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2 years ago

Find the value of x. round your answer to the nearest tenth.

Mathematics

2 answers:

Artist 52 [7]2 years ago

7 0

Answer:

A 77

Step-by-step explanation:

Anuta_ua [19.1K]2 years ago

5 0

Answer:

The answer is A. 77.

Step-by-step explanation:

Using trigonometry formula

We know, tan = opposite/adjacent

So, tan x° = 13/3

=> x° = $tan^{-1}$ (13/3)

∴ x° = 77.005° ≈ 77.01°

You might be interested in

The ordered pair (x,y) which satisfies the system of inequalities

astraxan [27]

Answer:

Step-by-step explanation:

it is D

7 0

3 years ago

The volume of a cylinder is represented by the equation V Tarah, where V is the

Illusion [34]

Answer:

$r=\sqrt{\dfrac{3V}{\pi h}}$

Step-by-step explanation:

The volume of a cylinder is given by :

$V=\dfrac{1}{3}\pi r^2h$ .....(1)

Where

r and h are the radius and the height of the cylinder.

We need to solve the equation of r. Cross multiplying both sides in equation (1).

$3V=\pi r^2h$

Dividing both sides by $\pi h$ . So,

$\dfrac{3V}{\pi h}=\dfrac{\pi r^2h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\or\\\\r=\sqrt{\dfrac{3V}{\pi h}}$

So, the radius of the cylinder is equal to $\sqrt{\dfrac{3V}{\pi h}}$ .

5 0

2 years ago

What is equivalent fraction of 2/3

Serga [27]

6/9
8/12
10/15
12/18
etc
etc
etc

5 0

3 years ago

Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) a

devlian [24]

Answer:

The area under the function $\int\limits^3_1 {9-x^2} \, dx \approx 7.25.$ .

Step-by-step explanation:

We want to find the Riemann Sum for $\int\limits^3_1 {9-x^2} \, dx$ with 4 sub-intervals, using right endpoints.

A Riemann Sum is a method for approximating the total area underneath a curve on a graph, otherwise known as an integral.

The Right Riemann Sum is given by:

$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)$

where $\Delta{x}=\frac{b-a}{n}$

From the information given we know that a = 1, b = 3, n = 4.

Therefore, $\Delta{x}=\frac{3-1}{4}=\frac{1}{2}$

We need to divide the interval [1, 3] into 4 sub-intervals of length $\Delta{x}=\frac{1}{2}$ :

$\left[1, \frac{3}{2}\right], \left[\frac{3}{2}, 2\right], \left[2, \frac{5}{2}\right], \left[\frac{5}{2}, 3\right]$

Now, we just evaluate the function at the right endpoints:

$f\left(x_{1}\right)=f\left(\frac{3}{2}\right)=\frac{27}{4}=6.75$

$f\left(x_{2}\right)=f\left(2\right)=5=5$

$f\left(x_{3}\right)=f\left(\frac{5}{2}\right)=\frac{11}{4}=2.75$

$f\left(x_{4}\right)=f(b)=f\left(3\right)=0=0$

Next, we use the Right Riemann Sum formula

$\int\limits^3_1 {9-x^2} \, dx \approx \frac{1}{2}(6.75+5+2.75+0)=7.25$

7 0

3 years ago

What is the standard deviation of the population: Use the stdevp function in the Desmos graphing calculator.

Mice21 [21]

The standard deviation of the given data is 3.5

<h3 /><h3>How to calculate the standard deviation of data?</h3>

Standard deviation is used to determine the rate of dispersion of data with respect to the mean.

The formula for calculating the standard deviation of data is given as:

$\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }$

Given the data below:

10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Using the stdevp calculator the standard deviation is calculated as:

σ = √12.405

σ = 3.5

Hence the standard deviation of the given data is 3.5

Learn more on standard deviation here: brainly.com/question/12402189

8 0

2 years ago