<h3>
Answer: 9</h3>
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Work Shown:
a = unknown = leg #1
b = 12 = leg #2
c = 15 = hypotenuse
Plug those values into the pythagorean theorem and solve for 'a'
a^2 + b^2 = c^2
a^2 + (12)^2 = (15)^2 .... substitution
a^2 + 144 = 225
a^2 = 225 - 144 ... subtracting 144 from both sides
a^2 = 81
a = sqrt(81) .... applying square root to both sides
a = 9
Volume of the cone = 1/3 pi r^2 h = 1005.31 cm^3
Volume of the sphere = 4/3 pi r^3 = 463.25 cm^3
Volume of remaining portion of the cone = 1005.31 - 463.25
= 542.1 cm^3 to nearest tenth
7/4 miles in 11 minutes
x miles in 1 minute
Cross multiply we will get:
7/4 = 11x
7/4 x 1/11 = x
7/44 = x
So 7/44 miles per minute is the answer
Step-by-step explanation:
The centroid divides the length of each median in 2:1 ratio.
The length of the part between the vertex and the centroid is twice the length between the centroid and the mid-point of the opposite side.
In case of median KM,
K is the vertex and M is the midpoint of the side JL
KT = 2× TM
5y+3 = 2(y+3)
5y+3= 2y +6
5y-2y= 6-3
3y = 3
y= 1
