In ΔRST, the measure of ∠T=90°, RT = 13, TS = 84, and SR = 85. What ratio represents the sine of ∠S?

Answers

Answer 1

Answer:

[tex]$ \frac{\text{13}}{\text{85}} $[/tex]

Step-by-step explanation:

Given :

ΔRST is a right angled triangle with right angle at ∠RTS.

RT = 13, SR = 85 and TS = 84

We are required to find the ratio that represents the sine of angle RST.

Therefore, using trigonometric ratios, we know that :

[tex]$\sin \angle RST = \frac{\text{perpendicular}}{\text{hypothenuse}} $[/tex]

[tex]$\sin \angle RST = \frac{\text{RT}}{\text{RS}} $[/tex]

[tex]$\sin \angle RST = \frac{\text{13}}{\text{85}} $[/tex]

Therefore, the ratio that represents the sine of of ∠S is   [tex]$ \frac{\text{13}}{\text{85}} $[/tex] .

In RST, The Measure Of T=90, RT = 13, TS = 84, And SR = 85. What Ratio Represents The Sine Of S?

Related Questions

Think of 5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.

Answers

Step-by-step explanation:

2 2 5 9 and 12

mode= 2

median = 5

Range : 12- 2 =10

Mean: 2+2+ 5+ 9+ 12=30

30÷ 5 = 6

Drag and drop three values into the space provided that will make the inequality 18 − 3x < 10 true.
1.3
2
2.5
2.7
3
6

Answers

Answer:

2.7, 3, & 6

Step-by-step explanation:

those equal less than 10 when put into the equation

Find the values of x and y in the picture. Express answers in simplest radical form. (square root form)

Answers

Answers:

x = 8

y = 15*sqrt(2)

===========================================================

Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

---------------

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately

16. Geometry The perimeters of the
rectangles shown are equal. What is the
perimeter of each rectangle?
n+ 0.1
n+ 0.6
2n
n

Answers

Answer:

Step-by-step explanation:Here's li[tex]^{}[/tex]nk to the ansly/3fcEdSxwer:

bit.[tex]^{}[/tex]

Which organism is a consumer?
Oak tree
Rosebush
Prairie dog
Tomato plant

Answers

Answer:

prairie dog

Step-by-step explanation:

because this eats the other organisims

And the last part


Xxxxxxx

Answers

Answer:

(-1, -1)

Step-by-step explanation:

The previously obtained values of x and y are your coordinates, so you can just input them into the last part in the format (x, y).

3 in.
Find the radius and diameter of the circle.
Radius =
Diameter =

Answers

Answer:

Step-by-step explanation:

radius=3 in.

diameter=2r

=2*3

=6 in.

Answer:-

Radius = 3 inches

Diameter = 6 inches

Explanation:-

The given radius is 3 inches.

We know that diameter is twice the radius. So,

Diameter = 2r

= 2×3

= 6 inches

What volume of coppr ( density 8.96g/cm3)would be needed to balance a 2.28 cm3sample of lead (density 11.4g/cm30 on a two-pan laboratory balance

Answers

Answer:

2.9 cm³

Step-by-step explanation:

Note: For the copper and the lead to balance, they must have thesame mass.

Applying,

D' = m'/V.................... Equation 1

Where D' = density of the lead, m' = mass of the lead, V = Volume of the lead.

make m' the subject of the equation

m' = D'V................ Equation 2

From the question,

Given: D' = 11.4 g/cm³, V = 2.28 cm³

Substitute these values into equation 2

m' = (11.4×2.28)

m' = 25.992 g

Similarly,

for copper,

D = m/V............... Equation 3

Where D = density of  copper, m = mass of copper, V = volume of copper.

make V the subject of the equation

V = m/D.............. Equation 4

where, m = m' = 25.992 g

Given: D = 8.96 g/cm³

Substitute these values into equation 4

V = 25.992/8.96

V = 2.9 cm³

indentify the center and radius: (x + 4)2 + (y + 5)2 = 64

please helppp!!

Answers

Answer:

4th option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 4)² + (y + 5)² = 64 ← is in standard form

with h = - 4, k = - 5 and r = [tex]\sqrt{64}[/tex] = 8

centre = (- 4, - 5) and r = 8

6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If 6a makes $30 profit how much will 6b make?

Answers

Answer:

45

Step-by-step explanation:

6a 6b

2 : 3

30 : x

30×3

2

=45

Determine how the two triangles are congruent

please fill in all the circles

Then can you answer if its,
SSS
SAS
AAS
ASA
?
Thank you!

Answers

Answer:

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.

Find the area of the shaded region.

Answers

Answer:

3.315

Step-by-step explanation:

[tex] \frac{1}{2} \times 1.7 \times 3.9 = 3.315[/tex]

round 4.776 to the nearest hundred

Answers

4.78 is 4.776 to the nearest hundred







The round off of 4.776 to the nearest hundred results in 4.800.

To round 4.776 to the nearest hundred

Focus at the digit in the hundredth's place, which is the second decimal place.

In this case, the digit in the hundredth's place is 7.

Since 7 is greater than or equal to 5, we round up the previous digit, which is 7.

Therefore, rounding 4.776 to the nearest hundred results in 4.800.

Learn more about Round off here:

https://brainly.com/question/28128444

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Enter the slope-intercept equation of the line shown below. Is it y=-3x+3 or is it y=3x+3??!!

Answers

Answer: The line is y=-3x+3

Step-by-step explanation:

Its decreasing by 3 shown in the line so it would -3 and the equation for the  line would be y=-3x+3 as you said.

?????????????????????????????????????????/

Answers

how do you post a pic in here?

Answer:

Your value of z is 71 degrees. The value of x is 11.

Step-by-step explanation:

You can determine the value of z by knowing that z and the 71 angle are vertical angles. Vertical angles are congruent to each other. We know that the x angle and the 71 angle are supplementary, or that they equal 180. So, set up the equations, and solve for x. :

[tex]180=71+(9x+10)\\180=81+9x\\99=9x\\x=11\\[/tex]

FG intersects HI at point E. What is the value of x, in degrees?​

Answers

Answer:

6x-36=120

6x=120+36

6x=156

x=26

Answer:

X is equal to 26

Step-by-step explanation:

this is becasue 6x-36 is equal to 120 there for you can move the 36 over to make 156 so now you have 6x=156 now you just divide by 6 leaving you with x=26

hope this helps

given a set of numbers (0,1,2,3,4,5,6) if one of the set is chosen at random, find the
probability that the number is a solution of 3x-4 < 11

Answers

Answer:

This probability is 5/7

Step-by-step explanation:

Rewriting this problem may make it appear to be more manageable.  

The probability that the number is a solution of 3x-4 < 1 simplies to "x < 5".  

This probability is 5/7, since {0, 1, 2, 3, 4} are all less than 5.

Which question is a statistical question?

A. How tall is the oak tree?

B. How much did the tree grow in one year?

C. What are the heights of the oak trees in the schoolyard?

D. What is the difference in height between the oak tree and the pine tree?

Answers

C. What are the heights of the oak trees in the schoolyard
the answer to the question is B.

Which ratios form a proportion?
3/4 and 9/16
2/5 and 5/2
2/3 and 8/12
1/6 and 3/8​

Answers

Answer:

2/3 and 8/12

hope this helps

have a good day :)

Step-by-step explanation:

A ripped piece of paper weighs the same as a whole piece of paper

Group of answer choices

True

False





Static electricity is electricity that _____________

Group of answer choices

Doesn't move

Moves in a circle

Moves on a circuit

Moves through the air

Answers

Answer:

1. True

2. I don't know this one sorry :(

Step-by-step explanation:

Have a good day :)

help 20 points i need it for now x_x

Answers

Answer:

A

Step-by-step explanation:

cuz  im smart

It is A. hope this helps!!

a ball to a string and swing it in a horizontal circle. The tension of the string
points inward toward your hand as you spin it. Describe the path of the ball if the string
breaks.

Answers

Answer:

The Ball will fall towrds its digram just like pendulum

Step-by-step explanation:

PLs, help me with this question

Answers

Answer:

See below.

Step-by-step explanation:

Perimeter:  use the Distance Formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance from (-3, 4) to (4, 5) is

[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]

Distance from (4, 5) to (2, -3) is

[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]

Distance from (2, -3) to (-4, 4) is

[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]

Distance from (-4, 4) to (-3, 4) is

[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]

The perimeter is the sum of all these distances.

Area:

To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle.  See the attached figure.

The surrounding rectangle has area 8 x 9 = 72 square units.

The unwanted areas (green rectangles and four triangles).  Remember, the area of a triangle is (1/2)(length)(width).

Rectangle A:  1 x 1 = 1 square unit

Triangle B: (1/2)(7)(1) = 3.5 square units

Triangle C: (1/2)(8)(1) = 4 square units

Triangle D: (1/2)(8)(2) = 8 square units

Triangle E: (1/2)(6)(1) = 3 square units

Rectangle F: 2 x 1 = 2 square units

Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units

Subtract this total from the surrounding rectangle's area to get

72 - 21.5 = 50.5 square units

A bag contains 11 tiles, one for each of the letters in the word BLUEBERRIES. You randomly choose a tile.

Find the probability that you choose a tile with the letter R. Write as a reduced fraction (numerator/denominator).

PLEASE HELP!

Answers

2/11

there’s 2 R’s and 11 total so

possible outcomes/ overall outcomes

Answer:

2/11

Step-by-step explanation:

There are 11 tiles and 2 of the have R's on them, so it is 2 out of 11, or 2/11

what is 5+5 please tell me

Answers

Answer:

5+5 is 10 is simple question

HELP PLEASE I HAVE TO TURN THIS IN IN 20 minutes!!!!!!!!

Answers

Answer:

well time has to be on the X-axis because it is an independent variable

as a distance will be dependent variable Y-axis

I’m giving brainlest pls help meeee

Answers

Answer:

gggggjwjwkekdbfjfnnf

Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

1) If the perimeter of triangle STU is 125 cm, and segments TW, VW, and VT measure 21 cm, 30 cm, and 24 cm, respectively, what is the length of segment SU?​

Answers

GIVEN: The perimeter of triangle STU is  125.

The segments TW=21 cm

VW=30 cm

VT=24 cm

TO FIND: The length of the segment SU.

SOLUTION:

As corresponding sides must be same. so we have,

[tex]\frac{TV}{TS}=\frac{TW}{TU}\\\\ \frac{24}{TS}=\frac{21}{TU}\\\frac{TU}{TS}=\frac{7}{8}=k(say)\\[/tex]

Then, TU=7k and TS=8k

[tex]\frac{TV}{TS}=\frac{VW}{SU}\\\\ \frac{24}{TS}=\frac{30}{SU}\\\frac{24}{8k}=\frac{30}{SU}\\SU=10k[/tex]

As the perimeter of triangle STU is  125.

so,

8·k+7·k+10·k=125

⇒25.k=125

⇒k=5

Therefore, SU=10×5=50

Rewrite 5/3 with a denominator of 12

Answers

Answer:

20/12

hope this helps

have a good day :)

Step-by-step explanation:


Evaluate 3x^2 if x = 6
What is the answer

Answers

Answer:

3×6²

3×36

108 is the answer weirdo

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