Answer:
96 cm^2
Step-by-step explanation:
The triangle can be split into 2 6-8-10 triangles, each with area 24. The bottom parallelogram area is base times height, or 8 * 6, so 48. 24 + 24 + 48 is 96.
Answer:
10 million (10,000,000) tens can go into 100,000,000
Tan52° = x/29
The angle of elevation is 52°, so that must be inside the tan function.
Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.
Answer : B
the distance between the points (4,3) and (2,-1)
We apply distance formula

(x1,y1) is (4,3)
(x2,y2) is (2,1)


d^2 = 4+16 = 20
Take square root on both sides
So 
the distance between the points (4,3) and (2,-1) is 2sqrt(5)
9514 1404 393
Answer:
- zeros: t = 1, t = -1/2
- no: the domain of the function is t ≥ 0
- 8 feet
Step-by-step explanation:
The zeros are the values of t that make the factors zero.
1 -t = 0 ⇒ t = 1
8 +16t = 0 ⇒ t = -8/16 = -1/2
The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.
Only the positive zero is in the function's domain, so that is the only one that is meaningful.
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When t = 0 (at the time the ball is thrown), the function value is ...
h(0) = (1 -0)(8 +0) = 8
The ball is thrown from a height of 8 feet.