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2 years ago

A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 cubic centimeters.

1 answer:

8 0

B: To make the box, we need 2 triangular ends,

and 3 rectangular sides. Side the volume = 3240

and the height = 30, the area of each base (end) = 108.

The sides have areas of 30 x 42 = 720, and 30 x 15 = 450,

and there are 2 of those. So total area = 108 + 108 + 720 + 900 = 1836 cm^2

creds to yahoo answer

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Evaluate f(x) when x = 3.

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Answer:

Step-by-step explanation:

Since 3 is between -6 and 9 we use the first definition

f(3) = 6 x^2 +2

= 6(3)^2+2

= 6(9) +2

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3 years ago

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2 years ago

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Find the measure of the indicated angle to the nearest degree.

Paladinen [302]

Using Pythagorean triplete

$\\ \sf\longmapsto h^2=33^2+8^2$

$\\ \sf\longmapsto h^2=1089+64$

$\\ \sf\longmapsto h^2=1153$

$\\ \sf\longmapsto h=\sqrt{1153}$

$\\ \sf\longmapsto h=33.9$

$\\ \sf\longmapsto h\approx34$

Now

$\boxed{\sf sin\theta=\dfrac{h}{P}}$

$\\ \sf\longmapsto sin\theta=\dfrac{34}{8}$

$\\ \sf\longmapsto sin\theta=4.2$

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$\\ \sf\longmapsto \theta=30°$

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2 years ago

Use the diagram to fill in the blanks x= m∠=

faust18 [17]

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

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2 years ago

Amy is buying ribbon for an art projectShe estimates that she will need 3.84 meters of ribbon. The store only sells ribbon by th

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Answer:

3.90 meters.

Step-by-step explanation:

Since Amy needs ribbon for her art project, and she plans to buy 3.84 meters of that material, but the store only sells said product by the tenth of a meter, in order to get closer to the desired size she will have to buy 39 pieces of 10 cm (one tenth of a meter), that is, she must buy 3.90 meters, of which there will be 6 centimeters of the product left over.

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2 years ago