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Lubov Fominskaja [6]
3 years ago
13

A high speed elevator can rise 500 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevator

?
Mathematics
2 answers:
Nina [5.8K]3 years ago
4 0
The answer to your question is 1,000 feet per minute because if you multiply 30 by 2 you get 60 seconds which is one minute and so you do the same to the 500 feet and multiply it by 2 and you get 1,000 so it would be 1,000 feet per minute
shutvik [7]3 years ago
3 0
Actually, I think that its <span>500*2</span>
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Sav [38]

Since S is a point on the segment QR, then:

QS+SR=QR

Use the diagram and trigonometric relationships to find the value of QS and QR. Then, use the above equation to solve for SR.

In the right triangle PQS, the side QS is opposite to the angle of 32º, and the side PQ is adjacent to the angle of 32º. Then, use the tangent trigonometric function to relate PQ to QS:

\tan\left(32º\right)=\frac{QS}{PQ}

Isolate QS and replace PQ=14:

\begin{gathered} \Rightarrow QS=PQ\cdot\tan\mleft(32º\mright) \\ \operatorname{\Rightarrow}QS=14\tan\mleft(32º\mright) \end{gathered}

On the other hand, notice that the side QR in the right triangle PQR is opposite to the angle QPR, which has a measure of 32º+24º=56º.

Then, by a similar reasoning, we can use again the tangent function to find QR:

\begin{gathered} \tan\mleft(56º\mright)=\frac{QR}{PQ} \\ \Rightarrow QR=PQ\cdot\tan\mleft(56º\mright) \\ \Rightarrow QR=14\cdot\tan\mleft(56º\mright) \end{gathered}

We have found expressions for QS and QR in terms of trigonometric relationships. Then, we can find an expression for SR:

\begin{gathered} QS+SR=QR \\ \Rightarrow SR=QR-QS \end{gathered}

Replace the expressions for QR and QS:

SR=14\tan\mleft(56º\mright)-14\tan\mleft(32º\mright)

Use a calculator to find decimal expressions for tan(56º) and tan(32º). Then, find SR:

\begin{gathered} SR=14\times1.482560969...-14\times0.6248693519... \\ \Rightarrow SR=12.00768263... \end{gathered}

Therefore, to the nearest tenth, the length of the side SR (or RS, which is the same) is 12.0.

3 0
1 year ago
Jack Dossey wears socks of two colours yellow and orange. he has altogether 20 yellow socks and 20 Orange socks in his drawer. s
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Answer:

2

Step-by-step explanation:

I don't know why am I so bad at math???

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2 years ago
Mr. Roper has eight teams of students in his debate class. Their grades on the last debate assignment are denoted by the set (99
muminat

Answer:

l think 3rd option must be answer

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3 years ago
t Store 1 I can buy 36 oz of baby formula for $26.62, and at Store 2 I can buy 28 oz of baby formula for $22.42. Which one is a
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Answer: 36 oz

Step-by-step explanation:

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3 years ago
Salena, Justin, and Brandon were riding their bikes to the library after school. The library is 12 1/2 miles from school. Salena
faust18 [17]

Answer:

Salena's got to the library first

Step-by-step explanation:

12½ miles = 25/2 miles

2½ miles = 5/2 miles

5¾ miles = 23/4 miles

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Salena's time of arrival =

if 5/2 miles : 5 minutes

then 25/2 miles : ?

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Justin 's time of arrival=

if 23/4 miles : 12 minutes

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25/2 ÷ 23/4 ×12

25/2 × 4/23 ×12

26 minutes approximately

Brandon 's time of arrival=

if 114 miles : 258 minutes

25/2 miles : ?

25/2 ÷114 ×258

25/2 × 1/114×258

25 × 1/57 × 258

113 minutes approximately

3 0
3 years ago
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