The quadratic function h(t) = −4.9t^2 + 50t + 2 represents the height, in meters, of a toy rocket t seconds after launch. How many seconds will it take the toy to reach the ground? State your answer to the nearest whole second.

Answers

Answer 1

Answer:

The toy reaches the ground in 10 sec

Step-by-step explanation:

When the rocket hits the ground, h becomes zero (0).  Thus, our problem here is to solve the equation h(t) = −4.9t^2 + 50t + 2 = 0,

Because of the fractional coefficient -4.9, it's best to use the quadratic equation here.  The coefficients of the t terms are {-4.9, 50, 2}.  Thus,

the discriminant is b^2 - 4ac  = 50² - 4(-4.9)(2) = 2539.2, and the square root of this is 50.39.

The quadratic formula is as follows:

      -b ± √discriminant

t = -------------------------------

                 2a

which here is:

      -50 ± 50.39

t = ------------------------      Since t represents time, only the positive result

               -9.8                 is relevant here; it is 10.24 sec,

which rounds off to 10 sec

The toy reaches the ground in 10 sec

Answer 2
it reaches the ground in 10 sec

Related Questions

Please help screen shot bellow.

Answers

-1/4

This will remain its absolute value

Answer:

absolute value is the oppistie of the number so if it is positive is will turn negative so i think the answer is C

pls help me i have to have assignments by 11:00pm so pls help me

Answers

Answer: The answer to Number 4 is 1!

Step-by-step explanation:

First you solve for the numbers in parentheses. 16 - 7 is 9, and 2 x 4 is 8. Then you solve for the remaining numbers. So 9 - 8 is indeed 1.

Hope this helps! :)

Answer:

The answer to number 2 is 1

Step-by-step explanation:

[tex] \frac{1}{5} \times 5 = \frac{1}{5} \times \frac{5}{1} \\ \\ \frac{5 \times 1}{5 \times 1 } = \frac{5}{5} = \frac{1}{1} = 1[/tex]

The following triangle is an isosceles triangle. What is the length of the missing side?
A. 4 in
B. 37°
C. 53°
D. 11 in

Answers

Answer:

D.11 in

Step-by-step explanation:

isosceles triangles have two congruent sides

The missing side length is congruent with the longer side ( this is pretty obvious )

If the longer side has a length of 11in and the missing side is congruent to the longer side then the missing side length equals 11 in

Plz help will be marked BRAINLIEST!
Thanks

Answers

Answer:

a) a + c = 90

d) a + b + c + 30 = 180

e) The angles marked a and b are vertical

f) The angles marked a and c are complementary.

Step-by-step explanation:

A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.

Hope this helps! Have a wonderful rest of your day!

-kiniwih426

kini is correct, have a good day/night !!





-bianca

which angle is supplementary to 16 ?

Answers

I’m no math teacher but I think it’s 13

Answer:

Make me a Brainlist pls

Step-by-step explanation:

angle 13 is supplementary to angle 16 bcoz of the property of linear pair

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve the following equation.
-5 = s- 3

Answers

Answer:

s=-2

Step-by-step explanation:

-5=s-3

+3 +3

-2=s

Hope this helps! :)

Answer:

-2

Step-by-step explanation: I think of it like regular subtraction, you go backwards by 3 to get -5.

please help me with the questions below

Answers

Answer:

2) 3/4 of the girls did not have 1 piece bathing suits

3) 4/6 were at the kiddie pool

4) 1/3 was boys

sorry if this was wrong

3/4 of the girls did not have a bathing suit. Since 1/4 of the girls did that would leave 3 out of the four left.

pls help im failing lol Which side lengths form a right triangle?

Answers

Answer:

4 4 8

Step-by-step explanation:

b

Answer:

A

Step-by-step explanation:

i did the math and it took forever please mark brainliest :)

For each pair of points, think about the line that joins them.

For which pair(s) is the line parallel to the x-axis?

Select all correct answers.

Answers

Answer:

fd

Step-by-step explanation:

spañol

Answer:

The answer might be number b

please help! i don’t understand this question thank youuuu

Answers

can i see it with the drop menus down
I’ll come back n help

PLS HELP ME
Fine the circumference

Answers

Bgggvhhgfb dgfvvvcfvv

Answer:

2. 153.93804

Step-by-step explanation:

7 squared times pi is 153.93804

Write an equation that represents the line. Use exact numbers.

Answers

y = 6/5x -5

6/5 is your slope. Slope is always rise over run or y over x. -5 is the y- intercept. What is y when x is zero.

Y= 6/5x -5
The slope/change is 6/5 and the y-intercept is -5 which is where the line hits the y-axis

Two boats leave the same harbor in Hawaii at the same time. Boat A is traveling due west at a speed of 45mph. Boat B is traveling due north at a speed of 60mph. How far apart will the boats be in 1 hour? How far apart will the boats be in 3 hours?

Answers

I quickly did this on paper and here is my answer I’m not 100% sure I’m correct but here it is

In 1 hour the boats will be 15 miles apart. In 3 hours the boats will be 45 miles apart.

Hope this helps :D
For and hour it’ll be 15 and for 3 it’ll be 45

Help please?!!!!!!!!:8/8/&

Answers

Answer:

The answer is A)  y =3x + 3

Step-by-step explanation:

You substitute the gradient and y intercept into the equation of y = mx +b

the answer is A.) y=3x+3

Given the table of the following quadratic function, which statement about this function is NOT true?

A. The y-intercept of f(x) is 6.
B. The zeros of the function f(x) are -3 and 1.
C. The minimum of the function f(x) is 8.
D. The axis of symmetry of the function f(x) is x = -1.

Answers

C is the incorrect answer

Can I have help for question B, my answer doesn't give me the mark.

Answers

Answer:

isosceles triangle

Step-by-step explanation:

find surface area of the square pyramid!!! pls i need help with explaining!!!!!

Answers

Answer:

39 square yards

Step-by-step explanation:

The base is a square, so the area is 3 x 3 = 9.

Each side is a triangle, and the formula for that is (1/2)(base)(height)

The base of each side is 3 and the height of each is 5. There are 4 of those, so it's 4 x (1/2)(3)(5) = (2)(3)(5) = 30

Add the base and sides

30 + 9 = 39

Answer:

39 yards

Step-by-step explanation:

surface area = A + [tex]\frac{1}{2}[/tex] ps

A = area of the base

p = perimeter of the base

s = slant height

the base of the pyramid is a square, all sides and angles are equal

; 3 yards

; area of a square  = l x w

; area of the base = 9 yd (A)

perimeter of the base ; 3 + 3 + 3 + 3 = 12 yd (p)

slant height = 5 yd (s)

; sub it into the formula

surface area  = 9 + [tex]\frac{1}{2}[/tex] x 12 x 5

surface area = 39 yd

Hw help (again)
hope everyone is having a wonderful day <3

Answers

Answer:

The numbers are 8 and 6

Step-by-step explanation:

Let x and y be the two numbers

x+y = 14

x-y = 2

Add the two equations together

x+y = 14

x-y = 2

--------------

2x +0y = 16

Divide by 2

2x/2 = 16/2

x = 8

Now find y

x+y = 14

8+y =14

Subtract 8 from each side

8+y-8 =14-8

y =6

The numbers are 8 and 6

Answer:

8 and 6

Step-by-step explanation:

pls help im almost done. Find the value of x in the triangle shown below.

Answers

Answer:

x = 5

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

x=5 because the
thero

Help!!!! please help me !!!!!!

Answers

Answer:

8 1/2

Step-by-step explanation:

I converted to decimals to make it easier :)

9.75 - 2.2 + 0.5

This is equal to 8.05, which is equal to 8 and 5/100, or 8 and 1/20

8 1/20 .8 whole number and 1/20 is fraction

[Help Please!] Find the value of x.

Answers

Answer:

x = 52

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles of a triangle

x+72 = 34+90

x +72 =124

Subtract 72 from each side

x = 124-72

x =52

Answer:

x = 52 degrees

Step-by-step explanation:

Let's first focus on the angle x + 72.  Immediately adjacent to x + 72 is angle RQS.  These two angles are "straight" in that they lie immediately adjacent to one another and add up to 180 degrees.  Then angle RQS can be expressed as

180 degrees - (x + 72 degrees), or 108 - x degrees.

The three interior angles of the triangle must add up to 180 degrees.  Hence

108 - x degrees + 34 degrees + 90 degrees = 180 degrees, and so:

108 - x + 34 = 90

This yields x = 52 degrees.

The area of the rectangular floor in Tamara's room is 95 5/6 square
feet. The width of the room is 8 1/3 feet. What is the length of Tamara's
room?

Answers

area of rectangle is width × length
which means area of rectangular floor in Tamara's room = width of room × length of room
-> 95 ⅚ sq feet = 8 ⅓ feet × length of
->(95 + 5/6) sq feet = (8 + 1/3) feet × length of room
->575/6 sq feet = 25/3 feet × length of room
length of room = (575/6)/(25/3)
= 575 × 3/6 × 25)
= 23/2
= 11 ½ feet
Area of the 346+99;$ djdjekdjdjj

im very confused on this please help me:)

Answers

The constant rate of change is how much y increases every time x increases by 1. We might be confused because in this table, we see a number of points, but we don't see any consecutive x-values, so it might seem difficult. But no worries!

All you have to do is calculate using the formula, Δy divided by Δx. What does Δy divided by Δx mean?

All we have to do is look at two points. Let's take, for example, (-2, -10) and (2, -8).

-2 and 2 are the x-values of the points and -10 and -8 are the y-values of the points as coordinates are in the format of (x, y).

All we have to do is minus the y-coordinates and then proceed the minus the x-coordinates. The order does not matter, as in you can do either of these ways:

[(-10) - (-8)] ÷ [(-2) - (2)] = -2 / -4 = 1/2

or

[(-8) - (-10)] ÷ [(2) - (-2)] = 2 / 4 = 1/2

So the constant rate of change or the answer is 1/2.

Answer is 1/2 hope this helps

Hi this is 7th grade geometry with screenshot

Answers

Answer:

80

Step-by-step explanation:

ㄥAEC+160=180

ㄥAEC=20

ㄥAEC+x+80=180

20+x+80=180

x=80

There is a more simple method

x+80=160

x=80

It’s 80 because it is and it’s right

Pls name a set of vertical angles in the image below:

Answers

Answer:

1 and 3 ; 2 and 4

Step-by-step explanation:

Vertical angles are two angles that have the same vertex. They are congruent

Answer:

1 and 3 are vertical angles

2 and 4 are vertical angles

Step-by-step explanation:

Vertical angles are angles formed by the same lines but are opposite each other

1 and 3 are vertical angles

2 and 4 are vertical angles

Please help!!!!!!!!!!!!!!!!!!!!

Answers

1. Corresponding

2. Angle 8
the first one is corresponding
the second one is angle 8

HELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKK

Answers

Answer:

D

Step-by-step explanation:

the answer is D. y=1/2x+1

Can you plzz find the width...and give steps

Answers

The width will be 12 inches for Joy’s toy chest

Step 1. Find the volume of the Son’s chest:
(It is a rectangular prism) 30 x 16 x 24 =
11,520 cubic inches

I used the formula length x width x height.

Step 2. Make an equation to solve for the volume of the chest the daughter will have:
24 x 40 x w = 11,520 in2
11,520 because its said that the two chests should be teh same volume.

Step 3. Multiply the two dimensions of the daughters chest and divide it by the volume of the son’s chest:
11, 520/24 x 40 = 12
We divide it because we use the same formula for the volume of the rectangular prism, so to find the width, divide the length x height by the volume (this is proportionality)

Lets check it:
Volume of daughter’s chest:
12 x 40 x 24 = 11,520

Volume of Son’s chest:
30 x 16 x 24= 11,520

HAVE A NICE DAY

Answer:

12

Step-by-step explanation:

We know that Tyler's chest has a length of 30 inches, width of 16, and a height of 24 inches. To find the volume of the chest, multiply the length by width by height: 24*30*16 = 11,520 in^3 The volume is 11,520.

Juliet's chest will Have a length of 40 inches and the same height as Tyler's chest, or 24 inches. It also has the same volume of Tyler's chest, or 11,520

So Tyler's chest is 24 by 30 by 16 inches, and is 11,520 inches^3

Juliet's chest will be 40 by ? by 24 inches, and will be 11,520 inches^2.

We have to find the width of Juliet's chest. To do that, we have to divide the length times height of Juliet's chest by The volume of her chest, or

11,520/(40*24) = 11,520/960 = 12

Her chest is 12 inches wide

Please help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4. alternate exterior angles

5. 4.5

Alternate exterior angles 5.45 hope this helps

How do I solve this?

Answers

Answer:

We know the width maybe 22ft and at its widest.

IF we say 3 triangles can be fit into a polygon given 2 sides then we 180 x 3 = 560 degree if its 3 rectangles then if it is easier to make 4 rectangles if square shape we can subtract the smaller measures of the missing rectangle.

With triangles;

The number of triangles is always 2 less than that that of its sides.

= 3 triangles + 2 = 5 sides.

The sum of interior angles

(n-2) x 180 = 540 degree

5-2 x 180

To determine the amount of sides; we remember

(n-2) 180

360 = (n-2) 180

+360 = 180 -360 +180

+360 = 180 = (3 triangles with 180)

900/180 = 5 sides.

If we say 5 triangles created with 3 given lengths

then same rule applies n-2 (180)

=7 sides

= if regular shape largest line 22 x 7 = 154 ft sq = Area.

Answer:

374

Step-by-step explanation:

First do the area of the triangle 7 x 22 = 308 308/2 = 154 22 x 10 = 220 220+154 =374

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