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True [87]
3 years ago
12

A triangular prism has base edges 3 cm, 5 cm, and 7 cm long. Its lateral area is 285 cm? What is the height of the prism?

Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Answer:

The height is 24 centimeters

Step-by-step explanation:

The perimeter of the triangle base is P = a+b+c = 4+6+7 = 17 cm long.

The lateral surface area (abbreviated LSA) of any prism can be found using this formula

LSA = P*h

where P is the perimeter along the base and h is the height of the prism.

We're given the lateral area of 408, so LSA = 408.

Let's use that LSA value, along with P = 17 as well to solve for h.

LSA = P*h

408 = 17*h

408/17 = 17*h/17

24 = h

h = 24

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Answer:

=

Step-by-step explanation:

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Well, assuming m of angle ABD is 90 degrees, then you would add and then solve.

2x+14+x+7=90

3x+21=90

3x=69

=

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4 0
3 years ago
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Http://lbcsd.innersync.com/sites/jhayes/documents/U1M3Gr6pg.49-502015JHayes.pdf
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3 years ago
An angle measures 70° less than the measure of its complementary angle. What is the measure of each angle?
Elina [12.6K]

Answer:

Larger angle: 80 degrees

Smaller angle: 10 degrees

Step-by-step explanation:

complementary angles = two angles that add up to 90 degrees

x = larger angle

x + x - 70 = 90             Add like terms

   2x - 70 = 90                Add 70 on both sides

           2x = 160               Isolate the variable by dividing 2 on both sides

               x = 80

x = larger angle , 80 degrees

x - 70 = smaller angle , 10 degree

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please Mark As brainliest!!!</em></u></h3><h3><u><em>Thank You !!!</em></u></h3><h3><u><em>: )</em></u></h3>

<u><em></em></u>

5 0
3 years ago
What is the surface area of this design? 5 in 5 in 6.4 in 5 in 9 in
xeze [42]

ANSWER

197 {in}^{2}

EXPLANATION

The area of the two tra-pezoidal faces

= 2 \times  \frac{1}{2}  \times (9 + 5) \times 5 = 70 {in}^{2}

The area of the 5 by 6.4 rectangular face

= 6.4 \times 5 = 32  {in}^{2}

The area of the two square faces

= 2(5 \times 5) = 50 {in}^{2}

The area of the 9 by 5 rectangular face is

= 9 \times 5 = 45 {in}^{2}

The surface area of the design is:

70 + 32 + 50  + 45=197 {in}^{2}

6 0
3 years ago
How many cubes with edge lengths of 1/4 in. will it take to fill the prism?
Ulleksa [173]

Answer:

1560

Step-by-step explanation:

First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10

Next, 3/(1/4) = 3(4) = 12

Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13

This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.

Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8

A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64

(195/8)/(1/64) = (195/8)(64) = 1560 cubes.

3 0
2 years ago
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