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mote1985 [20]
2 years ago
8

The height, h of a baseball, in meters at t seconds after it is tossed out of a window

Mathematics
1 answer:
Vadim26 [7]2 years ago
4 0

You'll be solving:

-5t^2 + 20t + 15 = 3t + 3

5t^2 - 17t - 12 = 0

(t - 4)(5t + 3) = 0

t = 4 or t = -3/5, but let's assume t ≥ 0

Step-by-step explanation:

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A dining room is 21 ft long. On a blueprint, the dining room is 3.5 ft long and 2.5 ft wide. The actual width of the dining room
mars1129 [50]

Answer:

15 ft.

Step-by-step explanation:

the ratio of the real room to the blueprint is 21/3.5, which simplifies to 6.

You have to multiply 6 by 2.5 to get 15

4 0
2 years ago
A tree casts a shadow 12 meters long , while a bush nearby casts a shadow 3.5 meters long. If the tree is 3.2 meters tall, how t
Lynna [10]
X = height of bush
12/3.5 = 3.2/x  [cross multiply]
(12)(x) = (3.2)(3.5)
12x = 11.2 [Divide 12 on both sides]
x = 0.93 m

The height of the bush is 0.93 meters. 
Best of luck. 
6 0
3 years ago
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Ahat [919]

Answer:

<h3>19,133.067</h3>

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

6 0
3 years ago
Which could be the dimensions of a rectangular prism to service area is less than 160 ft.² check all that apply
raketka [301]

Area of rectangular prism is given by:

A=2(wl+hl+lw)

where w=width h=height, l=length

checking for given options

1. 8 ft, by 4ft by 3ft

Area = 136 square feet

5. 3 feet by 5 feet by 7 feet

Area =142 square feet

so our first and last option matches the requirement of area less than 160 square feet.

3 0
3 years ago
Read 2 more answers
A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. How much does e
grin007 [14]

60 square feet= $287.00 + $80.00

                       = $367

1 square feet= $367 / 60

                     = $6.116666667

                     = $6.12 (to 2dp) ( answer)

4 0
3 years ago
Read 2 more answers
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