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jolli1 [7]
4 years ago
9

Solve the following trigonometric question: cos x=3 cos x-2

Mathematics
1 answer:
bija089 [108]4 years ago
3 0

Answer:

x = 0°

Step-by-step explanation:

\cos x = 3 \cos x - 2 \\ 2 = 3 \cos x - \cos x \\ 2 =  2\cos x \\  \cos x =  \frac{2}{2}  \\ \cos x =1 \\ \cos x =\cos 0 \degree  \\  \huge \red{ \boxed{x = 0 \degree}} \\

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A rectangular swimming pool has a length of 50 m, a width of 25 m, and a depth of 1.75 meters. What is the volume of water neede
Ahat [919]

Answer:

2187.5 cubic meters of water

Step-by-step explanation:

Volume of rectangle = L * W * D

V = 50 * 25 * 1.75

V = 2187.5

5 0
3 years ago
Read 2 more answers
Find the value of x and y so that both proportions will be correct:
andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

<em><u>Explanation</u></em>

The given proportions are.....

x: 1\frac{2}{3}=y: 3\frac{1}{3} and y:1.5=0.2:0.75

From the second proportion, we will get....

y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4

Now, we will plug this y=0.4 into the first proportion. So we will get....

x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2

So, the values of x and y are 0.2 and 0.4 respectively.

6 0
3 years ago
Complete the steps to solve 1.02 ÷0.06
ki77a [65]

Answer:

your answer is 17 hope I helped

7 0
3 years ago
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Find the slope of a line parallel to a line that contains the points (8, -3) and (2, 5).
Illusion [34]

Answer:

-\frac{4}{3}(Your answer choices were really confusing, so I just put the plain answer)

Step-by-step explanation:

To find the slope of a line with just two points, we can use the formula \frac{y2-y1}{x2-x1}. In this case, \frac{5-(-3)}{2-8}. This is \frac{8}{-6}. This reduces to -\frac{4}{3}

8 0
2 years ago
help me (a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.
xxTIMURxx [149]

Answer:

$1400x  + $150

Step-by-step explanation:

Let the total cost of rent used for a month be $1400 plus a $150 application fee.

This means that;

Total cost (1 month) = $1400(1) + $150 = $1550

TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.

The cost of rent for x month = 1400x * $150

The cost of rent for x month = $1400x  + $150 (application fee are paid only once)

6 0
3 years ago
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