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Andre45 [30]
3 years ago
13

The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 fe

et long. What is the height of the tree?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

The height of the tree is 30 feet

Step-by-step explanation:

Let

h ----> the height of the tree

we know that

The tree casts a shadow that is 27 feet long

Your friend is 5 feet tall and casts a shadow that is 4.5 feet long

so

using proportion

Find out the height of the tree

\frac{h}{27}=\frac{5}{4.5}\\\\h=27(5)/4.5\\\\h=30\ ft

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Four more than the quotient of a number and 3 is 9
barxatty [35]

The algebraic expression of "Four more than the quotient of a number and 3 is 9" is \frac{x}{3}+4=9

The value of x=15

Step-by-step explanation:

We need to express "Four more than the quotient of a number and 3 is 9" as algebraic expression.

Let the number = x

Solving:

quotient of a number and 3: \frac{x}{3}

Four more than the quotient of a number and 3: \frac{x}{3}+4

Four more than the quotient of a number and 3 is 9: \frac{x}{3}+4=9

Now, finding value of x:

\frac{x}{3}+4=9\\Adding\,\,-4\,\,on\,\,both\,\,sides:\\\frac{x}{3}+4-4=9-4\\\frac{x}{3}=5\\Multiply\,\,both\,\,sides\,\,by\,\,3:\\x=5*3\\x=15

So, value of x = 15

Keywords: Algebraic expression

Learn more about algebraic expression at:

  • brainly.com/question/1600376
  • brainly.com/question/1617787
  • brainly.com/question/9720317

#learnwithBrainly

4 0
3 years ago
there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are there
pshichka [43]

I think that the answer to this is 40 girls  

24/3=8

8*5=40

hope this helps

3 0
3 years ago
Solve each system of equations by graphing y=2/3x+3 3y=2x+15
dangina [55]

Answer:

There is no solution to that equation.

Step-by-step explanation:

First thing to do is to put the second equation in terms of y. To do so the equation becomes y= 2/3x+5. Comparing those two equation you can see that the slopes are the same and thus means that the system has no solution.

Another way to see this is by graphing both of thee equations is a calculator and seeing there are no points of intersection.

7 0
3 years ago
The width of a rectangle is 12 less than twice the length, and the area of the rectangle is 270m2.
NikAS [45]

Answer:

5

Step-by-step explanation:


8 0
3 years ago
What is the value for y?
Ivenika [448]
This triangle has 60 degrees already. Remember that the sum of all triangles have to be 180.
Since we have two y's we can simplify it as 2y + 60 = 180.

We can now set this up as an algebraic equation.

2y + 60 = 180
Subtract 60 from both sides.
2y = 120
Divide both sides by 2
y = 60.

Y = 60, your answer is D.)

I hope this helps!
5 0
3 years ago
Read 2 more answers
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