The distance traveled by a snowball thrown straight down from the top of a bluff can be calculated with the equation d=ut+12gt2, where d is the distance traveled in meters, u is the initial velocity in meters per second, t is the time in seconds, and g is the acceleration due to gravity, which is 9.8ms2. If the snowball traveled 200 meters in 5 seconds, what was its initial velocity?

Answers

Answer 1

Answer:

15.5 m/s

Step-by-step explanation:

Using the equation, d = ut+1/2gt² where all the variables have meaning as given above, making u subject of the formula, we have

d = ut+1/2gt²

d - 1/2gt² = ut

d/t - 1/2gt²/t = u

u = d/t - 1/2gt

Since d = 200 m, t = 5 s and g = 9.8m/s², substituting the values of the variables into the equation, we have

u = d/t - 1/2gt

u = 200 m/5 s - 1/2 × 9.8m/s² × 5 s

u = 40 m/s - 49 m/s ÷ 2

u = 40 m/s - 24.5 m/s

u = 15.5 m/s

So, the initial speed of the snowball is 15.5 m/s

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Sue washes 25 cars in 5 hours. This means Sue washes cars per hour

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Answer:

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Answer:

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Step-by-step explanation:

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The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game

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The Game Bank charges an annual fee of $11 plus $2.50 per game.

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Answers

Answer:

2 games

Step-by-step explanation:

Given data

The Fun Guys game

charges annual fee of $5 plus $5.50 per game

let the number of games be x

and the total charges be y

The expression for the total is

y=5+5.5x---------------1

The Game Bank

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y=11+2.5x---------------2

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Answers

Answer:

Step-by-step explanation:

Bringing like terms on one side

38 + 10 < 4x

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f(x) = 5x^2 + 14
g(x) = 4x + 8
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Answers

Answer:

it is 24

Step-by-step explanation:

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Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar

Answers

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

The two triangles are similar triangles using AA postulate.

What are Similar Figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.

Hence, the two triangles are similar triangles using AA postulate.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:They are like terms!

Step-by-step explanation:

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Answer:

Step-by-step explanation: set the two equations equal to each other. 5-2x=-4x+9 and you'd get x=2. insert 2 into the expression, and you'd get 1. to find the perimeter, a triangle has 3 sides. 1+1+1 =3

if angle KLJ~angle VWU. Find the x value

Answers

Answer:

Step-by-step explanation:

Since angle KLJ~angle VWU are similar :

KL / WV = KJ/ UV

(25 / 20) = (4x - 23 / 2x + 2)

Cross multiply :

25(2x + 2) = 20(4x - 23)

50x + 50 = 80x - 460

50x - 80x = - 460 - 50

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Pls help I’m being timed

Answers

I believe it’s B and not c

A pair of shoes usually sells for $60. If the shoes are 20% off, and sales tax is 7%, what is the total price of the shoes, including tax?

Answers

Answer:

$50.88

Step-by-step explanation:

Adjusted Price without tax = 0.8 * 60,

0.8 * 60 = 48,

With Tax = 1.06 * 48,

1.06 * 48 = 50.88

∴ New Price = 50.88

Answer:

Its $12.84

Step-by-step explanation:

20 percent of $60 is 12, and the sales tax is $.84, so you add those two together and you get $12.84! Hopes this helps and good luck!

When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!! ‍
False

True

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Step-by-step explanation:

Find the value of x and the value of y.
A. x = 130, y = 50
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D. x = 145, y = 35

Answers

Answer:

B. x = 135, y = 45

Step-by-step explanation:

x° + y° = 180° {suplementary angles}

x° = 3y° {corresponding angles by parallel lines}

So:

3y° + y° = 180°

4y° = 180°

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Answers

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Answers

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Step-by-step explanation:

*PLEASE HELP ME ASAP* Sydnis room is 32 ft by 40 ft. She needs to make a scale drawing of her room that is 8 in. by 10 inc. What is the scale she needs to use?
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Answers

Answer:

10 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

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Answers

Combine
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9
5
9
and
y
y
.
42
+
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y
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Answers

Answer:

Train A is 287 tons

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Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

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Step-by-step explanation:

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Divide the people who costed today by the percentage:

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Answers

Answer:

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Step-by-step explanation:

In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.

Answers

Answer:

1374

Step-by-step explanation:

delta math

The length of the side k in the given triangle is 1,373.9 cm.

What is cosine law?

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,

Using the cosine law,

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Learn more about cosine law, click;

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