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8_murik_8 [283]
2 years ago
5

Find the surface area of the prism 12in 4 in 3in 5in 5in 6in​

Mathematics
1 answer:
Mamont248 [21]2 years ago
5 0

Answer:

Area of trapezoid:

12 + 6<-- your two bases of the trapezoid = 18

18 x 4 = 72, 72 divided by 2 = 36

now we multiply by 2 since there are 2 trapezoids:

36 x 2 = 72

Area of rectangle in front:

6 x 3 = 18

Area of the 2 rectangles on the sides:

5 x 3 = 15

(multiply by 2 since there are two rectangles on both sides)

15 x 2 = 30

Area of rectangle on the back:

12 x 3 = 36

Now lets add up all the areas:

72 + 18 + 30 + 36 = 156 in2 is your answer.

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The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
Lilit [14]

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

4 0
3 years ago
Find the missing side length ED Round answe to the nearest tenth please.
GarryVolchara [31]

Answer:

Step-by-step explanation:

Considering the given triangle EDI, to determine ED, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

ED/SinI = DI/SinE = EI/SinD

Therefore

Recall, the sum of the angles in a triangle is 180°. Therefore,

I° = 180 - (36 + 87) = 57°

Therefore,

ED/Sin 57 = 26/Sin 36

Cross multiplying, it becomes

EDSin36 = 26Sin57

0.588ED = 26 × 0.839

0.588ED = 21.814

ED = 21.814/0.588

ED = 37.1 m

8 0
2 years ago
HELP PLEASEEE!!!
kodGreya [7K]

Answer: The correct answers are $45.15, $247.25 and $129

Step-by-step explanation:

In order to solve the problems you need to multiply each percentage by his gross monthly pay.

$2,150 x .021 = $45.15

$2,150 x .115 = $247.25

$2,150 x .06 = $129

4 0
2 years ago
What is the rate of change of the contractor's total earnings in dollars with respect to the
cluponka [151]

Answer: Your answer is A: 8.75 Per hours worked.

Step-by-step explanation:

8 0
2 years ago
Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid
ludmilkaskok [199]

Answer:

Whichever refrigerator has the HIGHEST temperature will make the hot liquid cool slower and whichever one has the LOWEST temperature will cool the hot liquid faster

Step-by-step explanation:

EXAMPLE: If one is 55 degrees and the other one is 5 degrees, the one that is 5 degrees will cool the hot liquid faster.

3 0
2 years ago
Read 2 more answers
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