All categories

3 years ago

What is the value of x?

Mathematics

1 answer:

vladimir2022 [97]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Please help ASAP ASAP please

Serhud [2]

Answer:

PT = 1.5 , VT = 1.5√3

Step-by-step explanation:

Given

PV = 3

With reference angle 60°

hypotenuse (h) = 3

perpendicular (p) = ?

sin 60° = p/h

√3 / 2 = p / 3

p = √3 * 3 / 2

p = 1.5√3

With reference angle 30°

hypotenuse (h) = 3

perpendicular (p) = ?

sin 30° = p/h

1/2 = p/ 3

p = 1.5

Hope it will help :)❤

3 0

3 years ago

A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes,

olga55 [171]

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

<h3>How to calculate the correlation coefficient</h3>

The correlation coefficient (r) is calculated as:

$r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}$

Using the given parameters, we have:

$r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}$

Evaluate the exponents

$r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}$

Evaluate the products

$r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}$

Evaluate the differences

$r = \frac{19168}{\sqrt{[396411*3264}}$

Evaluate the product

$r = \frac{19168}{\sqrt{1293885504}}$

Evaluate the root

$r = \frac{19168}{35970.6}$

Evaluate the quotient

$r = 0.53$

Hence, the correlation coefficient is 0.53

Read more about correlation coefficient at:

brainly.com/question/1564293

8 0

2 years ago

I will mark as brainliest:)

labwork [276]

Hii I believe your option would be D. I hope it helps :)

8 0

3 years ago

Read 2 more answers

Determine which equation is belongs to the graph of the limacon curve below.

JulsSmile [24]

Answer: Option C.

Step-by-step explanation:

We have functions of r(θ)

In our graph, we can see that the minimum value of r is when θ = 0°, and the maximum value is when θ = 180°.

We also know that the graph is in the square (-5, 5)x(-5, 5) and you can see that the maximum radius is almost less than 5.

Then let's analyze the options:

A) r = 3 - 2*cos(θ)

the maximum is at the right angle, but the maximum is:

r = 3 -2*(-1) = 5, so this maximum value is bigger than the one in the graph.

B) r = 3 - sin(θ)

For the sin functions, the maximum and minimum do not correspond with the values i write earlier, so we can discard this option.

C) r = 3 - cos(θ)

The maximum is: r = 3 - (-1) = 4, so this may be the correct answer.

the minimum is r = 3 - 1 = 2,

this is a possible equation for our circle.

D) r = 2 - 2*cos(θ)

Here, when θ = 0, we have: r = 2 - 2*1 = 0, but in the graph we can see that the radius is not 0 when θ = 0, so we can discard this option.

So the only option that makes sense is option C.

8 0

3 years ago

Look at the pic help

Ivenika [448]

Answer:-68 i think

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers