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Pavel [41]
2 years ago
8

A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height o

f the water tower?
Mathematics
1 answer:
sveticcg [70]2 years ago
6 0

Answer:

28.5 feet

Step-by-step explanation:

A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height of the water tower?

The formula is given as:

Height of the tower/Shadow of the tower = Height of the tree/Shadow of the tree

Let the Height of the tower = x

Hence:

x/24 = 9.5/8

Cross Multiply

8x = 24 × 9.5

x = 24 × 9.5/8

x = 28.5 feet

Therefore, the height of the water tower is 28.5 feet

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3 years ago
HEEEEELP!!!!!!!!!!!!!11 I WILL MARK BRAINLIEST kx-3y=4 4x-5y=7 k is constant and x and y are variables, for what value of k will
Studentka2010 [4]

Answer:

<h2>               A.  ¹²/₅</h2>

Step-by-step explanation:

There is no solution for system of equations:  a_1x+b_1y=c_1\\a_2y+b_2y=c_2

if:     a_1=a_2\quad and\quad b_1=b_2\quad and\quad \bold{c_1\ne c_2}

so first, we we need to transform the equations to the form where the coefficients at y will be the same:

kx-3y=4\\ 4x-5y=7\\\\ (kx-3y)\cdot5=4\cdot5\\ (4x-5y)\cdot3=7\cdot3\\\\ 5kx-15y=20\\ 12x-15y=21

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7 0
3 years ago
Find the monthly payment for the loan. Finance $500,000 for an apartment complex with a 12.3% 10-year loan.
Marina86 [1]

Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

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  • r is the interest rate.
  • n is the number of payments.

In this problem, the parameters are given as follows:

P = 500000, r = 0.123, n = 12 x 10 = 120.

Hence:

r/12 = 0.123/12 = 0.01025.

Then, the monthly payments will be of:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

A = 500000\frac{0.01025(1+0.01025)^{120}}{(1+0.01025)^{120} - 1}

A = 7260.50.

More can be learned about the monthly payment formula at brainly.com/question/26267630

#SPJ1

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2 years ago
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