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
Which of the following formulas could be used to find the area, A, of a triangle with base b and height h?
Mice21 [21]
The area of a triangle is A ( area) = B (base) × H (height) ÷ 2 
4 0
3 years ago
Read 2 more answers
How do i get x 0.15x+45=150
crimeas [40]
Subtract 45 on each side so it would be
0.15X=104 then divide both sides by 0.15X

then X= 700
3 0
3 years ago
Look at the picture and match
Yuliya22 [10]

Answer: 1. 2rs is 2 . r . s = 2rs                                                                                               2. 18rst is 2 . 3 . 3 r. s. t = 18rst

3.  25ab is 5 . 5 a . b  = 25ab                                                                                   4. 30abc is 2 . 3 . 5 a . b . c= 30abc                                                                                          5. 45abr is 3 . 3 . 5 . a . b . r

Step-by-step explanation: 2. 18rst is 2 . 3 . 3 . r . s . t because 2 x 3 = 6 x 3 = 18rst.    

3. 25ab is 5 . 5 a . b because 5 x 5 = 25ab

4. 30abc is 2 . 3 . 5 a . b because 2 x 3 = 6 x 5 = 30abc.

5. 45abr is 3 . 3 . 5 . a . b . r because 3 x 3 = 9 x 5 = 45abr.

Hope this works! :) If not, I am sorry :(.  If it does, Your Welcome! :)

3 0
3 years ago
Read 2 more answers
5/x - 3/4 =<br> Simplify
Verdich [7]

Answer:

\frac{20-3x}{4x}

Step-by-step explanation:

-This is an LCM problem.

-To simplify, we introduce a least common multiplier which is equivalent the product of the denominators:

LCM=x\times 4\\\\=4x

#We introduce the LCM and adjust the fractions based on it :

=\frac{5}{x}+\frac{3}{4}\\\\\\=\frac{20}{4x}+\frac{3x}{4x}\\\\\\=\frac{20-3x}{4x}

Hence, the simplified form of the fraction is: \frac{20-3x}{4x}

7 0
3 years ago
If x° – 7x2 + kx + 15 is exactly divisible by (x – 3), then find the value of k.​
faltersainse [42]

Answer:

k=4

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • janet is using a recipe for pasta that requires 1 1/2 cups of flour to make 2 servings she is making 6 servings of pasta how muc
    9·1 answer
  • Which statements are correct interpretations of this graph?
    12·2 answers
  • What is the sum of the fractions 3over5 +7/5
    7·1 answer
  • Valerie took out a loan to pay off some bills. She borrowed $1,200 at an annual interest rate of 9%. How much interest did she p
    15·1 answer
  • Find the sum of the first 10 terms of the following geometric sequences: 3,6,12,24,48
    10·1 answer
  • Please help me with this question!
    6·2 answers
  • Sphere A has a radius of 24 centimeters, and sphere Bhas a diameter of 42 centimeters. The radius of sphere A is
    9·1 answer
  • The solution of 5(x+2) – 3x = 2(x – 5)
    15·1 answer
  • Help will give brainlist!<br> If correct. Thanks!
    15·2 answers
  • What is the least common denominator of 10 and 14​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!