To find the gcf first find all the factors of 12 : 1,2,3,4,6 and 12. Then find the factors of 16: 1,2,4,8 and 16. The factors that both numbers have are 1,2 and 4. The greatest of those is 4. So the Gcf is 4.

4 0

3 years ago

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A trapezoid has an area of 342 square yards. The length of one base is 17 yards, and the length of the other base is 21 yards. W

dedylja [7]

The height of trapezoid is 18 yards

Solution:

Given that, trapezoid has an area of 342 square yards

The length of one base is 17 yards, and the length of the other base is 21 yards

To find: height of trapezoid

The area of trapezoid is given by formula:

$area = \frac{a+b}{2} \times h$

Where "h" is the height

"a" and "b" are the length of base

Here given that,

area = 342 square yards

a = 17 yards

b = 21 yards

h = ?

Substituting the values we get,

$342 = \frac{17+21}{2} \times h\\\\342 \times 2 = 38 \times h\\\\ 684 = 38h\\\\h = \frac{684}{38}\\\\h = 18$

Thus height of trapezoid is 18 yards

6 0

3 years ago

The diagram shows a circle inscribed in a square.

beks73 [17]

Answer:

Step-by-step explanation:

first lets find the area of the square

A=l*w

12*12=144 m^2

then lets find the are of the circle

A=pi*r^2

A=3.14*(d/2)^2

the diameter of the circle is 12m

A=3.14*(12/2)^2

A=3.14*(6)^2

A=3.14*36

A=113.04 m^2

Now, lets subtract the area of the circle form the area of the square

144-113.04= 30.96 m^2

So, the answer is A

5 0

3 years ago

Which of the following expressions are equivalent?

rjkz [21]

Answer:

E) (3x + 12) - (4 + x)

2x +8

B) 8 + 2x

2x + 8

7 0

3 years ago