The hypotenuse of a 30 -60 -90 triangle is 13cm. What is the length of the shorter leg?

Answers

Answer 1

Answer:

(13/2) cm

Step-by-step explanation:

The hypotenuse here is of length 13 cm. The shorter leg lies opposite to the 30° angle. Recall that the sine function is defined as

opposite side

sin Ф = -----------------------

hypotenuse

which, in this case, works out to:

opposite side

sin 30° = -----------------------

13 cm

and so the length of the opposite side (which is also the "shorter leg") is

shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm

Related Questions

Multiply
7x(x^2-x+2)

Answers

Answer:

7x^3-7x^2+14x

Step-by-step explanation: hope I helped

what is the 4 one pls help

Answers

Answer:

where are the shapes?

Step-by-step explanation:

Answer:

I think it is 2.5 cm.

Step-by-step explanation:

PLEASE HELP ASAP I NEED THIS DONE BY TODAY. ILL GIVE YOU AN ADDITIONAL 50 points. You have to split the shape into two triangles and a rectangle and then add the sums of the areas. HELPPPPPPPPPPPPPPPPPPPPPPPP!!!

Answers

It’s 108 that’s the correct answer

The diagram shows a cuboid.
8 cm
15 cm
20 cm
What is the volume of the cuboid?

Answers

Answer:

mdndmdkdkdkdkd

Step-by-step explanation:

kdkdkdjfjfk

The answer is 2400 cm^3

You just need to multiply the dimensions.

A fair con is tossed 80 times in an experiment. If the coin is fair, what would be a reasonable number of times tails should appear
based on your knowledge of the theoretical probability of this event?

Answers

Answer: 40 would be a reasonable number of times tails should appear if the coin is fair. Fair means 50/50 chance.

So, divide 80 by 2. 80/2 = 40.

3. You are saving money to buy a new bike that costs $360. You
already have $85 and can earn $12 per hour at work. Write
and solve an equation to find how many hours, h, you need to
work to earn enough money to buy the new bike.

Answers

Answer:

Step-by-step explanation:360-85=275, 275 divided by 12.

HELP ME PLEASE MATH MATH HELP ASAP ASAP ASAP ASAP ASAP HELP PLEASE PLEASE PLEASE HELP HELP HELP ASAP PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP HELP MATH MATH MATH MATH

Answers

Part D: x= -b/2a

(-1/3, -4/3)

im sorry if this is wrong ;'(

Answer:D

Step-by-step explanation:

D will go with each funcuation.

1.Find the next three terms in the sequence. -2 , -5 , -8, -11 , ...

2. Find the 100th term.

Please show the working.

Answers

the next 3 terms would be: -14, -17, and -20 (the pattern is your -3 each time) the 100th term would be -279 i think because there is 93 spots left after the first 7 terms, so 93 x -3 = -279

can someone help with this question please? (no links!!)

Answers

Answer:

Step-by-step explanation:

radius is half of it so 7 times 2= 14 and then multiply by 3.14.

So 43.96

4(−3x+8)=−16 Which value is the solution to the equation below?

Answers

Answer:

I'm 99.9% sure that x=4

Step-by-step explanation:

The answer is X=4 explanation in picture

I need help me please and ASAP!!!!!

Answers

Answer:

C D

Step-by-step explanation:

K/2 simply means k divided by 2. 1/2K also means divided by 2

Answer:C and DHope this helps!! ♥︎

HELP ME ON GEOMETRY!!! PLZ
NO LINKS! > i will report.

Answers

Answer

I believe B.)8in3 is the right answer according to the square-cube law.

Step-by-step explanation:

What is the distance between (-1,3) and (4,2)

Answers

Answer: 6

Step-by-step explanation:

Find the value of |5| - 4(3 to the second power - 2).

Answers

Answer:

4.55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the measure of each numbered angle on this Triangle.

Answers

Answer:

m<1 = 69

m<2 = 37

m<3 = 106

m<4 = 21

Step-by-step explanation:

Jose is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Jose need to invest, to the nearest cent, for the value of the account to reach $152,000 in 9 years?

Answers

Answer:

P≈ 87784.11

Step-by-step explanation:

i don't know, I saw the solution on Delta Math

What is the circumference of a circle whose radius is 1.3 cm? Find the circumference using the formula C=2πr

Answers

Answer:

C≈8.17cm

Step-by-step explanation:

C=2πr=2·π·1.3≈8.16814cm

La suma de las edades de Pedro y su hijo son 84 años. Hace 6 años la edad de Pedro era 3 veces la edad de su hijo.
¿Qué edad tiene el hijo actualmente?
a) 34 años
b) 29 años
c) 24 años
d) 19 años

Es una pregunta de un examen en la que me quede estancado porque me da 32 o otra forma me da 30 pero ninguna es la opcion

Answers

Answer: 24 years old

please help me outt

Answers

Answer:

see explanation

Step-by-step explanation:

The scientific notation is 3.212 · 10^8

in rst, the measure of t=90°, the measure of r=9°, and tr=2.7 feet. find the length of st to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation:

hjjh[tex]\leq[/tex]

Answer:

Step-by-step explanation:

2.7

2.7 9=x

Cross multiply.

x=0.4276

x=0.4276≈0.4 feet

help me fast for extra points

Answers

Answer:

EKH and FKG

Step-by-step explanation:

vertical angles are angles that are directly vertical from each other.

Answer:

Step-by-step explanation:

EKH AND FKG THEY ARE VERTICLE (SAME ANGLES)

A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map, in inches?

Answers

Answer:

Step-by-step explanation:

12÷4=3, so they are 3 inches apart

3 inches
jejsisbuehsuabsibsuababsieb

What is the slope of points (2,-15) and (-3,10).

Answers

Answer:

m = 5

Step-by-step explanation:

I believe you are asking, "What is the slope of the line passing through the points (2, -15) and (-3, 10)?"

As we go from (-3, 10) to (2, -15), x (the horizontal leg of a right triangle) increases by 5 (this is the 'run'), and y (the vertical leg) increases by 25 (the 'rise'). Thus, the slope of this line is

m = rise / run = 25/5, or just 5. m = 5

5. What is the inverse function of

Answers

Answer:

i think that it is. C.

i think it will help

I also think it’s C
Hope that helps!

In the compound interest equation, A(x)= 500(1.07)x, what does the 500 represent?

The starting value

the growth factor

the amount in the account after x years

the annual rate of interest

Answers

Answer:

The starting value.

Step-by-step explanation:

In the compound interest equation A(x)= 500(1.07)x, 500 represents the initial balance, or the starting value.

a quantity of y varies partly as x and partly as the square of x. when x=2 ,y=14 and when x=5, y=65. Find y when x=-2

Answers

X\times 2 bc it is correct I think I’m not sure but yeah

Find the area in the pic please!!

Answers

Answer:

Area = 970 ft²

Step-by-step explanation:

The shape is composed of a square and a triangle.

Therefore:

Area of the shape = area of square + area of triangle

✔️Area of square = s²

s = 20 ft

Area = 20²

Area of square = 400 ft²

✔️Area of triangle = ½*b*h

b = 20 + 9 + 9 = 38 ft

h = 30 ft

Area of triangle = ½*38*30 = 570 ft²

✅Area of the shape = 400 + 570 = 970 ft²

If the Math Olympiad Club consists of 15 students, how many different teams of 3 students can be formed for competitions?

Answers

Answer:

5 teams

15÷3=5

Have a great day

Answer:

5 teams

Step-by-step explanation:

There are 15 students, and 3 students per team. Divide 15/3 and you get 5.

(3x^4=2x+1)-(2x^4-3x+5)

Answers

Multiply to remove the fraction, then set equal to
0
0
and solve.
Exact Form:
x
=
17
19
x
=
17
19
Decimal Form:
x
=
0.89473684
…
x
=
0.89473684

The perimeter of a rectangle is 26 inches. If the length of the rectangle is 6 inches, find the width.

Answers

Answer:

7 inches

Step-by-step explanation:

The perimeter of a rectangle = 2 x ( length + breadth)

26 = 2 x (6 + breadth)

Divide both sides of the equation by 2

26/2 = 6 + width

13 = 6 + width

Collect like terms

13 - 6 = width

width = 7 inches

Other Questions

Pretty please help me!!!Look at the meaning of "form" in the chart. Which clue helps you understand what "form" means?A. TreesB. SpotC. KindD. Looks listen to cooties by melanie martinez and tell me what u think slope of the line that passes through the points Help me pleaseeeee!! PLEASE HELP, WILL GIVE BRAINLIEST!!!!!!!! PLEASE HELP!Consider the fact that cancer is most easily defected when it is found early, and then consider the time and expense involved in diagnosing a potential case of cancer. Olivia and Jamie sharesweets in the ratio 3: 7. IfOlivia gets 27 how manysweets does Jamie get? PLEASE HELP ME!20 points and brainlist. 75% of the students in chemistry have had algebra. If there are 300 students in chemistry, how many of them have not had algebra? Elena has been hired by the mayor of a busy city to evaluate the latest crime statistics. He tells Elena that the city has seen a rise in violent crime, and he would like to know if there is a reason or pattern to it. What title would MOST likely describe Elenas profession?A. criminologistB. criminalistC. criminal justice professionalD. jurist What does "Uninsured Motorist Bodily Injury" typically cover 50 POINTS QUICK Mary is three times as old as her son . In 12 years Mary will be twice as old as her son. How old is each of them now? use the calculate in above to find the ratio of the following SIN BAD Can you help me? (BRAINLIEST IF CORREECT! and please dont guess this is important :D)The Invasion of the LionfishWhat was once just an attractive aquarium fish has recently become one of the biggest menaces in the Atlantic. The lionfish was accidentally introduced into the Atlantic Ocean in the 1990s. Because it has no natural predators, it has adapted quickly to its new home. The lionfish now threatens to destroy native fish populations in the Atlantic, Caribbean, and Gulf of Mexico.The lionfish spreads quite rapidly. Lionfish spread faster than any other invading species. Experts have called the invasion in the Atlantic the worst marine invasion of all time. The lionfish's success comes from an ability to reproduce all year round. In addition, they are greedy eaters with a fondness for small fish and crustaceans. They will eat anything smaller than they are. Lionfish love the warm waters of the Gulf of Mexico. Since their first sighting, they have rapidly multiplied. In some locations, scientists estimate that lionfish populations exploded by 700 percent between 2004 and 2008 alone.To combat the invasion, wildlife agencies have sponsored lionfish derbies. In these derbies, local scuba divers are invited to harvest lionfish. In addition, many states offer recipes for preparing and eating lionfish to encourage harvesting. Lionfish have to be handled carefully because of their venomous spines, but they are apparently delicious. Increasing the harvest of lionfish will help. However, scientists estimate that more than a quarter of the population would have to be taken every month to stop the growing population.The lionfish has targeted our most fragile and important ecosystems. Scientists are working tirelessly to learn as much as they can about this predator. We may never be able to completely remove the threat, but many fishermen and seafood fans are hoping we can figure out how to control it.Work CitedWilcox, Christie. "The Worst Marine Invasion Ever." Slate. July 1, 2013.http://goo.gl/VlxpeRead this line from the text:In addition, they are greedy eaters with a fondness for small fish and crustaceans.What does greedy mean in this sentence? A.They take more than they need. B.They have little to fear from others. C.They cannot be controlled. D.They have a weight problem. a force of 200N is exerted horizontally on a box of mass 18kg to displace it through a distance of 6m.how much work is done. Please help me and I will make you as brainliest Tonya bought a square piece of poster board that had an area of 144 square inches. Which is the length of one side of the poster board?A.36 inB.72 inC.12 inD.10 in PLEASE HELP ASAPPP :) What was the main purpose of the Declaration of Independence? Stephen ate 1/3 of a bag of jelly beans and Jon ate 1/4 of the bag. What fraction of the jelly beans were left? Can someone give me the answer for both questions please:) What is the total number of digits required in numbering the pages of a book which has 1210 pages?