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mars1129 [50]
3 years ago
13

Megan bikes west to get from her apartment to school after school she bikes 8 miles north to her friends house how far is megans

apartment from her friends house, measured in a straight line

Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0
The complete question: <span>Megan bikes 6 miles west to get from her apartment to school. After school, she bikes 8 miles north to her friend's house. How far is Megan's apartment from her friend's house, measured in a straight line?

So,Megan's apartment, the school, and Megan's friend's house form a right triangle with legs 6 miles and 8 miles as you can see in the attached picture; the hypotenuse of the right triangle is the straight distance is from Megan's apartment to her friend's house. To find that distance we are going to use the Pythagorean theorem:
</span>h= \sqrt{(6mi)^2+(8mi)^2}
h= \sqrt{36mi^2+64mi^2}
h= \sqrt{100mi^2}
h=10mi
<span>
We can conclude that distance between Megan's apartment and her friend's house is 10 miles.</span>

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Answer:

1.  c. 628 cubic cm

2.  c. 502 cubic inches

Step-by-step explanation:

V=\pi r^{2} h\\

1.)  3.14 x 5^2 x 8

3.14 x 25 x 8 = 628

2.)  3.14 x ( 8/2 )^2 x 10

3.14 x 4^2 x 10

3.14 x 16 x 10 = 502.4

5 0
3 years ago
A special deck of cards has 5 red cards, and 4 purple cards. The red cards are numbered 1, 2, 3, 4, and 5. The purple cards are
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Answer:

a. 9

b. 4/9 or 0.444

Step-by-step explanation:

R=red card={R1,R2,R3,R4,R5}

E=even card={R2,R4,P2,P4}

n(R)=5

n(E)=4

a.

There 5 red and 4 purple card so, the sample space would be

Sample space=S={R1,R2,R3,R4,R5,P1,P2,P3,P4}

number of elements in sample space=n(S)=9

So, the number of elements in the sample space are 9.

b.

P(E)=n(E)/n(S)

P(E)=4/9 or 0.444

Thus, the probability of an even numbered card is 0.444.

4 0
3 years ago
Simplify the following expression: 35 + (–13) + (+8) – (–6).
Zina [86]
A. 36 is the correct answer
5 0
3 years ago
The cost of 6one by two metere
Alik [6]

Answer:

Rs 17 3/4

Step-by-step explanation:

Cost of 6 1/2 m = 115 3/8

Cost of 1 m = x

  • x = 115 3/8 ÷ 6 1/2
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  • x = 923/8 × 2/13
  • x = 923/(4*13)
  • x = 923/52
  • x = 17 39/52
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Cost of 1 meter is Rs 17 3/4

5 0
3 years ago
Jorge lives 1/3 mile from the playground and Lynne lives 2/3 miles from the playground. Who lives closer to the playground Jorge
SOVA2 [1]
Jorge lives closer to the playground than Lynne.
4 0
3 years ago
Read 2 more answers
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