A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Answers
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
Related Questions
A manufacturer claims that a particular automobile model will get 50 miles per gallon on the highway. The researchers at a consumer-oriented magazine believe that this claim is high and plan a test with a simple random sample of 25 cars. What should the researchers conclude if the sample mean is 49 miles per gallon with standard deviation 2.3 miles per gallon
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Given values:
[tex]The \ population\ mean(\bar{x})=50\\\\The \ sample \ mean, \mu =49\\\\standard \ deviation, \sigma =2.3\\\\ (n)=25\\\\null, H_o :\ \mu=50\\\\alternate, H_1 :\ \mu<50\\\\ testing \ the \ statistic (t) = \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt(n)}}\\\\to = \frac{49-50}{\frac{2.3}{\sqrt{25}}}\\\\to =-2.1739\\\\| to | =2.1739\\\\p-value\ :left \ tail - H_a : (p < -2.1739 )=0.0199\\\\null, H_o: \ \mu=50\\\\alternate, H_1: \ \mu<50\\\\test \ statistic: \ -2.1739\\\\p-value: 0.0199 \sim 0.02\\\\[/tex]
Therefore, the 0.02 p-value is sufficient proof to reject the claim form of the manufacturer.
A taco shop is offering a 20% discount on their nacho plate. The original cost of the nacho plate is $15. After applying the discount, how much would the nacho plate cost?
$10
$12
$5
$3
Answers
Answer:
3$
Step-by-step explanation:
To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.
So all you have to do is:
15 x 0.20
which gives you an answer of 3.
Thus the post-discount amount is $3.
The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?
Answers
Answer:
16
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(2520 / 180) + 2 = 16 sides
Parallel slope of line x-7y=7
Answers
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
B. Evaluate
a) [ (-48) ÷ 12 ] ÷ 4
b) [ (-16) +6 ] ÷ [(-2) +1 ]
c) 0 ÷ (-15)
Answers
Answer:
A. -1
B.10
C.0
Step-by-step explanation:
Use calculator*
What is the solution set for
2|x -3| = 12?
A) No solution
B) {-9,9}
C) (-3,9)
D) {-9,3)
Answers
Answer: C. (-3, 9)
Step-by-step explanation:
Given
2|x-3|=12
Divide both sides by 2
2|x-3|/2=12/2
|x-3|=6
Take of absolute value sign (REMEMBER need to take into consideration of two conditions)
x-3=±6
1)x-3=6
x=9
2)x-3=-6
x=-3
**NOTE**: need to check each solution whether or not they are suitable
Hope this helps!! :)
Please let me know if you have any questions
A cone and sphere have the same volume. The height of the cone is 96 units. What could the values of the radius of the cone and sphere? Round answers to nearest hundredth.
Answers
Answer:
r=24
Step-by-step explanation:
[tex]\pi r^2\frac{96}{3} = \frac{4}{3} \pi r^3\\r = 24[/tex]
The values of the radius of the cone and sphere is 24 units.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.
Given that, the height of the cone is 96 units.
A cone and sphere have the same volume.
Volume of a sphere = Volume of a cone
4/3 πr³=1/3 πr²h
4r³=r²h
4r=96
r=24 units
Therefore, the radius is 24 units.
To learn more about the volume of a cone visit:
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Which number line shows the solution to the inequality
Answers
Answer:
Option B
Step-by-step explanation:
What does a quadratic equation look like?
Answers
Answer:
[tex]a{x}^{2} + bx + c = 0[/tex]
Step-by-step explanation:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Examples of quadratic equations include all of these:[tex]y = {x}^{2} + 3x + 1[/tex]
Hope it is helpful......The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.5 suppose 49 golfers played the course today find the average score of the 49 golfers exceeded 65 round to four decimal places
Answers
Answer:
0.3897
Step-by-step explanation: i g o o g l e it
Will give brainliest to the smartest answers
Find the value of z.
800
1930
1120
2
z = [? ]°
Answers
Answer:
Z is 87
Step-by-step explanation:
X+ 112 is the intercepted Arc of Angle 93- the arc measure is 2*93= 186
the intercepted arc of angle z is 360- 186= 174
half the arc measure of Z is the measure of angle Z 174/2= 87
3. The table shows five states and the lowest point in each state.
lowest elevation (feet)
state
California
-282
Colorado
3350
Louisiana
-8
New Mexico
2842
Wyoming
3099
Put the states in order by their lowest elevation, from least to greatest
Answers
Answer:
California, Louisiana, New Mexico, Wyoming, Colorado
Step-by-step explanation:
Simple order sense
The order of states from least to greatest elevation is:
California, Louisiana, New Mexico, Wyoming, and Colorado.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Arranging the states in order from lowest to highest elevation:
State Lowest Elevation (ft)
California -282
Louisiana -8
New Mexico 2842
Wyoming 3099
Colorado 3350
Therefore,
The order of states from least to greatest elevation is:
California, Louisiana, New Mexico, Wyoming, and Colorado.
Learn more about expressions here:
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Solve for x:
y = a + cx
Answers
Answer:
[tex]\large{x=\frac{y-a}{c}}[/tex]
Simplified
[tex]\large{x=\frac{y}{c}-\frac{a}{c}}[/tex]
You can either choose simplified or the first one. Both solutions work.
Step-by-step explanation:
First, we have to isolate x-term.
[tex]\large{y=a+cx}[/tex]
This form of equation is called "Literal Equation" where y-term is currently isolated. Now we are going to isolate x-term by subtracting both sides by a-term.
[tex]\large{y-a=a+cx-a}\\\large{y-a=cx}[/tex]
We can say that we simply move the term to the another side and change the sign to the opposite (From plus to minus)
The next thing we are going to do is to divide the whole equation by c-term. Remember, we do not just divide y-term or a-term. We divide the whole expression.
[tex]\large{\frac{y-a}{c}=\frac{cx}{c}}\\\large{\frac{y-a}{c}=x}[/tex]
Finally, the x-term is isolated and thus been solved.
The form of [tex]\large{\frac{y-a}{c}}[/tex] can be simplified to [tex]\large{\frac{y}{c}-\frac{a}{c}}[/tex]
Answer:
x = [tex]\frac{y-a}{c}[/tex]
Step-by-step explanation:
subtract 'a' first
divide by 'c' second
After basketball practice, 8 players equally shared 3 water bottles of water. What fraction of a bottle did each player get?
Answers
Answer:
3/8
Step-by-step explanation:
You have three bottles and 8 players. You have to spread 3 bottles over 8 players. Here you get the fraction 3/8, or 3 over 8. This fraction is already simplified, which you know because 3 and 8 have no common factors. Thus you have your answer completed: 3/8.
Determine which of the following are solutions to the equation below.
Answers
Answer:
Option c) +/- √14
Step-by-step explanation:
+/- √14² = 14
Answer:
c
Step-by-step explanation:
c. +/-radical 14 this answer of x square = 14
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no files
Answers
Answer: 18 0/1
Step-by-step explanation:
hillary paid 8$ for 12 dounts. what is the approximate unit cost for each donut
Answers
Answer:
Step-by-step explanation:
You have to multiply 8 times 12 and that is 96
Answer:
$1.50
Step-by-step explanation:
12÷8
Re-write the quadratic function below in Standard Form
y = -7(2x + 3)(x - 2)
Answers
Answer:
-14x² + 7x + 42
Step-by-step explanation:
(2x + 3)(x - 2) = 2x² - 4x + 3x - 6 = 2x² - x - 6
-7(2x² - x - 6) = -14x² + 7x + 42
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Answers
Answer:
OK Please mark me brailiest to follow your channel.
A car travels at an average speed of 90 km per hour.
2.2.1
3 hours?
How far will the car travel in 3
Answers
9514 1404 393
Answer:
270 km
Step-by-step explanation:
Distance is related to speed and time by ...
distance = speed · time
distance = (90 km/h)(3 h) = 270 km
The car will travel 270 km in 3 hours.
Helppppp
A coin is weighted so that the probability of getting heads is Suppose you toss this coin 15 times. Let X
represent the number of heads. What are the mean and standard deviation of X?
= 0.67.00.88
H-7.50 -2.33
H-7.50 -3.23
10, 1.83
Answers
Answer:
C) 10, 1.83
Step-by-step explanation:
Answer:
should be D) = 10, = 1.83
Step-by-step explanation:
guessed it right, edge 23
which shape has 4 lines of symetry?
A. Equilateral Triangle
B. Thin rhombus
C. rectangle
D. rhombus that is thick as a sqaure
Answers
I need help I forgot how to do this helppppppppppp!!!!!!!!!!!
Answers
Answer:
it's a trapezoid
Step-by-step explanation:
((major base + minor base) x height) / 2
((7+5)x8) / 2 = 52
A small box measures 4 in.by 3in. by 3/4 in. high. Find the volume of the box
Answers
Answer:
V=e^3
Step-by-step explanation:
Select the correct answer.
Which of these graphs represents a function?
W.
X.
Y.
Z.
A.
W
B.
X
C.
Y
D.
Z
Answers
The graph that represents a function is graph X
For a graph to represent a function, then the graph must pass the vertical line test.
This means that, no two output values of the graph must have the same input value.
The above statement can be interpreted as:
For every x value, there must be exactly one corresponding y value.
From the given graphs, only graph X passes the vertical line test, because every x value has exactly one corresponding y value.
Hence, the graph X represents a function
Read more about graphs and functions at:
https://brainly.com/question/3939432
Answer:
the answer is x ! hope this helps
Step-by-step explanation:
i took the test
Show that area under multivariate normal distribution over the whole range in unity. Find characteristics function of multivariate normal distribution and mean and variance of multivariate normal distribution. Differentiate between univariate and multivariate normal distribution and their practical applications. Also explain characteristic function, its application and differentiate between mean and variance of univariate and multivariate normal distribution with help of some practical examples
Answers
Answer:
here is the answer
Step-by-step explanation:
you may please search it
Let X denote the number of alpha particles emitted by a sample of Barium-133 in one tenth of a second. The following 50 observations of X were taken with a Geiger counter in a fixed position:
7 4 3 6 4 4 5 3 5 3
5 5 3 2 5 4 3 3 7 6
6 4 3 11 9 6 7 4 5 4
7 3 2 8 6 7 4 1 9 8
4 8 9 3 9 7 7 9 3 10
The experimenter is interested in determining whether X has a Poisson distribution.
a. What is λMLE for the parameter λ of a Poisson distribution? Compute λMLE for the above data.
b. Partition the set of outcomes for this experiment into the sets A1 = {0, 1, 2, 3}, A2 = {4}, A3 = {5}, A4 = {6}, A5 = {7}, and A6 = {8,9,10,...}. Assuming X ∼ Poisson(λMLE), compute P(X ∈ Ai) for i = 1,...,6.
c. Use a Chi-square test with the above partition to test:
H0 : X ∼ Poisson(λMLE),
H1 : X ∼/ Poisson(λMLE).
Answers
Answer:
can you further elaborate with a picture?
Step-by-step explanation:
6x + 3 = 9x - 12 solve for x
Answers
Answer:
x = 5
Step-by-step explanation:
6x + 3 = 9x - 12
+12 +12
6x + 15 = 9x
-6x -6x
15 = 3x
/3 /3
x = 5
To check work:
6(5) + 3 = 9(5) - 12
30 + 3 = 45 - 12
33 = 33
What are the solutions of the following equation?
Answers
Answer:
D. x = 7 and x = 14
Step-by-step explanation:
this is a quadratic equation, so use the quadratic formula: (-b+-√b^2-4ac) / 2a for ax^2+bx+c=0
PLEASEEEEE HELPPPPPPPP
Answers
Answer:
2 and 4 has no soulotions, and C has one
Step-by-step explanation:
