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ycow [4]
2 years ago
12

Solve for x. please explain in detail

Mathematics
1 answer:
Sholpan [36]2 years ago
6 0

Use the cosine formula

Cos(angle) = adjacent/ hypotenuse


cos(30) = x/8

Cos(30) can be written as sqrt(3)/2

Now you have :

sqrt(3)/2 = x/8

Multiply both sides by 8:

X = sqrt(3)/2 x 8

Simplify:

X = 4sqrt(3)

You might be interested in
There are 15 candidates for 4 job positions.
Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

<em></em>

Method 2:

This can be solved using permutation method which goes thus;

nPr = \frac{n!}{(n-r)!}

Where n = 15 and r = 4

So;

nPr = \frac{n!}{(n-r)!} becomes

15P4 = \frac{15!}{(15-4)!}

15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

15P4 = 15*14*13*12

15C4 = 32760

<em>Hence, there are 32760 ways</em>

8 0
4 years ago
Please help me with this question
Alenkasestr [34]

Answer:

\sqrt{8 + y}

3 0
3 years ago
Eleven oz of ground coffee is 2 cups. How many cups is 12 oz?​
SVETLANKA909090 [29]

Answer:

66 oz

Step-by-step explanation:

Every 2 cups have 11 ounces of ground coffee. Two times six is 12, so 11 times 6 is 66.

Another explanation is-

2/12 = 11/x

12 times 11 is 132. Then divide that by two to get 66

4 0
3 years ago
Find the perimeter. Explain what you added together to get your answer. You can get partial credit for explaining steps, even if
sertanlavr [38]

Answer:

the area of the shape is 7.14

Step-by-step explanation:

First, find the area of the square:

2 in x 2 in = 4 in

then to find the area of the semi- circles add them together to make a circle

To find the area of the circle, use:

pi x radius^2  

Since the diameter is 2 divide the diameter by 2 to get radius  

3.14 x 1^2 = 3.14

The circle is 3.14 plus 4 ( the square ) = 7.14

5 0
3 years ago
I NEED HELP ASAP!!<br><br> 4(5)(-2)=?
vova2212 [387]
So, in an easier way to say it
4 × 5 × -2

You would start by doing 
4 × 5 = 20
Then,
 20 × -2 = 40 

So your answer is -40

Hope I helped ♥
5 0
4 years ago
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