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Marina86 [1]
3 years ago
9

Find the value of x, given cos 0 = 0.4 PLEASE HELP!!!!!! And explain if possible

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

x=30

Step-by-step explanation:

For each right-angled triangle:

\cos\theta=\frac{cathetus \ adjacent \ \theta}{hypotenuse}

Because \cos \theta=0.4, \ \ cathetus\ adjacent \ \theta \ = \ 12, \ \ \ hypotenuse=x

we have an equation

0.4=\frac{12}x

multiplying both sides by x, we get 0.4x=12

dividing both sides by 0.4 and x=\frac{12}{0.4}

using calculator, we divide 12 by 0.4

and finally x=30


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Solve for x check your solution
abruzzese [7]
Area for a triangle is (1/2) bh or bh/2
So using this info, b = 1.5 m and h = x and A = 1.5 m^2

A = bh/2
1.5 = 1.5x/2
Multiply both sides by 2 to get rid of fraction ... 3 = 1.5x
Divide both sides by 1.5 ... 2 = x so x= 1.5 m
8 0
3 years ago
Market researchers were interested in the relationship between the price of bobbleheads and the demand of
damaskus [11]

Answer:

for each increase in prices by $1, the predicted demand decreases by 0.227 units.

Step-by-step explanation:

4 0
2 years ago
1. Sarah's current account balance is $2,600. She made a single lump sum amount of
ziro4ka [17]

Answer:

The simple interest that said investment yielded was 3.75% per year.

Step-by-step explanation:

Given that Sarah's current account balance is $ 2,600, and she made a single lump sum amount of $ 2,000 eight years ago into the account, to calculate the equivalent simple interest rate (quoted annually) that she earned the following calculation must be performed:

(2,600 - 2,000) / 8 = X

600/8 = X

75 = X

2,000 = 100

75 = X

75 x 100 / 2,000 = X

7,500 / 2,000 = X

3.75 = X

Thus, the simple interest that said investment yielded was 3.75% per year.

7 0
3 years ago
Samantha deposit 300 in an account that earns an annual interest rate of 2.5 after nine months she computes the simple interest.
antiseptic1488 [7]

Answer:

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

Step-by-step explanation:

Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.

Now, Samantha after nine months of deposit computes the simple interest.

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)

4 0
3 years ago
A new car is purchased for $49,000 and over time its value depreciates by one half every 5 years. What is the value of the car 2
vovikov84 [41]

Principal: $49,000

Depreciation Rate: 50%

Depreciation Time: 5 years

Exponential Function: y = 49,000 (0.50)^x

Plug it in: y = 49,000 (0.50)^4

0.5^4= 0.0625

0.0625 x 49,000 = 3062.5

Value of Car after 20 years: 3062.5

Now, we need to find out how much the car decreases in ONE year.

Half of 3062.5 = 1531.25

1531.25/5 = 306.25

3062.5 - 306.25 = 2756.25

Value of car after 21 years: $2756 ---> 2800 (nearest hundred dollars my bad)

Hope this helps! Have a great day!

4 0
3 years ago
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