Given the following expression show below;
Factor out the GCF from both the numerator and denominator
This can also be expressed as;
Cancel out the common expression
Hence the simplified form of the expression is -11/5
Answer:
a=
Step-by-step explanation:
As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.
As this is the same measure as the other, that means that the side length will be the same.
Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.
Recall that the pythagorean theorem states:
In this case, a is 17, b is 17, and c is a
Knowing this, we can input our value into this formula and solve for a.
Answer:
No, the cone will not hold all of the ice cream.
Step-by-step explanation:
Given:
" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.
If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.
Now, to explain mathematically will the cone hold all of the ice cream.
<u>Taking the value of π = 3.14.</u>
So, to get the volume of waffle cone we put formula:
Height (h) = 6 inches.
Diameter =
Thus radius (r) = Diameter ÷ 2 =
The volume of waffle cone = 10.78 inches³.
Now, to get the volume of scoop which is in the shape of sphere we put formula:
Diameter =
Thus radius (r) = Diameter ÷ 2
<em>The volume of one scoop of ice cream = 12.47 inches³.</em>
<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>
<u><em>Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.</em></u>
Therefore, no the cone will not hold all of the ice cream.