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

What is the value of X?

Answers

Answer:

16

Step-by-step explanation:

AB = BC    

32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]

30 Points I NEED HELP ASAP MATH PROBLEM 7th Grade

Answers

Answer:

-45 =x

Step-by-step explanation:

1/5(4x-2.5) = 5(.4x+10) +3 1/2

Change all to decimal form

.2(4x-2.5) = 5(.4x+10) +3.5

Distribute

.8x - .5 = 2x +50 + 3.5

Combine like terms

.8x - .5 = 2x +53.5

Subtract .8x from each side

.8x-.8x - .5 = 2x-.8x +53.5

-.5 = 1.2x +53.5

Subtract 53.5 from each side

-.5 -53.5 = 1.2x +53.5-53.5

-54 = 1.2x

Divide each side by 1.2

-54/1.2 = 1.2x /1.2

-45 =x

Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?

Answers

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given

There are 9 chips numbered 1 to 9 placed in a box

Margie selected one chip from the box

If the chip is multiple of 3 then the chip can be 3, 6, or 9

So, the probability associated with this is

[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]

Which number sentence can be solved using this multiplication fact?

Answers

Answer:

The girl bought 5 apples, how many apples does she have after 6 times

(Did you mean to put as the multiplication fact 5x6=30?) sorry if I'm wrong

Step-by-step explanation:

Hope this helps.

Please mark Brainliest!

2.
Which of the quadratic functions has the narrowest graph?


A. [tex]y=\frac{1}{8}x^2[/tex]

B. [tex]y=\frac{1}{3}x^2[/tex]

C. y = –2x2

D. y = –3x2

Answers

Answer:

D. y = –3x2

Step-by-step explanation:

Answer:

y = -3x^2

Step-by-step explanation:

A quadratic function has a leading coefficient which determines its width. When |a| < 1 the graph is wider. When |a| > 1 the graph is narrower. This means y = -3x^2 is the narrowest graph since 3 is the greatest.

Answer:

[tex]C)~y=-3x^2[/tex]

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

hope it helps...

have a great day!!

Help me with this please​

Answers

Answer : 1.05 . Hope I helped have a good day :)

Can someone help me please

Answers

We can barely see it

it's sideways take a better pic

B = P + Prz solve for r

Answers

Answer:

(B-P) / Pz  = r

Step-by-step explanation:

B = P + Prz

Subtract P from each side

B-P = P -PPrz

B-P = Prz

Divide each side by Pz

(B-P) / Pr  = Prz/Pz

(B-P) / Pz  = r

Candy is creating balloon arrangements for a party . She has 32 red balloons , 24 white balloons and 16 orange balloons. She wants to make each arrangement with the same number of balloons for each colour . What Is the greatest number of arrangements that can be made by her if each balloon is used ?

Answers

Answer:

16

Step-by-step explanation:

8 arrangements (8 is the GCF of 32, 24 and 16)

Each arrangement would contain 4 red, 3 white and 2 orange balloons.

Tiffany withdrew $20 on fourteen different occasions from her bank account. After the fourteen transactions, what integer represents the change to her bank account balance?

Answers

Answer:

$-280

Step-by-step explanation:

Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.

total change in balance = 20 x 14 = 280

because it is a withdrawal, a negative sign would be attached

Answer: -280

Step-by-step explanation:


Solve the rational equation:
9/x + 1/4 =2/x

Answers

Answer:

D, x=-28

Step-by-step explanation:

Answer:

[tex]x=-28[/tex]

Step-by-step explanation:

[tex]\frac{9}{x} +\frac{1}{4} =\frac{2}{x}\\[/tex]

Move [tex]\frac{9}{x}[/tex] over the equal sign

[tex]\frac{1}{4} =\frac{2}{x} -\frac{9}{x}[/tex]

[tex]\frac{1}{4} =\frac{-7}{x}[/tex]

Cross multiply

[tex]4*-7/x[/tex]

[tex]\frac{-28}{x}[/tex]

[tex]x=-28[/tex]

Hope this is helpful

Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}

Answers

Step-by-step explanation:

Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}


A cylinder has a radius of 6 m and a height of 11 m.



What is the approximate surface area of the cylinder

Answers

Answer:

https://www.calculatorsoup.com/calculators/geometry-solids/

use that webiste it will answer your problem

Step-by-step explanation:

Answer: 640.6m^2

Step-by-step explanation:

What is the solution to the equation. |x- 4| = 17?
A. x= -13 or x= 21
B. x= 21
c. x= -21 or x= 13
D. No solutions exist.

Answers

A, x=-13 or x=21.

-13 - 4 (-13+ -4) is equal to -17. Due to absolute value bars, it is now positive 17.

21-4 = 17
Answer: C. x = -21 or x = 13

Step-by-step explanation:

Assume the selling price of your house calculate the
commission amount of your house if the commission rate
is 5•/•​

Answers

Answer:

$14000

Step-by-step explanation:

Given that :

Commission 5% of sale price

Sale price of house = $280,000

Commission = 5% of $280,000

Hence,

Commission = 0.05 * $280,000

Commission = $14,000

What percent of 3/4 is 3/8 ? (Round to the nearest whole percent)

Answers

I think the answer is 2 percent

hope this is answer

someone pls help me

Answers

1.69
Because if think about the base and the area
You will understand

Hamdan bought a TV for 40000 and sold it for 32000. What is the profit/loss percentage

Answers

Answer:

20% loss

Step-by-step explanation:

(32000-40000)/40000 * 100 = -20%

Answer:

Step-by-step explanation:

CP of a TV=40000

Sp of a TV=32000

here CP is greater than Sp so there is loss

loss=CP-SP

=40000-32000

=8000

loss%=loss amount/cp*100%

=8000/40000*100

=800000/40000

=20%

An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?

Answers

Answer:8x5x3.4= 132 feet squared

Step-by-step explanation:

Suppose you have budgeted for 3 expenditures, $100, $150 and $50. However the amount that you have spent is $95, $175 and $20. Did you spend more or less than what was budgeted? By how much? (Show Your Work)

Answers

Answer:

Spent less than budget by $10

Step-by-step explanation:

→ Work out total budget

100 + 150 + 50 = 300

→ Work out total expenditure

95 + 175 + 20 = 290

In a scale drawing of a house, 1/2 inch = 1 1/2 feet. If the length of a kitchen is 5 1/2 inches on a scale drawing, what is the actual length of the kitchen?

Answers

Answer:

16 1/2 feet

Step-by-step explanation:

The above question is calculated as:

1/2 inch = 1 1/2 feet.

5 1/2 inches = x

Cross Multiply

1/2 inch × x = 5 1/2 inch × 1 1/2 feet

x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch

x = 11/2 × 3/2 ÷ 1/2

x = 11/2 × 3/2 × 2/1

x = 33/2 feet

x = 16 1/2 feet

Therefore, the actual length of the kitchen is 16 1/2 feet

The dot plot shows how many cats are owned by each person in a neighborhood: Dot plot titled Neighborhood Cats and labeled Number of Cats shows number line from 1 to 10. There are 6 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, 0 dots over 5, 6, 7, 8, and 9, and 1 dot over 10. Is the median or the mean a better measure of center for these data and why

Answers

Answer:

Median, because the data are skewed and there is an outlier

Step-by-step explanation:

yo hoped it helped

What are the coordinates of the point on the directed line segment from (-3, -2) to (4, 8) that partitions the segment into a ratio of 3:2?

Answers

Answer:

Since the ratio is 3:2, you will need to find the x and y coordinates that are 3/5 of the way between (-8,2) and (7,-3)

For the x-coordinate, find the distance between x coordinates (7--8) = 15, take 3/5 of that = 9 and add that to the first x coordinate (-8) to get the x-coordinate of interest (1).

For the y-coordinate, find the distance between y coordinates (-3-2) = -5 take 3/5 of that = -3 and add that to the first y coordinate (2) to get the y-coordinate of interest (-1

So the coordinate of the point is (-2,6)

Step-by-step explanation:

someone help me it's due today

Answers

Answer:

y=2x+6

Step-by-step explanation:

y=2x+6 you are welcome!!

Find the value of x
I give you 10 points if you help

Answers

Step-by-step explanation:

x = 55

I hope this is helpful

If −15 + 3x = −7 + 5x, then 6x =_____?

Answers

Answer:

-15+3x=-7+5x

-15+7=5x-3x

-8=2x

-8/2=x

-4=x

6x=6*-4

=-24

Step-by-step explanation:

Answer:

[tex] - 15 + 3x = - 7 + 5x \\ 3x - 5x = - 7 + 15 \\ - 2x = + 8 \\ - x = 4 \\ x = - 4 \\ therefore = \\ 6x = 6 \times ( - 4) \\ 6x = - 24 \\ i \: hope \: this \: was \: helpful[/tex]

Graph the system of​ equations, and determine the solution.
x+5y=5
2x+10y=60

Answers

Step-by-step explanation:

the systems have no solution

the lines are parallel each other

graph as attached

Sally's math grade average went from an 84 to a 98. What was the percent of increase in her grade average?
A. 14% B. 14 2/7% C. 16 2/3% D. 22%
Please answer with clear explanation not just the answer please

Answers

Answer:

98 - 84 = 14(this is the change) now we convert this to a percent

14/1 x 100/100 = 14%

PLEASE HELP!!! find the value of x. if necessary, write your answer in simplest radical form

Answers

Answer:

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

8^2+x^2=12^2

64+x^2=144

x^2=80

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

using Pythagorean theorema²+b²=c²

12 hypotenuse and let us say 8 is the 'a'

=> 8²+x²=12²

=>64+x²=144

=>x²=144–64

=>√x²=√80

=>x=4√5

Which of the following is the graph of the inequality y < 3x+ 1?
А
B
C
D
5
To (1.4)
(1.4)
(1.4)
5
(1.4)
(0.1)
(0.1)
€ (0, 1)
(0, 1)
-6
5
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

D is the correct graph.
Testing (1, 4) which on the line. 4 = 3x1 + 1 is true so the line is solid.
Testing (0, 0) which is below the line. 0 = 3x0 + 1 is true so the origin must be in the shaded region.
Other Questions
Lilly went shopping with her mother. She took $48.95 with her to spend. She spent $23.57 at one store. How much money did she have left? Thank you for anyone who knows this PLEASE HELP Write a shopping list in Spanish for the food items you would need to make your favorite food. Be sure to include the amounts you need, as well as the type of packaging for each item Feeling cool today, heres a math riddle! My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house? I need help is it A B C or D Answer fast please 1.Tom has a badge collection. He buys more so that his collection increases by 35%.He originally had 20 badges. How many badges does he have now?7% Please HELP ME ASAP quick The National Income and Product Accounts simultaneously provide data on: (a) production and efficiency; (b) technological progress and product improvements; (c) total output and the income derived from its production; (d) slugging percentage and on-base percentage. which of the following is not a storage medium?a.microphoneb.floppy diskc.hard diskd.pen drive When fuels are burned, the chemical energy that is released can be used to generate another form of energy, such as heat, light,motion,or electricity. This is called When one glucose molecule travels through the glycolysis processes, four molecules of ATP are generated. Is it accurate to suggest that glycolysis produces two ATP molecules? Which of the following was the u.s government allowed to do under the articles of confederation use the least common denominator to enter an equivalent fraction for each fraction 1/7, 1/8 The least common denominator of the fraction is ___ 1/7= 1/8= Nom Chanel ISO acclasse Pericas Date S-27-21 VOCABULAIRE 1 CHAPITRE 7 4 Remets cette conversation entre la vendeuse (saleswoman) et la cliente dans le bon ordre. 1 Non. Il ne porte jamais de cravate. Bonjour, mademoiselle. Je peux vous aider? Il est joli, ce pull. Vous l'avez en 40? C'est combien le pull? Bien sr, mademoiselle. Qu'est-ce que vous pensez de ce pull en laine noir? Oui, je cherche quelque chose pour mon grand-pre. Oui, c'est parfait! Je le prends. Une cravate peut-tre (maybe)? [11] C'est 80 euros. Vous aimez? et le tissu (fabric) des Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 worth of popcorn today. Which inequality can be used to find the number of bags of popcorn, p, Jeff still needs to sell today to make a profit?A- 3p - 36_>120B- 3(p+36) _>120C- 3p - 12_>120D- 3p + 36 _> 120PLEASE ANSWER QUICKLY! 10 POINTS!!! on March 1, Tessa Obato deposited a check for $9,364.85 in a savings account at state bank. The account pays 4% interest calculated on a daily basis. five days later, on March 6, she withdrew $1,000.00. on March 18, 12 days later, she withdrew $2,000.00. On March 28, 10 days later, she withdrew another $2,000.00. three days later, on March 31, the bank computed interest. how much simple interest did her money earn? Which small country has been attacked in several wars by over 10 Muslim nations since the end of WWII? Mr kacanich was baking a chocolate cake. The recipe called for 3/4 cup of unsweetened cocoa powder, but after he started mixing ingredients, he relized he didn't have enough. If mr kacanich borrowed 1/4 cup from the neighbor, how much of his own cocoa powder did he have? On a blueprint, a rectangular room 15 ft by 14 ft has a semicircular sitting area attached with a diameter of 14 ft.What is the total area of the room and the sitting area?Use 3.14 for a15 ft14 ftsquare feetPls help asap If the amount of food or resources available increases, the carrying capacity of the animal would ?