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skad [1K]
3 years ago
6

The length of one leg of a right triangle is 8 and the length of the hypotenuse is 24. Find the length of the missing leg to the

nearest hundredth.
Mathematics
1 answer:
joja [24]3 years ago
5 0
8^2 + b^2 = 24^2
64 + b^2 = 576
-64 -64
b^2 = 512
Take the square root from b^2 and 512 =
b = 22.627
Answer 22.63 (rounded up)
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A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after th
Bogdan [553]
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120

Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10

Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)

0 = 3t - 2
2 = 3t
2/3 = t

Plug 2/3 into original equation, this is a maximum. We want the minimum:

0 = t - 5
5 = t

Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
6 0
3 years ago
Graph the exponential model y=3(6)^x Which point lies on the graph? (-9 2) (-1, -18) (1, 18) (2, 9)
svetlana [45]

Answer:

(1,18)

Step-by-step explanation:

use a graphing calculator to graph the function

then, graph all the coordinates given and find on that's on the graph

7 0
3 years ago
Pls help me with this question it wold be great help its circumference
Ivan

Answer:

C = 9.42\ m

Step-by-step explanation:

The formula for the circumference of a circle with the diameter is:

C = \pi d

Since the diameter is 3m, solve for C:

C = \pi d\\C = \pi3\\C = (3.14) \times 3\\C = 9.42

6 0
1 year ago
Read 2 more answers
Mai bought a television for $330. The tax rate is 8%. How much did Mai pay for the television?
Bezzdna [24]
Mai paid $412.50 for the T.V.
8 0
3 years ago
Read 2 more answers
How do I simplify this
velikii [3]
512x^3 would be the answer 
7 0
3 years ago
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