynamic energy stays consistent.
This assertion is erroneous. At the point when a body is falling unreservedly from a level, its potential energy is changed over into dynamic energy as it falls. Hence, its motor energy increments as it falls, and its potential energy diminishes.
f) The unit of force is watt.
This assertion is right. The unit of force is watt (W), which is characterized as the pace of taking care of business or the pace of move of energy.
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The complete question is:
Identify the wrong statement among the following. Rewrite them by making necessary corrections.
a) Work and energy have different units.
b) When an aeroplane takes off, the work done by its weight is positive.
c) The potential energy of spring increases when it is extended and decreases when it is compressed.
d) If the work done by external forces on a system is negative then the energy of the system decreases.
e) When a body is falling freely from a height, its kinetic energy remains constant.
f) The unit of power is watt.
Olivia Jackie. Play? The game with the spinner Olivia's funny 2 out of 12 out of fift. Do you watch Jackie's fun 2 on 19 of a 100? Find each experimental probability of spinning a 2.
Answers
The experimental probability of spinning a 2 on Olivia's spinner is 0.1667.
The experimental probability of spinning a 2 on Jackie's spinner is 0.02 or 2%.
Olivia and Jackie are playing a game with a spinner. Olivia's spinner has 12 equal sections, two of which are marked as "funny 2". Jackie's spinner has 100 equal sections, and two of them are marked as "fun 2".
To find the experimental probability of spinning a 2 in Olivia's spinner, we first need to determine the total number of possible outcomes, which is the number of sections on the spinner. In this case, the spinner has 12 sections. Out of these, two sections are marked as "funny 2". Therefore, the number of favorable outcomes is 2.
Experimental probability of spinning a 2 in Olivia's spinner can be calculated as Experimental probability = Number of favorable outcomes / Total number of possible outcomes
= 2 / 12
= 1 / 6
= 0.1667
Therefore, the experimental probability of spinning a 2 on Olivia's spinner is 0.1667.
To find the experimental probability of spinning a 2 in Jackie's spinner, the total number of possible outcomes is the number of sections on the spinner, which is 100. Out of these, two sections are marked as "fun 2". Therefore, the number of favorable outcomes is 2.
Experimental probability of spinning a 2 in Jackie's spinner can be calculated as Experimental probability = Number of favorable outcomes / Total number of possible outcomes
= 2 / 100
= 0.02
Therefore, the experimental probability of spinning a 2 on Jackie's spinner is 0.02 or 2%.
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Drag tiles to fill in the blanks for o complete the experience that could be used to predict the number of possible outcomes
Answers
The first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners
How to explain the probabilitySuppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
= n(E) / n+S)
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
Thus, the first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners
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Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all. A)Total Number of Possible Outcomes B)Number of Winners C)Number of Unfavorable Outcomes D)Number of Games P(event) = Number of Favorable Outcomes _________________________ ????????????????????????????? = ????????????????????????????? _________________________ 11 Total Number of Contestants
Find the value of m + n + 22 if m is 34 and n is 47.
Answers
What is the area of this figure?
8 m
6 m
5 m
2 m
13 m
8 m
Answers
Answer:
It's not clear what figure is being referred to. The provided numbers could be dimensions of a shape, but without additional information or context, it's impossible to determine the area of the figure. Can you please provide more details or a diagram?
Step-by-step explanation:
if 3x+2y=36 and (5y)/(3x)=5, what is the value of x+y?
Answers
Answer:
16
Step-by-step explanation:
5y/3x = 5
3x = 5y/5
3x = y
3x + 2y = 36
y + 2y = 36
3y = 36
y = 36/3
y = 12
3x = y
3x = 12
x = 12/3
x = 4
x + y
= 4 + 12
= 16
x + y = 16
An animal shelter has 96 animals if 5/8 of the animals are dogs and 1/4 of the animals are cats how many animals are neither dogs nor cats?
Answers
There are 12 animals that are neither dogs nor cats.
How many animals are neither dogs nor cats?If 5/8 of the animals are dogs, then the remaining 3/8 of the animals are not dogs.
3/8 x 96 = 36
if 1/4 of the animals are cats, then the remaining 3/4 of the animals are not cats.
3/4 x 96 = 72
The number of animals that are neither dogs nor cats is calculated as;
96 - 36 - 72 = 12
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please help, will give brainiest!
Answers
Answer:
See explanation.
Step-by-step explanation:
Let's analyze each solution to determine if it's viable or non-viable based on the given constraints: Johnnie and Amy have $38.50, and they cannot buy more than 7 lunches.
1. 8 slices of pizza and 0 hamburgers
This solution is non-viable because they are not allowed to buy more than 7 lunches. In this case, they would be buying 8 lunches.
2. 5 slices of pizza and 2 hamburgers
Cost: 5×4.75+2×5.55=23.75+11.10=34.85
This solution is viable because the total cost is within their budget, and they are buying 7 lunches.
3. 4 slices of pizza and 3 hamburgers
Cost: 4×4.75+3×5.55=19.00+16.65=35.65
This solution is viable because the total cost is within their budget, and they are buying 7 lunches.
4. 3 slices of pizza and 2 hamburgers
Cost: 3×4.75+2×5.55=14.25+11.10=25.35
This solution is non-viable because they are only buying 5 lunches, which is less than the maximum allowed. But if it is acceptable to only buy below 7 lunches, then this solution can be viable.
5. 2 slices of pizza and 6 hamburgers
Cost: 2×4.75+6×5.55=9.50+33.30=42.80
This solution is non-viable because the total cost exceeds their budget.
6. 0 slices of pizza and 7 hamburgers
Cost: 7×5.55=38.85
This solution is non-viable because the total cost exceeds their budget.
In conclusion, the viable solutions are:
5 slices of pizza and 2 hamburgers
4 slices of pizza and 3 hamburgers
Possible in being viable:
3 slices of pizza and 2 hamburgers
25 POINTS
Which is the BEST definition of dilation?
A: a transformation that either reduces or enlarges an object in the coordinate plane
B: a transformation that spins an object in the coordinate plane
C: a transformation that either slides or shifts an object in the coordinate plane
D: a transformation that flips an object in the coordinate plane
Answers
Answer: A
Step-by-step explanation:
A dilation is not a rigid transformation, which means it has to scale the object into a different measure. So, enlarging or reducing the size of an object is a dilation.
please help me
What degree of rotation about the origin will cause the triangle below to map
onto itself?
Answers
given that ab is the diameter of a circle o find the missing angle and arc measures show your work look at the photo of the circle
Answers
The given angles are:
M arc CB=64°,M<AOC= 116° ,M arc AD=26°,M arc DFB=154°,M<CDB=32°.
How to solve thisFirst, we use the property that the measure of a central angle is equal to the measure of the intercepted arc.
Given that <COB = 64°, we know that the measure of arc CB is also 64°.
Next, we use the fact that the measure of an angle made on the circumference is half the measure of the angle made at the center.
We know that the measure of intercepted arc AD is 26°, and since the angle made at the center, <ABD, is 13°, we can calculate that the measure of arc AD is 2 x 13° = 26°.
Using the fact that a semicircle has a measure of 180°, we know that the measure of arc DFB is 180° - 26° = 154°.
Finally, we can use the angle CDB to find the missing angle.
We know that <CDB is an angle made on the circumference and that the measure of arc CB is 64°.
Thus, we can calculate that <CDB = 64°/2 = 32°.
Therefore, the missing angle is 32°.
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Help me please How would you informally prove that you are taking courses online?
A) You could show a registrar’s receipt with the current date.
B) You could show your course notes with the current date.
C) You could repeat all the material you learned.
D) You could ask for an enrollment verification notice from the school.
Answers
Answer: b is correct
Step-by-step explanation:
Write the following Babylonian numeral as a Hindu-Arabic numeral.
<|| <<||||
Answers
Answer:
The Babylonian numeral <|| <<|||| represents the number 51 in the Babylonian numeral system.
To convert it to the Hindu-Arabic numeral system, we first need to determine the place values of the symbols. The symbol <|| represents 50 and <<|||| represents 1.
So, we can write the number as:
50 + 1 = 51
Therefore, the Hindu-Arabic numeral equivalent of the Babylonian numeral <|| <<|||| is 51.
Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Answers
Answer: X = 25
Step-by-step explanation: Since 36 divided by 2 equals 18, which would cancel out the two on the left side leaving us with. (x - 7) = 18 we can add 7 to both sides to get. X = 25
Edit: To whoever said my math is incorrect is wrong, I even double checked with multiple sources and people. It must’ve been a different equation or number. Sorry for not being able to help, however the math was correct.
Malachi asks students in his class, "How long does it take you to get to school?" The histogram
shows the data.
Which statement best describes the distribution?
Answers
Answer:
The distribution is symmetric
Step-by-step explanation:
Because in both sides it has the same structure, so that means that the value is the same in both sides
