Given:
Radius of the circle = 4 meters
Measure of arc = 135 degrees
To find:
The area of the sector bounded by the given arc.
Solution:
Formula for area of a sector is:
Where, r is the radius and is the central angle or measure of intercepted arc.
Putting in the above formula, we get
Therefore, the exact area of the given sector is square meters.
Answer:
O The value of f(2) is smaller than the value of f(1).
Step-by-step explanation:
First, let's solve for both. When the problem says f(1) or f(2), this just means that the x value is equal to that. So:
f(1) = -5(1)^2 + 2(1) + 9 = 6
f(2) = -5(2)^2 + 2(2) + 9 = -7
Since f(1) = 6 and f(2) = -7, we know that f(1) is greater than f(2). Therefore, the value of f(2) is smaller than the value of f(1)
The expected value on playing this game is -5/36.
Given: 2 gold marbles, 9 silver marbles, and 24 black marbles.If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.
To find: Expected value on playing the game
Chance of occurrence of gold = 1/36
Chance of occurrence of silver = 9/36
Chance of occurrence of black = 26/36
On multiplying the given probability of occurence with the amount you would lose or win
we get,
1/36 * 3 + 9/36 * 2 - 26/36 * 1
3/36 + 18/36 - 26/36
=$ -5/36
For more information about probability, visit
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Answer:
The two coordinates should be (6, 3) and (10, 4).
Step-by-step explanation:
rise / run
y-value of the 2nd coordinate = 3 + 1 = 4
x-value of the 2nd coordinate = 6 + 4 = 10
The two coordinates should be <u>(6, 3) and (10, 4)</u>.
The given weight of Joshua's math textbook = 4.21 ounce
The given weight of Joshua's social studies textbook = 3.99 ounce
Hence, the difference in weight between the both the textbooks is- subtract the weight of social studies textbook from math textbook, which is:
4.21 - 3.99 = 0.22 ounce
Hence the difference in weights is 0.22 ounce.