In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.

Answers

Answer 1

Answer:

1843:6754.9709254546.,657675

Step-by-step explanation:

Answer 2

The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°

What is the law of sines?

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔRST

Now , the measure of s = 620 cm

The measure of side r = 210 cm

And , the measure of angle m∠R = 17°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin ( 17 )° / 210 = sin ( S ) / 620

Multiply by 620 on both sides , we get

sin ( S ) = ( 620 / 210 ) x 0.2923717

On further simplification , we get

sin S = 0.86319265203

Taking inverse on both sides , we get

S = sin⁻¹ ( 0.86319265203 )

S = 59.68°

S = 59.7°

Therefore , the value of S is 59.7°

Hence , the measure of angle m∠S = 59.7°

To learn more about law of sines click :

https://brainly.com/question/13098194

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Related Questions

(help pls)
1. what is the probability of an event if event will never happen?
a. 0
b. 1
c. ½
d. ¼
2. which of the following can be the probability of an event?
a. -0.4
b. 1.004
c. 18 over 23
d. 10 over 7​

Answers

Answer:

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

➳ 0.

➳ 18 over 23.

Answer:

0 is the correct answer if you won't understand than contact me

In the isosceles trapezoid below,
x = [? ]°
5x-20°
2x+37°

Answers

Answer:

x = 19

Step-by-step explanation:

The lower base angles in an isosceles trapezoid are congruent , then

5x - 20 = 2x + 37 ( subtract 2x from both sides )

3x - 20 = 37 ( add 20 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

Determine if the following triangles are right triangles. Prove your answers using the
Pythagorean Theorem.

12 ft
7 ft
10 ft

Please help

Answers

Answer:

not a right triangle

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 and 12² = 144

7² + 10² = 49 + 100 = 149 ≠ 144

Then triangle is not right

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school. How many children in Eric's school have red hair?​

Answers

Answer:

35

Step-by-step explanation:

525/75=7x5=35

The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.

What are ratio and proportion?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.

Then the number of the children in Eric's school who has red hair will be

Let x be the number of the children. Then we have

[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

What is the geometric mean of 18 and 49

Answers

Step-by-step explanation:

Geometric mean =√18×49√88229.69

hope it helps.

Answer:

Below

Step-by-step explanation:

√(18*49)

= √882

= 29.70 to nearest hundredth.

Alyssa was out at a restaurant for dinner when the bill came. Her dinner came to $25
She wanted to leave a 27% tip. How much was her meal plus the tip, before tax, in
dollars and cents?

Answers

$31.76 because .27 x 25= 31.76

The slope of the line that passes through the points (-24, m) and (12,11) is 1/12. What is the value of m?

NO LINK​

Answers

Answer:

Find the Slope = y2 - y1 / x2 - x1

 = 6 - 2 / 12 - -4

 = 4/16  

= 1/4  This is the slope, m.

2) Now, plug m and one point into: y - y1 = m (x - x1)

  y - 6 = 1/4 (x - 12)  Distribute the 1/4

 y - 6 = 1/4 * x - 3  Solve for y

y = 1/4*x - 3 + 6

y = 1/4*x + 3

Step-by-step explanation:

brainliest please?

The value of m for a line that passes through  (-24, m) and (12,11) and have a slope of 1 / 12 is  8.

What ia a slope?

The slope of a line is a measure of its steepness. The slope is rise divided by the run.

Therefore,

(-24, m)(12, 11)

slope = m = 1 / 12

slope = y₂ - y₁ / x₂ - x₁

Therefore,

x₁ = -24

x₂ = 12

y₁ = m

y₂ = 11

1 / 12 = 11 - m / 12 + 24

1 / 12 = 11 - m / 36

cross multiply

36 = 12(11 - m)

36 = 132 - 12m

36 - 132 = -12m

-96 = -12m

m = 96 / 12

m = 8

learn more on slope here:https://brainly.com/question/13929101

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
5x^2-57x=3x-120

Answers

Answer:

x=6+2√3 or x=6−2√3

Step-by-step explanation:

Let's solve your equation step-by-step by using completing the square.    

5x^2−57x=3x−120

Step 1: Subtract 3x from both sides.

5x^2−57x−3x=3x−120−3x

5x^2−60x=−120

Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.

5x2−60x/5 = −120 /5

x2−12x=−24

Step 3: The coefficient of -12x is -12. Let b=-12.

Then we need to add (b/2)^2=36 to both sides to complete the square.

Add 36 to both sides.

x2−12x+36=−24+36

x2−12x+36=12

Step 4: Factor left side.

(x−6)2=12

Step 5: Take square root.

x−6=±√12

Step 6: Add 6 to both sides.

x−6+6=6±√12

x=6±√12

x=6+2√3 or x=6−2√3

The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78

Find the MEAN of the temperatures. Round to the nearest tenths place.

A. 82.3

B. 89

C. 83

D. 78

Answers

Answer: A) 82.3

Step-by-step explanation:

Mean= average

To find mean, you add up all the numbers and divide by the number of numbers.

In this case you do:

(81+78+83+89+80+87+78) ÷ 7

81+78+83+89+80+87+78

=576

Now, divided by 7

576 ÷ 7

= 82.2857142857

Round to nearest tenths place

= 82.3


solve for n: 3 x n = 2 x 9

Answers

Answer:

n = 6

Step-by-step explanation:

3 x n = 2 x 9

2 x 9 = 18

3 x n = 18

divide by 3 on both sides:

n = 6

hope this helped :)

\greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{11\,\text{cm}}11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.
What is the area of the shaded region

Answers

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

Answer:

397.39

Step-by-step explanation:

hereeeeeee plsssssss answeeeeerrrr im desperateeeee wil give brainliest plus 25 points!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

second one

Step-by-step explanation:

look at the lines. the first line is at the 58 mark.

next one is at the 70, then 78, 86, and 96.

o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл​

Answers

Answer:

3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.

6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?

A. 80 hours

B. 900 hours

C. about 1.78 hours

D. 2.25 hours

Answers

Answer:

C. about 1.78 hours

Step-by-step explanation:

Answer:

1.78 hours

Step-by-step explanation:

If t varies inversely with the speed, the formula for that is  t= \frac{k}{r} .  If t = 2 and r = 40, then we can solve for k, the constant of variation.  Multiply both sides by 40 to get  k = 80.  Now we need to find the value for t when r = 45.  Using the k value we just solved for, we will fill in the equation as  t= \frac{80}{45}   for a t value of about 1.78 hours

...............................................................................................................................................

Answer: about 1.78 hours

...............................................................................................................................................

t = k/r

2 = k/67

k = 134 (which happens to be the distance)

t = 134/r

t = 134/55

t = 2.436 hours

...............................................................................................................................................

The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours

...............................................................................................................................................

t = k/r\

4 hours and 35 miles per hour,

we find that k = 140.

Now use that 140 in another equation to solve for t:

t = 140/45, and

t = 3.1 hours

NO LINKS plz help
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

14.4

Step-by-step explanation:

16^2 - 7^2 = root of 207

2+2=4 got it right took the test.

Answers

Answer:

Good for you

Step-by-step explanation:

P , Q, R and S are four points on a circle

Answers

Answer:

Yes

Step-by-step explanation:

it is because they meet together

pls help me answer this question

Answers

Answer:

c

Step-by-step explanation:

10*10=100

100-78.54=21.46

so rounded answer is c or 21.5

goodluck on your test

Answer: Hello Luv......

C. 21.5

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

54 as a fraction of ____ is equivalent to 9/10

Answers

Answer:

54 as a fraction of 60 is equivalent to 9/10

Step-by-step explanation:

54/x = 9/10

54 * 10 = x * 9

6*9 * 10 = x * 9

6 * 10 = x

x = 60

210 is what percent of 500?

Answers

Answer:

42

hope this answer helps you!

The answer is 42

Explanation:

Step 1: We make the assumption that 500 is 100% since it is our output value.

Step 2: We next represent the value we seek with X.

Step 3: From step 1, it follows that 100%= 500.

Step 4: In the same vein, X%= 210.

Step 5: This gives us a pair of simple equations:

100%= 500(1)
X%=210(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

100%/X%= 500/210

Step 7: Taking the inverse (or reciprocal) of sides yields
X%/100= 210/500
X= 42%

A company charges a shipping fee that is 4.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $70? Round to the nearest cent (hundredths place).

Answers

Answer:

3.15 cents

Step-by-step explanation:

So, lets go over all the information we know.

First off, we know that the cost of the item is 70 dollars.

Secondly, we know that the fee is 4.5% of 70 dollars.

Now, what is 4.5%?

Well, we know that 100% is qual to 1.

So lets divide 4.5 by 100, which is just moving the decimal point back by 2:

0.045

Now, the last thing to do is multiply 0.045 by 70.

0.045x70

=

3.15

So now we know the fee for a 70 dollar item is 3.15 dollars!

Hope this helps ;)

In the triangle below, find the measurements of the unknown angles. A. 75º, 105° B. 40°, 80 c. 5° 10° D. 250 50 E. 35°, 70​

Answers

Answer:

A=35

Step-by-step explanation:

180-75=105, 105÷3=35, 35×2=70, 35+70+75=180

18. Is this figure a polygon? Explain.

Answers

Answer:

no

Step-by-step explanation:

A polygon is a flat, two-dimensional shape with straight sides that is fully closed.The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.

pedro tenia 80.000 y gasto el 25% ¿cuanto dinero le queda?

Answers

A Pedro le queda 60,000

2. The dimensions of a rectangle are its length and width. For example, the enclosure for 2 monkeys is 36 square feet and could have five different dimensions: , , , , and . The enclosure that holds 6 monkeys has 6 possible sets of dimensions. List all six sets of dimensions for six monkeys.

Answers

Answer:1

Which of the following functions has a line of symmetry of x = 2?

Step-by-step explanation:

Are these two angles complementary, supplementary, or neither? NEED HELP ASAP


A Complementary Angles

B Supplementary Angles

C Neither

Answers

Answer:

A Complementary Angles

Step-by-step explanation:

Which expressions are differences of squares?

Select each correct answer.

Answers

Answer:

First two are difference in squares.

81=9^2 225=15^2

Answer:

The expression which denotes the differences of squares is

n² - 225

As here 225 is a square of 15.

Hope it will help :)❤

U + 3 = 7 step by step explanation

Answers

U + 3 = 7
-3 -3

(7-3=4)

U=4
u = 4
3-3=0
take it to the other side and 7-3=4

Do Whole numbers include negative numbers? Please help, thanks!

Answers

Answer:

negative numbers aren't whole numbers but they are considered to be integers

Answer:Whole numbers don't include negative numbers, fractions, or decimals.

Step-by-step explanation:

depends please comment give more ifnomation on what you are saying if you dont understand

Graph y=2x^2 please help

Answers

Answer:

there you go

Step-by-step explanation:

Here you go I hope this is correct
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