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
nika2105 [10]
3 years ago
5

Suppose a triangular desk will be built in the corner of that room. It will be in the shape of a 30-60-90 right triangle. The le

ngth of the longer leg of the triangle is 5 feet.
The volume of the room is 566 sq ft

2. How could the length of the shorter leg be determined without measuring it? What is its length? Round your answer to the second decimal point. Show all of your work.


3. How could the length of the hypotenuse be determined without measuring it? What is its length? Round your answer to the second decimal point. Show all of your work.
Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

<u>Longer leg = 5 feet</u>

<u>Shorter leg ≅ 2.89 feet</u>

<u>Hypotenuse ≅ 5.78 feet</u>

Step-by-step explanation:

Let's recall that this is a special type of triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides is 1:  √3  :2. That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg.

Upon saying that, we can find the length of the legs of the triangle given:

Longer leg = 5 feet

Shorter leg * √3 = 5

Shorter leg = 5/√3 = 5√3/3 ≅ 2.89 feet

Hypotenuse = 2 * Shorter leg

Hypotenuse = 10√3/3 ≅ 5.78 feet

You might be interested in
A man paid $42.30 for gasoline in may, $38.60 in June, and $43 in July. What was the average monthly cost for gasoline?
jeyben [28]
The average is $41.30 
3 0
3 years ago
Completely factor the expression 8n-28
Blizzard [7]
8n-28
4(2n-7)
you cant factor this. There are no powers
3 0
2 years ago
Read 2 more answers
20 POINTS
TiliK225 [7]

Answer:

Step-by-step explanation:

There are <u>6</u><u> different shapes</u>

You want the outcome to be a Nonagon

You put the outcome as a ratio 1/6

1/6=0.1666667

0.1666667*100=16.6667%

<u>Chance of pulling out a </u><u>nonagon</u>

3 0
3 years ago
Martin finds a shirt on sale for 20 %off at a department store. The original price was 10$ Martin must also pay 8.5% sales tax.
Serhud [2]

Answer:

Step-by-step explanation:

Sale price = 80% of $10 = 0.80×$10 = $8

price + tax = 1.085×$8 = $8.68

8 0
2 years ago
Read 2 more answers
Whats the 4th term in 12 - n
never [62]

Answer:

2n

Step-by-step explanation:

To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8.

5 0
3 years ago
Other questions:
  • A store manager begins each shift with the same total amount of money. She keeps $200 in a safe and distributes the rest equally
    5·2 answers
  • a store selling a couch for $623 on a 24 month payment plan if your down payment of 152 is given and no interest is charged how
    5·2 answers
  • An antique clock cost £540. its price is increased by 18% in a year. what is it now worth?
    5·1 answer
  • Unit rate 232 miles in 4 hours​
    10·1 answer
  • Help me plz i don't understande
    10·2 answers
  • Tell weather the given value is a solution of the inequality yes or no
    7·1 answer
  • Leo is a great babysitter. He makes $8 an hour. Maureen is an even better babysitter. She makes $10 an hour. Maureen works 4 hou
    15·1 answer
  • 1. Paula has x cups of food in a container to feed her dogs. She pours 1.5 cups of food into their bowls. There is now 5.25 cups
    14·1 answer
  • the dimensions of kaly's new cell phone are 6 inches by 8 inches. her phone cost 30 per square inch how much did kayla pay for t
    5·1 answer
  • Module 4 Pretest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!