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lesya [120]
3 years ago
13

A building 56 ft high casts a 196-ft shadow. Sarah casts a 14-ft shadow. The triangle formed by the building and its shadow is s

imilar to the triangle formed by Sarah and her shadow. How tall is Sarah?
Mathematics
1 answer:
tatiyna3 years ago
6 0
We have 2 similar triangles here  so the corresponding sides are in the smae ratio.:-

So if  h is Sally's height we have

56 / h = 196 / 14

h = (56*14) / 196   =   4 feet
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Answer:

Step-by-step explanation:

5 dimes and 8 quarters :)

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3 years ago
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You and your mom enter a drawing with 3 different prizes. A total of 9 people entered the drawing, and prizes are awarded random
julsineya [31]

Answer:

\frac{1}{72}

Step-by-step explanation:

We have been given that there are total 9 people who entered the drawing competition. There are 3 prizes to be distributed to the winners. The total number of ways that 3 prizes can be awarded to the 9 people can be determined as 9*8*7 = 504.

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*7 = 7.

Therefore, the probability that I win the first prize and my mom wins the second prize would be: \frac{7}{504}=\frac{1}{72}

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3 years ago
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the ratio of peters money to henrys money is 4 : 3 there at first. after perter spent 12 dollars they had an equal amount of mon
MatroZZZ [7]

Using a system of equations, it is found that Peter had $48 at first.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Peter's money.
  • Variable y: Henry's money.

The ratio of peters money to henrys money is 4 : 3, hence:

\frac{x}{y} = \frac{4}{3}

After Peter spent $12, they had the same amount, hence:

y = x - 12.

Then, replacing in the ratio:

\frac{x}{y} = \frac{4}{3}

\frac{x}{x - 12} = \frac{4}{3}

4(x - 12) = 3x

x = 48.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
A number is increased by 30, and the
Novosadov [1.4K]

Answer:

The original number is 17.

Step-by-step explanation:

3(x+30)=141\\\\\frac{3(x+30)}{3}=\frac{141}{3}\\\\x+30=47\\\\x+30-30=47-30\\\\x=17

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3 years ago
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Help me please! BRAINLIEST
masya89 [10]

Answer:

1. 53 by 58 , 222 ft

2. 321000

3.1080

4.  3.5

Step-by-step explanation:

1. 23+15+15 = 53

28+15+15= 58

53+53+58+58= 222

6 0
3 years ago
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