In ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. Find the measure of ∠R to the nearest degree

Answers

Answer 1

Answer: 57

Step-by-step explanation:

Answer 2

The value of the angle ∠r is equal to 56.63°.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that in ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. The value of angle ∠r will be calculated as,

r² = p² + q² -2pqcos(r)

(7.7)² = (8.5)² + (1.7)² - 2 x 8.5 x 1.7cos(r)

59.29 -75.14 = -28.9cos(r)

cos(r) = 15.85 / 28.9

cos(r) = 0.55

r = cos⁻¹(0.55)

r = 56.63°

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Related Questions

I need a bit of help you don’t have to do all of them but put which # your doing please and thank you if you do answer all thank you

Answers

Answer:

1.  26

2. 15

3. 14

4. [tex]\sqrt{50}[/tex] or [tex]5\sqrt{2}[/tex]

5. [tex]\sqrt{11} \\[/tex]

6. [tex]\sqrt{245}[/tex]  or [tex]7\sqrt{5}[/tex]

I think most of these answers are correct

is it acute, obtuse, or right?

Answers

Answer:

uh i think thats acute so maybe a?

It is acute I hope it helps :)

b) 0.069 + 0.84 can u guys plzz help me it math subject and the lesson name is decimal help ​

Answers

0.909

Add together 69 and 840 (0.84 has less to the right) and put it behind a decimal.

Answer:

0.909

Step-by-step explanation:

Because there are decimals

0.069+

0.84

=0.909

Hope this helps you

Find the slope and y-intercept of the line

y=-1/5x+9

Answers

Answer:

Step-by-step explanation:

Slope and y-intercept form of a line: y =mx + b

m -> Slope;     b -> y-intercept

y = (-1/5)x + 9

Slope = -1/5

y-intercept = 9


Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(4,−3); y=3x−5

Answers

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope of the line ([tex]m[/tex])

When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:

[tex]y=3x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.

[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]

Subtract both sides by 12

[tex]-3-12=12+b-12\\-15=b[/tex]

Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.

[tex]y=3x+(-15)\\y=3x-15[/tex]

I hope this helps!

Deion finds that the world's population is 7.048 billion and is increasing at a rate of 1.1% per year. Which function
would Deion use to model the growing population in billions, P(t), based on the number of years, t, after this year?

Answers

Answer:

Step-by-step explanation:

I think it’s a

The radius of a circle is 3 kilometers. What is the circle's circumference?
r=3 km

Answers

C=6pi

Step-by-step explanation:

help me...
condition (0°≤A≤360°)


sin5A+sin3A=cos2A-cos6A​

Answers

Answer:

this is your answer. i am not sure at all.

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.....

Hi! When I type into the calculator and multiply 0.12 and 100 it comes out as 13.2, why is that?

Answers

Answer:

because it is a decimal so it multiplies 100 by the decimal which is a smaller number, almost like how when you divide it becomes a smaller number.

Step-by-step explanation:

hope this helps:)

i'm not sure why that is, but the only thing i can assume is that either your calculator is broken somehow or you are accidentally typing in the wrong numbers.

you might also have forgotten to clear your calculator before attempting to put in 0.12 x 100.

i recommend using an online calculator for the time being if your calculator is faulty/having issues.

PLESSSS HELP MEEEE ANSWER ALL THANKSSSS!!!!! MUCH LOVEeee!!

Answers

Answer:

Omg my oth acc is gone

Step-by-step explanation:

Please Help Me, I will give the person who answers the best brainliest.

What is the equation of a line that contains the points (5, 0) and (5, −2)?

x = 5
x = 0
y = 0
y = 5

Answers

The answer has to be number 2 because I took the test and I got it right

help me with this urgent due in 5 min​

Answers

Answer:

The last option

Step-by-step explanation:


5) How many thousands are there in 2 158 621?​

Answers

Answer:

2,158,621 = 2 (i think)

2




Blah blah blah blah

Write an expression that represents the height of a tree that begins at 9 feet and increases by 3 feet per year. Let y represent the number of years.

Answers

Answer:

h=3y+9

Step-by-step explanation:

We will write an expression using the y=mx+b format.

h in this case will be the height at any given year.

3 is the rate at which the three grows, y will represent any given year.

9 is the starting rate, or your y intercept.

Answer:

h=3y+9

Step-by-step explanation:

let h represent the height of the tree

h=3y+9

y = -63 y = 8x + 6
Use Substitution to solve​

Answers

9514 1404 393

Answer:

  (x, y) = (-8.625, -63)

Step-by-step explanation:

Substitute for y.

  -63 = 8x +6

  -69 = 8x . . . . . subtract 6

  -69/8 = x = -8.625

The solution is (x, y) = (-8.625, -63).

im glistening
.,.,.,.,.,.,.,.,.,

Answers

Answer:

huh

Step-by-step explanation:

Answer:

cool

Step-by-step explanation:

9x²+18x-7 (Factor COMPLETELY)

Answers

Answer:

(3x - 1) • (3x + 7)

Step-by-step explanation:

Also if you ever need help with algebra, tiger-algebra.com is a good way to solve it! It gives you the steps and everything too.

Hope this helps!

Step-by-step explanation:

[tex]\tt{}( {9x}^{2} - 18x - 7)[/tex]

[tex]\tt{} {9x}^{2} + 21 - 3x - 7[/tex]

[tex]\tt{}3x \times (3x + 7) -( 3x + 7)[/tex]

[tex]\tt{}(3x + 7) \times( 3x - 1)[/tex]

Find the x value?
Help pls

Answers

Answer:

Step-by-step explanation:

sin(63°) = x/22

x = 22sin(63°) ≅ 19.6 units

math work pls help :)​

Answers

Answer:

e

Step-by-step explanation:

As the figure shows, the triangle are right triangle s. So the choice is e

Tori bought one share of Macy's stock on Nov 1, 2016 for $33.38.
Four years later, she sold it and the closing price for that day was
$5.09. a) How much money did she gain/lose with this stock?
b) What is her rate of return?

Answers

Tori's loss from the stock will be $28.29 and her rate of return will be -84.75%.

Since Tori bought one share of Macy's stock on Nov 1, 2016 for $33.38 and she sold it and the closing price for that day was $5.09, her loss will be;

= $5.09 - $33.38

= -$28.29

Her rate of return will be:

= -28.29/33.38 × 100

= -84.75%

Read related link on:

https://brainly.com/question/20126641

About 35% of all U.S. households have a cellular phone. If you called 7 households to inquire if they have a cell phone.

To calculate this distribution, what would you set p equal to? p =
What would q be equal to? q =
What would n be equal to? n =​

Answers

Answer:

p = 0.35

q = 0.65

n = 7

Step-by-step explanation:

To calculate the distribution, we have the following values;

p = 35% = 35/100 = 0.35

q = 1-p = 1-0.35 = 0.65

n = 7

Answer:

p = 0.35

q = 0.65

n = 7

Step-by-step explanation:

Write the algebraic expression for the situation. I have 3 times as many
chickens as Bob. (Use b as the variable for Bob).

Answers

Answer:

Y= 3b

Step-by-step explanation:

David's money is three times Siti's money. Farid has RM 150 less than Siti. The total amount of their money is RM 2 000. How much do each of them have? ​

Answers

Answer:

Siti's money = RM 430

David = RM 1,290

Farid = RM 280

Step-by-step explanation:

Let

Siti's money = x

David = 3x

Farid = x - 150

Total of their money = RM 2 000

x + 3x + (x - 150) = 2000

4x + x - 150 = 2000

5x = 2000 + 150

5x = 2,150

x = 2,150/5

x = RM 430

Siti's money = x

= RM 430

David = 3x

= 3(430)

= RM 1,290

Farid = x - 150

= 430 - 150

= RM 280

giving brainlest to whoever can solve ^^

Answers

Answer:

c

Step-by-step explanation:

-8 + 12 =4

Which set of side lengths could be the side lengths in a
right triangle?
OA) 8, 20, 25
OB) 9, 40, 41
OC) 10, 40, 45
OD 6, 30, 31

Answers

the answer is B. i hope this helps

Prita grocery shoppingShe wants to buy a loaf of bread that costs $5.29, ten apples that cost $1.05 each, and three pounds of bananas that cost $ 0.89 per pound. Which is the best estimate for the total cost of Prita's grocerles ?

Answers

Answer:

the real answer is 18.46 but a round estimate would be 18 dollars if rounding to nearest whole. if u going to nearest tenth u would be going 18.5. :)

Step-by-step explanation:

Answer:

the groceries will cost $18.46

Step-by-step explanation:

bread: $5.29

ten apples: $10.50

3 pounds of bananas: $2.67

Please help this is for a big grade

Answers

Answer:

x = 12

Side length = [tex]2\sqrt{3}[/tex] in

Step-by-step explanation:

Area of the given hexagon = 6 × (Area of the triangular section)

Area of the triangular section = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                 = [tex]\frac{1}{2}(2)(\sqrt{3})^{\frac{x}{12}}(\sqrt{3})^{\frac{x}{6}}[/tex]

                                                 = [tex](\sqrt{3})^{\frac{x}{12}}[(\sqrt{3})^2]^{\frac{x}{12}}[/tex]

                                                 = [tex](\sqrt{3})^{\frac{x}{12}}(3)^{\frac{x}{12}}[/tex]

                                                 = [tex](3\sqrt{3})^{\frac{x}{12}}[/tex]

Now area of the given hexagon = [tex]6(3\sqrt{3})^{\frac{x}{12}}[/tex]

Since, area of the hexagon is = [tex]18\sqrt{3}[/tex] in²

[tex]6(3\sqrt{3})^{\frac{x}{12}}=18\sqrt{3}[/tex]

[tex](3\sqrt{3})^{\frac{x}{12}}=(3\sqrt{3})^1[/tex]

[tex]\frac{x}{12}=1[/tex]

x = 12

Therefore, side length = [tex]2(\sqrt{3})^{\frac{x}{12}}[/tex]

                                      = [tex](2\sqrt{3})^{\frac{12}{12}}[/tex]

                                      = [tex]2\sqrt{3}[/tex] in.

Pls help! Correct answers for brainliest!

1. The sum of three consecutive numbers is 102. What is the smallest of the the three numbers?

2. The sum of three consecutive numbers is 69. What is the smallest of the three numbers?

3. Keith bought a soft drink for 4 dollars and 8 candy bars. He spent a total of 44 dollars. How much did each candy bar cost?

4. Tim bought 4 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many did Tim start with?

Answers

Answer: 1. 33 , 2. 21 , 3. $5.00 , 4. 39.

Step-by-step explanation:

4. Let the original number of baseball trading cards in Tim's possession be

x

An equation to arrive at the number will be:

x

+

9

2

=

24

This is because half the collection AFTER adding

9

new cards is

24

(the other half was eaten by his dog).

Multiply both sides by

2

.

x

+

9

=

48

Subtract

9

from both sides.

x

=

39

What is the distance from Point A to Point B?
A(-4,2)
B(6,-3)

Answers

Answer:

The distance is (10,5). Hope I helped! Have a great day :)

Step-by-step explanation:

please help asap.....​

Answers

The answer is A. 6x^2-45x+21
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