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3 years ago

Oposite of 35 feet below sea level?

Mathematics

1 answer:

vazorg [7]3 years ago

6 0

Answer:

35 feet above sea level

Step-by-step explanation:

The opposite of down is up

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Problem 8) In the diagram, RQ ⊥ PQ, m∠QPS = 32°, m∠RPS = 24°, and PQ = 14.Find RS to the nearest tenth of a unit. Image is provi

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

A 3 foot wide brick sidewalk is laid around a rectangular swimming pool. The outside edge of the sidewalk measures 30 feet by 40

ipn [44]

Answer with Step-by-step explanation:

A 3 foot wide brick sidewalk is laid around a rectangular swimming pool.

The outside edge of the sidewalk measures 30 feet by 40 feet.

Length of swimming pool=(30-3-3) feet

=24 feet

Breath of swimming pool=(40-3-3) feet

= 34 feet

Perimeter of swimming pool=2(24+34) feet

(since perimeter of rectangle=2(l+b) where l is the length and b is the breath of the rectangle)

Perimeter of swimming pool=116 feet

Hence, Perimeter of swimming pool is:

116 feet

7 0

4 years ago

Ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate

shusha [124]

Answer:

he would walk 1 mile in 2 hours

Step-by-step explanation:

which is very slow tbh

7 0

3 years ago

Solve for x: 2 over 3 (x − 4) = 2x.

Lady bird [3.3K]

Answer:

X would equal -2. I hope this helps!

3 0

3 years ago

1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)

Arada [10]

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

= ( 5-2)/(1 - -3)

= (5-2)/(1+3)

= 3/4

7 0

3 years ago