The pilot in a helicopter tossed a life float down to a swimmer in the water. The height, h, of the float after time t seconds is represented by the equation h(t) = -16t2 - 3t + 55. Find the time it takes the float to reach the swimmer.​

Answers

Answer 1

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs


Related Questions

Find the distance between the two points in simplest radical form.
(-9,3) and (-3,-5)

Answers

Answer:

10

Step-by-step explanation:

Distance Formula: sqrt_/(x1-x2)^2 + (y1-y2)^2

sqrt_/(-9-(-3))^2 + (3-(-5))^2

sqrt_/(-6)^2 + (8)^2

sqrt_/36+64

sqrt_/100

Simplify and you get the number 10.

Wesley makes spherical fish tanks with a diameter of 30 cm. A customer requests a smaller tank with half the volume of the tank that Wesley usually makes. What is the approximate diameter of the smaller tank?

Answers

Answer:

23.8

Step-by-step explanation:

v = 4/3 pi r cube

v =4/3 pi r (15) cube

v=4500 pi

v= 45000 pi /2=4/3pi r cube

1687.5=r cube

r =11.9

d =23.8

(please tell me if its wrong, if it is i will fix it!) :).

How do the points of a figure move in a translation?

A. Same distance and different direction

В. Same distance and same direction

C. Different distance and different direction

D. Different distance and same direction

plz help!!!!!

Answers

Answer: В. Same distance and same direction

Step-by-step explanation:

A translation is a  rigid transformation that maps each point of the original figure to a new position by the same distance and in the same direction.

It does not change the size or shape of the image.

Thus the correct statement relates to translation is "Same distance and same direction"

Hence, the correct option is B.

25+35j+55p

Answer factorised

Answers

Answer:

[tex]5(5+7j+11p)[/tex]

Step-by-step explanation:

Factor 5 out of  25  +  35j  +  55p.

Answer:

[tex]5(5 + 7j + 11p)[/tex]

Step-by-step explanation:

[tex]25 + 35j + 55p \\ [/tex]

factor 5

5 × 5 = 25

5 × 7 = 35

5 × 11 = 55

[tex]\boxed{Answer:{\boxed{\green{5(5 + 7j + 11p)}}}}[/tex]

Two wires, a = 90 ft apart, tether a balloon to the ground, as shown. How high is the balloon above the ground? (Round your ans

Answers

Answer:

180

Step-by-step explanation:

What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

Answers

Answer:

[tex]y=\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

[tex]x-2y=6[/tex]

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

[tex]x-2y-x=6-x\\-2y=-x+6[/tex]

Divide both sides by -2

[tex]y=\frac{1}{2} x-3[/tex]

Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{2}x+b[/tex]

Plug in the given point (-6,-8)

[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]

Add 3 to both sides to isolate b

[tex]-8+3=-3+b+3\\-5=b[/tex]

Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:

[tex]y=\frac{1}{2}x-5[/tex]

I hope this helps!

Write the expressions for the following:

(i) 3 added with the product of x and y.

(ii) 4 subtracted from the product of -2 and m.​

Answers

Answer:

i) (xy)+3 or 3+(xy)

ii) (-2×m)-4

Answer:

3+xy

-2m-4

Step-by-step explanation:

I don’t know the answer and I need help fast

Answers

Answer:

15? Hehehehehehehehehe....

4.2 is the answer mark me brainliest

ALRIGHT 66% WE NEED AT LEAST AN 80, WHAT WONDERFUL PERSON IS GONNA HELP!?

Answers

Answer:

I got 45

Step-by-step explanation:

so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.

Answer:

Formula of trapezoid:

B1(base 1) + B2(base 2) x Height(h) x 1/2

Area of Trapezoid:

10(base 1) + 6(base 2) = 16

16 x 5 = 80

80 x 1/2 = 40


[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.​

Answers

Answer :-0.65 , -15.34

12 18 , 9 6, 2 ?

help plz i cant find the relationship

Answers

Answer:

12,18 6 inbetween

Step-by-step explanation:

What is the volume of this prism? *

40 square units

20 cubic units

60 cubic units

80 square units

Answers

Answer:

60 cubic units

Step-by-step explanation:

4 x 5 x 3

Please help 15 points!!!

Answers

Answer:

20 m²

Step-by-step explanation:

Figure 1: 4 x 4 = 16

Figure 2: 2 x 2 = 4

16 + 4 = 20

What is the perimeter of the garage if d=3

I’m marking branliest

Answers

Answer:

perimeter= 46

Step-by-step explanation:

(3(3)-2) + (3(3)-2) + (5(3)+1) + (5(3)+1)

7 + 7 + 16 + 16

= 46

LABEL THE TRIANGLE!! PLEASE HELP!!

Answers

Answer:

Determination of HYP,OPP,ADJ with respect to x.

Opposite side of right angle:Hypotenuse: AC

Opposite side of given angle: Opp:BC

remaining side of a triangle: Adjacent:AB.

can some one help me plzz!! No links!!​

Answers

The answer is C.0,3 because One of Y equal 0 for X

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85

Answers

Answer:

$29, that is the answer for this question

Liz records her pet hamster's weight once every month for one year. How many observations does she make?

Answers

Answer: 12 observations

Step-by-step explanation:

1 year = 12 months

Number of observations = 1 per month

Therefore number of observations

for a year = 1 × 12

= 12 observations.

Which of the following is not a triangle similarity theorem

Answers

Answer:

D. SSA

Step-by-step explanation:

The SSA postulate does not exist because an angle and two sides does not guarantee that the two triangles are congruent. This is because if two triangles have two congruent sides but a non-included congruent side, this does not indicate that it is necessarily congruent.

Find the range of the relation {(-8,1),(-3,-6),(-7,-5),(9,5),(-2,9)}

Answers

Answer: (11,-4)
Explanation: the range is to subtract the maximum and the minimum. The maximum is 9,5 and the minimum is -2,9

In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
Enter your answer in the box. Round to the nearest hundredth.
units

Answers

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

d= 9.434 units

Hence the distance between the points is 9.434 units

I need to find this angle please help i know it is adjacent but i need the angle.

Answers

Answer:

148 degrees!

Step-by-step explanation:

They are 180 degrees together so just subtract 32. 180- 32 = 148.

Answer:

148°

Step-by-step explanation:

A flat angle measures 180°

180° - 32° = 148°

Please help. Thank you....

Answers

The answer is B

Hopefully this helps

A snow cone cup is 12cm tall and has a diameter or 8cm find the volume of the flavored ice that can be held inside the snow cone cup

Answers

Answer:

200.96 cm³

Step-by-step explanation:

Volume of a cone = πr²h/3

Pi, π = 3.14

Radius, r = diameter/2

= 8 cm/2

= 4 cm

Height, h = 12 cm

Volume of a cone = πr²h/3

= 3.14 * (4 cm)² * 12 cm / 3

= 3.14 * 16 cm² * 12 cm / 3

= 602.88 cm³/3

= 200.96 cm³

Volume of a cone = 200.96 cm³

A laptop is in the shape of a rectangular prism. The laptop has a length of 14
inches, a width of 10 inches, and a height of 1.5 inches.
What is the volume of the laptop?

Answers

Answer:

V=210 square inches

Step-by-step explanation:

Volume formula for a rectangular prism is V=lwh

So Volume=Length x Width x Height

V= 14 x 10 x 1.5

V=210 square inches

find angle a given that a=18.2, angle b=62° and angle c=48°

Answers

Answer:

They only add up to 128.2, so if they are asking for the final angle to equal 180, then it would equal 51.8.

Hope that this helps!

sheesh that kid is pretty smart

The perimeter of a rectangular field is 344m . If the length of the field is 93m , what is its width?

Answers

Answer:

width is 79 m

Step-by-step explanation:

P = 2l + 2w

344 = 2(93) + 2w

344 = 186 + 2w

158 = 2w

w = 158/2

w = 79

The answer above me is correct

PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP

Answers

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

#Carry on Learning

(5. solve for x )
2/5 + x = 1

Answers

X=3/5 for exact form of decimal it is x=0.6

у = х2 – 3х – 10
у = -2х + 2

Answers

Answer:

Step-by-step explanation:

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