Answer:
24.0 square feet
Step-by-step explanation:
The area of the sector is given by ...
A = (1/2)r²θ . . . . . where θ is the angle in radians
The area of the circle is the same, with θ=2π, so is ...
A = πr²
__
In this problem, the area of the sector is ...
A = (1/2)(9 ft)²(24π/180) = 27π/5 ft² ≈ 16.9646 ft²
The area of the circle is ...
A = π(1.5 ft)² = 9π/4 ft² ≈ 7.0686 ft²
Then the total area of the exclamation point is ...
16.9646 +7.0686 ≈ 24.0 . . . ft²
The area is about 24.0 square feet.
Answer:
Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph 
is below
Step-by-step explanation:
Slope of the equation 
is 
Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as
Equation of line in point slope form is given as
Here (x1, y1) = (4, -8)
Simplifying it further
Answer:
Theanswer is 4/27.
Step-by-step explanation:
given that, F(x) = 4×(1/3)^x
now , F(3)= 4×(1/3)^3 ( putting value of x)
or, F(3) = 4×(1/27)
therefore, F(3)= 4/27... ans
<em><u>hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>
It would be the last one because 5 columns are shaded and there are 10 columns all together. 50/100= 0.5
Answer:
Step-by-step explanation:
We need to note that this is an equation, in which we can solve for x.
We can use a calculator to find the tangent of 39 - we type 39 into the calculator then press the "TAN" button to find it's tangent. We find that to be around 0.81.
We now have the formula simplified down to 
. To solve for x, we want to isolate it on one side, so we can multiply both sides by 68 to get rid of the fraction.
We know have 
, so x is approximately 55.
Hope this helped!
