Answer:
72.96
Step-by-step explanation:
Let the first circle's radius be r and quarter circle's radius be R
Area of circle = π
= 3.14 × 8 × 8
= 200.96
Area of quarter circle = π/4
= 3.14 × 16 × 16
= 803. 84/4
=200.96
Area of shaded portion = (Area of Quarter circle - Area of semi-circle ACD - Area of triangle ABC) + (Area of the circle - Area of semi-circle ACD - Area of triangle ABC)
Area of Semi-circle = Area of the circle divided by 2
= 100.48
Area of triangle =
=
= 64
Therefore, The area of shaded portion= (200.96-100.48-64) + (200.96 - 100.48 - 64)
= 36.48 +36.48
=72.96
Answer:
t = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
0.5t = 0.2 + 0.4t
<u>Step 2: Solve for </u><em><u>t</u></em>
- [Subtraction Property of Equality] Subtract 0.4t on both sides: 0.1t = 0.2
- [Division Property of Equality] Divide 0.1 on both sides: t = 2
Answer:
The statement is true.
Step-by-step explanation:
Given : Reflecting the graph of y = sin x across the y-axis is the same as reflecting it across the x-axis.
To find : Is this statement true or false?
Solution:
Rules of reflection :
Along across y-axis if we have a point
So, y=sinx
The reflection across y-axis→ .......[1]
Along across x-axis if we have a point
so, y=sinx
The reflection across x-axis → .....[2]
Hence, [1] and [2] both of them are equal
Therefore, the statement is true.
Answer:
The answer is 21 1/3
Step-by-step explanation:
First you have to take 5/9 and subtract it by 1/5 and you will get 16/45. Then you multiply 60 times 16/45 and get 21 1/3
Answer:
The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is 1/36
Step-by-step explanation:
There are total 6 possible outcomes of rolling a six sided fair cube. Therefore, the probability of rolling each number (1,2,3,4,5,6) is fair = 1/6
In this way,
The probability of rolling a 5 on the first number cube = p(A) = 1/6
The probability of rolling a 6 on the second number cube = p(B) = 1/6
The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is = p(A) * p(B) = 1/6*1/6 = 1/36