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Likurg_2 [28]
3 years ago
10

Maria's house is due south of Boise and due east of marching. Mamas house is 12 miles from Boise and 20 miles are marching. How

far apart are Boise in marching as the crow flies? Round your answer to the nearest 10th
Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

23.32 Miles

Step-by-step explanation:

According to the Question,

  • Given, Maria's house is due south of Boise and due east of marching & Maria's house is 12 miles from Boise and 20 miles From marching .

(For Diagram Please Find in Attachment)

In Triangle ABC , Apply Pythagoras Theorem, We get

AC²=AB² + BC²

AC² = 12² + 20²

AC² = 544 ⇒ √544 ⇔ 23.32 miles

You might be interested in
one number is 4 more than another number. if 4 times the smaller number is decreased by twice the larger number. the result is 1
soldier1979 [14.2K]

x and x+4 are the numbers

3x=2(x+4)

3x=2x+8

3x-2x=8

x=8

x+4=12


3 0
2 years ago
Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving
Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

A=P(1+r)^t

where

A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5

Substituting the available values into the formula and solving

A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63

The interest Molly will earn after 5 years is

A-P=\$127.63-\$100=\$27.63

Therefore, the amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

Learn more about compound interest here: brainly.com/question/21270833

8 0
2 years ago
Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same ro
nydimaria [60]
The key is Esther travelled the same distance - x - in both her morning and evening commute.

45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x

Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.

Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.

Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.

45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.

<span>Hope that makes a little sense. And I also hope it's right</span>
7 0
3 years ago
Read 2 more answers
Alina and Asim share Rs 210 in the ratio 2:5. How much money did each of them get?
slavikrds [6]

Answer:

Step-by-step explanation:

Alina=2x---eq(1)

Asim=5x----eq---(2)

So,we get

2x+5x=210

7x=210

x=30

Now,Putting '30' in eq 1 and eq 2

2*30=60

5*30=150

Therefore Alina got 60 Rs while Asim got 150 Rs

5 0
3 years ago
A car can average 140 miles on 5 gallons of gasoline. Write any equation for the distance d in miles the car can travel on g gal
ser-zykov [4K]

d=28g I might be wrong, but we can find this by dividing 140 by five, which equals 28.

7 0
2 years ago
Read 2 more answers
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