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mihalych1998 [28]
3 years ago
7

A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism?

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases).  The dimensions of these are:
24 by 26
10 by 26
26 by 26

These are all rectangles.  The area of each rectangle is given by length * width:
24*26 = 624
10*26 = 260
26*26 =676

624+260+676=1560
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Use graph to answer question
slamgirl [31]

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

5 0
3 years ago
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Rina8888 [55]

Answer:

a = -15, b = -.5, c = -1

Step-by-step explanation:

1/3a = -5 --> multiply each side with 3 --> a = -15

12 - b = 12.5 --> subtract 12 from both sides --> -b = .5 --> multiply each side with -1 to get b positive --> b = -.5

.1 = -10c --> multiply each side with -10 --> c = -1

8 0
3 years ago
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densk [106]
To get the answer of 7,280 all i can figure out is to multiply (X) 364 x 20 = 7,280 and that gives you the answer you show of 7,280.
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3 years ago
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melisa1 [442]

Answer:

19657

Step-by-step explanation:

By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³

2*10⁴ = 20000

20000 - 7³ = 19657

This is the third time I've seen this question. Are you posting this question again and again?

7 0
2 years ago
Solve.<br> 8<br> 1<br> 7<br> 3*+ 3x = 4 + x<br> 3<br> The value of x is<br> What is the value of x ?
nadya68 [22]

Answer:

I got 1/2 one half..

Step-by-step explanation:

7 0
2 years ago
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