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RideAnS [48]
3 years ago
11

An outfielder throws a baseball to the player on third base. The height h of the ball in feet is modeled by the function h(t) =

-16t2 + 19t + 5, where t is time in seconds. The third baseman catches the ball when it is 4 feet above the ground. To the nearest tenth of a second, how long was the ball in the air before it was caught?
Mathematics
2 answers:
Nesterboy [21]3 years ago
8 0
4=-16t^2+19t+5 
<span>16t^2-19t-1=0 </span>
<span>quadform is (-b+-sqrt(b^2-4ac))/2/a </span>

<span>a=16 </span>
<span>b=-19 </span>
<span>c=-1 
</span>Plug in to the quadratic formula.
<span>1.238 and -.0505.
cant be negative, so it has to be 1.238.</span>
scoray [572]3 years ago
4 0
-16 t² + 19 t + 5 = 4
-16t² + 19 t + 1 = 0
t_{12} = \frac{-19\pm \sqrt{19^{2}-4*(-16)* 1 } }{-32}= \\  \frac{-19\pm \sqrt{361+64} }{-32} =  \frac{-19\pm20.61}{-32}
We will accept: ( another answer is negative )
t = 1.2 s ( to the nearest tenth ) 
Answer: the ball was 1.2 seconds in the air before it was caught.

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Rotations, reflections and translations.

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Rotations, reflections and translations are transformations that preserve the both the angle measurements and the lengths of the sides, so congruence is preserved.

Dilations are transformations that keep the angle measurements, but the side lengths change, so the transformation is similar, not congruent.

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Kiki works in a furniture store. Her base salary is $150 per day, plus an 8 percent commission on her sales. She sells several h
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Jerome will also order t-shirt for the volunteers he will order both adults and child size t shirt
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a >= 200

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Step-by-step explanation:

Step 1 :

Let c be the number of child t shirt and a be the number of adult t-shirts

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Step 2 :

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Given that Jerome needs at least 200 adult t-shirts .

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5 0
2 years ago
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In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.
dem82 [27]

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

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∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

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→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

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