All categories

3 years ago

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics

1 answer:

natta225 [31]3 years ago

5 0

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.

The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.

You might be interested in

What is the discriminant of the polynomial 4x^2 - 20 x + 25 ?

Zarrin [17]

Hello from MrBillDoesMath!

Answer:

Discussion:

For the quadratic ax^2 + b^x + c, the discriminant is b^2 - 4ac. In our case, the discriminant is

(-20)^2 - 4 (4)(25) =

400 - 4 (100) =

(This means the polynomial has a duplicate root. In fact it factors as (2x-5)^2 ).

Thank you,

MrB

3 0

3 years ago

Read 2 more answers

2.(03.01 LC)

ale4655 [162]

592,722 is the correct answer

3 0

3 years ago

Read 2 more answers

Count from 170 through 410 U team tens and hundreds circle at least one benchmark number

mario62 [17]

I might not be understanding what you mean but I think it is by counting 10s. 170,180,190,200,210,220,230,240,250,260,270,280,290,300,310,320,330,410.

5 0

3 years ago

Which point is located at (2, 3)? A B C Or D

marin [14]

Answer:

Step-by-step explanation:

3 0

3 years ago

What are the solutions of x² + 6x - 6 = 10?

Likurg_2 [28]

Answer: x=- 8 or x=2

Step-by-step explanation:

1. To solve this problem you can applly the quadratic formula, which is shown below:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}$

2. The quadratic equation is:

$x^{2}+6x-6-10=0\\x^{2}+6x-16=0$

3. Then:

a=1

b=6

c=-16

4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:

$x=\frac{6+/-\sqrt{6^{2}-4(1)(-16)}}{2(1)}$

$x_1=-8\\x_2=2$

4 0

3 years ago

Read 2 more answers