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dsp73
3 years ago
5

Simplify the radical expression. Please explain how you got your answer. √50/9

Mathematics
1 answer:
Sauron [17]3 years ago
7 0
Rewrite the promblem as the square root of √25*2/9 since 25 is a perfect square take the square of it from the radical which gives u 5 leaving you with 5√2/9 simplified
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An airplane with an air speed of 165 mph is headed 210°. If the plane encounters a 15 mph wind from the west, find the ground sp
mestny [16]
Since a calculator is involved in finding the answer, it makes sense to me to use a calculator capable of adding vectors.

The airplane's ground speed is 158 mph, and its heading is 205.3°.

_____
A diagram can be helpful. You have enough information to determine two sides of a triangle and the angle between them. This makes using the Law of Cosines feasible for determining the resultant (r) of adding the two vectors.
.. r^2 = 165^2 +15^2 -2*165*15*cos(60°) = 24975
.. r = √24975 ≈ 158.03
Then the angle β between the plane's heading and its actual direction can be found from the Law of Sines
.. β = arcsin(15/158.03*sin(60°)) = 4.7°
Thus the actual direction of the airplane is 210° -4.7° = 205.3°.

The ground speed and course of the plane are 158 mph @ 205.3°.

4 0
3 years ago
Value of this problem?
Rudik [331]
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5 0
2 years ago
How much would $200 invested at 5% interest compounded monthly be worth after 9years? Round your answer to the nearest cent
Feliz [49]

Answer:

$311.20

Step-by-step explanation:

Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year

The formula is given as

A=P(1+\frac{r}{n})^{tn}

Where ,

A is the final amount

P is the initial amount = $200

r is the rate of interest = 5% annual = 0.05

n is the frequency of compounding in a year ( Here it is compounding monthly) = 12

t is the time period = 9

Now we substitute all these values in the formula and solve for A

A=200(1+\frac{0.05}{12})^{9\times 12}

A=200(1+0.00416)^{108}

A=200(1.00416)^{108}

A=200 \times 1.556

A=311.20

Hence the amount after 9 years will be $311.20

4 0
3 years ago
How do you compare and order fractions?
AveGali [126]

Answer:

Give each a common denominator

Step-by-step explanation:

So let’s say you have 1/2 and 2/4 how would you know which is bigger well we know both 2 and 4 go into 4 so 1/2 x2 = 2/4 so these 2 are equal

4 0
2 years ago
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S_A_V [24]

Answer:

8

Step-by-step explanation:

45 divided by 5 is 9 and what you do on the to you do on the bottom which means you would do 40 divided by 5 which you would get 8 as your answer.

7 0
2 years ago
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