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tatiyna
3 years ago
7

Select all the following that could

Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

A ; C ; D

Step-by-step explanation:

Volume of a rectangular prism:

V = l x w x h

1) 5 x 4 x 3 = 60 (ok)

2) 25 x 20 x 15. The result is > 60

3) 5 x 2 x 6 = 60 (ok)

4) 4 x 1 x 15 = 60 (ok)

5) 5 x 8 x 2 = 80

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I believe it's 3.4×10^8
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Part B
Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is 4.6\ miles

Part B) The length of a straight line between the school and the hospital is 2.1\ miles

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,0) and C(4.3,1.7)

substitute

d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}

d=\sqrt{(1.7)^{2}+(4.3)^{2}}

d=4.6\ miles

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,0) and D(1.2,1.7)

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d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}

d=\sqrt{(1.7)^{2}+(1.2)^{2}}

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3 years ago
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3 years ago
36.8% of what number is 28.52?
laila [671]
To solve this problem we can use the rule of 3 and solve for x. Let's equate it as the following:

28.52/x=36.8/100

Why did I represent it like that?
In the first numerator we have the known quantity (28.52). In the second numerator we'll need the percentage that 28.52 represents (because the second fraction will represent percents). This will be 36.8%
The first denominator is x (the number we want to figure out). That number represents 100%. Hence the 100 as the second denominator.

To solve for x we need to do the following:
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x=2852/36.8
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Answer: 28.52 is 36.8% of 77.5

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Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 p
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