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3 years ago

9

Solve for x I need help please

1 answer:

olchik [2.2K]3 years ago

5 0

Check the picture below.

bear in mind that, a perpendicular line stemming from the right-angle like so, creates three similar triangles, a large one, containing the other two smaller ones, a medium and a small.

so.. .we can just use the medium and small proportions.

solve for "x".

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Evaluate cos0 if sin0= sqrt(5)/3<br><br> a. 9/5<br> b. 2/3<br> c. 5/9<br> d. 3/2

Evgesh-ka [11]

Solution given:

$\sin( \alpha ) = \frac{\sqrt{5} }{3}$

so

P=√5

h=3

b= $\sqrt{3 {}^{2} - \sqrt{5} {}^{2} }$

b=2

so

$\cos( \alpha ) = \frac{b}{h} = \frac{2}{3}$

Note

$\alpha = 0$

<u>b</u><u>:</u><u>⅔</u>

8 0

2 years ago

What is the sum of the first 100 terms of the sequence 4,9,14,19, ...?

Nadya [2.5K]

Answer:

25150

Step-by-step explanation:

First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)

So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.

To do this without spending hours writing them down, we can use this formula:

$S = \frac{n}{2} * (2a + (n - 1) * d)$

If we plug in our values, we have:

$S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)$

S = 50 * (8 + 495) = 50 * 503 = 25150

8 0

3 years ago

Read 2 more answers

of the 5th grade students, 15/20 went to the book fair. Of the students who went to the book fair, 12/16 bought ay least one boo

ycow [4]

Answer:

9/16 of the students

Step-by-step explanation:

first you can simplify 15/20 to 3/4

you can simplify 12/16 to 3/4

3/4*3/4=9/16

6 0

3 years ago

Read 2 more answers

Refer to the table below if needed.

elena-14-01-66 [18.8K]

A quadrant is the area that is divided into the x and y axes

The quadrants in which tan $\theta$ and cot $\theta$ are positive are I and III

<h3>How to determine the quadrants</h3>

The tangent of an angle is calculated as:

$\tan(\theta) = \frac{sin(\theta)}{\cos(\theta)}$

While the cotangent of the angle is calculated as:

$\cot(\theta) = \frac{cos(\theta)}{\sin(\theta)}$

The above equations mean that:

For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.

In the first quadrant, the sine and the cosine angles are positive.
In the third quadrant, the sine and the cosine angles are negative.

Hence, the quadrants in which tan $\theta$ and cot $\theta$ are positive are I and III

Read more about trigonometry ratios at:

brainly.com/question/8120556

7 0

2 years ago

185 calories in 5 hours is _____ calories per hour (Unit rates)

Lina20 [59]

Answer:

<em>37</em>

Step-by-step explanation:

To find the number of calories per hour, you need to divide

185 ÷ 5 = 37

When divided, you get the unit rate or <em>37 calories per hour</em>

6 0

3 years ago

Read 2 more answers