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Snowcat [4.5K]
3 years ago
11

The equation d = 16t^2 gives the distance d in feet that a golf ball falls in t seconds. How many seconds will it take a golf ba

ll to drop to the ground from a height of 4 feet? 64 feet?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer: 0.5 seconds for 4 ft and 2 seconds for 64 ft

d=16t^2

4=16t^2

/16  /16

t^2=1/4

t=1/2

0.5 seconds for 4 ft

64 = 16t^2

/16    /16

4=x^2

x=2

2 seconds for 64 ft

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djyliett [7]

Answer:

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Step-by-step explanation:

x^2-12x=-5

x^2 -12x +36= -5 +36

(x -6)^2= 31

√(x -6)^2= ±√31

(x-6)= ±√31

x= 6 ± √31

3 0
2 years ago
Answer the question in detail !!!​
Vilka [71]

Answer:

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8 0
2 years ago
A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet
gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

h(x)=10+0.1(x^{1.5})

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}

s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx

s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx

s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx

Let 1+0.0225x=t

dx=\frac{1}{0.0225}dt

s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt

s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}

s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}

s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)

s=28.21

Weight of cable=28.21\times 10.4=293.38pound

8 0
3 years ago
Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=
mr Goodwill [35]

Answer:

<u>125.6 in²</u>

Step-by-step explanation:

Area shaded :

  • 2 × Sector (72°)
  • 2 x πr² x θ/360
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  • 6.28 x 100 x 1/5
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4 0
1 year ago
Since the ratios for sides of triangles are the same, when the angles are the same, ? have been developed which show these ratio
Scilla [17]
Presuming that I am reading the question correctly, the answer is D. A trigonometric table would provide all of the ratios of the sides in relationship to the angles. Sin, cos, and tan are just one example of the ratio.
4 0
3 years ago
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