The formula for the volume of a cylinder is V = πr2h. The volume of a cylinder is three times the volume of a cone with the same radius and height. If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is

Answers

Answer 1

Answer: Since the cone volume formula is V=1/3πr2h , and the volume of a cylinder is V=πr2h , the ratio of cone to cylinder 3/1 or 3 : 1

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Determine which ordered pair is a solution of y = –5x + 10. a. (–15, 5)b. (2, 0) c. (–1, –5) d. (3, 25)

Answers

y = - 5 x + 10
A ) x = - 15, y = 5
5 = 75 + 10
5 ≠ 85
B ) x = 2, y = 0
0 = - 5 · 2 + 10
0 = 0 ( correct )
C ) x = - 1, y = - 5,
- 5 = 5 + 10
- 5 ≠ 15
D ) x = 3, y = 25
25 = - 15 + 10
25 ≠ - 5
Answer:
B ) ( 2, 0 )

Answer:

B. (2,0)

Step-by-step explanation:

The given equation is;

$y=-5x=10$

If an ordered pair is a solution, then the ordered pair must satisfy the given equation.

For (-15,5),we have

$5=-5(-15)+10$

$5=75+10$ ,this is FALSE.

For (2,0), we have

$0=-5(2)+10$

$0=-10+10$ , this is TRUE

For (-1,-5), we have;

$-5=-5(-1)+10$

$-5=5+10$ , this is FALSE.

For (3,25), we have;

$25=-5(3)+10$

$25=-15+10$ , this is FALSE

Please help me with this im pretty confused ?

Answers

Answer:

a=6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 + 64= 100

a^2 +64-64 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Answer:

a = 6

The length of side a is 6.

Step-by-step explanation:

According to the question,

Using Pythagorean theorem

( a )² + ( b )² = ( c )²

Where, a and b are the base and c is the length of hypotenuse.

( a )² + ( 8 )² = ( 10 )²

evaluate the exponent

a ² + 64 = 100

subtract 64 from each side

a ² + 64 - 64 = 100 - 64

a ² = 36

Take the square root of each side

√a² = √36

a = 6

((46-(4-2)×5))÷2-4=
I need to show my work. The answer has to be 22

Answers

$((46-(4-2)* 5))÷2-4\n (46-(2)* 5)/ 2-4\n (46-10)/ 2-4\n 36/ 2-4\n 18-4\n =14$

$((46-(4-2)\cdot5))/2-4=\n(46-2\cdot5)/2-4=\n(46-10)/2-4=\n 36/2-4=\n 18-4=\n 14$

The solution to which inequality is shown?(Number line from negative 10 to 10 , tic marks at every integer , labels at negative 10 , negative 5 , 0 , 5 , 10 , open red circle on negative 4 , red shading to the left of the red circle.)
a. y + 3 ≥ –1
b. y + 3 > –1
c. y + 3 ≤ –1
d. y + 3 < –1

Answers

←←←←←←←←Ö
| | | | | | | | | | | | | | | | | | | | |
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

This is how I understand the word problem.

Since the circle above -4 is an open circle, it means that y is not equal to -4.

Since the arrow is going to the left of -4, the numbers are all less than -4.

y < -4

Among the choices, D. y + 3 < -1 is the correct answer.

y + 3 < -1
-3 -3
y < -4

Sally's soccer team played 25 games and won 17 of them. What percent did the team win

Answers

Answer:

Sally's soccer team won 68% of the games they played.

Anna is following this recipe to make biscuits.Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate

Answers

Answer:

130

Step-by-step explanation:

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