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Triss [41]
3 years ago
15

The equation y = -16t^2 - 60t + 54 describes the height (in feet) of a ball thrown downward at 60 feet per second from a height

of 54 feet from the ground. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest hundredth.
Pleeease quickly
Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0
0 = -16t^2 -60t +54
t = 0.75 seconds
solving by the quadratic equation or graphing calculator or completing the square.
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A spotlight has a beam that travels 100 feet and covers an area intercepted by an 84°
d1i1m1o1n [39]

Answer:

7330 sq.ft

Step-by-step explanation:

Area covered by the beam = Area of sector

Area of sector = \frac{\theta}{360} \times \pi r^2

Where,

\theta = 84°

Radius (r) = 100 ft

Plug in the values into the formula

Area of sector = \frac{84}{360} \times \pi 100^2

Area of sector = \frac{84 \times \pi \times 10,000}{360}

Area of sector = 7,330 ft² (nearest square foot)

8 0
3 years ago
Solve for X<br><br> 1/2(10X-8)=1/3(21-15X
Tasya [4]
The answer would be x=11/10
3 0
4 years ago
8) Find the distance<br> A (5, 1) (-3,7)
Nostrana [21]
Use the formula d= x2-x1^2+y2-y1^2
X2 would be -3+5 ^2+ 7+1^2
7=y2
1=y1
Now calculate
-3+5=2
2^2 +4^2 Since negative 3 and negative 1 = positive 4

Now square 2 which is for and 4 squared is 16
Add them up and it will be = 20 square which can simplify to 4/5
5 0
3 years ago
1) Determine the length of "x" in the following triangle and mention if you're solving
Aliun [14]

Answer:

X=48

Step-by-step explanation:

x^2+y^2=z^2

but in this case it's z^2-y^2=x^2

so 73^2= 5329

and 55^2=3025

5329-3025=2304

Square Root of 2304 is 48, meaning X=48

Hope this helps!

3 0
3 years ago
The hikers plan to visit scenic Lookout. They will rest after they hike 2 miles. Then they will hike the remaining 1 3/4 miles t
Dvinal [7]
They will walk 4 wholes and 1/4 so 4 1/4
5 0
3 years ago
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