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yanalaym [24]
3 years ago
10

Solve for x. Round to the nearest hundredth

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=\frac{adj}{hyp}

Substituting the values, we get;

cos \ 45^{\circ}=\frac{6}{x}

Simplifying, we have;

x=\frac{6}{cos \ 45^{\circ}}

x=\frac{6}{0.766}

Dividing, we get;

x\approx7.83

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

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After a 75% reduction, you purchase a new DVD player on sale for $136. What was the original price of the DVD player
iogann1982 [59]

Answer:

$544

Step-by-step explanation:

To determine the original price of the DVD player considering that you know that it had a 75% reduction, you can use a rule of three as the price of $136 represents 25% of the original price and with this you can calculate the price that represents 100%:

$136 → 25%

  x    ← 100%

x=(136*100)/25=$544

According to this, the answer is that the original price of the DVD player was $544.

8 0
3 years ago
The base and height of the triangle to the right are multiplied by 4. Describe the change in the area.
Artemon [7]
Area would be 15 if base is 6m and height is 5m
So 6*4=24
5*4=20
Area would be 240 for the 2nd answer

240/15=16

The area is 16x bigger
5 0
3 years ago
Find the value of X or Y so that the line through the points has the given slope. (X, 0) and (4,1); slope: 1/5
Ronch [10]
Point slope formula:
(y₂ -y₁) = m(x₂ - x₁)
(1 - 0) = \frac{1}{5}(4 - X)
1 = \frac{4}{5} - \frac{1}{5} X
\frac{1}{5} =  -\frac{1}{5} X

-1 = X
8 0
2 years ago
Write and solve a problem involving money that can be solved with a multiplication equation
alexandr1967 [171]

Answer:


Step-by-step explanation:


4 0
3 years ago
Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large
serious [3.7K]

Answer:

17, 19, 21

Step-by-step explanation:

If we denote the smallest number as x, then the middle number will be x + 2 and the largest number will be x + 2 + 2.

The equation is:

x + (x + 2) = 3 * (x + 2 + 2) - 27

2x + 2 = 3x + 12 - 27

2x - 3x = 12 - 27 - 2

-x = -17

x = 17

The numbers are: 17, 19, 21

Let's check to be sure:

17 + 19 = 36

3 * 21 - 27 = 63 - 27 = 36

6 0
3 years ago
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