When two lines intersect to form two angles, what conjecture can you make about the pairs of angles that are next to each other?
1 answer:
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Answer:
1. y = 9280 - 20x
2. f(y) = 6.37y - 3
Step-by-step explanation:
1. The equation is given to be
Now, rearranging the function we can write
⇒ y = 9280 - 20x
Hence, this is the equation as a function of x. (Answer)
2. The given function is y - 6.37x = - 3
Therefore, we can write, y = 6.37x - 3
Hence, f(x) = 6.37x - 3
⇒ f(y) = 6.37y - 3.
Hence, option D is true. (Answer)
Answer:
If the expression is , then the answer is the first option.
If the expression is , then the answer is the third option.
Step-by-step explanation:
Remember that when you have a radical expression in the form , you can rewrite as:
Then:
- If the expression is , then you can rewrite it in the following radical form:
(This form matches with the first option.)
- If the expression is , then you can rewrite it in the following radical form:
(This form matches with the third option).
The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape =
Volume of a rectangular prism =
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball =
Volume of basketball =
- Convert to
<em>Therefore,</em>
- Volume of basketball =
- Find the volume of the office (rectangular prism):
Volume of the office =
- Number of basket ball that will fill the office = Volume of office / volume of basketball
- <em>Thus:</em>
Number of basket ball that will fill the office =
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
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