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VashaNatasha [74]
3 years ago
6

If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0
We will have to use proportions:
\frac{42.9}{253.1}  =  \frac{6.2}{x}
Cross multiplying we get
42.9x = 6.2 \times 253.1
Now divide:
x =  \frac{6.2 \times 253.1}{42.9}
Solve to tenths place we get
x = 36.6
The woman casts a 36.6 ft long shadow.
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Determine the circumference of a circle with a radius of 4 units.
Zarrin [17]
Your answer is choice A.
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Marcello sells coupon books to his neighbors. 4 neighbors each buy 2 coupon books. There are 8 coupons in each book. What is the
docker41 [41]

Answer:

64

Step-by-step explanation:

Marcello sells coupon books to his neighbors

4 neighbors each buy 2 coupon books

Each book have 8 coupons

Therefore the total number of coupons that all neighbors will get can be calculated as follows

Each neighbor will get 16 coupon

Hence the whole neighbors will get

16×4

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2 years ago
Evaluate C(44,21) use scientific notation, round to 3 decimal places as needed.
STALIN [3.7K]
C(44,21)=\dfrac{44!}{21!23!}=\dfrac{24\cdot25\cdot\ldots\cdot43\cdot44}{2\cdot3\cdot\ldots\cdot 20\cdot21}=2,012,616,400,080\\
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6 0
3 years ago
The ratio of games won at to the games lost for a basketball team is 3:2. The team won 18 games. How many games did the team los
schepotkina [342]

A ratio of 3:2.

The easiest way to go about this is to divide the actual number of wins (18) by its corresponding element in the ratio.

So:

\frac{18}{3}= 6

This means every element on the ratio has a value of 6.

The amount of element in the ratio that correspond to losses is 2.

Multiply the actual amount of matches per element in the ratio by the number of elements that represents the losses in the ratio.

6*2=12

Your answer:

<em>"The team lost 12 games."</em>

7 0
3 years ago
1.) Which domain restrictions apply to the rational expression? 14x-2x / x^2-7x
mezya [45]

Answer:

3. \displaystyle 1\frac{1}{3} = x

2<em>C.</em> \displaystyle III.

2<em>B.</em> \displaystyle I.

2<em>A.</em> \displaystyle II.

1. \displaystyle Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

Step-by-step explanation:

3. <em>See</em><em> </em><em>above</em>.

2<em>C</em>. The keyword is ratio, which signifies division, so you would choose "III.".

2<em>B</em>. The keyword is percent, which signifies multiplication of a ratio by 100, so you would choose "I.".

2<em>A</em>. The keyword is total, which signifies addition, so you would choose "II.".

1. Base this off of the denominator. Knowing that the denominator CANNOT be zero, you will get this:

\displaystyle x^2 - 7x \\ x[x - 7] = 0; 7, 0 = x \\ \\ Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

I am joyous to assist you anytime.

5 0
3 years ago
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