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kompoz [17]
3 years ago
6

from the top of a cliff 20m high,a boat can be sighted at sea 75m from the foot of the cliff.calculate the angle of depression o

f the boat from the top of the cliff ​
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

The angle of depression will be= 14.9 degrees

Step-by-step explanation:

tanx=20/75=0.267  

x=tan−10.267=14.93°

x= 14.9°

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The perimeter of a rectangle is 96 yards and the length is 14 yards more than the width what are the dimensions of the rectangle
____ [38]

Answer:

17 yards and 31 yards.

Step-by-step explanation:

Since length is 14 more than width, lets call width: w and length: w+14

So perimeter is 96 so: 2w+2(w+14)=96

2w+2w+28=96 so 4w+28=96

4w=68 and finally w=17

So 17 yards and 31 yards.

6 0
1 year ago
What is the total number of atoms in the the compound? <br><br> A. 5<br> B. 6<br> C. 7<br> D. 8
JulijaS [17]

Answer:

8

Step-by-step explanation:

what is the total number of atoms in the compound click here

7 0
3 years ago
Phineas puts $800 into a certificate of deposit that earns 3.39%. If the money is compounded monthly, how much will it be worth
arlik [135]

It will be worth $885.51 in 3 years

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ Phineas puts $800 into a certificate of deposit

∴ P = 800

∵  The rate of deposit is 3.39%

∴ r = 3.39% = 3.39 ÷ 100 = 0.0339

∵ The money is compounded monthly

∴ n = 12

∵ t = 3

- Substitute these values in the formula above

∴ A=800(1+\frac{0.0339}{12})^{12(3)}

∴ A=800(1.002825)^{36}

∴ A = 885.51407

- Round it to the nearest cent ⇒ hundredths place

∴ A = 885.51

It will be worth $885.51 in 3 years

Learn more:

You can learn more about the interest in brainly.com/question/3614284

#LearnwithBrainly

8 0
3 years ago
The state fair charges $14 for
Scrat [10]

Answer:

s=6r+14

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

s=mr+b

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

The slope is equal to

m=\$6\ per\ ride

The y-intercept is equal to

b=\$14

so

substitute the given values

s=6r+14

5 0
3 years ago
Please answer now!! (Math)
OleMash [197]

Answer:

2nd option

Step-by-step explanation:

Simplify first what is in the parenthesis before distributing the exponent outside would help.

Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.

Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.

Look at the attached picture for the solution

5 0
3 years ago
Read 2 more answers
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