When an opinion poll selects cell phone numbers at random to dial, the cell phone exchange is first selected and then random dig
1 answer:
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Given parameters:
Number of boxes Athena bought for the party = x
Number of cookies per box = 10
Number of cookies she brought to the party = 70
Number removed = 2 boxes
Unknown:
Equation of the number of boxes = ?
Solution:
1 box of cookies contains 10 cookies
If Athena, removed 2 boxes, in those two boxes, we have 20 cookies
Total number of cookies = 70 + 20 = 90 cookies;
So;
x =
Therefore;
x = boxes
Make one side equal zero
minus 11 to both sides
x^2-6x-2=0
another quadratic equation
if you hahve
ax^2+bx+c=0
x=
1x^2-6x-2=0
a=1
b=-6
c=-2
x=
x=
x=
x=
x=
x=
or 
aprox
x=6.31662 or -0.316625
minus 11 to both sides
x^2-6x-2=0
another quadratic equation
if you hahve
ax^2+bx+c=0
x=
1x^2-6x-2=0
a=1
b=-6
c=-2
x=
x=
x=
x=
x=
x=
aprox
x=6.31662 or -0.316625
Answer:
A) To ensure the correct and exact straight height
B) 15 inches
C) 24.87 in
Step-by-step explanation:
Hello! Lets start!
First, it asks us to explain why the two bases must be parallel. In order to measure the correct and exact height, we must be sure that the bases are parallel, or else there would be a range of heights; in order to ensure that you are measuring a straight distance, they must be parallel!
Second, it asks us to identify the height of cone. To do this, we must make a slope! We can see that, for every time we go down 5 inches, we lose 1 inch of our base! Our slope in this situation would be -5. So, lets continue to see how long before the cone reaches its tip, in which the base would be equal to 0. At 5 inches, our base is 2 inches. At 10 inches, our base is 1 inch. At 15 inches, we do not have a base, as it equals 0! So therefore, our cone height is 15 inches.
Third, it asks us to identify the volume of the cup, which is also called a <em>circular truncated cone. </em>To do so, we can use the formula:
₁
Lets plug in our information!
Hope this helps! Remember, math is fun!