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andreev551 [17]
3 years ago
15

A triangle has side lengths of (7.8v+2.6)(7.8v+2.6) centimeters, (5.3v+4.5)(5.3v+4.5) centimeters, and (2.4w-6.7)(2.4w−6.7) cent

imeters. Which expression represents the perimeter, in centimeters, of the triangle?
Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0

Given:

A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.

To find:

The expression which represents the perimeter, in centimeters, of the triangle.

Solution:

We know that

Perimeter of a triangle = Sum of length of all sides of the triangle

Perimeter=(7.8v+2.6)+(5.3v+4.5)+(2.4w-6.7)

Now, combine like terms.

Perimeter=(7.8v+5.3v)+(2.4w)+(2.6+4.5-6.7)

Perimeter=13.1v+2.4w+0.4

Therefore, the expression for perimeter, in centimeters, of the triangle is 13.1v+2.4w+0.4.

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Answer:

Step-by-step explanation:

First find the shaded area. Ignore the fact that something is missing.

L = 16

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Area = L*w           Substitute the givens

Area = 16*8

Area = 128

Now consider the white area. It has a "length" of 4 and a width of 8

L = 4

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Area = 32

Now subtract 32 from 128

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2 years ago
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Answers:

B = 50

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c = 17.0

================================================

Explanation:

This is a right triangle, so the acute angles are complementary, meaning they add to 90

B+40 = 90

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B = 50

Also, because this is a right triangle, we can use trig ratios to compute the missing sides

tan(angle) = opposite/adjacent

tan(40) = a/13

a = 13*tan(40)

a = 10.908

a = 10.9

cos(angle) = adjacent/hypotenuse

cos(40) = 13/c

c*cos(40) = 13

c = 13/cos(40)

c = 17.0

note: make sure your calculator is in degree mode

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3 years ago
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Step-by-step explanation:

We can use formula (a-b)² = a² -2ab + b².

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