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Dovator [93]
2 years ago
8

This is the last one

Mathematics
2 answers:
enyata [817]2 years ago
7 0

Answer and Step-by-step explanation:

To get the answer, you must add 3 to both sides to get s by itself.

s - 3 + 3 = -10 + 3

<u>This is the answer.</u>

<u>s = -7</u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

qaws [65]2 years ago
3 0
+3 to both sides and you get s = -7
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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded
Crank

Answer:

A=81(\pi-1)\ in^2

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

A=\pi r^{2}

we have

r=18/2=9\ in ---> the radius is half the diameter

substitute

A=\pi (9)^{2}\\A=81\pi\ in^2

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

D^2=2b^2

where

b is the length side of the square

we have

D=18\ in

substitute

18^2=2b^2

solve for b^2

b^2=162\ in^2 -----> is the area of the square

Divide by 2

162/2=81\ in^2

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The  area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

so

A=(81\pi-81)\ in^2

simplify

A=81(\pi-1)\ in^2

8 0
3 years ago
I need help on this please
ss7ja [257]

Answer:D

Step-by-step explanation:

.708333... so about .71

14+23+14=51

51 divided by 72=~.71

6 0
3 years ago
One circular table has a diameter of 8 ft, and another circular table has a diameter of 12 ft. How much greater is the area of t
mezya [45]

Answer:

20π sq ft ≈ 62.83 sq ft

Step-by-step explanation:

Area of table with diameter 8 ft = π*8^2/4 = 16π

Area of table with diameter 12 ft = π*12^2/4 = 36π

Difference between the area of the tables ;

= 36π - 16π

= 20π sq ft ≈ 62.83 sq ft                              ( π = 3.14)

8 0
3 years ago
Read 2 more answers
What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
Which of the following represents the diameter of the circle below?
Svetach [21]

Answer:

xy represents the diameter

7 0
2 years ago
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