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3 years ago

Write an expression for the perimeter of the triangle below.

Mathematics

1 answer:

jekas [21]3 years ago

8 0

Answer:

8.9k

Step-by-step explanation:

We just have to add together the length of the three sides to find the perimeter of the triangle.

(1.8k-5)+(3.5+6.1k)+(k+1.5) = 1.8k-5+3.5+6.1k+k+1.5

Combine like terms.

1.8k-5+3.5+6.1k+k+1.5 = 8.9k + 0

= 8.9k

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part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.

andreev551 [17]

Answer: $\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}$

Step-by-Step Explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

$6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}$

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

$7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}$

Note: hypotenuse not needed for tan

$8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}$

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10

8 0

2 years ago

A line passes through point (-6,-5) and has a slope of -3/2 write in Ax+by=c

Evgesh-ka [11]

Answer:

-6x+-5y= -3/2

Step-by-step explanation:

Hope this helps

7 0

3 years ago

The lenght of a side of a sqeare whose perimeter is r units

suter [353]

Answer:

r/4 units

Step-by-step explanation:

each side of a square is of the same length, perimeter is the sum of the 4 length, length of a side of square = r/4 units

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2 years ago

What ratios are equivalent to 12:3

nlexa [21]

Answer:

4:1

Step-by-step explanation:

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3 years ago

Read 2 more answers

Evaluate the following expression when x = 3 and y = 4:

JulijaS [17]

I don't understand. What are the values given? Are they values of an x,y plot?
If you plot them they are a straight line with y =6x - 2.9 but I don't know what you mean by when x=3 and y = 4?

5 0

3 years ago