Answer:
x=8
x=-2
Step-by-step explanation:
∣x−3∣+4=9
= ∣x−3∣=5
<u>Positive term: (x-3)</u>
(x-3) = 5
Rearrange and Add up
x = 8
<u>Negative term: -(x-3)</u>
Multiply
-x+3 = 5
Rearrange and Add up
-x = 2
Multiply both sides by (-1)
x = -2
Answer:
The length of the arc is 4.6375 miles
Step-by-step explanation:
Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.
2*pi*r ---> 2*pi*3 ---> 6*pi ---> ≈ 18.55 miles
Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.
x/360 ---> 90/360 ---> = 0.25
Lastly multiply the two numbers.
18.55 * 0.25 ---> 4.6375 miles is your answer.
<em>(you may need to round your answer if needed)</em>
Our final answer must represent "number of mosquitos." This verifies that the correct calculation would be
1000 mosquitos 10.5 hours
----------------------- x --------------------
1 hour 1
Multiply this out. Note that "hours" will cancel.
Whats your result?
Supposing that your result looked like xxxxx times 10^0,
you'd convert this into scientific notation by moving the decimal place four units to the left (obtaining x.xxx) and then increasing the exponent of 10 from zero to four (obtaining 10^4).
Then your answer would have the form x.xxx times 10^4 (mosquitos)
first convert 0.88 to degrees
so arcsin(0.88) = 61.642 degrees
Arcsin on a calculator is sin^-1
then to convert to radians divide degrees by 180 and multiply that by PI
so (61.642/180) x PI = 1.076 radians
Answer:
The area is:

Step-by-step explanation:
Area of this figure is simply the product of the base and the height, as it just happens to be a slanted or inclined rectangle.
Therefore:
