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2 years ago

A circle has a diameter of 15 feet. What is the circumference of the circle? (Express your answer using π.)

Mathematics

1 answer:

insens350 [35]2 years ago

5 0

B

The formula for circumference is $\pi$ d, or Pi times diameter

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Whats the extreme value?y=3(x+5)^(2)-4

natta225 [31]

Answer:

-4

Step-by-step explanation:

y = 3(x+5)²-4
y= 3(x²+10x+25)-4
y= 3x²+30x+75-4
y= 3x²+30x+71

Derivate the function

y' = 6x+30

solve the equation y'= 0

y'= 6x+30
6x+30= 0
6x= -30
x = -5

The extrme value of y is reached in -5

y = 3(-5+5)²-4= -4

6 0

2 years ago

Type the correct answer in each box.

Mariulka [41]

Answer:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$r=\sqrt{(2+4)^{2}+(-3-5)^{2}}$

$r=\sqrt{(6)^{2}+(-8)^{2}}$

$r=\sqrt{100}\ units$

$r=10\ units$

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

we have

$(h,k)=(5,-4)\\r=10\ units$

substitute

$(x-5)^2+(y+4)^2=10^2$

$(x-5)^2+(y+4)^2=100$

6 0

2 years ago

A rainstorm produced a rainfall of 2 inches per hour how many hours would it take to get a rainfall amount of 1 foot

Elis [28]

There are 12 inches in one foot. If it rains 2 inches per hour and we need one foot we need to look for a number that can be multiplied by 2 to get 12.
\

The answer is 6

8 0

2 years ago

Read 2 more answers

Which is true? 3+2=4+1 1+2=3+3 0+3=3+1

julsineya [31]

3 + 2 = 4 + 1 is true

1 +2 = 3 + 3 and 0 + 3 = 3+1 is not true

7 0

2 years ago

Find the total area of the figure below? Round to the nearest tenth PLEASE HELP ME!!!

ivann1987 [24]

I know the correct answer but first you have to answer my math question

3 0

2 years ago