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

Related Questions

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5. Write 21/25 as a percent * O 84% O 80% o 21% 25%​

Answers

Answer:

84%

Step-by-step explanation:

21/25 = 84/100 = 0.84 = 84%

Answer: 84%

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Answer:

No x^3 times x^5 is not equal to x^15. It is equal to x^8

Step-by-step explanation:

x3x5

=x3*x5

=(x*x*x)*(x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

Answer:

See explanation

Step-by-step explanation:

[tex]x^{3} = x*x*x\\x^{5} = x*x*x*x*x\\x^{3} x^{5} = x*x*x*x*x*x*x*x = x^{8}[/tex] ≠ [tex]x^{15}[/tex]

Cassidy's family built a swimming pool that is
5 meters longer than it is wide. It has an area of
36 square meters. Find the dimensions of the pool

Answers

Answer:

 

Step-by-step explanation:

‎‎‎‎‎‎‎‎‎‎‎‎        

Answer:

4 meters wide and 9 meters long

Step-by-step explanation:

equation- A=wl=4·9=36

A, B, C and D form the vertices of a parallelogram.
AD = 11.1cm, AB = 15.5cm and ZBAD = 71°.
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.

Need help in those three algebra 1 problems

Answers

Step-by-step explanation:

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Me:heck no

Her:LETS GO!

MAMA PAPA

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What is the length of AB?

Answers

Answer:

AB = 5

Step-by-step explanation:

The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be  √3  times as long, and the side opposite the 90 degree angle will be twice as long.

In this case we just divide 10 by 2

Answer:

5 cm

Step-by-step explanation:

Sin 30° = opposite / hypothenus

= AB / 10cm

AB = sin 30° × 10 cm

= 5 cm

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Answers

Answer:

D. (4 1/2, 2 1/2)

Step-by-step explanation:

Look for each point on the coordinate graph.

Your bank give you 6% annual interest compounded quarterly on all savings account balances. Which of the following is the multiplier used when modeling this situation

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

$43,000 invested at a rate of 5% compounded annually for 3 years.

Answers

ANSWER: $49,777.88

Reasoning: the equation is
y=43,000(1.05)^3

Do the math and then

y=43,000(1.157...)
y=49777.875

Then round to...
$49,777.88

What is the interquartile range for Genivieve’s data?

Answers

Answer:

May you please attach a picture of Genivieve’s data or insert it as text?

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i got 100% on edmentum

Find the distance between the pair of points (3, 5) and (-3, 8)

Answers

Answer: 3

Step-by-step explanation:

If one cookie costs $0.30, how much would 36 cookies cost?
O A. $9.18
O B. $9.80
O C. $10.80
D. $12.00

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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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.

Hope this helps!

ASAP ! The the area of a rhombus is 135 cm". The length of one diagonal is 15cm.
What is the length of the other diagonal
25 cm
O
12 cm
o
18 cm
20 cm

Answers

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6k2 – 36k k2 + 12k + 36
А
k2 - 36
1
What is A?

Answers

Answer:

A = 6k(k + 6)

Step-by-step explanation:

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

[tex]\frac{6k^2-36k}{A}.\frac{k^2+12k+36}{k^2-36}=1[/tex]

[tex]\frac{(6k^2-36k)(k^2+12k+36)}{A(k^2-36)}=1[/tex]

(6k² - 36k)(k² + 12k + 36) = A(k² -36)

6k(k - 6)(k + 6)² = A(k - 6)(k + 6)

A = [tex]\frac{6k(k-6)(k+6)^2}{(k-6)(k+6)}[/tex]

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Therefore, value of A is 6k(k + 6).

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12.3 kilometers
10
9
8
6.5 kilometers
7
Kevin's House (25,6)
6
5
4
13.7 kilometers
3
2
Video Game Store (25,2)
15.7 kilometers
5 6 7 8 9 10
1 2 3 4
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Answers

Answer:

The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Find the distance between the points (-3, -4) and (-5, 2) using the Pythagorean Theorem.

Answers

Answer:

d=6.324

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

[tex]d=\sqrt{(-5-(-3)^{2} +(2-(-4)^{2} }[/tex]

[tex]d=\sqrt{(-5+3)^{2}+(2+4)^{2} }[/tex]

[tex]d=\sqrt{(-2)^{2}+6^{2} }[/tex]

[tex]d=\sqrt{4+36}[/tex]

[tex]d=\sqrt{40}[/tex]

[tex]d=6.324[/tex]

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Answers

Answer:

9

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].

Since [tex]c^{2}[/tex] is the hypothenuse, and the hypothenuse in this case is 15, the equation will be [tex]12^{2}+ b^{2} = 15^{2}[/tex].

144+[tex]b^{2}[/tex]=225

subtract 144 from both sides

[tex]b^{2}[/tex]= 81

[tex]\sqrt{b^{} } = \sqrt{81}[/tex]

b=9

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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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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Domain: {2, 3, 4 }

Range: {3, 5, 7, 8}

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

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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Answer:

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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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Answer:

V/2 is the answer.

Step-by-step explanation:

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Elsa took out a 2-year loan to buy a car at a 6% simple interest rate. If she has to pay $264 in interest;

How much interest did she pay each 1 year?

How much principal did she borrow?

Answers

Answer:

P = I / rt is the formula we're going to use.

P is the principle (which is what we're solving for)

I = the interest accrued over the specified amount of time (2 years)

r = the interest rate (6%)

t = the time specified (2 years)

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