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3 years ago

Simplify 12,176 divided by 24

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

12,176/24 = 1522/3 or 507 1/3

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Find the circumference and the area of a circle with radius 3 m.

Effectus [21]

Answer:

$\boxed {c= 18.84 \ m}$

$\boxed {a=28.26 \ m^2}$

Step-by-step explanation:

We are asked to find the circumference and area of a circle with a radius of 3 meters.

<h3>1. Circumference </h3>

The circumference is the perimeter of a circle. It is calculated using the following formula:

$c= \pi d$

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.

d= 2 r
d= 2 * 3 m
d= 6 m

The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

$c= (3.14)(6 \ m )$

Multiply.

$\bold {c= 18.84 \ m}$

The area is the size of the circle's surface. It is calculated using the following formula.

$a= \pi r^2$

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

$a= (3.14)(3 \ m)^2$

Solve the exponent.

(3 m)² = (3 m)(3 m)= 9 m²

$a= (3.14)(9 \ m)^2$

$\bold {a=28.26 \ m^2}$

The circumference is 18.84 meters and the area is 28.26 square meters.

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3 years ago

In rectangle ABCD, AC = -x + 21, BP = -9x + 19, and DP = -y + 5. Find the value of y.

creativ13 [48]

Answer:

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

$BP=\frac{1}{2}AC$

$DP=BP$

step 1

Find the value of x

$BP=\frac{1}{2}AC$

substitute the given values

$(-9x+19)=\frac{1}{2} (-x+21)$

solve for x

Multiply by 2 both sides

$-18x+38=-x+21$

$18x-x=38-21\\17x=17\\x=1$

step 2

Find the value of y

$DP=BP$

we have

$BP=-9x+19$

$DP=-y+5$

substitute

$-y+5=-9x+19$

substitute the value of x

$-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5$

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3 years ago

Which statement is correct?

fiasKO [112]

Answer:

Ima guess c

Step-by-step explanation:

dont choose mines I guessed

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3 years ago