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

ali is paid $200 for working 8 hours.How much is he paid for working 6 hours?​

Answers

Answer:

$150

Step-by-step explanation:

Hey! The answer is 150.
This is because he is paid 25 dollars an hour. So to figure out what he is paid for 6 hours, we need to multiply 6x25 which equals 150.

Hope this helps!! Have a great day!! :)

i don’t understand, explain also

Answers

Answer:

32

63

Step-by-step explanation:

m<BCA=180-148-32 Subtract 180-148 b/c x<BCA is along the straight line ACD. A straight line will have an angle of 180 degrees.

m<CAB=180-32-85=63 All triangles have angles which add up to 180 degrees. Subtract 32 and 85 from 180 to get 63.

Step-by-step explanation:

148 + x = 180

x = 180 - 148

x = 32

Find m<CAB basically means find the measure of the angle of A ( m<A )

m<B + m<A + x = 180

85 + m<A + 32 = 180

117 + m<A = 180

m<A = 180 - 117

m< A = 63, so m<CAB = 63

And m<BCA means find the measure of angle C(m<C) or as we did it earlier as x, which is the same thing.

So m<BCA = 32

How do you find the height of a parallelogram without the area of it?

Answers

Answer:

See: https://brainly.in/question/12682555

Step-by-step explanation:

The link provided will take you to a differently worded explanation from another user.

You may see the "slant" referred to as a "hypoteneuse", as the shape created by the line of height(or altitude) is a right triangle. Given the base of the triangle and the "slant" or "hypoteneuse", format the equation (a²+b²=c²)-where a represents the height(altitude), b represents the base, and c represents the slant(hypoteneuse)- to fit your needs:

c²-b²=a². From this point, find the square root(√) of a. If it cannot be simplified further, then (√a) is your solution.

Resuelve
14 - 15 – (-13) + 12 – (-11)

. 20 – 40 – (- 50) + 70 – 100

Answers

can u translate it into english

HELP, i’m struggling

Answers

Answer:

x = 14

Step-by-step explanation:

(3x + 8) = (4x - 6)

3x + 8 = 4x - 6

     +6         +6

3x + 14 = 4x

-3x          -3x

14 = 1x

x = 14

plug 14 into the x, then solve it urself

The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?

Answers

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask? A. How many employees are there in the company? B. Which employee worked the most hours in the last month? C. How many employees worked more than 35 hours this week? D. How many hours does each employee work in a week?

Answers

D

Because then he can add all the numbers up and then get the amount of hours worked total

Answer:

B. How many hours does each employee work in a week?

Step-by-step explanation:

A statistical question is one that has a variable answer.

The answers to the question, "How many hours does each employee work in a week?" vary by employee, so it is a statistical question.

I hope i helped

help!! :( what is the equation for this circle using the center and radius?

Answers

Answer:

Well Circumference = πr^2, but I don't know what you're asking for?

The amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with 100 g of this radioactive substance, which function represents the amount of radioactive substance left after x hours?

A- f(x)=100(0.15)^x
B- f(x)=100(0.85)^x
C- f(x)=100(1.15)^x
D-f(x)=100(1.85)^x

Answers

Answer:

A

Step-by-step explanation:

I took the test now that is what I got.

Hope this helps.

The function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that the amount of a certain radioactive substance decreases by 15% every hour. A sample starts with 100 g of this radioactive substance.

The function that represents the amount of radioactive substance left after {x} hours is -

f(x)=100(0.15)ˣ

Therefore, the function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

To solve more questions on algebraic expressions, visit the link below-

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What's the answer?

A) Y= 2x
B) Y= -2x - 4
C) Y= 2x - 2
D) Y= 2x + 2

Answers

Hi!! I'd love to help!!

The slope of your points is 2.

When we use the slope intercept formula (y=mx+b), we get y=2x-2.

So the answer to your question is C

Hope this helps!! Let me know if you need any more help or have questions/concerns.

2 of 6
calculator
- Get help
Given that AB is a line segment and the angle y = 47°,
work out the value of the angle marked X.
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to HegartyM
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X
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B.
A
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The diagram is not drawn to scale.
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X =
Skir

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Answer:

ddgklkmbxawryunnvxzfdszAaefgu

The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
74 units
15 units

Answers

Answer:

5 units is the correct value of W

00:00
Figure D'EFG' is a dilation with center (0,0) of figure DEFG. What is the scale factor? Enter your answer in the box.

ILL GIVE BRAINLIST BUT PPLEASE HELP

Answers

Step-by-step explanation:

To work out the scale factor, divide one of the sides from the larger shape from the smaller shape so:

15/6 = 2.5

So your scale factor would be 2.5

And to check this, multiply 2.5 by 6 and u should get 15, so you know it is correct! :)

Hank's car travels 600 feet in 20 seconds. Andy's motorcycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle? Explain your reasoning.

Answers

Answer:

the car travels faster

Step-by-step explanation:

Since the motorcycle has traveled 300 feet, and the car has traveled 600 feet, we will divide 600 by 2

600 divided by 2 = 300

Hank would have traveled 300 feet in 10 seconds

Andy traveled 300 feet at 12 seconds

Therefore Hanks car travels faster

Answer:

The car travels faster

Step-by-step explanation:

600 ft per 20 secs

How many feet in one sec?

600/20 = 30

Hank's car = 30 feet per second

300 feet in 12 sec

How many feet in one sec?

300/12 = 25

Andy's motorcycle = 25 feet per second

one of the factor of 36 is​

Answers

1 2,3,4,6
Hope this helps

(FOR BRAINLIEST!!!)

Type the correct answer in the box.
The line of best fit for this scatter plot shows the relationship between the average temperature and the monthly electricity bill at Jenny's house.

Answers

Answer:

Around 200 Dollars

Hope it helps

Answer:

$200

Step-by-step explanation:

PLZ HELP I WILL GIVE BRIANLY!

In a school, 4 out of every 7 students are girls. if there are 84 students at the school, how many are boys. AND SHOW WORKING​

Answers

Answer:36

Step-by-step explanation:

[tex]\frac{4}{7} =\frac{48\\}{84}[/tex]

for every 7 students there are 4 girls, so for every 84 there must be 48

7*12=84

4*12=48

so, in all 84 students there are 48 girls

so amount of boys=84-48=36

there are 36 boys

1) You can spend at most $24 at the fair. Game

tickets cost $2 each, and ride tickets cost $4

each. You want to buy at least 3 game tickets

and more than 2 ride tickets. Write a system

of linear inequalities that represents the

situation. How many of each ticket can you

buy?

Answers

Answer:

2x+4y= 24

x≥3

y≤2

Step-by-step explanation:

Given data

total expenses= $24

let the number of tickets be x

and the number of rides be y

Tickets cost $2 each, and ride tickets cost $4

Hence the expression for the situation is given as

2x+4y= 24

x≥3

y≤2

percentages
and please explain how to do this because 8 days left for my final exams
i will make you brainliest

Answers

Answer:

1)50% , 2) 25% 3) 350%

Step-by-step explanation:

pls follow me not because I am genius but because I am a swager SWAG

Answer:

1. 50%

2. 25%

3. 350%

4. 125%

5. 30%

6. 45%

7. 59%

8. 380%

Step-by-step explanation:

to find the precentage of a fraction u have to try and make the bottom number 100, 1000, 10000 etc

to do that like the first 1 u do 2 x ? = 100 the answer is 50

Rule what u do to the bottom u have to do to the top

now that u multiply 50 down to make 100 u have to do as the rule say what u need to do is also multiply 1 to 50 to get the answer

as u might know that 100 mean % so u pet the top number and then %

who else is being stressed of school right now??
i am so much can someone give advice on how to stop it??


:)
:)
:)

Answers

Answer:

Finish your homework first (EVERYTHING) before videogames

Step-by-step explanation:

Is this number prime or composite

Answers

Answer:

no

Step-by-step explanation:

its composite

Answer:

Composite

Step-by-step explanation:

70 is a composite number as it has factors other than 1 and itself.

A regular hexagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees in the rotation such that the hexagon will coincide with itself.​

Answers

It’s 60°

360 / 6 = 60°

The minimum number of degrees in the rotation such that the hexagon will coincide with itself is 60°

What is hexagon?

Hexagons are six-sided polygons in geometry. A hexagon is said to be a regular hexagon if all of its sides and angles have identical lengths. To put it another way, a regular hexagon's sides are congruent.

Given that, Around its center, a regular hexagon is rotated counterclockwise.

We are aware that a hexagon has six sides.

There are also 360 degrees.

According to the data given, the calculation is as follows:

= 360 /60

= 60 degrees.

Therefore, we may say that the rotation must be at least 60 degrees in total.

Learn more about hexagons here:

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Pls help ASAP!!!!!!!!
Pls help
I will cash app if I get it right

Answers

Answer:

39 degrees

Step-by-step explanation:

97+44= 141

141 - 180 = 39

39 degrees, no need to cash app LOL

Here is a list of numbers.
32 29 30 37 34 33 31
Tanya thinks that to work out the median, she simply needs to find
the middle number. So she says that “37" is the median for this list of numbers.
Tanya's answer is not correct.
a) Describe what is wrong with her method.
b) Work out the median of the numbers in the list.

Answers

Answer:

a). To find the median from a set of numbers, you need to arrange them from ascending order (smallest to biggest), and then you need to find the number in the middle

b). 32

Step-by-step explanation:

b). Smallest to biggest

29, 30, 31, 32, 33, 34, 37

From the set of numbers given, we can clearly see that 32 is in the middle.

arm-Up
Active
Identifying the System of Measurement
Check
Sort the units of measure into the appropriate system.
Customary System
Metric System
miles
ounces
deciliters
kilometers
centigrams
cups

Answers

customary system; miles, cups, ounces

metric system; deciliters, kilometers, centigrams

Answer:

just here to say the guy above me is correct

Step-by-step explanation:

did it on edge 2021 :D

Given that the random variable X = number of days a student sleeps in during the week, what is the correct notation for the probability that a student will sleep in at least 3 days?​

Answers

Answer:

X > 3/7

Step-by-step explanation:

X > 3/7

We know that the student sleeps in at least 3 days, but we don't know what the exact number is, we use an inequality where X is greater than or equal to 3 out of the 7 days.

X>3/7


S
S
S
D
S
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Ddkdjjdjdhdjd

can someone help me find the prerimter of this shape

Answers

Answer:

114

Step-by-step explanation:

If this answer helped you then please mark it as brainliest so I can get to the next rank

Pretty sure it’s 132

Maria's job pays her $1500 a month what is her gross weekly wage

Answers

Answer:

annual: $18000

weekly: $346.15

.
Solve the equation below, then record your answer in the space provided.


negative 5 multiplied by 6 equals.


Record your answer and fill in the bubbles on your answer document. Be sure to indicate whether it is positive or negative and to use the correct place value.

Answers

Answer:

5 5.5 x.6xy67

ykfjgbv:bcjh

evaluate -7 5/8 + (-6 1/4)

Answers

Answer:

exact form:

-111/8

Decimal form:

-13.875

Mixed Number Form:

-13 7/8

Answer:

-5.875

Step-by-step explanation:

primero se resuelve el paréntesis

1/4 =0.25

y se multiplica por el -6

0.25x-6= -1.5

luego se resuelve el otro lado

primero dividimos

5/8=0.625

y se multiplica por -7

0.625x-7= -4.375

y para finalizar se suman los dos lados

-4.375 + -1.5

= -5.875

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