Answer:
99cm^2
Step-by-step explanation:
When finding an area of a triangle, you multiply base times height and then divide by 2.
In this case,
Height:11
Base: 18
So then apply the formula:
Solve (using a calculator lol)
We get 99
Don't forget units!
So the final answer is 99cm^2
Answer:
- 11x² + 4x + 14
Step-by-step explanation:
Given
(9 - 3x²) + (- 8x² + 4x + 5) ← distribute both parenthesis by 1
= 9 - 3x² - 8x² + 4x + 5 ← collect like terms
= - 11x² + 4x + 14 ← sum of the polynomials
length = 4 yards and width = 3.5 yards
let width be w then length is 2w - 3
area = w(2w - 3) = 14 (rearrange in standard form )
2w² - 3w - 14 = 0 ← in standard form
(2w - 7 )(w + 2 ) = 0 ← in factored form
equate each factor to zero and solve for w
2w - 7 = 0 ⇒ w = 3.5
w + 2 = 0 ⇒ w = - 2
but w > 0, hence w = 3.5
width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards
Answer:
t_a = 7 s
t_w = 5 s
Step-by-step explanation:
Given:
- The average speed in air v_a = 16 m/s
- The average speed in water v_w = 3 m/s
- The total distance D = 127 m
- The total time T = 12 s
Find:
How long did the stone fall in air and how long did it fall in the water?
Solution:
- Lets time taken by stone to drop through air as t_a = t_a.
- The time taken in water would be t_w = (12 - t_a)
- The total distance covered can be calculated as:
D = v_a*t_a+ v_w*(12 - t_a)
127 = 16*t_a + 3*(12 - t_a)
Simplify and solve for t:
91 = 16*t_a - 3t_a
13*t_a = 91
t_a = 7 s
t_w = 5 s
