Answer:
(a+11)(a-1)
Step-by-step explanation:
GCF 32 24 40
^ ^ ^
2 16 2 12 2 20
^ ^ ^
2 8 2 6 2 10
^ ^ ^
2 4 2 3 2 5
^
2 2
(2) (2 & 3) (2 & 5)
Answer:
Height is 10 units
Volume is 785 cubic units
Step-by-step explanation:
We are given;
Diameter of a cylinder as 10 units
But, radius = d/2
= 5 units
Height is twice its radius,
Thus, Height = 10 units
We can get the volume;
Volume of a cylinder = pir²H
Taking pi to be 3.14
Then;
Volume = 3.14 × 5²× 10
= 785 cubic units
Thus, the volume of the cylinder is about 785 cubic units
Answer:
Step-by-step explanation:
angle 1 and angle 2 add to 180 degree because they are supplementary angel and in supplementary angle sum of two angles is 180 degree
angle 1 and angle 3 is equal as they are vetically opposite angles and vertically opposite angles are always equal.
angle 3 and 4 add to 180 degree because they are supplementary angle and in supplementary angle sum of two angles id 180 degree.
angle 2 and angle 4 are equal because they are vertically opposite angles and vertically opposite angles are always equal.
Tracy should deposit 1,369.86 to earn 3,000 in 5 years at 4% interest rate compounded 4 times a year
Given:
Compounded Interest = 3000
Term = 5 year
Frequency = 4 times a year
interest rate = 4%
Principal = unknown.
C.I = Principal × (1 + rate)^t
3000 = Principal × (1.04⁴)⁵
3000 = Principal × 1.17⁵
3000 = Principal x 2.19
3000/2.19 = Principal
1,369.86 = Principal
