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qwelly [4]
3 years ago
5

Sarah and Joshua are trying to estimate the height of a parking garage using a 50 yards-long rope. Joshua is in the floor while

Sarah stands on the top level of the garage. Each holds an end of the rope. Joshua walks away until the rope is completely tense, making a 30° angle with the floor and 60° with the garage wall. Joshua says the height can be calculated using the function sin (30) and determines the height is 25 yards. Sarah says the correct expression to be used is cos (60) and her calculation is that the height is 25 yards. Which one is correct?​

Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

Both are correct, the height can be calculated using either expression if angles are complementary.

Step-by-step explanation:

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A slow burning candle will burn 1.5 inches in 40 min how many inches will the candle burn in 4 hours
Semenov [28]
9 inches

4 hours = 240 minutes
240/40 = 6
1.5 * 6 = 9
8 0
3 years ago
-2(bx - 5) = 16<br><br> What’s does b and x equal?
horrorfan [7]
To solve this problem you must apply the proccedure shown below:
 You have the following equation given in the problem above:
 <span>-2(bx - 5) = 16
</span> When you solve for bx, you have:
 <span>-2(bx - 5) = 16
 -2bx-10=16
 -2bx=26
 bx=26/-2
 bx=-13

 When you solve for b, you obtain:
 </span><span>-2(bx - 5) = 16
 -2bx=26
 b=-(26/2x)

 When yoo solve for x:
 </span>2bx=26
 x=-(26/2b)<span>

 </span>
3 0
3 years ago
What isk+5=4k-3k+8​
Reil [10]

Answer:

The answer is no solution

Step-by-step explanation:

k+5 = 4k-3k+8

k+5 = 1k +8

1k + 5 = 1k + 8

-1k        -1k

---------------------

5=8

5=8 is no a true statement

6 0
3 years ago
Jack can run a mile in 9, 1/3 minutes. How long will it take for him to run 3, 1/2 miles?
BARSIC [14]
If you turn 9 1/3 in to a decimal and 3 1/2 in a decimal also 

9 1/3 = 9.3 and 3 1/2 =3.5 
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8 0
4 years ago
Tamara invests $8000 in two different accounts. The first account has a simple interest rate of 3% and the second account has a
Paraphin [41]

Answer:

  • $3200 at 3%
  • $4800 at 2%

Step-by-step explanation:

Interest earned is proportional to the interest rate, so if the interest earned is the same, the amounts invested must be inversely proportional to the interest rates. That is, for the 3% and 2% accounts, the ratio of money invested is 2:3.

In other words, 2/5 of the money ($3200) was invested at 3%, and 3/5 of the money ($4800) was invested at 2%.

_____

If you need an equation, you can let x represent the amount invested at the highest rate. Then 8000-x is the amount invested at the lower rate. For the interest in the two accounts to be equal, we have ...

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  3/2·x = 8000 -x . . . . . . . . divide by 2%

  5/2·x = 8000 . . . . . . . . . . . add x and simplify

  x = 8000·(2/5) = 3200  . . . multiply by the inverse of the x coefficient

  8000-x = 8000 -3200 = 4800 . . . . the amount invested at the lower rate

Tamara invested $3200 in the 3% account and $4800 in the 2% account.

_____

She earned $96 in each account for the year.

8 0
3 years ago
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