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Virty [35]
3 years ago
5

One kilometer is approximately 31/50 mile. what decimal represents this length?

Mathematics
1 answer:
ollegr [7]3 years ago
7 0
0.62

31X2=62
50X2=100
62 divided by 100 is 0.62

Hope that helps! :)
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RectangleABCD has vertices at A(– 3, 1),B(– 2, – 1),C(2, 1), andD(1, 3). What is the area, in square units, of this rectangle? A
Anna [14]

Answer:

Option A. 10\ units^{2}

Step-by-step explanation:

we know that

The area of the rectangle is equal to

A=LW

where

L is the length of rectangle

W is the width of rectangle

we have

A(-3,1),B(-2,-1),C(2,1),D(1,3)

Plot the vertices

see the attached figure

L=AD=BC

W=AB=DC

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

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

<em>Find the distance AD</em>

A(-3,1),D(1,3)

substitute in the formula

AD=\sqrt{(3-1)^{2}+(1+3)^{2}}

AD=\sqrt{(2)^{2}+(4)^{2}}

AD=\sqrt{20}

AD=2\sqrt{5}\ units

<em>Find the distance AB</em>

A(-3,1),B(-2,-1)

substitute in the formula

AB=\sqrt{(-1-1)^{2}+(-2+3)^{2}}

AB=\sqrt{(-2)^{2}+(1)^{2}}

AB=\sqrt{5}

AB=\sqrt{5}\ units

Find the area

A=(2\sqrt{5})*(\sqrt{5})=10\ units^{2}

4 0
3 years ago
Hong has been given a list of 6 bands and asked to place a vote. his vote must have the names of his favorite and second favorit
mixas84 [53]
This requires us to find the number of permutations of 6 different bands taken 2 at a time:
6P2=\frac{6!}{(6-2)!}=30\ different\ votes.
7 0
3 years ago
A scale drawing of an American flag is 10 inches and 6 inches tall the actual flag is 3 feet tall. What is the area of the actua
Natali [406]
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6 0
3 years ago
Jim went to the playground. He played on the swings for 45 minutes and went on the slide for 55 minutes. It was 4:35 P.M. when J
aleksklad [387]

Answer:

2:55 P.M.

Step-by-step explanation:

First, add the amount of time Jim played outside; 45+55=100

100 minutes is equal to 1 hour 40 minutes.

If he left the playground at 4:35 P.M., then you have to subtract in order to find out when he arrived there.

Subtract 1 hour 40 minutes from 4:35 P.M. to then get 2:55 P.M.

To confirm your answer, you can add back the 1 hour and 40 minutes to 2:55 P.M. and you'll get 4:35 P.M.; back with what you started with.

Hope this helped !!!

4 0
3 years ago
PLEASE HELP ASAP !!!!!
WINSTONCH [101]

Answer:

D

Step-by-step explanation:

11 per 1,000

8 0
3 years ago
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