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lys-0071 [83]
3 years ago
6

Find the area of the shaded region. Each shape is a square.

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

the area of the 2in. one is 4in.²

the area of the 3in. one is 9in.²

the area of the 6in. one is 36in.²

Step-by-step explanation:

the formula for area of a square is a²

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In the above figure, m∠P = 105° and m∠Q = 5x. If angles P and Q are supplementary angles, what is the value of x and the measure
Igoryamba

Answer:

B. x = 15, m∠Q = 75°

Step-by-step explanation:

Given:

m∠P = 105°

m∠Q = 5x

Angles P and Q are supplementary angles

To find value of x and m∠Q.

Solution:

m\angle P+m\angle Q =180\°     [Sum of supplementary angles =180°]

105+5x =180   [Substitution ∵ m∠P = 105° and m∠Q = 5x ]

Subtracting both sides by 105°.

105+5x-105 =180-105

5x =75

Dividing both sides by 5.

\frac{5x}{5} =\frac{75}{5}

∴ x=15

∴ m\angle Q=5x=5\times 15=75\°

4 0
3 years ago
Find the surface area of the rectangular prism. justify your answer 3ft, 2ft, 4ft
Gelneren [198K]

Answer: SA=52\ ft^2

Step-by-step explanation:

The surface area of a rectangular prism can be calculated with the following formula:

SA = 2wl + 2lh + 2hw

Where "l" is the length of the rectangular prism, "w" is the width and "h" is the height.

In this case you can say that the length, the width and the heigth of this rectangular prism, are the following:

l=4\ ft\\\\w=2\ ft\\\\h=3\ ft

Knowing these values, you can substitute them into the formula shown before:

SA = 2wl + 2lh + 2hw\\\\SA = 2(2\ ft)(4\ ft) + 2(4\ ft)(3\ ft)+ 2(3\ ft)(2\ ft)

Finally, you must evaluate in order to calculate the surface area of the rectangular prism.

You get that this is:

SA=2(8\ ft^2)+2(12\ ft^2)+2(6\ ft^2)\\\\SA=16\ ft^2+24\ ft^2+12\ ft^2\\\\SA=52\ ft^2

4 0
4 years ago
Need ASAP <br> Select the correct answer.<br> Which expression is equivalent to this quotient?
never [62]
Your answer is : D.)

Hope this helps love! <3
4 0
3 years ago
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A rectangular Prism has a length of 8 in., and a height of 21/4 in., how many cubes are needed to fill the rectangular prism?
taurus [48]

Answer:

I took this test before

The answer is 8320

7 0
3 years ago
Compare 8.25 and 8.250
GenaCL600 [577]
The answer is = because of you take away the 0 in the decimal 8.250 it's the same decimal as 8.25 and in decimals the zeros farthest to the right don't matter.
8.25 = 8.250
3 0
3 years ago
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