Answer:
V = 8591.04 ft³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder: V = πr²h
- V is volume
- r is radius
- h is height
Step-by-step explanation:
<u>Step 1: Identify</u>
Radius <em>r</em> = 12 ft
Height <em>h</em> = 19 ft
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of Cylinder]: V = π(12 ft)²(19 ft)
- Evaluate exponents: V = π(144 ft²)(19 ft)
- Multiply: V = 2736π ft³
- Substitute π: V = 2736(3.14) ft³
- Multiply: V = 8591.04 ft³
First you have to turn 8/10 and 1/3 into equivalent fractions. 8/10 turns into 24/30 and 1/3 turns into 10/30. 24/30 minus 10/30 equals 14/30. After u simplify 14/30 you get 7/15.
Your answer is 7/15
Answer:
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Step-by-step explanation:
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Answer:
Option B.
Step-by-step explanation:
It is given that the new estate will be larger than the original by a scale factor of 1:10.
A section of the roof in the original estate is constructed using 45-45-90 triangles. The hypotenuse of the triangle is 10 meters long.
Two angles are equal and one angle is a right angle, it means it is an isosceles right-angled triangle.
Let 
be the length of the legs of the triangle for the larger estate.
The hypotenuse of larger estate = 10 × 10 = 100
Using Pythagoras triangle,
Divide both sides by 2.
Taking square root on both sides.
Hence, the correct option is B.
(x+5)^2 = 49;
Then x + 5 = 7 or x + 5 = -7 ;
Finally, x = 2 or x = -12.
