A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from

Answers

Answer 1

Answer:

a)40.5m

b)139.5m

Step-by-step explanation:

Considering downward as 'positive' y-direction

[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]

First is to resolve initial velocity into x and y component:

[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]

a) in order to find horizontal position of the ball:

[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]

[tex]x_f= 8.1\times5=40.5m[/tex]

b) To find the height that the ball was thrown from(vertical position):

[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]


Related Questions

Find the surface area of a sphere. Use 3.14 for pi and round to the nearest tenth.

R=6.25

Answers

Yes that is correct 3.14 is r = 6.25 smile

Please help me with my question!!

Answers

[tex](5^3)^7[/tex]

[tex]5^{3 \times 7}[/tex]

[tex]5^{21}[/tex]

Answer:3*7=21 not 10

You have to multiply the number outside brackets with the inner number

Step-by-step explanation:

I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5

Answers

Answer:

(2,7)

Step-by-step explanation:

y=6x-5

y=x+5

Since they are both equal to y, set them equal to each other

6x-5 = x+5

Subtract x from each side

6x-x-5 = x+5-x

5x-5 = 5

Add 5 to each side

5x-5 +5 = 5+5

5x=10

Divide by 5

5x/5 = 10/5

x=2

y = x+5

y = 2+5

y =7

Answer:

Choice C: (2,7)

Step-by-step explanation:

Using substitution method let y = x + 5

We have x + 5 = 6x - 5

Get let’s get rid of the 6x, so -5x + 5 = -5

Get rid of the 5 by subtracting by 5, so -5x = -10

Divide -5 on both sides and you get x = 2

Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.

So (2,7)

Please mark BRAINLIEST!

what is the point-slope form of a line with slope -3 that contains the point 10, -1

Answers

Answer:

C.  [tex] y + 1 = -3(x - 10) [/tex]

Step-by-step explanation:

The point-slope equation of a line:

[tex] y - y_1 = m(x - x_1) [/tex]

where m = slope, and the point is (x1, y1).

In this case, the point is (10, -1), so x1 = 10 and y1 = -1.

The slope is -3, so m = -3.

[tex] y - (-1) = -3(x - 10) [/tex]

[tex] y + 1 = -3(x - 10) [/tex]

In a test +3 marks are given for every correct answer and -1 mark for every incorrect answer. Sona attempted all the questions and scored +20 marks through she got 10 correct answers. How many questions were asked?

Answers

Answer: 20

Step-by-step explanation:

(i) Sona got 10 answers correct.

1 correct answer = 3 marks

10 correct answers = 10×3 = 30 marks but she got only 20

1 wrong answer = -1 mark

that means she attempted 10 incorrect answers.

  

No.of questions in the test= no.of incorrect + no.of correct answers

10+10= 20

Solve the equation for y: x = 2y - 3

Answers

Answer:

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

Step-by-step explanation:

The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?

Answers

Answer:

68

ignore the rest of this i need 20 charecters

Answer:

68%

Step-by-step explanation:

what is 25,00+30,00=

Answers

Answer:

5,500

Step-by-step explanation:

2,500 + 3,000:

2000 + 3000 + 500

5000 + 500

5500

Easy!

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to _____ and the measure of angle 1 is_____ degrees. The measure of angle 8 is _____ degrees.

Answers

Answer:

-11

Step-by-step explanation:

Explain how to solve this problem by writing down the steps. The grass on the field erodes by -1 1/2% every year. If the total length of grass on the field was 220 feet long 3 years ago, how long is the length of grass on the field now?

Answers

Answer:

Step-by-step explanation:

Since the grass on the field erodes by -1 1/2% every year, it means that the rate of erosion is exponential. It is therefore eroding in geometric progression. We would apply the formula for determining the sum of n terms of a geometric sequence which is expressed as

Sn = a(1 - r^n)/(1 - r)

Where

n represents the number of terms(number of years) in the sequence.

a represents the first term in the sequence(the length 3 years ago)

r represents the common ratio(rate of erosion)

From the information given,

a = 220 feet

r = - 1.5/100 = - 0.015

n = 3

Therefore, the length of the field after 3 years, S3(length of the field now) would be

Sn = a(1 - r^n)/(1 - r)

S3 = 220(1 - (- 0.015^3)/(1 - - 0.015)

S3 = 220.0007425/1.015

S3 = 216.7495 feet

Please help me please

Answers

Answer:

SAS similarity theorem

Step-by-step explanation:

Both the triangles are similar by SAS similarity theorem.

4x+3=-10x+ 3 in simples form

Answers

Answer:

14x=0

Step-by-step explanation:

Answer

14x+3=3

add 10x to both sides

What is the value of x in the equation - 3X+9
x+9= 3-37?​

Answers

3x+9x+9=3-37.
3x+9x=12x+9
3-37=-34
12x+9=-34
Cancel 9 out
12x=-43
Divide by 12
X=-3.5

the scale on a map is 1 cm : 7km. if two cities are 15 cm apart of the map, what is the actual distance between the cities?​

Answers

Answer:

x = 105 km

Step-by-step explanation:

We can use ratios to solve

1 cm               15 cm

------------ = ------------

7 km            x km

Using cross products

1 * x = 7 * 15

x = 105 km

Answer:

[tex]105km[/tex]

c

Step-by-step explanation:

[tex]1cm = > 7km \\ 1cm = > 700000[/tex]

[tex]1 : 70000[/tex]

[tex]1cm = > 700000cm \\ 15cm = > x[/tex]

[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]

Use cross multiply

[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]

so,

[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]

[tex]15cm = 10,500m \\ 15cm = 105km[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are drawn from point B to points A and D to form 3 triangles within the larger triangle. Angle C B D is 125 degrees. The length of line segment A C is 52 centimeters and the length of line segment B D is 29 centimeters. If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options. m∠ABC = 125° and AB ≅ DB ΔACD is isosceles with base AD ΔABD is isosceles with base AD CD = 52 cm AB = 29 cm

Answers

Answer:

it's A B D i don't know why the other person couldn't have just said that and make it look confusing

Answer:

A< B< D

Step-by-step explanation:

Answer anyone please ?!

Answers

Answer:

A & D

Step-by-step explanation:

Vertical angles are equivalent angles made by intersecting lines. ISN and TSW, and TSN and ISW face each other and are equivalent.

a) ISN and TSW
They’re opposite angles made from 2 intersecting lines.

Find the Shaded area 12 cm 18cm 8cm 8cm

Answers

Answer:

3,456

Step-by-step explanation:

12x18x(8x2)= 3,456

Can someone help me solve this?

Answers

Answer:

233.5

Step-by-step explanation:

step 1. A=wl=8·20=160

step 2. A=wl=6·12=72

step 3. A=ab

2=3·1

2=1.5

step 4.  160+72+1.5= 233.5

If m∠P = (7x – 22) ° and ∠P is a right angle, find the value of x.

Answers

Answer:

16

Step-by-step explanation:

If P is a right angle the the value of 7x - 22 would be equal to 90°

7x - 22 = 90°

7x = 112°

x = 16

11. Michael is trying to rent a car during his vacation. He finds two companies
with the following deals.
Carol's Car Rentals
AL's Auto Rentals
$180 down payment
+ $15 per day
$250 down payment
$s per day
+
Part A: Write an expression that represents the cost at Carol's Car Rentals for (d)
days.
Your answer

Answers

Answer:

$180 + $15d

Step-by-step explanation:

Since Carol's Car Rentals offers a deal of $180 down payment  + $15 per day and AL's Auto Rentals offer a deal of $250 down payment  $5 per day. To calculate the cost of Carol's Car Rentals deal, we use the formula:

cost of Carol's Car Rentals = Down payment + cost per day.

If you are to rent at Carol's Car Rentals for d days; The cost of Carol's Car Rentals = Down payment + cost per day = $180 + $15 per day × d days

cost of Carol's Car Rentals = $180 + $15d

4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)

Answers

Step-by-step explanation:

SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.

[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18

is it true or false , why and why not ?

9a is equivalent to 11a - 2a

Answers

Answer:

true

Step-by-step explanation:

11a - 2a

Factor out a

a(11-2)

a *9

9a

Answer:

9a is equivalent to 11a - 2a because 11a-2a=9a

Step-by-step explanation:

when rewriting in the form y=a(x-h)+k, by completing the square, the relation y=-x*2+6x+12 becomes:

Answers

Answer:

Step-by-step explanation:

you can complete the square or use a calculator online that does it for you.

the equation is in the for y = a(x-h)^2 + k

it should be y = (x + 3)^2 + 3

Answer:

The correct answer is [tex]y = - (x - 3)^{2} +21[/tex].

Step-by-step explanation:

To solve this equation (y = [tex]-x^{2} +6x + 12[/tex]), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve [tex]y = -x^{2} +6x - 9 + 12[/tex].

Then, you want to add the -9 to the other side of the equation to get [tex]y - 9 = -x^{2} + 6x - 9 + 12[/tex].

Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with [tex]y - 9 = -(x^{2} -6x+9) + 12[/tex].

Now, we use an identity in algebra that is difference of two squares identity. This says that [tex]a^{2} -2ab +b^{2} =(a-b)^{2}[/tex].

So, we will then factor the trinomial -[tex]x^{2} -6x+9[/tex] to get [tex]-(x-3)^{2}[/tex]. Our new and updated equation is [tex]y-9 = -(x-3)^{2} +12[/tex].

Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us [tex]y = -(x-3)^{2} +21[/tex].

This is our final equation.

pls help me fast as u can
pls

Answers

Answer:

                        M5 W11 C1-CLASS ASSIGNMENT-LEVEL-1

I.Convert the following into minutes

a)2 hours 12 minutes 72  

b)7 hours 45 minutes 465

II.Convert the following into seconds.

a)1 hour 4 minutes 26 seconds 3866

b)2 minutes 43 seconds 163  

III.

a) 246 minutes= 4 hours 6 minutes

b) 117 seconds= 1  minutes 57 seconds

Step-by-step explanation:

if its wrong sorry i tried mmy best

compare: 3 5/7 to 3 6/10 which one is greater

Answers

Answer:

3 5/7

Step-by-step explanation:

First we need to get a common denominator.

We can do this by multiplying the fractions by opposite denominators.

This gets us 3 50/70 and 3 42/70

Now we can see that 3 5/7 is greater

Steps:

Using the given inputs: 3  5/7   and  3  6/10

Rewriting these inputs as fractions:  3 5/7                3 6/10

                                                            26/7                 36/10

The least common denominator (LCD) is: 70.

Rewriting as equivalent fractions with the LCD:      3 5/7             3 6/10

                                                                                    260/70     252/70

Comparing the numerators of the equivalent fractions we have:

3 5/7   3 6/10

260/70 > 252/70

Comparison shows:  3 5/7 > 3 6/10

Answer: 3 5/7 > 3 6/10

Please mark brainliest

Hope this helps.

Let f(x) = 2x, g(x) = x2 + 2, and h(x) = 4x +3. Find the composite function.
(F*g)

Answers

Answer:

(f * g)(x) = 2(x²) + 4

Step-by-step explanation:

Explanation:-

let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3

(f * g)(x)  = f(g(x)) = f(x² + 2)

                           = 2(x² + 2)

                           = 2(x²) + 4

final answer:-

(f * g)(x) = 2(x²) + 4

The complex solution to a quadratic equation is below. Write this solution in standard form, a+bi, where a and b are real numbers. What are the values of a and b.​

Answers

Answer:

a = -6 and b = 3√2

Step-by-step explanation:

Given the complex solution below;

x = (-24±√-288)/4

Re writing in the standard format a,+bi

x =( -24±√144×√2×√-1)/4

In complex notation, i = √-1

x = (-24±√144×√2×i)/4

x = ( -24±12×√2i)/4

x = -24/4±12√2i/4

x = -6±3√2i

Comparing the resulting complex number with a+bi

a = -6 and b = 3√2

2. What is the distance between the points M(-8,11) and N(3,7)?
a) 11.7
b) 10.2
c) 18.7
d) 19.4

Answers

Answer:

I'm not sure I feel like it's A

Step-by-step explanation:

-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.

If I were you I would not trust my answer

The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The two points are:

M(-8,11) and N(3,7)

From the distance formula, we can find the distance between these two points:

Applying the distance formula:

[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]

d = √137

d = 11.7 units

Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

Learn more about the distance formula here:

brainly.com/question/18296211

#SPJ2

Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)

Answers

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

Which ordered pair makes both inequalities true? y x On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)

Answers

Answer:

  (-2, 2)

Step-by-step explanation:

Plotting the points on the graph can show you which is in the shaded area. That point is (-2, 2).

Answer:

(-2,2)

Step-by-step explanation:

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