What is the measure of angleR to the nearest degree? TR-35 ST-30 S-69° •31° •53° •58° •80°​

Answers

Answer 1

In the diagram, the measure of angle R is 53°

Law of sines

From the question, we are to determine the measure of angle R

Using the law of sines, we can write that

[tex]\frac{sin R}{r} =\frac{sin S}{s}[/tex]

In the given diagram,

r = 30

S = 69°

s = 35

Thus,

[tex]\frac{sin R}{30} =\frac{sin 69^\circ}{35}[/tex]

[tex]sin R =\frac{30 \times sin 69^\circ}{35}[/tex]

sin R = 0.8002

R = sin⁻¹(0.8002)

R = 53.149°

R ≈ 53°

Hence, the measure of angle R is 53°

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What Is The Measure Of AngleR To The Nearest Degree? TR-35 ST-30 S-69 31 53 58 80

Related Questions

6x + 2y = 12
5x + 2y = 8​

Answers

Answer:

I searched it up and took a screenshot

Step-by-step explanation:

Here they are:

Btw the 1st one is for 6x + 2y = 12 and the second one is for 5x + 2y = 8​.

Hope this helps! : )

What is the volume of the rectangular prism?
Height : 10 1/2 in.
Width : 2 3/4 in.
Length : 5 in.

Answers

Answer:

Step-by-step explanation:

volume=10 1/2 ×2 3/4 ×5

=21/2×11/4×5=1155/8=144 3/8 cubic inch

(PLEASE HELP)
Which of these statements about George’s integer must be true?

Answers

Answer:

Answer A is the correct answer.

The answer is D

Pretty confident the first guy was wrong

Harper’s parents put $75 into her school lunch money account. Each meal she gets from school costs her $3.25. The school sends Harper’s parent’s an email when the balance reaches $19.75. Let m be the number of meals Harper has bought when they get the email. Set up and solve an equation to find the value of m.

Answers

19.75 divided by 3.25 = m
M= 6.07692307692

Hope this helps :D

10x = 2x -8 what is this answer

Answers

Answer:

x=-1

Step-by-step explanation:

Answer:

10x = 2x -8

-2x -2x

8x = -8

divide by 8

x = -1

How many inches are in 2 yards, 3 feet?

Answers

There are a total of 108 inches in 2 yards 3 feet

Answer:

3 feet = 36 inches

2 yards = 72 inches

Add them together to get:

108

8, 9, 3, 9, 3, 8, 4,4
1)
Mean
Median
Mode
Range

Answers

Step-by-step explanation:

the mean is simply

8+9+3+9+3+8+4+4=48

48/8=6

mean= 6

the median is simply

3,3,4,4,8,8,9,9

4+8=12÷2=6

median=6

the mode is simply(I'm not sure of this answer)

3,4,8,9

the range is

9-3= 6

please help me if you can thank you.

Answers

Answer:

X. 120 Y. 30 Z. 36.5

Step-by-step explanation:

X. 360-107-133= 120

Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30

Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5

Students got to choose what game they wanted to play in gym class. The ratio of people wanting to play kickball to dodgeball was 7:5. what percent of the students wanted to plau dodgeball? (round to the nearest percent)​

Answers

Answer:

7%

Step-by-step explanation:

Because the ratio was 7 to 5 which means 7 people wanted to play kickball and 5 percent wanted to play dodgeball

solve it please, (√9 + √9) ASAP​

Answers

Answer:

6

Step-by-step explanation:

(sqrt(9)+sqrt(9))

3+3

6

Answer:

6 is the answer.

Step-by-step explanation:

(√9 + √9) = ?

→ √9 + √9

→ 3 + 3 = 6

HELP PLEASE QUICKLY!!! NO LINKS PLSS!!
1. The garden of the hotel has a certain shape as seen in the figure below. Teresa wants to plant roses in that garden The diagram shows the shape and dimensions of Teresa’s rose garden.

a. Find the area of the garden.

b. Teresa wants to buy mulch for her garden. One bag of mulch covers 12 square feet. How many bags will she need?

Answers

1a. (15x9)+(9x24)
135+216
351 ft squared
1b. 30 bags

HELP ON THIS PLEASE GUYS :(

Answers

you have a brain, do it yourself

Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
A - Eric rode 222 more miles per week than Kim rode.
B - Kim rode 333 more miles per week than Eric rode.
C - Kim rode 111111 more miles per week than Eric rode.
D - Eric rode 171717 more miles per week than Kim rode.

Answers

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

Answer:

A.

Step-by-step explanation:

What are the coordinates of vertex D to complete the square ABCD?
les -)
A)
(3,6)
B)
(4,7)
C)
(7,3)
D
(7,4)

Answers

Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.

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Mitch ate dinner at a restaurant. The bill came to $82. If he left an 18% tip, how much was the tip?

Answers

Answer:

14.76

Step-by-step explanation:

82 x .18 = 14 76 tip

the perimeter of a rectangle is 24 cm. if the length is y cm, what is the width?

Answers

Answer: x=12-y

2x+2y=24
2x=24-2y
x=12-y

If PQRS is a parallelogram, what is the value of y?

O A. 44
B. 60
C. 52
O D. 26
O E. 48
O F. Cannot be determined

Answers

Answer:

C. 52

Step-by-step explanation:

If this is a parallelogram then sides PS and QR must have the same length. If PS is 13 then 1/4y must equal 13. 1/4 of 52 is 13 meaning y must equal 52.

Answer:

52 is right

Step-by-step explanation:

Hello I need help../ Why was madame cj walker was proud of her daughter?​

I need help






plzzz

Answers

your in the wrong section you should be in the history section
Madame CJ Walker’s daughter became a central figure in the Harlem Renaissance!

ILL MARK YOU BRAINLEIST.

Finish each equation so that it has the correct solution or type of solutions:
3x + 4 = ______ no solutions
3x + 4 = ______ infinite solutions
3x + 4 = ______ solution is x = 4
3x + 4 = ______ solution is x = -3
3x + 4 = ______ solution is x = 1/2

Answers

Answer:

0

x

16

-5

5.5

Step-by-step explanation:


A circle with an area of 8pi square centimeters is dilated so that its image has an area
of 32pi square centimeters. What is the scale factor of the dilation?
A.2
B. 4
C. 8
D. 16

Answers

Answer:

scale factor = length of image

corresponding length of object

= 32

8

= 4

The scale factor of the dilation of the given object is 4.

What is scale factor of dilation?

The scale factor of dilation of an object is determined by taking the ratio of image length to corresponding object length.

The scale factor of the dilation of the object is calculated as follows;

[tex]S.D = \frac{32\pi \ cm^2}{8\pi \ cm^2} \\\\S.D = 4[/tex]

Thus, the scale factor of the dilation of the given object is 4.

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A jar contains 18 marbles that are all the same size. It contains 7 purple, 3 green, and 8 orange marble. What is the probability of picking a green marble? Type your probability as a fraction in the simplest form.​

Answers

Answer:

1/6

Step-by-step explanation:

3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.

3/3=1

18/3=6

1/6

The probability of picking a green marble is 1/6.

To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.

The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).

So, the probability of picking a green marble can be written as:

P(green marble) = Number of green marbles / Total number of marbles

Substituting the values, we get: P(green marble) = 3 / 18

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6

Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.

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someone give me the rest of the answers please​

Answers

One of the questions was very hard to tell what numbers is in it.

I answer it in the photo below :)

Hope this help you!!!!

A container of water is heated to 100°C. At this temperature, what will happen to the water

Answers

Answer: The water will start to boil.

Step-by-step explanation: Water boils at 100 C.

Answer:

I will boil I hope this answer was good!

Solve the equation 5y – 7x = 7 for y. 7 7 Oy x+ o y = 35x + 35 Оу — als 7 5 o y= 35 – 35x​

Answers

Answer:

1st option

Step-by-step explanation:

Given

5y - 7x = 7 ( add 7x to both sides )

5y = 7x + 7 ( divide the terms by 5 )

y = [tex]\frac{7}{5}[/tex] x + [tex]\frac{7}{5}[/tex]

Plsssss helppppppp how do u do thissssss
I WILL GIVE 43 POINTSSS

Answers

Hello! answer: 276

I dont know for sure though cause the model looks different from what I've seen before so answer at your own risk but I'm pretty sure this is right Hope that helps!

Ok so what I did was base × height for the rectangles because thats the formula for those those I got 70 for both the left and right the left isn't showing but I'm assuming its there its 70 for both because 14 × 5 = 70 then for the bottom is 112 because 14 × 8 = 112 then the two triangles are 12 each because 8 × 3 = 24 then divide by 2 because thats what you do for triangles then I just add all these numbers up so... 70 + 70 + 112 + 12 + 12 = 276

i got the same answer ^

Amelia volunteers at her town's animal shelter. Every day, she puts out 10 ounces of food for each of the 8 dogs. If dog food comes in 25-pound bags, how many days will one bag of dog food last?

Answers

Answer:

5 days

Step-by-step explanation:

dogs, combined, eat 80 ounches of food daily

there are 16 ounces in one pound so there are 25x16, or 400 ounces, in a 25-pound bag

400/80 = 5

25-pound bag would last 5 days

One bag of dog food volunteered by Amelia, Which have quantity of 25 pounds  will last for 5 days.

What is ratio?

Ratio is mathematical term, which we use for comparing two or more terms. basically it indicates that how much big or small is number in compared to another.

Given that,

Every day, Amelia puts out 10 ounces of food for each of the 8 dogs.

Dog food comes in 25-pound bags.

And it is know that,

1 pound = 16 ounce;

so by that way it can state that,

Dog food for 25-pound bag will be equal to;

25*16

400 ounce.

Everyday requirement of dog food is 8*10 = 80 ounce/day

Number of days food will  last= Available quantity/Everyday requirement

Number of days food will  last= 400/80

Number of days food will  last= 5 days

Hence, One bag of food will be enough for 5 days.

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Ava and Taha are staring up at a UFO. Ava is directly east of the UFO and Taha is directly west. Ava is 205 feet from the UFO and Taha is 195 feet from the UFO. Ava and Taha are 166 feet from each other. Find Ava's angle of elevation to the UFO in degrees.

Answers

Answer:

49.59°

Step-by-step explanation:

Using trigonometry, we can obtain AVA's angle of elevation to UFO

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 195 / 166

θ = tan⁻¹(195÷166)

= 49.59°

Prove

that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex]B =(-2,-1)[/tex]

[tex]U = (0,3)[/tex]

[tex]G = (3,2)[/tex]

[tex]S = (4,-3)[/tex]

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

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

For BU

[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{3 - -1}{0- -2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

For GS

[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{-3-2}{4-3}[/tex]

[tex]m = \frac{-5}{1}[/tex]

[tex]m = -5[/tex]

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{-3 - -1}{4- -2}[/tex]

[tex]m = \frac{-2}{6}[/tex]

[tex]m = -\frac{1}{3}[/tex]

For GU

[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{3-2}{0-3}[/tex]

[tex]m = \frac{1}{-3}[/tex]

[tex]m = -\frac{1}{3}[/tex]

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

What is the perimeter of the rectangle? L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwWmJyVDFqTFkzLXZ2RUFuT1lPWVJPbWl0N0JKUVhrVnZZbnVOQ19tOGgtNmwwQm12SkdMcDVnOU1aLWVoNUV6UURRcC1GZHFqTE42NWVMdGNsazl6Y0FPc0RaS1RDV0E5XzRCeW5RT3Z4MjRMLXdscy4wcUhHUHlaNlREN0dYWVAt?W=400&h=400 a 20 units b 18 units c 24 units d 22 units

Answers

Answer:

just do 400 times 400 witch is 1600

Step-by-step explanation:

5. A 50-inch piece of wire is bent into the shape of a rectangle. Find the dimensions of the rectangle
of maximum area that can be formed from the wire,

Answers

Answer:

length = 12.5 in, width = 12.5 in, Area = 156.25 in²

Step-by-step explanation:

To get the maximum area, the wire can be shaped into a square. We can say that the length and width of the rectangle must be equal to each other, and call this value "x".

Therefore, we can write an equation for the perimeter:

2x + 2x = 50 4x = 50 x = 12.5

The area of the rectangle is calculated using the formula:

A = lw

Or in our case, the area of the rectangle is the area of a square:

A = x²

Substitute x = 12.5 into this equation.

A = (12.5)² A = 156.25

The maximum area that can be formed from the wire is 156.25 in², and the dimensions of the rectangle are 12.5 x 12.5 in.

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