Answer:
25/81
Step-by-step explanation:
The probability of randomly selecting two oranges = (number of oranges in the bowl / total number of fruits in the bowl) x (number of oranges in the bowl / total number of fruits in the bowl)
total number of fruits in the bowl = 5 + 4 = 9
5/9 x 5/9 = 25/81
Given:
Funnel is in the shape of a cone.
Radius = 4 inches
Height = 10 inches
To find:
a) The volume of the funnel
b) How many quarts of oil are in the funnel.
Solution:
Volume of cone:
in³
The volume of the funnel is 167.47 in³.
1 qt ≈ 58 in³
To convert cubic inch to quarts divide by 58.
= 2.9 quarts
Therefore 2.9 quarts of oil are in the funnel.
Answer: the starting point
Step-by-step explanation:
x = -5 is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)
<em><u>Solution:</u></em>
Given that, we have to write the equation of line that is parallel to line x = -2 and passes through point (-5, 4)
From given,
The equation of the line in standard form is x = -2
<em><u>This is a vertical line, so the parallel line will also be a vertical line of the form:</u></em>
x = a
Since we are given that the line should pass through the point (-5, 4) then the equation of the line is:
x = -5
Thus the equation of line is found
Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
