Answer:
Approximately, 6.283..
Step-by-step explanation:
First calculate the area of the whole circle
We have radius(r)=4 cm
Area of circle(a)=pir^2
=pi×(4)^2
=pi×16
=Approximately,50.265......
A cirlce has a total of 360 degrees
Therefore,we can conclude 360 degrees=50.265...
or,1 degree=50.265/360
1 degree=Approximately,0.139
Now,
Area for the shaded region = Area of 45 degree
=0.139×45=Approximately,6.283.....
Therefore,the area of the shaded region is approximately,6.283....
so the value of the function at x=-3 is -192
Answer:
V = 11.4 cubic yards
Step-by-step explanation:
1 foot = 12 inches
1 yard = 36 inches
1 cubic yard = 46656 cubic inches
change the given values to inches by multiplying by 12
Length = 10'8" , round to higher foot
Length = 11*12 =
Length = 132 inches
Width = 6'4", round to higher foot
Width = 7*12
Width = 84 inches
Depth = 4'
Depth = 4*12 = 48 inches
The volume V = length x width x depth = 132 x 84 x 48 = 532224 cubic inches
divide by 46656 get cubic yards
V = 11.4 cubic yards
A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:
g(x) = 2*f(x + 4) - 1
<h3>
How to write the given transformation?</h3>
For a general function f(x), a vertical stretch of scale factor K is written as:
g(x) = K*f(x).
<u><em>Horizontal translation:</em></u>
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
- If N is positive, the shift is to the left.
- If N is negative, the shift is to the right.
<u><em>Vertical translation:</em></u>
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
- If N is positive, the shift is upwards.
- If N is negative, the shift is downwards.
So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:
g(x) = 2*f(x)
Then we translate it 4 units left:
g(x) = 2*f(x + 4)
Then we translate 1 unit down:
g(x) = 2*f(x + 4) - 1
This is the equation for the transformation.
If you want to learn more about transformations, you can read:
brainly.com/question/4289712
Answer: Blll's family has 70% of driving left.
Step-by-step explanation:
The total mileage of the trip = 3,000 miles.
miles driven so far = 900miles
Miles of diatance left = 3000- 900=2100
Percentage of driving left = Miles of diatance left / Total miles to cover x 100
=2100/3000 x 100
= 7/10 x100
70%
