The sector of a circle with a 12-inch radius has a central angle measure of 60What is the exact area of the sector in terms of pi
Answers
Answer:
24 π square inches
Step-by-step explanation:
The area of a circule is give by the formula A = π r²
Since we have a angle of 60 degrees, that represent 1/6th of the whole area (60 / 360 degrees).
A circle = π * 12² = 144 π square inches
Area of the portion representing 60 degrees of the circle, can easily be calculated with a cross-multiplication:
x = 144 π / 6 = 24 π square inches
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What percent of 8x is5x
Answers
days present = 216 days
percentage of presence = 60%
Find the total number of days the school was opened.
216 days is the part of a whole. 60% is the percentage of the part to the whole.
To get the whole, we need to divide the part by its percentage
216 ÷ 60% = 360 days
The school was opened for 360 days.
216 days ⇒ 60%
x days ⇒ 100%
60x = 216·100
60x = 21600
x = 21600/60
x = 2160/6
x = 360 days
Answer: 360 days
Answers
44.4
2.22
lol it confused me first
Answers
Answer:
44/7
Step-by-step explanation:
First, carry out the indicated multiplication, using the Distributive Property of Multiplication:
-4x + 2(3x – 1) - 12 = 3x + 30 becomes:
-4x + 6x – 2 - 12 = 3x + 30
Next, combine all the x terms and all the constants. We get:
10x - 14 = 3x + 30, or 7x = 44
Dividing both sides by 7 yields x = 44/7.
Answer:
X= -44
Step-by-step explanation:
Multiply parenthesis by 2. Distribute 2 through the parenthesis. Collect like terms. Calculate the difference. Move variable to the left side and change it's sign. Move constant to the right side and change it's sign. Collect like terms. Add the numbers. Change the signs on both sides of the equation. Then you'll get X= -44
Answers
we know that
If line b is perpendicular to line a, and line c is perpendicular to line a,
then
line b and line c are parallel
and two lines parallel have the same slope
so
Find the slope of the line b
Let
The formula to calculate the slope between two points is equal to
substitute
therefore
the answer is
the slope of the line c is
If two lines are perpendicular, then the product of the slope is -1.
Thus, the slope of line c is m which is the same as line b.
What is the linear system?
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
Line b is perpendicular to line a, and line c is perpendicular to line a.
To find
The slope of line c.
We know that the slope theorem
If two lines are perpendicular, then the product of the slope is -1.
Let the slope of line b be m, then the slope of line a will be .
Then
Then the slope of line c will be.
Then
Thus, the slope of line c is m which is the same as line b.
More about the linearsystem link is given below.
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You can find this by converting the decimals into fractions, then multiplying by the reciprocal of the second fraction. Finally, convert it to decimal form.
Answers
1/4 x 1/2 = 1/8
Happy to Help!