All categories

3 years ago

What is the value of x? A. 4 B. 4√3 C. 8 D. 8√3

Mathematics

1 answer:

SashulF [63]3 years ago

4 0

Answer:

B. 4√3

Step-by-step explanation:

$\sin \: 60 \degree = \frac{x}{8} \\ \\ \therefore \: \frac{ \sqrt{3} }{2} = \frac{x}{8} \\ \\ \therefore \: x = \frac{8 \times \sqrt{3} }{2} \\ \\ \therefore \: x = 4 \times \sqrt{3}\\ \\ \huge \purple{ \boxed{ \therefore \: x = 4 \sqrt{3} }}\\$

You might be interested in

If the length of a netball court is 30.5m what scale has been used on this diagram?

aleksklad [387]

Provide the measurements of the court in the book, please.

8 0

3 years ago

The number of newly reported crime cases in a county in New York State is shown in

JulsSmile [24]

Answer:

The linear regression equation that represents the set of data is:

$y=1083.48+23.73x$

The predicted number of new cases for 2013 is 1368.

Step-by-step explanation:

The general form of a linear regression is:

$y=a+bx$

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

Compute the values of a and b as follows:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}$

The linear regression equation that represents the set of data is:

$y=1083.48+23.73x$

Compute the predicted value of the number of new cases for 2013 (i.e. x = 12) as follows:

$y=1083.48+23.73x$

$=1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368$

Thus, the predicted number of new cases for 2013 is 1368.

8 0

3 years ago

The sides of a square field are 12 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co

loris [4]

Area of the square is 144m.
Area of the circle is 113.1m.
Subtract A of circle from A of Square which equals 30.9meters. That is your answer.

If you want I can teach you step by step just comment if you want me to...

8 0

2 years ago

A shopkeeper has 2,625 markers. He would like to pack 25 markers in each box. How many boxes will he need?

Lerok [7]

Answer:

it's 105 boxes.

Step-by-step explanation:

hope this helps! and sorry for the person just trying to get points.

5 0

2 years ago

60000x3+4 pls help fast

Ilya [14]

First, you have to multiply 60000 by 3 and you will get 180000. Then you add 4 and your final answer is 180004

5 0

3 years ago