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serious [3.7K]
3 years ago
13

What are the answers to these. Please Help.

Mathematics
2 answers:
Ugo [173]3 years ago
8 0

Answer:

the answer for number 4 is c

solniwko [45]3 years ago
8 0

Answer:

number four is C

Step-by-step explanation:

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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
The red team scored 4 goals. The blue team scored 3 times as many goals.How many goals did the blue team score?
Vinvika [58]
3×4=12 more than the red team
3 0
3 years ago
Read 2 more answers
Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs
Agata [3.3K]

Answer:

25 Months

Step-by-step explanation:

Let's make the equations first,

Plan A: 70x   Plan B: 50x+500...

Now we make it into an equivalent equation:

70x=50x+500...

Then we solve:

70x=50x+500-50x -50x20x=500...

÷20 ÷20x=25...

To check if it's correct, we just plug it in:

70(25)=50(25)+500...

1750=1750...

Brainliest Answer please? Hope this helps! Good luck!

8 0
3 years ago
Which is a logical conclusion based on the information given in the figures
Dmitry_Shevchenko [17]
Selection C is the appropriate choice.
3 0
3 years ago
SOMEONE MAKE A ENDING PARAGRAPH about someone rescuing me QUICK 40 POINTS!!!!
scZoUnD [109]

Answer:

Although, my life can't end here, life has so much more to offer me. I collected the last of my strength to swim up to to surface where I can be released from the horrors of the deep waters. I swallowed gulps of the chlorine water and my eyes ached from being open for to long. I wrestled the clenching fists of the water that urged me to stay with them. I swam, and swam, swam, until I reached my hands out for help, and that's when I knew I made it. I could feel hands from above grasping me and helping me climb out of the bitter cold pool. I ran into my mother's arms, as a gush of relief spread through my body. The relief of staying in my mothers arm, that helped me forget the isolated pits of the dark waters.

Sorry if it's not that good! I'm not the best writer, and you don't have to use this ending paragraph if you don't want to!!

4 0
3 years ago
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