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3 years ago

In the figure below, triangle RPQ is similar to triangle RTS.

Mathematics

2 answers:

kumpel [21]3 years ago

8 0

Answer:

The distance between P and Q is 54

Step-by-step explanation:

We are given that triangle RPQ is similar to triangle RTS.

Property of similar triangle: The ratio of any pair of corresponding sides is the same.

So, by property : $\frac{RP}{RT}=\frac{PQ}{ST}$

PR=42

PQ=x

ST=36

RT=28

So, $\frac{42}{28}=\frac{x}{36}$

$\frac{42 \times 36}{28}=x$

54=x

Hence the distance between P and Q is 54

Colt1911 [192]3 years ago

3 0

Answer:

Step-by-step explanation:

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Serjik [45]

Answer

925 students brought their lunch.

Explanation

First let's rewrite the equation.

You know that "of" means multiply and "is" means equal.

Okay, so let's break it down.

The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."

This means that 74% of 1250 students brought their lunch at the cafeteria.

You are trying to find how many students brought their lunch. This will be x.

So the equation would be this.

74% × 1250 = x

74% is 0.74.

0.74 × 1250 = x

0.74 × 1250 = 925

So 925 students brought their lunch.

6 0

3 years ago

Fernando had 2 children. Each of their children had 2 children, and each of these

rjkz [21]

Answer:

Step-by-step explanation:

Fernando-

Child 1- Child 2-

2 kids- 2 kids- = 4 grandchildren for Fernando

2 kids 2 kids These are his great grandchildren, not grandchildren.

7 0

3 years ago

John ran 6 2/3 miles last week he ran 1 1/3 miles each day how many days did he run

Murljashka [212]

$6\frac{2}{3} = \frac{3(6) + 2}{3} = \frac{20}{3} miles$

$1\frac{1}{3} = \frac{3(1) + 1}{3} = \frac{4}{3} miles/day$

$\frac{20}{3} miles$ ÷ $\frac{4}{3} miles/day$

= $\frac{20(miles)}{3}$ * $\frac{3(days)}{4 (miles)}$

= $\frac{20(3) days}{3(4)} = \frac{20 days}{4} = 5 days$

Answer: 5 days

4 0

3 years ago

7-41= (-15)+33= 62-84= (-26)-14=

Gala2k [10]

Answer:

-34

-22

-40

Explanation:

8 0

3 years ago

What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth

vichka [17]

Answer:

Volume of a cone $=942.86cm^3$

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone $=\frac{\pi r^2h}{3}$ cubic units

Now substitute the values in the formula we get

volume of a cone $=\frac{(\frac{22}{7}) (15)^2(4)}{3}$

$=\frac{(\frac{22}{7}) (225)(4)}{3}$

$=\frac{19800}{21}$

$=942.857$

Now round to nearest hundredth

$=942.86$

Therefore Volume of a cone $=942.86cm^3$

6 0

3 years ago