In triangle PQR m angle P=60°, and m angle Q=30°, and m angle R=90°. Which of the following statements about triangle PQR are true? Check all that apply.

In Triangle PQR M Angle P=60, And M Angle Q=30, And M Angle R=90. Which Of The Following Statements About

Answers

Answer 1

Answer: A, C, and F

Step-by-step explanation:

Answer 2

The correct statements about triangle PQR.are given by options A), B), and F) and this can be determined by using the trigonometric functions.

Given :

In triangle PQR, angle P is 60°, angle Q is 30° and angle R is 90°.

The trigonometric functions can be used in order to determine the correct statements about triangle PQR.

[tex]\rm sin30 = \dfrac{PR}{QP}[/tex]

[tex]\rm PQ = 2\;PR[/tex]

[tex]\rm cos30 = \dfrac{QR}{QP}[/tex]

[tex]\rm PR=\dfrac{\sqrt{3} }{2}\;PQ[/tex]

[tex]\rm tan30 = \dfrac{PR}{QR}[/tex]

[tex]\rm \sqrt{3}\; PR= QR[/tex]

[tex]\rm sin60 = \dfrac{QR}{PR}[/tex]

[tex]\rm QR=\dfrac{\sqrt{3} }{2} \;PR[/tex]

[tex]\rm cos60 = \dfrac{PR}{QP}[/tex]

[tex]\rm PR=2\;PQ[/tex]

[tex]\rm tan60 = \dfrac{QR}{PR}[/tex]

[tex]\rm PR=\sqrt{3} \; QR[/tex]

Therefore, the correct option A), B), and F).

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Related Questions

A T-Rex made 16 waffles for his friends for breakfast. 5 were blueberry waffles and the rest were chocolate chip waffles. How many chocolate chip waffles did he make?

Answers

Answer: 11 waffles were chocolate chip

Step-by-step explanation:

16-5=11 waffles were chocolate chip

Find the circumference of a circle with a radius of 19 inches. Give an exact answer.
Provide your answer below:

Answers

Answer:

119.38

Step-by-step explanation:

Answer:119.3805208 inches

Step-by-step explanation:

the answer are...
a. -2
b. -1/2
c. 1/2
d. 2

Answers

Answer:

C. 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 4)

Point (-8, 0)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{0-4}{-8-0}[/tex]Subtract:                       [tex]m=\frac{-4}{-8}[/tex]Simplify:                        [tex]m=\frac{1}{2}[/tex]

If 4321 - 4322 = 10
Then what's 3321 - 3322 = ?

Answers

Answer:

10 sorry if i'm wrong

Step-by-step explanation:

Am I correct on this ?

Answers

The answer is -7!!!!  can you help me too???? im stuck on one problum!!!

:D

What equation represents the line shown
A.y=2x+2
B.y=-2x+2
C.y=1/2x+2
D.y=1/2x+-2

Answers

The slope is negative
B. -2x+2 since it’s the only line that has a negative slope

Answer:

The answer must be either C or D but I think it is D

Step-by-step explanation:

sorry if I am wrong

Mr. and Mrs. Sanchez hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $9500 to her education?

Answers

Answer:

Principle (P) = $2,512.56 (Approx)

Step-by-step explanation:

Given:

Interest annually (R) = 9.5% = 0.095

Amount need (A) = $9500

Time period (T) = 14 years

Find:

Principle (P)

Computation:

A = P[e^(R*T)]

9,500 = P[e^(0.095 x 14)]

9,500 = P[3.781]

P = 9,500 / 3.781

Principle (P) = $2,512.56 (Approx)

Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.

A compound interest is given by the formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.

Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]

Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.

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PLZZ help me with this I will give brilliantis to whoever gets it right

Answers

Answer:

C

Step-by-step explanation:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?

Answers

Answer:

man the answers are 40 10 30

Step-by-step explanation:

A college student takes the same number of credits each semester. She had 9 credits when she started, and after 6 semesters, she had 117 credits.

Answers

Answer:

18 credits per semester

Step-by-step explanation:

Based on the information given the rate at which she is earning credits  is 18 credits per semester.

Using this formula

Credits earning rate=Ending credit-Beginning credits /Number of semesters

Where:

Ending credits=117 credits

Beginning credits=9 credits

Number of semesters=6

Let plug in the formula

Credits earning rate=117-9/6

Credits earning rate=108/6

Credits earning rate=18 credits

Inconclusion the rate at which she is earning credits  is 18 credits per semester.

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The auto parts department of an automotive dealership sends out a mean of 3.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be more than 3?

Answers

Answer:

0.603

Step-by-step explanation:

Given that mean = 3.2

Probability that special order sent out will be no more than 3

Using poisson :

P(x) = (e^λ * λ^x) / x!

λ= 3.2

P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)

P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622

P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390

P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024

P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159

Hence ;

0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195

= 0.603

Becky read 10 books in 4 days.Sarah reads 50 books in 20 days. Are the two girls reading at the same rate

Answers

Yes,
10 x 5 = 50
4 x 5 = 20
They both have equal multiples.

PLEASE HELP!!!!

IT IS NOT A

A. Yes; 20 hours/painter

B. Yes; 8 hours/painter

C. No; Does not pass through the origin

D. None of the above

Answers

Answer:

C

Step-by-step explanation:

Answer:

Pretty sure it's

D. None of the above

Is 2/15 and 3/30 proportional

Answers

Answer:

No

Step-by-step explanation:

To turn 15 into 30, you multiple 15*2=30.

If you do that to the bottom of the fraction, you should be able to do it to the top however, 2*2=4 not 3 so they are not proportional.

A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

4x + 5y = 30.50  

11x + 14y = 84.50

The variable x represents the .

The variable y represents the .

The deli charges $ .

Answers

Answer:x=cost per pound of meat

Y=Cost per pound of cheese

The deli charges 4.50 for a pound of meat

Step-by-step explanation:

Answer:

The variable x represents the

✔ cost per pound of meat

.

The variable y represents the

✔ cost per pound of cheese

.

The deli charges $

✔ 4.50 for a pound of meat

.

Step-by-step explanation:

Why can prime number be a multiple of any other number except itself

Answers

Answer:

the factors of prime numbers are only 1 and itself

Answer:

A factor number can only be divided by itself or 1 meaning it cant be a factor anything more than that.

Step-by-step explanation:

NEED HELP PLEASE!!!!

Answers

Answer:x=35

Step-by-step explanation:

PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 5.3x - 9 + 7.6x

Answers

Answer:

12.9x - 9

your welcome

What are the different ways to write multiplication in math

Answers

Answer:

Different ways to write multiplication include:

3 times 5

3x5

(3)(5)

3(5)

(3)5

etc

Step-by-step explanation:

I hope this helps!

Answer: 3 x 5, 3 · 5, 3 * 5 , (3) (5), 3 (5), and (3) 5. Hope this helps.

Step-by-step explanation:

How many fewer boys’ shoes were 19 cm long than 22 cm long?

Answers

Answer:

6 boys

Step-by-step explanation:

I had a quizlet

Hhhhhhhhhhhhhheeeeelllpppppp

Answers

Answer:

c

Step-by-step explanation:

The answer is C.

The difference of 9 and 4 is the same thing as 9-4 (difference means subtraction is involved). 3 times that different is (9-4) x 3, with the parentheses being necessary because of PEMDAS

find the sum of 301+73+27 , mentally, using the associative property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.

Answers

Answer:

401

Step-by-step explanation:

301 + 73 + 27

Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.

Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.

301 + 73 + 27 =

= 301 + (73 + 27)

= 301 + 100

= 410

The sum of two numbers is 60 and the difference is 6. What are the numbers?

Answers

Answer:

33 and 27

Step-by-step explanation:

60 ÷ 2 is 30

33 is 6 more than 27

What is the u equal to -4=u/2-8

Answers

Answer:12. V is not needed, and just substitute the letters with the numbers the correspond to.

Step-by-step explanation:

Do I have this correct or did I read the instructions wrong? This is due tomorrow and I’m still on slide 1. Pls help!

Answers

Answer:you are correct great job

Answer:

Hey man! Just saw this and that answer is not correct! I see how you were thinking tho. Here is how it should be graphed.

Step-by-step explanation:

I have marked the correct dots in green.

(1, -7) slope = -1 writing linear equations given point and slope

Answers

Answer:

The answer is

[tex] \huge y = - x - 6[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]

We have the final answer as

[tex]y = - x - 6[/tex]

Hope this helps you

When multiplying more than two integers, describe how you know the sign of the product

Answers

Answer:

The number of negative integers given determines the sign of the product.

Step-by-step explanation:

The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.

Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.

Therefore, the number of negative integers given determines the sign of the product.


1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the
rectangle

Answers

Answer:21

Step-by-step explanation:

x=length

x(x-6)=315

x^2-6x=315

x^2-6x-315=0

(x-21)(x+15)

x=21, x=-15

x cannot be negative so the only answer is 21

Solve for X. PLEASE HELP

Answers

Answer:

xxtentacion for life

Step-by-step explanation:

X = 8


9 + 7 = 8 + x
16 = 8 + x
x = 8

Which weighs more a backpack that weighs 9.5 kg grams or a case of water that weighs 16 pounds

Answers

Answer:

The backpack weighs more

Step-by-step explanation:

9.5kg = 20.94391 lbs

Answer:

a backpack that weighs 9.5kg

Step-by-step explanation:

kilogram (kg) is stated to be 2.2 times heavier than a pound

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