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GrogVix [38]
4 years ago
10

a tree casts a shadow 27meters long.a nearby by post that is 5 meters tall casts a shadow 3 meters long. how tall is the tree? (

hint: set up proportion to solve)​
Mathematics
2 answers:
ololo11 [35]4 years ago
8 0
5 x 27=135
3 x x= 135
135/3=45 = lenght of tree
coldgirl [10]4 years ago
8 0

Answer:

The tree is 45 meters high.

Step-by-step explanation:

Drawing this out will make it much easier.

In the figure, 3 is proportional to 27, and 5 is proportional to the missing side (x).

Insert the figures into an equation and solve:

3/5 *  27/x

Cross multiply:

3(x)= 27(5)

3x=135

135/3=x

x=45

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Solve the equation 1/5(x-2)=1/10(x+6)
Vladimir79 [104]
1/5(x-2)=1/10(x+6)
Distribute and multiply first
(1/5*x) -(1/5*2)=(1/10*x) +(1/10*6)
1/5x-2/5=1/10x+6/10

We do not have the same denominators on both sides. 5 goes into 10 two times so we will multiply everything on the left by 2 to get a common denominator.
2/10x-4/10=1/10x+6/10
Subtract 1/10x from both sides
1/10x-4/10=6/10
Add 4/10 to both sides
1/10x=10/10
1/10x= 1
Multiply both sides by 10/1 (the fraction inverse) to get rid of the fraction.

(10/1)(1/10x) =(1)(10/1)
x= 10

Check work:
1/5(x-2)=1/10(x+6)
Substitute your answer for x
1/5(10-2)=1/10(10+6)
1/5(8)=1/10(16)
8/5=16/10
Simplify 16/10 by dividing by 2
8/5=8/5


Hope this helps!! :)
5 0
3 years ago
Find the slope of the line.
rewona [7]

Answer:

5/6

Step-by-step explanation:

Remember your rise over run!

2.5/3 = 5/6

3 0
3 years ago
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What is the percent increase??? Let’s see who gets it right !
MaRussiya [10]

Answer:

90% increase

Step-by-step explanation:

38-20 To find the increase in the wolves.

Then, you have to divide by the original amount. You will get 0.9

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4 0
3 years ago
Use the Divergence Theorem to evaluate
igomit [66]

The value of the integral is \int\limits^{}_s {9x + 2y + z^2} \, dS = \frac{4}{3}\pi

<h3>How to evaluate the integral?</h3>

The expression is given as:

\int\limits^{}_s {9x + 2y + z^2} \, dS

x^2 + y^2 + z^2 = 1

Rewrite the integral as:

\int\limits^{}_s {9x + 2y + z*z} \, dS

As a general rule, we have:

\int\limits^{}_s {Px + Qy + R*z} \, dS

By comparison, we have:

P = 9

Q = 2

R = z

By the divergence theorem, we have:

F = Pi + Qj + Rk

So, we have:

F = 9i + 2j + zk

Differentiate

F' = 0 + 0 + 1

F' = 1

The volume of a sphere is:

V = \frac{4}{3}\pi r^3

Where:

r = F' = 1

So, we have:

V = \frac{4}{3}\pi (1)^3

Evaluate

V = \frac{4}{3}\pi

This means that:

\int\limits^{}_s {9x + 2y + z^2} \, dS = \frac{4}{3}\pi

Hence, the value of the integral is \int\limits^{}_s {9x + 2y + z^2} \, dS = \frac{4}{3}\pi

Read more about divergence theorem at:

brainly.com/question/17177764

#SPJ1

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2 years ago
What is Eight by the power of negative two
Dovator [93]
0.015625 I think that's the answer Hope this helps
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3 years ago
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