Answer:
h = 24 cm
Step-by-step explanation:
The formula for area of a triangle is
A = (1/2)bh where b is the base and h is the height.
We are told that the base is 5 times the height, this translates to
b = 5h, so we can rewrite our formula to
A = (1/2)(5h)(h) or
A = (1/2)5h²
We are given A = 1,440, so plug that in and solve for h...
1,440 = (1/2)5h²
2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)
576 = h² (divide both sides by 5 to get the h value by itself)
24 = h (take the square root of both sides)
Answer:
3
Step-by-step explanation:
substitute x = 4 , y = 6 into the expression
y - (5 - (x - y))
= 6 - (5 - (6 - 4))
= 6 - (5 - 2))
= 6 - 3
= 3
Answer:
See below.
Step-by-step explanation:
To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.
Example:
For a base which is 12 by 12. The area is 12 x 12 = 144.
For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.
Together the surface area is 360 + 144 = 504.
This problem can easily be completed if we go through it step by step.
1. Nick has a 15 minute ride home on the bus from school at 2:25 p.m.
2:25 p.m + 15 min = 2:40 p.m.
2. He goes on a 30 minute bike ride after arriving home at 2:40 p.m.
2:40 p.m + 30 min = 3:10 p.m.
3. He spends 55 minutes doing homework at 3:10 p.m.
3:10 p.m. + 55 min = 4:05 p.m.
Ergo, Nick finished his homework at 4:05 p.m.
Answer:
3(4k+5)-14k+5+5=4k
Step-by-step explanation:
Parentheses
Exponents
Multiply
Divide
Add
Subtract
and also when you add the numbers the k just remains behind your solution
