1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gwar [14]
2 years ago
8

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

Mathematics
1 answer:
Ivahew [28]2 years ago
6 0

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

You might be interested in
Which statement about the sum of the interior angle measures of a triangle in Euclidean and non Euclidean geometries are true
Sati [7]
Where are the statements?
7 0
3 years ago
Read 2 more answers
If you invest $500 at 4% interest,compounded annually,how much is in the account at the end of six years?
Genrish500 [490]
So, we'll find out how much interest this person will have in 6 years and then add it to the original deposit. To do this we will multiply all the factors:

500 x 0.04 x 6 = 120.
This means they'll have made $120 in interest in 6 years if they don't touch the money. We will add the 120 to the 500.
500+120= 620

They will have a total of $620 in their account after 6 years.




3 0
3 years ago
Find a linear equation whose graph is the straight line with the given property.
jeka57 [31]

Answer:

y = 3/4x - 9/8

Then read explanation and see here with 2 coordinates would make

if 3/4 = -6 then 1 = -8

y = -6x + c

-6 / 3/4  + 9/8 / - 0.5  = -2.25

therefore c = -2.25

y = -6x - 2.25

y = -6x - 9/4  and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4

Step-by-step explanation:

C1)    (0.5 , -0.75)

C2)   ( 1. -3.75)

y = mx + c

-3.75 - - 0.75  /   1 - 0.5  = -3.75 + 0.75 / 0.5

= -3 / 0.5 = m

m = -6

y = -6x + c

then this works given just one coordinate to solve for 1 or 2 sets given points

y - y1 = mx+c

y - - 0.75 =  0.75 (x - x1)

y + 0.75 = 0.75 (x - 0.5)

y + 0.75 = 0.75x - 0.375

y = 0.75 - 0.75   =  0.75x( - 0.375 - 0.75)

y = 0.75x -1.125

y = 3/4x - 9/8    as common denominators of 1125/1000 is 9/8 as we divide by  125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.

5 0
2 years ago
4. Find the area of the following composite figure.
inn [45]

Answer:

The area is 136

Step-by-step explanation:

7 x 16 = 112

1/2 x 8 x 6 = 24

24 + 112 = 136

7 0
1 year ago
Read 2 more answers
What is the probability of spinning an odd number and rolling and odd number?
GalinKa [24]

how many numbers does the spinner have on it?


4 0
3 years ago
Other questions:
  • What is a? And what’s number 6
    14·1 answer
  • Solve: 2 3 x - 4 = -2 A) -3 B) -4 C) -9 D) 3
    6·1 answer
  • How many cookies are in the cookie jar?
    8·2 answers
  • What is the multiplication distribution theory
    11·2 answers
  • Consider this system of linear equations: 22x − y = -23 (equation 1) 11x + 12y = 1 (equation 2) To find the value of x, you need
    7·1 answer
  • Help me pleaseeeeeeeeee
    8·1 answer
  • If f(x) = -4x + 2 and g(x) = sq root X – 8,<br>what is (fºg)(12)?​
    13·1 answer
  • an arts academy requires there to be 3 teachers for every 51 students and 5 tutors for every 45 students. how many students does
    9·1 answer
  • During migration, a hummingbird can fly 210 miles in 7 hours, and a goose can fly 165 miles in 3 hours. Which bird flies at a fa
    14·2 answers
  • What is the difference between 7 million and 7 ten thousand
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!