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sergeinik [125]
2 years ago
4

A potato is launched into the air at a velocity of 60 feet per second off of a building that is 210 feet tall. This can be model

ed by the formula h=-16t^(2)+60t+210, where h is the height (in feet) after t seconds. When will the potato hit the ground? (Round to the nearest second.)
Mathematics
1 answer:
sattari [20]2 years ago
5 0
The equation models the height of a projectile in feet above ground (h=0) with g=-32 ft/s^2 at a height of 210 ft. with an initial velocity (upwards) of 60 ft/s.

The time it takes to reach the ground can be obtained by solving the equation h(t)=0.

h(t)=0 =>
-16t^2+60t+210=0
=>
16t^2-60t-210=0
Solve by completing the square:
t^2-(60/16)t-210/16=0
=>
(t-60/32)^2=(60/32)^2-210/16
Simplify
t-15/8= ± sqrt(1065)/8
=>
t=15/8 ± sqrt(1065)/8
=-2.20 s. or 5.95 seconds  (to two decimals).

Answer: after 5.95 seconds, the potato will hit the ground, assuming no air resistance.



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From my research, the image attached supports the problem. Since only the outer curve is to be solved for, the formula for arcs can be used.

s = theta*radius

where s = arc length = outer curve

theta = 70 (pi/180)
radius = 70

s = 70 * (70*pi/180)
s = 85.52 feet

Therefore, the outer curve is 85.52 feet long

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2 years ago
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Answer:

Step-by-step explanation:

Let A = Adam, B = Betty

Adam and Betty purchased a printer together for $258.

This means we can say A + B = 258.

We are also told Adam paid $18 less than twice Betty.

You can write this as:

Adam = 2 x Betty - 18

A = 2B - 18

Substitute "A" into the A + B equation and you get:

A + B = 258

2B - 18 + B = 258

3B - 18 = 258

Add 18 to both sides.

3B = 258 + 18

3B = 276

Divide both sides by 3 to find B

B = 276/3 = 92 (This means Betty paid $92).

Since the total that they paid together was $258.

This means Adam pays the Total - How much Betty paid

Adam = 258 - 92 = $166

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Illusion [34]
The probability of John making the first and missing the second is:
P(makes\ 1\ basket)=0.8\times(1-0.8)=0.16
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2 years ago
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What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns
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Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

Determine the area of triangle

A=\frac{1}{2}(9)(6)=27\ in^2

step 2

Determine the area of the square

A=(3^2)=9\ in^2

step 3

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P=\frac{9}{27}

simplify

P=\frac{1}{3}

therefore

One-third

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2 years ago
Please help<br><br>numbers 42, 43, 44
Aleks [24]
<h3>Answer:</h3>

42.  29°

43.  3x³ +2x² -3x +10

44.  20a² +68a

<h3>Step-by-step explanation:</h3>

42.  The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

  (-3x +20)° + (-2x +55)° = 90°

  -5x +75 = 90 . . . . . . . . . . collect terms, divide by °

  -5x = 15 . . . . . . . . . . . . . . . subtract 75

  x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

  (-3·(-3) +20)° = 29° = m∠BDC

___

43.  The distributive property is useful for multiplying polynomials.

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  = 3x³ +2x² -3x +10

___

44.  Area is the product of length and width, so this becomes a problem in multiplying polynomials.

  area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

3 0
2 years ago
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