A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds and v0 is the initial velocity.

If the intial velocity is 49 m/sec, after how many seconds will the rocket reach its maximum height?

a. 5
b. 15
c. 10

9514 1404 393

Answer:

  36°

Step-by-step explanation:

Each exterior angle is 360°/5 = 72°. This is the base angle of the isosceles triangle formed by drawing a line opposite angle y at the corners of the pentagons.

The angle y is ...

  y = 180° -2(72°)

  y = 36°

Answer:

A dilation

Step-by-step explanation:

I did this in math

Hope I helped! Have a nice day! Plz mar as brainliest!!! :D

-XxDeathshotxX

Answer:

This is a nonrigid transformation called a dilation.

Step-by-step explanation:

A dilation is when a pre-image's dimensions are altered in proportion with the pre-image. The image has a proportional relationship with the pre-image. The shape can get larger or smaller in size.

Answer:

Step-by-step explanation:

The simplest way to do this is to break in into parts

When you combine these two you get 8 * 10^8

The equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Suppose the given points are [tex](x_1, y_1) and (x_2, y_2),[/tex]

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We have been given a line passing through the point (8, 9) with a slope of 3.

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Its slope would be:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 3

Therefore, the equation of the straight line

[tex](y - 9) = 3 (x -8)\\\\y - 9 = 3x - 24\\\\y = 3x -15[/tex]

Hence, the equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

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Answer:

1075 sq ft

Step-by-step explanation:

There are a few ways to do this but I am only going to show one.

35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075

Answer:

Step-by-step explanation:

Perimeter of Park 1 = 2*(54+38)

                               = 2 * 92

                               =184 feet

Perimeter of park 2 = 2*(32+ 22)

                                = 2 * 54

                               = 108 feet

Total distance = Perimeter of park 1 + perimeter of park 2

                       = 184 + 108

                       = 292

9514 1404 393

Answer:

  $222,822.57

Step-by-step explanation:

The account balance is given by ...

  A = P·e^(rt)

where P is the principal invested at interest rate r for t years.

  A = $25,000×e^(0.0875·25) ≈ $222,822.57

Answer:

B

Step-by-step explanation:

f(x) = 3x - 7

g(x) = 8x + 2

f(x) * g(x) = (3x - 7)(8x + 2)     {Use FOIL method}

              = 3x*8x + 3x *2  +(-7)*8x + (-7)*2

             = 24x² + 6x  - 56x - 14      {Combine like terms}

             =24x² - 50x - 14  

Answer:

The answers are:

The height is 6

The radius is 8

The volume is 128 π cubic units.

Step-by-step explanation:

The height is shown in the picture. So the first answer is 6.

To find the radius, you use the equation. [tex]\sqrt{slant height^{2}- height^{2} }[/tex] = radius

The slant height 10, and the height is 6. So you plug those into the equation and solve.

[tex]\sqrt{10^{2}-6^{2} }[/tex] =

[tex]\sqrt{100-36}[/tex] =

[tex]\sqrt{64}[/tex] = 8

So the radius is 8.

Now we use the equation [tex]\pi[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex] = volume.

[tex]\pi[/tex][tex]8^{2}[/tex] [tex]\frac{6}{3}[/tex] =

[tex]\pi[/tex]64 [tex]\frac{6}{3}[/tex] =

[tex]\pi[/tex] 64(2) = 128 [tex]\pi[/tex] cubic units

I hoped this helped you. I would love brainiest.

The statements about the cone is that,

The height is 6 units, the radius is 8 units and the volume is 128π cubic units.

Volume of a three dimensional shape is the space occupied by the shape.

Given a cone.

We have to find the complete the statements related to the cone.

From the figure,

height of the cone = 6 units

Using the Pythagoras theorem,

Radius of the cone = √(10² - 6²) = 8 units

Volume of the cone = 1/3 π r² h

                                 = 1/3 π × 8² × 6

                                 = 128π cubic units

Hence the height, radius and volume of the cone are 6 units, 8 units and 128π cubic units respectively.

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Answer and explanation:

The answer is actually -3. We already know f(x)/y is equal to 0, so the equation is then simplified to 0 = 2x - 6. You do inverse operation, so then -6 = 2x. Then -6 divided by 2 is -3. So -3 = x. Therefore, the zero of the function f(x) = 2x – 6 is -3.

Answer:

774.25

Step-by-step explanation:

8.75 becomes .0875 because it is 8.75%/100%

711.95 x .0875 = 62.295625

add the cost (711.95) and the tax (62.295625)

711.95 + 62.295625 = 774.245625

rounded = 774.25

Answer:

what they said ^^

Step-by-step explanation:

I did this so no one puts the incorrect answer

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

In totality, 12 tech employees are on leave

Thus,

[tex]\frac{20}{100} * X = 12[/tex]

On solving the above mathematical equation, we get -

[tex]X = \frac{12*100}{20} \\X = 60[/tex]

Hence, there are 60 tech workers altogether

How do you classify a triangle by its angle?

An acute triangle has three angles that each measure less than 90 degrees. An equilateral triangle is a triangle in which all three sides are the same length. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.

Step-by-step explanation:

Answer:

128 banana's... I would work it all out for u but the teacher just came in my room and had a go

Answer: 128

Step-by-step explanation:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

20% = 20/100 = 20 ÷ 100 = 0.2.

100% = 100/100 = 100 ÷ 100 = 1.

Answer:

8

Step-by-step explanation:

Distance= √(-4-4)² + (7-7)²

= √(-8)² + (0)²

= √64

= 8

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

14.34 x 21 - 2.40 x 7 = 284.55

Answer: 2.5 + π is an irrational number.

Step-by-step explanation:

Irrational numbers are numbers that can not be written as the quotient of two integer numbers, and they have an infinite number of digits after the decimal point (such that there is not periodicity in these digits).

So suppose that we have an irrational number and we add 1, then the infinite digits after the decimal point will still be there, so the sum will be also an irrational number.

The same can be seen for the sum between an irrational number and a rational number, where the infinite number of decimals after the decimal point will still be there (because the rational numbers have a finite or infinite but periodical decimals after the decimal point), so the sum between an irrational number and a rational number is always irrational.

In this case, we have the addition:

2.5 + π

Which is the sum of a rational number and an irrational number, so we can conclude that this is an irrational number.

Answer:

n ≤ 13

Step-by-step explanation:

≤ is a symbol used to show less than or equal to. Since n is less than or equal to 13, you will put it like n ≤ 13.

Answer:

1.668x10^13

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

8 out of 160 is 0.05 which is also 5%

Step-by-step explanation:

yea the answer us 8dj but u jejrjfjfjdjdjjfjfjcj

Answer:  0.58

Step-by-step explanation:

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

Answer: 0.58

Step-by-step explanation:

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

ANSWER =  0.58

Answer:

When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together.

Step-by-step explanation:

its there

Answer:

​hsjebsysgdkbsvehejkebegdhjebebfdsjnebdhdnebehhwbhakj d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Okay so on Saturday there is a 30% sale plus she comes early so +10% and that makes 40% off.

10% of 400=40

multiply by 4 to get 40%, 40*4=40%

40%=160

400-160=240

Hope this helps

400 x 0.30 = 120

400 - 120 = 280

280 x 0.10 = 28

280 - 28 = 252

So 252 is you answer.