Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.
Well you can start by drawing a triangle with the information
the size of angle B can be found using the Law of Sine
the size of angle C can be found using angle sum of a triangle.
The length of side c can be found using the Law of Cosines
hope it helps
Answer:
374 feet^2
Step-by-step explanation:
Surface area:
area of cross section x 2 = 110feet^2
area of tope x 2 = 264 feet^2
sum / Surface area: 374 feet^2
Answer:
D) no dimensions, only position.
Step-by-step explanation: A geometric point has no dimensions, only position
. Geometric points do not have any length, area, volume, or any other dimensional attribute.
Answer:
1.4 times as high
Step-by-step explanation:
Now here we have to compare the both final velocities by using the formula independent of time. As we know,
2aS = V(f)2 - V(i)2
Both balls are dropped from certain height, so V(i) = 0 m/s for both balls
So, 2aS = V(f)2 for both balls.
Now if we compare both velocities
Equation for first ball
2aS(1) = V(1)2
Equation for second ball
2aS(2) = V(2)2
Comparing both equations
2aS(1)/2aS(2) = V(1)2/V(2)2
as we now S(1) = 5m and S(2) = 10m, also acceleration a = g, because acceleration due to gravity is acting on the balls. So,
2(9.8) x 5/2(9.8) x 10 = V(1)2/V(2)2
after simplifying,
1/2 = V(1)2/V(2)2
V(2)^2 = 2V(1)^2
By taking square root on both sides,
V(2) = 1.4V(1)