Answer:
<h3>The ratio of technicians to all helpers is 11 : 7, or
or 11 to 7.</h3>
Step-by-step explanation:
- Given that there are 7 ushers and 11 technicians helping at the Harper Middle School fall play.
- Let x be the number of ushers ( or helpers ).
- Therefore x=7 helpers.
- Let y be the number of technicians.
- Therefore y=11 technicians.
<h3>To find the ratio of technicians to all helpers :</h3>
That is to find the ratio of y to x.
We can write the ratio of technicians to all ushers(helpers) as y : x
Which implies that 11 : 7, (since y=11 and x=7)
Or or 11 to 7
<h3>The ratio of technicians to all helpers is 11 : 7, or
or 11 to 7</h3>
Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
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Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
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Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
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Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.
Answer:
Yes
Step-by-step explanation:
When we solve it we get 0.5 which is 1/2 in fraction from
Answer:
B.) uv = 2.24 and u · v = 5.00
Step-by-step explanation:
Right on Edge. :)
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width=
Length =
Width = 
