All categories

3 years ago

Find the value of x. Round to the nearest tenth a. 12.9b. 8.5c. 12.4d. 8.1

Mathematics

2 answers:

UkoKoshka [18]3 years ago

7 0

Use cosine:
cos36= x/10
8.09

aksik [14]3 years ago

4 0

Answer: The required value of x is 8.1 units.

Step-by-step explanation: We are given to find the value of x from the figure.

From the figure, we notice that

it is a right-angled triangle with the length of the hypotenuse 10 units and one of the acute angle is of measure 36°.

Now, for the angle with measure 36°, the length of the base is x units and the length of the hypotenuse is 10 units.

Therefore, from the laws of trigonometry, we have

$\cos 36^\circ=\dfrac{base}{hypotenuse}\\\\\\\Rightarrow \cos 36^\circ=\dfrac{x}{10}\\\\\\\Rightarrow x=10\times \cos 36^\circ\\\\\Rightarrow x=10\times 0.8090\\\\\Rightarrow x=8.09\\\\\Rightarrow x=8.1.$

Thus, the required value of x is 8.1 units.

You might be interested in

Work out the value of x

Umnica [9.8K]

Answer:

x=35

Step-by-step explanation:

A pentagon's sum of interior angles is 540 degrees.

Now, we can set up an equation.

(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540

Combine similar terms

16x - 20 = 540

16x = 560

4 0

3 years ago

Read 2 more answers

The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is

alexira [117]

Answer:

a) And if we replace we got: $\bar X= 78$

$s = 15.391$

b) $78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X= 78$

And the deviation is given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 15.391$

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$

Now we have everything in order to replace into formula (1):

$78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

8 0

3 years ago

What is the vertex of g(x)=-3x^2+18x+2? a) (3,-25) b) (-3,-25) c) (3,29) d) (-3,29)

poizon [28]

C). (3, 29) would be your answer.

Explanation?:

Rewrite the equation in vertex form.

y = -3(x - 3)^2 + 29

use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 3

k = 29

The vertex = (h, k)/(3, 29)

Hope this helps!

6 0

3 years ago

Please help i will mark you brainiest if you answer quick

Mice21 [21]

Answer:

x(2,3), y(2,5) z(7,3)

Step-by-step explanation:

4 0

3 years ago

What is the smallest subset that 46 belongs to

xeze [42]

Answer:

Natural/Counting Numbers

Step-by-step explanation:

It is the smallest subset a number can classify into. It is all of the numbers from 1 to positive infinity.

7 0

3 years ago