Hello!
Since angle AFB is congruent to angle DFE we know that the angles that use the midpoint are also congruent
The answer is D) angle BFC is congruent to angle DFC
Hope this helps!
<span>b.<span>When there is too much diversification in a mutual fund, great success in a single stock doesn’t make much of a difference in the overall progress of the fund. </span></span>
Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
Answer: 3 times.
Step-by-step explanation:
Here, The Volume of the gas tank = 4710 
While, The radius of the cylindrical shaped bucket = 5 in
And, Height of the cylindrical shaped bucket = 20 in
Therefore, The volume of the bucket = 
= 3.14 × 5 × 5 × 20 = 1570
According to the question, cylinder shaped bucket is used to fill the tank.
Thus, The number of times the bucket will be used to fill the tank
= The Volume of the gas tank/ The volume of the bucket = 4710/1570 = 3
Therefore, The bucket will be used three times to fill the tank.
Answer:
<u>scalene</u>
Step-by-step explanation:
Length of XZ = √3² + 4² = √25 = 5
Length of ZY = √1² + 7² = √50 = 5√2
Length of XY = √4² + 5² = √41
As all lengths are different, the triangle is <u>scalene</u>
