Answer:
16 : 100 = 8 : 50 = 4 : 25
Step-by-step explanation:
You just half each side by the same number
Answer:
(d + 3) would be 10
Step-by-step explanation:
<u>Step 1: Distribute</u>
<u>Step 2: Subtract 13.5 from both sides</u>
<u>Step 3: Divide both sides by 4.5</u>
<u>Step 4: Determine what (d+3) is</u>
Answer: (d + 3) would be 10
Answer:
6 inches
Step-by-step explanation:
The volume of a triangular pyramid can be found using
v=1/3bh
where b is the area of the base, and h is the height
We know the volume is 12, so let's find the area of the base
The area of a triangle can be found using:
a=bh/2
We know the base is 4, and the the height is 3, so we can substitute them in
a=4*3/2
a=12/2
a=6
Now, we can solve for the height
v=1/3bh
Substitute 12 in for v, and 6 in for b
12=1/3(6h)
Multiply both sides by 3
3*12=1/3(6h)*3
36=6h
Divide both sides by 6
h=6
The height is 6 inches
Answer:
He must start his journey by 11 AM
Step-by-step explanation:
Speed of Toshi while walking up the mountains is 1.5 kilometres per hour
Speed of Toshi while walking down the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour
Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours
Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours
He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance
Thus, He must start his journey by 11 AM
Answer:
(13 x + 6) (x - 2)
Step-by-step explanation:
Factor the following:
13 x^2 - 20 x - 12
Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):
x (13 x + 6) - 2 (13 x + 6)
Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):
Answer: (13 x + 6) (x - 2)
