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KatRina [158]
3 years ago
11

In a 30°- 60° - 90° right triangle, the longer leg has a length of 10 square root of 3. what is the length of the shorter leg?

Mathematics
1 answer:
shutvik [7]3 years ago
3 0
In a 30°-60°-90° triangle, the longer leg is √3 times the shorter leg. In your triangle, ...
  the shorter leg is 10.
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Question 1: find the volume of a cube whose total surface area is 486cm^2
lapo4ka [179]
<h3>The volume of cube is 729 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of cube is given as:</u></em>

Surface\ area = 6a^2

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9

<u><em>Find the volume of cube:</em></u>

volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729

Thus volume of cube is 729 cubic centimeter

8 0
3 years ago
Solve y = −23(x + 9) + 4 for x when y = 0.
Vlad [161]

Answer:

x = -203/23

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

y = -23(x + 9) + 4

y = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                  0 = -23(x + 9) + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                        -4 = -23(x + 9)
  3. [Division Property of Equality] Divide -23 on both sides:                                4/23 = x + 9
  4. [Subtraction Property of Equality] Subtract 9 on both sides:                        -203/23 = x
  5. Rewrite:                                                                                                             x = -203/23
3 0
3 years ago
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During one waiter’s shift, he delivered 13 appetizers, 17 entrées, and 10 desserts.
Romashka-Z-Leto [24]

Answer:

whats the question

Step-by-step explanation:

will be edited when answered

5 0
3 years ago
Read 2 more answers
Professor Bartlett teaches a class of 12 students. She has a visually challenged​ student, Louise, who must sit in the front row
Andreyy89
I think it is 6 ways

idk for sure tho
8 0
3 years ago
I need help with these
Marizza181 [45]

Answer:

Step-by-step explanation:

You could factor the trinomial and solve it that way, but that is the long way. Just put a - 4 wherever you see an x.

x^2 + 3x + 2 =

(-4)^2 + 3(-4) + 2

16 - 12 + 2

6

The answer is 6.

6 0
3 years ago
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