Answer:
According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.
55 + 30 = 85 degrees
180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)
The m∠C in the triangle is 95° as the other two angles are 55° and 30°
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Given, In a triangle, m∠A is 55° and m∠B 30°.
Therefore m∠C = 180° - 55° - 30°.
m∠C = 95°.
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help me please! I NEED TO HAND IT IN NOW
Answer:
4n + 4
Step-by-step explanation:
Azhar - n years old now.
Last year he was (n-1).
His mother was 4(n -1) last year.
Now his mother 4(n-1) + 1.
7 years later she will be 4(n - 1) + 1 + 7 = 4n - 4 + 8 = 4n + 4
Help me please people
Answer:
y = 16x +8
Step-by-step explanation:
Per means for every so and so, and a fee is one-time thing, so 16 would be with x and 8 as the y (intercept)
Factorise
3x square +6x
Hey!!
Solution,
3x^2+6x
take the common,
3x(X+2)
hope it helps
Good luck on your assignment
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A. 8/21
B. 2/7
C. 1/3
D. 2/3
Answer:
b 2/7
Step-by-step explanation:
Because there is a 6/21 chance and 2/7=6/21
Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?
Answer:
I THINK its the last one (8 root 10 to the power of 3x)
Step-by-step explanation:
A square root is the same thing as raising something to the 1/2. So the expression we have is (10^1/2)^3/4x.
Due to exponent rules we can multiply to get
10^3/8x which is the same thing as 10^3x/8
The 8 goes to the root and the 3x becomes the exponent
In this exercise we have to have knowledge about the properties of powers, so we have to:
Letter D
Recalling some properties of power, we find that:
Multiplication of powers with the same base.Division of powers with the same base.Power of potency.Potency of a product.Quotient power.Are returning to the exercise and using the properties informed, we find that:
[tex](10^{1/2})^{3/4x}\\10^{3/8x} = 10^{3x/8}[/tex]
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If g (x) is the inverse of f(x) and f (x) =4x+12, what is g(x)?
Answer:
y= x/4 - 3
Step-by-step explanation:
Write the equation in both factored and standard form?
Answer:
Factored Form: x = y/2 + 7
Standard Form: 2x - y = 14
Step-by-step explanation:
The lateral area of a right cylinder having a base diameter of 10 units and height of 10 units is:
Answer:
A = 100π units²
Step-by-step explanation:
To answer this we first find the circumference C = 2πr, and then multiply this C by the height:
C = 2πr, or C = πd. Here, C = π(10 units).
Then the lateral area of the cylinder is A = C*(10 units), or
A = 10π(10) units², or
A = 100π units²
The lateral surface area of the given right cylinder is 314 square units.
What is the lateral surface area of a right cylinder?The lateral surface area of a right cylinder is the product of the circumference of the base and the height of the cylinder.
Given, the base diameter(d) of the cylinder is 10 units.
Therefore, the base radius(r) of the cylinder is
[tex]= \frac{10}{2} units\\= 5 units[/tex]
The height(h) of the cylinder is 10 units.
Therefore, the lateral surface area of the cylinder is
= 2πrh square units
[tex]= 2(3.14)(5)(10)[/tex] square units
[tex]= 314[/tex] square units
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Create your own ratio. Be sure to describe the ratio in words first and then write the ratio as a fraction
[tex]7:3[/tex]
The ratio of 7 to 3.
The ratio as a fraction would be:
[tex]\frac{7}{3}[/tex]
Factor completely 2x2 + 6x − 80. (2x − 5)(x + 8) (2x − 10)(x + 8) 2(x − 5)(x + 8) 2(x − 10)(x + 8)
Answer:
2(x+8)(x-5)
Step-by-step explanation:
2x^2 + 6x − 80
Factor out a 2
2(x^2 + 3x − 40)
What 2 numbers multiply to -40 and add to 3
8*-5 = -40
8+-5 = -3
2(x+8)(x-5)
The right answer is 2(x-5)(X+8)
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
I’m really stuck on this ☹️
Answer:
2 adults and 2 senior citizens.
Step-by-step explanation:
There are 8 children, which means we need to take the number that represents the children from the graph which is 4 and multiply it by the 8 children going.
1. 4x8=32
So we have found the total for the 8 children, however there are 4 spots left
We take the total from the #1 and add 2 adults and 2 senior citizens.
32+6+6+3+3=50
We then come to the conclusion of 2 adults and 2 seniors.
Square the following numbers: 3 8 10
Answer:
3^2 = 9
8^2 = 64
10^2 = 100
the number 301 can be written as?
Answer:
three hundred and one
Step-by-step explanation:
This wasn't very clear..
Answer: the number 301 can be written as three hundred one.
Step-by-step explanation: the number 301 can be written as three hundred one. To find a, take the number and move a decimal place to the right one position. Now, to find b, count how many places to the right of the decimal. There are 2 places to the right of the decimal place.
state the coordinates of the endpoints of a line segment that is not parallel to either axis, and does not intersect either axis.
Answer:
Step-by-step explanation:
(2, 3) and (5, 6) are the endpoints of a line segment that is not parallel to either axis and does not intersect either axis.
What is coordinate of point line?
An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y coordinate.
What is line segment?A line segment is a piece or a part of line having two end points.
Since, a line segment is parallel to the either one axis if its one coordinate point is zero, whether it's y or x.
So for not parallel to either axis and does not intersect either axis we will choose those points which are not zero.
Therefore,
The coordinates of the end points of a line segment that is not parallel to either axis and does not intersect either axis will be (2, 3) and (5, 6).
Similarly, you can use any point using this concept like (7,9) ad (2,3) and many.
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Kyle drops a ball from a height of 15 feet above the ground. The function h = −16t^2 + 15 gives the height h of the ball (in feet) after t seconds. Graph the function. Then determine the approximate time the ball hits the ground.
Answer:
The ball will hit the ground at 0.968 seconds.
Step-by-step explanation:
Please refer to the attached graph in the answer area.
The given equation of height according to input variable time 't' is:
[tex]h = - 16 t^{2} + 15 ...... (1)[/tex]
h is in feet
t is in seconds
Both the values 't' and 'h' will be positive. (Time and height can never be negative)
To determine the time, at which the ball hits the ground, i.e. the height becomes 0.
Putting value of h = 0 in equation (1)
[tex]0 = - 16 t^{2} + 15 \\\Rightarrow t^{2} = \dfrac{15}{16}\\\Rightarrow t = \sqrt{\dfrac{15}{16}}\\\Rightarrow t = 0.968\ sec[/tex]
Hence, the time at which the ball hits the ground is 0.968 seconds.
Which of the following lists of ordered pairs is a function?
A) (1,1), (2,2), (3,1), (3,2)
B) (-2,3), (2,4), (-3,6), (3,7)
C) (0,3), (-1,4), (1,6), (-1,7)
D) (2,5), (3,-4), (4,7), (2,2)
Answer:
B
Step-by-step explanation:
its B because the input for every pair has the same output, if the input had different outputs it would be considered not a function. Imagine it like a vending machine, if you were to press 3 on the vending machine you would get whatever 3 was, but if you pressed 3 and you get something else besides whatever 3 is it would be broken. I hope this was helpful, I struggled learning this stuff but now I got it down lol.
The sum of three numbers is 54. The third number is 2 times the second. The second number is 10 more than the first. What are the numbers?
Answer:
8, 18 and 36 respectively.
explanationsum=54
1st number=x
2nd number=x+10
3rd number =2(x+10)=2x+20
x+x+10+2x+20=54
put the liketerms together
x+x+2x=54-10-20
4x=24
divide both sides by 4 to get
x=8
Input the other values
You want to have your carpet cleaned in your living room which measures 11’ by 14’. A company charges $2.75 per square foot and company B charges $450 per room. Which company should you hire to get a better deal?
Answer:
Since, company A charge of $423.5 is less than company B charge of $450
Hence,
Company A should be hired to get the better deal.
Step-by-step explanation:
Dimension of room: 11 * 14 foot
Area of rectangle is given by length * width
Thus,
area of room using above formula = 11*14 square foot = 154 square foot
For company A
charge for 1 square foot = $2.75
Charge for room = charge for 1 square foot * area of room
= 2.75 * 154 = 423.5
Thus, Total money charged by company A as calculated above is $423.5
Given,
company B charges $450 per room
Since, company A charge of $423.5 is less than company B charge of $450
Hence,
Company A should be hired to get the better deal.
Answer:
Company B
Step-by-step explanation:
Find the value of x
4x - 13 = 3x +7
Step-by-step explanation:
4x - 13 = 3x + 7
4x - 3x = 7 + 13
x = 20
Therefore x = 20
The GCF of the numbers in the expression (32 + 16) is
Answer:
GCF= 16
Step-by-step explanation:
factors of 32= 32, 16, 8, 4, 2, 1
factors of 16= 16, 8, 4, 2, 1
16 is the largest factor both numbers have in common
Answer: 16
Step-by-step explanation:
Remove the bracket a-2(b-3a). *
4 points
a-2b+6a
-2a+7b
7a+2b
-7a-2b
Can somebody help me figure out what 2x+3=2(x+3) equals? Thank you :)
[tex]\text{Solve:}\\\\2x+3=2(x+3)\\\\\text{Use the distributive property:}\\\\2x+3=2x+6\\\\\text{Subtract 2x from both sides}\\\\3=6\\\\\text{Since 3 doesn't equal 6, this equation is not true}\\\text{Therefore, there are no solutions}\\\\\boxed{\text{No solutions}}[/tex]
Can someone please help me ?
Answer:
yes3244
Step-by-step explanation:
i will help 5642
give the equation for the new circle obtained by translating the circle (x-2)^2+(y+4)^2=36 by 6 units to the right and 4 units up explain and show your work please
Answer:
equation for the new circle is;
(x - 8)² + y² = 36
Step-by-step explanation:
There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,
(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.
This gives us;
(x - 2 - 6)² + (y + 4 - 4)² = 36
This gives;
(x - 8)² + y² = 36
Which cannot be the angle measurements of triangle ABC?
Answer: D is incorrect
Step-by-step explanation:
What is the value of arc sin(2√2)?
Danielle says that her set of numbers are integers. Left-brace negative 253, negative 45, negative 0.9, 0, 26 Right-brace Danielle is wrong. Which explanation of why she is wrong is correct? Danielle has included negative numbers. Negative numbers are not integers. Danielle has included a decimal. Decimals are not integers. Danielle included zero. Zero is not an integer. Danielle included a positive number. Positive numbers are not integers.
Hey!Here is ur answer:
Danielle is wrong cause 'she has included a decimal'.
U might doubt that zero is might not be an integer but it is a neutral integer.
HOPE IT MAKES UR DAY BETTER!!
Danielle says that her set of numbers are integers the statement is wrong as the set contain decimal number because decimal numbers are not integers, so option C is correct.
What are integers?All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.
Given:
Danielle says that her set of numbers are integers. Left-brace negative 253, negative 45, negative 0.9, 0, 26 Right-brace,
Write the above phrase in the mathematical form as shown below,
(-253, -45, -0.9, 0, 26)
As we know that integers are whole numbers, they can't be a decimal numbers or a fraction,
Thus, the set of numbers are integers is wrong because it contains decimal numbers.
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Need help ASAP it’s geometry!!
Answer:
EF = 34, FG = 25
Step-by-step explanation:
EG is the total of the two smaller segments, EF and FG.
Therefore:
8x-14 + 4x+1 = EG
8x-14 + 4x+1 = 59
Now we can solve this equation.
8x-14 + 4x+1 = 59
12x-13 = 59
12x = 72
x = 6
Now, we can plug in the values of x into the expressions for the lengths of EF and FG:
EF
8x-14
8(6)-14
48-14
= 34
FG
4x+1
4(6)+1
24+1
= 25
When you put your powerade into your refrigerator its temperature is 48 F. If the refrigerator can cool drink at 3.75 F per hour, what will be the temperature of your Gatorade after 2 hours
Answer:
40.5
Step-by-step explanation:
3.75 * 2 = 7.50
48 - 7.50 = 40.5
Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of three students are possible? 7 C 3 = StartFraction 7 factorial Over (7 minus 3) factorial 3 factorial 7 35 70 210
Answer:
The number of different combinations of three students that are possible is 35.
Step-by-step explanation:
Given that three out of seven students in the cafeteria line are chosen to answer a survey question.
The number of different combinations of three students that are possible is given as:
7C3 (read as 7 Combination 3)
xCy (x Combination y) is defines as
x!/(x-y)!y!
Where x! is read as x - factorial or factorial-x, and is defined as
x(x-1)(x-2)(x-3)...2×1.
Now,
7C3 = 7!/(7 - 3)!3!
= 7!/4!3!
= (7×6×5×4×3×2×1)/(4×3×2×1)(3×2×1)
= (7×6×5)/(3×2×1)
= 7×5
= 35
Therefore, the number of different combinations of three students that are possible is 35.
There are 35 different combinations to chose 3 students from the 7 students
How to determine the number of combinations?The given parameters are:
Students, n = 7
Selected , r = 3
The number of different combinations is calculated using:
Combination = nCr
This gives
Combination = 7C3
Using the combination formula, we have:
Combination = 35
Hence, there are 35 different combinations to chose 3 students from the 7 students
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