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Alex787 [66]
3 years ago
14

7)If the circumference of a circle is 287, what is theradius of that circle?​

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0

Answer:

287/2π

Step-by-step explanation:

We know that the equation for the circumference is πd, so with πd=287, we can divide both sides by π to get d, the diameter, equal to 287/π. Then, we can divide both sides by 2 to get d/2, or the radius, equivalent to 287/2π

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The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area
Dmitry [639]

Answer:

486 centimeters³

Step-by-step explanation:

Surface area of a cube = 6s²

Where,

s = side length

Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.

s = 9 centimeters

Surface area of a cube = 6s²

= 6 × 9²

= 6 × 81

= 486 centimeters³

Surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters 486 centimeters³

8 0
2 years ago
PLEASE HELP WILL MARK BRAINLIEST Write the equation of the line parallel to the given line and passing through the given point.
Naily [24]

The parallel lines have the same slope.

The slope-intercept form: y = mx + b

m - a slope.

We have 6x + y = 4     |subtract 6x from both sides

y = -6x + 4 → m = -6.

The slope-point form:

y-y_1=m(x-x_1)

We have m = -6 and (-2, 3).

Substitute:

y-3=-6(x-(-2))\\\\y-3=-6(x+2)\\\\y-3=(-6)(x)+(-6)(2)\\\\y-3=-6x-12\qquad|+3\\\\y=-6x-9\qquad|+6x\\\\6x+y=-9

<h3>Answer: 6x + y = -9.</h3>
5 0
3 years ago
PLEASE HELP !!
Firlakuza [10]

Answer:

<u>200</u>

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

7 0
2 years ago
Solve 4x - c=k for x
kumpel [21]

Answer:

x=k/4+c/4

Step-by-step explanation:

4x-c=k

4x=k+c

x=k/4+c/4

8 0
3 years ago
Read 2 more answers
Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0
2 years ago
Read 2 more answers
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