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anyanavicka [17]
2 years ago
5

A map provided by an engineering firm has a scale of 1 inch to 2000 feet. If the distance from the starting point for a pipeline

to the ending point is 13 1/2 inches how long is the pipe line?
Mathematics
1 answer:
8090 [49]2 years ago
7 0

Answer:

27,000 feet

Step-by-step explanation:

Let x be the actual length of the pipeline, in feet.

Set up the following proportion:

\displaystyle\\\frac{1}{2,000}=\frac{13.5}{x}

Cross-multiplying yields x=13.5\cdot 2,000=\boxed{27,000\text{ ft}}

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What sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum​
Zina [86]

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

A=P\left(1+\dfrac{r}{100}\right)^t

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting A=8700,r=24,t=3, we get

8700=P\left(1+\dfrac{24}{100}\right)^{3}

8700=P\left(1+0.24\right)^{3}

8700=P\left(1.24\right)^{3}

8700=1.906624P

Divide both sides by 1.906624.

\dfrac{8700}{1.906624}=P

4563.0391729=P

P\approx 4563.04

Therefore, the principal value is about 4563.04.

8 0
3 years ago
Evaluate the following expression using the values given:
MrMuchimi
Replace each letter with it's value, so:
= (5*-2) + (-3*2) + 3
= -10 -6 +3
= -13
6 0
3 years ago
Read 2 more answers
You are flying a kite on a line that is 350 feet long. Let's suppose the line is perfectly straight (it never really is) and it
aliina [53]

Answer:

We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.

And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.

This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°

A = 90° - 65° = 25°

Then the altitude of the kite is the adjacent cathetus to this angle.

We can use the relation:

sin(A) = Adjacent cathetus/hypotenuse.

Sin(25°) = X/350ft

Sin(25°)*350ft = X = 147.9m

4 0
3 years ago
8 hundredths times 10
nexus9112 [7]
The correct answer is 0.8
5 0
3 years ago
Does anyone know the answer to this ??
xenn [34]

Answer:

The answer is C. 14.5 miles

4 0
2 years ago
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