MATHEMATICS HIGH SCHOOL

SOLVE for r.
V=(1/3)pi r^2 h

Answers

Answer 1
Answer: V=(1/3)pi r^2 h
3V = pi r^2 h
3V/pi = r^2 h
3V/h*pi = r^2
r = sqrt (3V/h*pi)
Answer 2
Answer: This is a picture of the answer.

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the length of a garden is 4 m longer than the width. if the area of the garden is 196m^2, find the width of the garden.

Answers

l = 4 + w 
w = w 
A = 196 m^2

A = lw
A= (4+w)w
196 = w^2 +4w

w^2 + 4w - 196 = 0

The quadratic roots (or zeros) of the function are 12 and -16. 

Since -16 does not make sense as a measure of width, then 12 is the answer. 

Determine the number of ways to choose a set of 9 pencils from a selection of 10.

Answers

Answer:

The number of ways to choose a set of 9 pencils from a selection of 10 is 10.

Step-by-step explanation:

According to the combination formula, the total number of ways to select r items from total n items is

^nC_r=(n!)/(r!(n-r)!)

Total number of pencils = n = 10

Number of selected pencils = r = 9

The number of ways to choose a set of 9 pencils from a selection of 10 is

^(10)C_(9)=(10!)/(9!(10-9)!)

^(10)C_(9)=(10* 9!)/(9!1!)

^(10)C_(9)=10

Therefore the number of ways to choose a set of 9 pencils from a selection of 10 is 10.
label the pencils:
a b c d e f g h i j
choosing 9 of them will exclude one. There are 10 pencils, so 10 opportunities to exclude one of them. So there are 10 ways, to answer your question.

Simplify the expression 18 + 12xa 2 (9 + 5x )
b 3(6 +3x)
c 6 ( 3 + x)
d (3 + 2x)
​

Answers

Answer:

c:) 6(3 + 2x)

Step-by-step explanation:

The given expression is 18 + 12x. To simplify this expression, we can first look for any common factors that can be factored out. In this case, we can factor out 6, which gives:

18 + 12x = 6(3 + 2x)

So, the simplified expression 18 + 12x is 6(3 + 2x).

Solve each quadratic equation by factoring.0=8a² -10a+3

Answers

8a² - 10a + 3 = 0
x = -10 +/- √(-10)² - 4(8)(3)
                      2(8)
x = -10 +/- √100 - 96
                 16
x = -10 +/- √4
            16
x = -10 +/- 2
           16
x = -10 + 2    x = -10 - 2
           16                 16
x = -8            x = -12
      16                   16
x = -1/2        x = -3/4

An exterior angle at the base of an isosceles triangle measures 140 degrees. What is the measure of the vertex angle?

Answers

The correct answer for the question that is being presented above is this one: 40 degrees, 40 degrees, and 100 degrees.

Given that the exterior angle is 140 degrees, then the supplementary angle is = 180 - 140 = 40 degrees.

The vertex angles are the following: 40, 40, and 100.

PLEASE HELP ME ANWSER THIS♥️♥️♥️♥️​

Answers

First we need to know what a bisector is. A bisector is a line that divides an object into equal parts. So, If we know that line L is a bisector line, we know that PA = PB.

Hope this Helps!!! :)
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