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Tanya [424]
3 years ago
15

15 People fit comfortably in a 6 feet by 6 feet area. Use this value to estimate the size of a crowd that is 7 feet deep on both

sides of the street along a 2-mile section of a parade route.
Mathematics
1 answer:
dexar [7]3 years ago
7 0

Answer:

\boxed{\text{30 800 people}}

Step-by-step explanation:

1. Area of the crowd

The crowd fills a rectangle that is 2 mi long and 7 ft wide.

(a) Convert miles to feet.

\text{l} = \text{2 mi} \times \dfrac{\text{5280 ft}}{\text{1 mi}} = \text{10 560 ft}

(b) Calculate the area

A  = lw = 10 560 ft × 7 ft = 73 920 ft²

2. Size of crowd

15 people occupy an area of 6 ft × 6 ft = 36 ft²

\text{Size of crowd} = \text{73 920 ft}^{2}\times \dfrac{\text{15 people}}{\text{36 ft}^{2}} = \textbf{30 800 people}\\\text{The size of the crowd is $\boxed{\textbf{30 800 people}}$}

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zzz [600]

Answer:

5800 x 0.0135 = 78.3

78.3 x 3 =234.9

78.3/2 = 39.15

234.9 + 39.15 = 274.05

Your answer is 274.05

Step-by-step explanation:

Hope this helps!

4 0
3 years ago
Find the greatest common divisor of 9 and 27
Dimas [21]
<span>


The  good answer is 9
(9:9=1 and 27:9=3)</span>
3 0
3 years ago
Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true?
Liula [17]

Answer and Step-by-step explanation:

These are the statements that make the question complete:

A. If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B. If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C. If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D. If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.

Since the ladder leans against a wall, a right angle triangle is formed. Since the ladder is now slant, then it's length becomes the hypothenuse.

The correct statements can be gotten through Pythagoras theorem which says:

A² + B² = C² where C is the hypothenuse and A and B are the other two sides.

Since the hypothenuse is 50, we can test each statement by taking the square of the two sides and add them up, if they are equal to 50² = 2500, then the statement is true.

A. 24² + 45² = 576 + 2025 = 2601 ≠ 2500, therefore it is false.

B. 30² + 40² = 900 + 1600 = 2500, therefore it is true.

C. 27² + 44² = 729 + 1936 = 2665 ≠ 2500, therefore it is false

D. 14² + 48² = 196 + 2304 = 2500, therefore it is true.

From here, statements B and D are true while the rest are all false.

7 0
3 years ago
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
vichka [17]

Answer:

22

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

5x + 2 = 7x - 6

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

5x - 7x = - 2 - 6

-2x = -8

Divide both sides by -2

x = 4

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

8 0
3 years ago
Two towns that are 31.5km aprt are 3cm apart on a map what is the scale of the map
mel-nik [20]
3 cm on the map represents 31.5 km in reality.

3cm : 31.5 km

1cm :  31.5/3 km

1cm : 10.5km

So the scale on the map is 1cm represents 10.5 km.
8 0
3 years ago
Read 2 more answers
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