please help!! solve ΔPQR Your answer should include the length of r and the measures of angle P and angle Q.


Include all relevant calculations, and use the correct units for all measures. Be sure explanations are written in complete sentences.

Please Help!! Solve PQR Your Answer Should Include The Length Of R And The Measures Of Angle P And Angle

Answers

Answer 1

9514 1404 393

Answer:

r ≈ 15.90 mP ≈ 63.27°Q ≈ 26.73°

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

__

The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

Please Help!! Solve PQR Your Answer Should Include The Length Of R And The Measures Of Angle P And Angle

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1) Deb owns a cake shop and she is working on two wedding cakes this week. The first cake
consists of 5 small tiers and 3 medium tiers, which will serve a total of 252 guests. The
second one includes 1 small tier and 3 medium tiers, which is enough servings for 168
guests. How many guests does each size of tier serve?

A small tier will serve
guests and a large tier will serve guests.

Answers

Answer: Hope this helps

Step-by-step explanation:

Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.

The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.

The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.

The system of equations is then { 3s+m=100 3s+2m=140  

{

3s+m=100

3s+2m=140

Part B:

The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:

3s+2m amp;= amp;140 −(3s+m amp;= amp;100)       m amp;= amp;40

3s+2m

−(3s+m

m

 

amp;=

amp;=

amp;=

 

amp;140

amp;100)

amp;40

Substitute m=40m=40 into either equation and solve for ss:

3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20

3s+m

3s+40

3s

s

 

amp;=100

amp;=100

amp;=60

amp;=20

The solution of the system is then (s,m)=(20,40)

(s,m)=(20,40)

.

Part C:

Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.

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A. 1.015
B. 1.02
C. 1.04
D. 1.06
E. 0.94

Answers

It’s probably A 1.015 or 1.02

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Answers

Answer:

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Step-by-step explanation:

A, B, C and D form the vertices of a parallelogram.
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Find the area of the parallelogram. Round to 1 DP.

Answers

Answer:

Area = 162.70 square centimetre.

Step-by-step explanation:

From the given question,

AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°

The area of the parallelogram can be determined by;

Area = AD x AB x Sin <BAD

        = 11.1 x 15.5 x Sin 71°

        = 172.05 x 0.94552

Area = 162.67672

        = 162.70 [tex]cm^{2}[/tex]

Therefore, the area of the given parallelogram is 162.70 square centimetre.

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Answers

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. [tex]dy[/tex] with the [tex]y[/tex] term and [tex]dx[/tex] with the [tex]x[/tex] term).

[tex]\frac{dy}{dx}=\frac{x-1}{3y^2}[/tex]

[tex]3y^2dy=x-1dx[/tex]

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

[tex]y^3=\frac{1}{2}x^2-x+C[/tex]

Then here, we just solve for [tex]y[/tex] and we have our general solution.

[tex]y=\sqrt[3]{\frac{1}{2}x^2-x+C}[/tex]

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

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Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real number. ​

Answers

Answer:

Hi how are you doing today Jasmine

If one cookie costs $0.30, how much would 36 cookies cost?
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O C. $10.80
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Answers

Answer:

C.

Step-by-step explanation:

All you have to do is multiply the cookie cost by the cookies and that gives you your answer.

0.30 * 36 = 10.80

The cost of 36 cookies is $10.80

1 cookie= $0.30

36 cookies= x

Cross multiply

1x= 0.30 × 36

1x= 10.8

x= 10.8

Hence the price of 36 cookies is $10.80

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

To solve this question you need the formula of hypothenuse theorem, I personally use [tex]a^{2} + b^{2} = c^{2}[/tex].

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А
k2 - 36
1
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Answers

Answer:

A = 6k(k + 6)

Step-by-step explanation:

We have to solve the given equation for the value of A,

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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How much principal did she borrow?

Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer: 84%

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Step-by-step explanation:

‎‎‎‎‎‎‎‎‎‎‎‎        

Answer:

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Step-by-step explanation:

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