MATHEMATICS HIGH SCHOOL

A cylinder has a volume of 112​ cubic centimeters and a radius of 4 centimeters. What is its height?

Answers

Answer 1
Answer:

The height of the cylinder is 7 centimeters. The volume and radius of the cylinder were used to find the height using the formula for the volume of a cylinder.

The formula for the volume of a cylinder is given by V = πr²h, where r is the radius and h is the height.

Substituting the given values, we get:

112 = π(4²)h

Simplifying:

112 = 16πh

Dividing both sides by 16π:

h = 112 / (16π)

Using a calculator to evaluate this expression, we get:

h ≈ 0.55 cm

Therefore, the height of the cylinder is approximately 0.55 centimeters.

Learn more about cylinders here: brainly.com/question/16134180

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(3) - 4/5 (5) + 2/9 - 2/3 (3) - 1/5 (5)
A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? A.) 75 children and 25 adults Equation 1: a + c = 100 Equation 2: 3a − 2c = 275 B.) 75 children and 25 adults Equation 1: a + c = 100 Equation 2: 3a + 2c = 275 C.) 25 children and 75 adults Equation 1: a + c = 100 Equation 2: 3a − 2c = 275 D.) 25 children and 75 adults Equation 1: a + c = 100 Equation 2: 3a + 2c = 275
What is |5.4|?What is the opposite of 10?

What is the approximate area of the circle shown below?A. 191 cm 2
B. 49 cm 2
c. 96 cm 2
D. 24.5 cm 2

Answers

Answer:

Option A. 191cm²

The area of the circle is 191 cm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 7.8cm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (7.8cm)²

a = 3.14 * 60.84cm²

a = 191.03 cm²

The area of the circle is 191.03 cm²

Answer:

A is correct answer... 100% sure

Difference of numbers. The larger of two integers is 8 less than twice the smaller. When the smaller number is subtracted from the larger, the difference is 17. Find the two numbers.

Answers

let's call the numbers x (the bigger) and y (the smaller)

The larger of two integers is 8 less than twice the smaller. this means:

x=2z-8
When the smaller number is subtracted from the larger, the differenceis 17.

This means: x-z=17.


i'll insert
2z-8

instead of x, since it's equal to it: 
2z-8-z=17

2z-z is just z:
z-8=17

so

z=25.
and x must be 25+17=42

let's check:The larger of two integers is 8 less than twice the smaller.
twice the smaller is 50, and yes, 42 is 8 smaller than 50, it's correct!

so the two numbers are 25 and 42

∡1 and ∡2 are vertical angles. If m∡1 = 64°, find m∡2

Answers

Answer:

m∡2 = 64°

Step-by-step explanation:

By definition of vertical angles, the angles opposite of each other are equal each other.

∴ IF ∡1 and ∡2 are vertical angles, AND m∡1 = 64°, THEN m∡2 = 64°. (CPCTC - Definition of Vertical Angles).

~

Final answer:

Vertical angles are equal. Therefore, if ∡1 is 64°, then ∡2 is also 64°.          

Explanation:

In mathematics, vertical angles are a pair of non-adjacent angles formed when two lines intersect. By definition, vertical angles are equal in measure.                                    

Therefore, when angle 1 (∡1 ) and angle 2 ( ∡2 ) are vertical angles, if the measure of angle 1 ( m∡1 ) equals 64° as per the question, then the measure of angle 2 (m∡2) will also equal 64°.                      

So, m∡2 = 64°.

Learn more about Vertical Angles here:

https://brainly.ph/question/287711

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A coin is biased such that it results in 2 heads out of every 3 coin flips,on average.Which statement is true?A.)The theoretical probability of getting heads from an unbiased coin is about 66%.B.)The sequence HTHTTHTTT is valid for the biased coinC.)The biased coin has about a 33% probability of displaying tails.D.)The sequence HTTHTHTHT is valid for the biased coin.

Answers

The answer is C becuase the biased coin has a probability of 66% of landing on heads so it has a 33% probability to land on tails

Which set of data of temperatures has the largest dispersion as measured by its interquartile range?1) 15,17,19,21,21,22,28
2) 21,23,36,37,44,48,50
3) 10,19,22,23,23,29,44
4) 42,47,49,50,52,59,60

Answers

1) 22-17= 5
2) 48-23= 25
3) 29-19= 10
4) 59-47= 12

Which of the following formulas would find the lateral area of a right cylinder with height equal to h and r as the radius?A. LA = 2r2
B. LA = 2r
C. LA = 2rh
D. LA = 2r2 + 2rh

Answers

Answer:

Lateral surface area of right cylinder = 2 * π * radius * height.

Step-by-step explanation:

Given :   A right cylinder with height equal to h and r as the radius.

To find : Which of the following formulas would find the lateral area.

Solution : We have given that height of cylinder = h

                                                  radius of cylinder = r.

Lateral surface area of right cylinder = 2 * π * radius * height .

Formula for LA = 2πrh.

Therefore, Lateral surface area of right cylinder = 2 * π * radius * height.

Answer:

Answer: LA=2pie rh

Step-by-step explanation:
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