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Liula [17]
3 years ago
15

Cody is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints al

l of the surfaces, how much area will he paint?
Mathematics
1 answer:
Artemon [7]3 years ago
3 0
To find out how much area he will paint, you will find the area of all 6 faces.

Each face is in the shape of a rectangle, so use A = lw as your formula.

Front/Back:  80 x 36 = 2880 square inches 
                    2880 square inches x 2 = 5760 square inches

Right/Left Sides:  80 x 2 = 160 square inches
                           160 square inches x 2 = 320 square inches

Top/Bottom:   36 x 2 = 72 square inches
                     72 square inches x 2 = 144 square inches

5760 + 320 + 144 = 6224 square inches.

Cody will paint 6224 square inches.
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Prove that triangle with side lengths of x^2-1, 2x, x^2+1 is a right triangle.
Brrunno [24]
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.

Let's find a^2 and b^2 by squaring the first 2 side lengths.

(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2

Then add the two to find c^2
x^4+ 2x^2 +1= c^2

Root both sides
x^2+1=c

Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
7 0
2 years ago
the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following
alisha [4.7K]

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

138+x+x=180 \iff 2x=42 \iff x=21

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

3 0
3 years ago
Joe’s balance in his checking account at the beginning of the month was $132. At the end of the month, it was 15.3% higher. What
Contact [7]
The answer would be $152.20 because 132*1.153=152.196, rounded to $152.20.
4 0
3 years ago
Two x subtracted by eight<br> 2x + 8
tatiyna

Answer:

(2x-8)(2x+8)

4x squared -64 is the answer

how you get it is by multiplying 2x times 2x to get 4x squared and -8 times 8 =    -64

hope this helps

if this is algebra 1 then this is right

5 0
3 years ago
Which expression is equivalent to 36-12x
Vera_Pavlovna [14]

Answer:

(i think this is wh ast your asking for)

x = 3

Step-by-step explanation:

36 - 12x = 0

- 12x = -36

x = 3

7 0
2 years ago
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