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
Vesna [10]
3 years ago
5

The shorter leg of a 30°- 60°- 90° right triangle is 12.5 inches. How long are the longer leg and the hypotenuse?

Mathematics
2 answers:
Elodia [21]3 years ago
8 0
A right angle with angles 30° - 60° - 90° is cut from an equilateral triangle, for example as shown below in triangle ABC

The shorter leg would be the side BD (or CD) since D is the midpoint of side BC

We are to find the length of side AD (which is the height of the triangle ABC) and the hypotenuse AB (or AC ⇒ depends on which right angle triangle that you'd want to work with)

Since we know the three angles in the right angle triangle ABD, we can use the trigonometry ratio

Side AD is the opposite of the angle 60° and we know the length of side that is adjacent to 60° so we'll use the tangent ratio

tan (x°) = opposite ÷ adjacent
tan (60°) = AD ÷ 12.5
√3 = AD ÷ 12.5
AD = 12.5 × √3
AD = 21.65

We can then use the Pythagoras theorem to work out AB

AB² = AD² + BD²
AB² = 12.5² + 21.65²
AB² = 624.9725
AB = √624.9725
AB = 25 (rounded to 2 significant figures)



dezoksy [38]3 years ago
4 0
If u know the short leg...which we do, it is 12.5......to find the hypotenuse, double it......so the hypotenuse is : 12.5 * 2 = 25 inches.....and to find the longer leg, multiply shorter leg by square root of 3.....12.5 * sqrt 3 = 21.65 (thats rounded)
You might be interested in
Find the area of the parallelogram​
inn [45]

Hello from MrBillDoesMath!

Answer:

32 ft^2

Discussion:

You solved it yourself. The area of a parallelogram of base "b" and height  (altitude) "h" is b*h. In this case

Area = 8 * 4 = 32 ft^2

Thank you,

MrB

8 0
3 years ago
Read 2 more answers
5. What is the slope of the line ?​
guapka [62]

Answer:

it is 2/3

Step-by-step explanation:

6 0
3 years ago
the sum of two numbers is 78. one of the numbers is 4 more than the other number, what are the two numbers?
ladessa [460]

The two numbers are 41 & 37.

The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):

(x) + (x + 4) = 78

Now, we need to simplify it (combine like terms):

2x + 4 = 78

Then you can solve it like any other equation. Subtract 4 on both sides:

2x = 74

Divide by 2 on both sides:

x = 37.

So, now you know one number is equal to 37 and that the other is 37 + 4.

That's how you get 37 & 41.

7 0
2 years ago
Read 2 more answers
If h = 21 units and r = 7 units, what is the volume of the cone shown above?<br> Use 3.14 for .
icang [17]
Both same unit so multiply your numbers to get a great digits
3 0
3 years ago
If you have 6 cars, but there is only room in your driveway for 3 cars, in how many ways can you arrange the cars in your drivew
Svetradugi [14.3K]

If the order does not matter, cars can be arranged in 20 ways

If an order is important, cars can be arranged in 120 ways

The probability that the three newest cars end up parked in the driveway is 0.167

1. If the order does not matter, combination is used

\left ({n} \atop {r}} \right.)=\frac{n!}{r!(n-r)!}

Here, n=6 r=3

using formula,we get

\left ( {{6} \atop {3}} \right)=\frac{6!}{3!3!} =5*4=20

2. If an order is important, Permutation will be applicable

^{n}P_{r} = \frac{n!}{(n-r)!} \\

∴^{6} P_{3} =\frac{6!}{3!(6-3)!}=\frac{6!}{3!}  =120

3. the probability that the three newest cars end up parked in the driveway

P=\frac{No. of possible outcomes for 3 cars}{total possibilities}

=\frac{6*4*5}{6!}

=\frac{120}{720}

=\frac{1}{6} ≈ 0.167

Hence, If the order does not matter, cars can be arranged in 20 ways

If an order is important, cars can be arranged in 120 ways

The probability that the three newest cars end up parked in the driveway is 0.167

Learn more about probability here brainly.com/question/6077878

#SPJ4

7 0
2 years ago
Other questions:
  • What is the decimal equivalent of 10/3? its more than 1 and its not 3.3333 or 0.3 HELP PLS&gt;
    13·1 answer
  • What 2.85 when rounded to the nearest hundreth
    12·1 answer
  • Lorene's employer pays her $8.50 per hour plus an additional $45 per week. Lorene would like to earn enough money to purchase a
    11·1 answer
  • I NEED HELP PLEASE, THANKS! :)
    12·1 answer
  • -2(-5+8x)+6=40-8x<br><br> With steps please
    14·1 answer
  • Yasmin took a survey of her classmates to determine the frequencies of different eye colors
    7·1 answer
  • Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain
    12·1 answer
  • Help me I wasn't here
    10·1 answer
  • Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.
    15·1 answer
  • Adam wanted to play his video games. His mother told him that he needed to finish his homework, clean out the dishwasher, and cl
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!