A baseball is hit at an angle θ horizontal with the ground. Suppose the initial velocity is 100 feet per second. An outfielder catches the ball 300 feet from home plate. The range is determined by the following function: range=1/32 v_0^2 sin⁡〖(2θ)〗. Find the angle.

Answers

Answer 1

Answer:

The angle of projection is 36.86 degree.

Step-by-step explanation:

speed, u = 100 ft/ s

range, R = 300 ft

Use the formula of range

[tex]R = \frac{u^2 sin2\theta}{g}\\\\300 =\frac{100\times 100 sin2\theta}{32}\\\\sin2\theta =0.96\\\\2\theta =73.74^o\\\\\theta = 36.86^o[/tex]


Related Questions

which table shows a non linear relationships between x and y

Answers

Answer:

both of them thats the answer

Step-by-step explanation:

A semi-elliptical arch rises 20 feet above a channel connecting two lakes. The width of the ellipse measures 50 feet. Write an equation of the ellipse. Let the center of the channel be located at the origin.

Answers

9514 1404 393

Answer:

  x^2/625 +y^2/400 = 1

Step-by-step explanation:

The semi-major axis is a=25, the semi-minor axis is b=20. The equation is ...

  x^2/a^2 +y^2/b^2 = 1

  x^2/625 +y^2/400 = 1

I'm so confused, please help!

A family wants to purchase a house that costs ​$120,000. They plan to take out a ​$100,000 mortgage on the house and put ​$20,000 as a down payment. The bank informs them that with a​ 15-year mortgage their monthly payment would be ​$745.86 and with a​ 30-year mortgage their monthly payment would be ​$546.01. Determine the amount they would save on the cost of the house if they selected the​ 15-year mortgage rather than the​ 30-year mortgage.

Answers

9514 1404 393

Answer:

  $62,308.80

Step-by-step explanation:

The total amount paid on the 15-year mortgage is ...

  ($745.86/mo)×(12 mo/yr)×(15 yr) = $132,254.80

The total amount paid on the 30-year mortgage is ...

  (546.01/mo)×(12 mo/yr)×(30 yr) = $196,563.60

__

The amount saved by selecting the 15-year mortgage is the difference of these amounts:

  $196,563.60 -132,254.80 = $62,308.80

_____

Additional comment

This problem statement has several numbers in it that are irrelevant to the question being asked. This is why you need to read and understand the given information, and also understand the question being asked.

Here, the total cost of the house will include the mortgage cost and the down payment. The down payment is the same in either case, so does not factor in when we subtract one total cost from the other. Any difference in cost is due only to the difference in loan cost.

Jasmine rides her bicycle for 8 hours and is 42 miles from her house. After riding for 11 hours, she is 57 miles away.

Answers

Answer:

This isn't a question

Step-by-step explanation:

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3​

Answers

Answer:

-x^2+2x-3

Step-by-step explanation:

(x^2 - 3x) + (-2x^2 + 5x - 3)

Combine like terms

-x^2+2x-3

Answer:

The fourth answer

Step-by-step explanation:

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3

The fourth answer

I have a perimeter of 30 ft in an area of 14 square feet what is the length and the width

Answers

Answer:

14 and 1 are the length and width

Step-by-step explanation:

Determine the intercepts of the line
X_______
Y_______

Answers

Answer:

-250, and 100

Step-by-step explanation:

The intercepts of the line are the points where line intersects the x-axis and y-axis .

the x intercept is at point (-250, 0)

the y intercept is at point (0, 100)

Creed wanted to know if there was a correlation between number of years of education and income. He collected data and created the scatterplot shown:

Determine the closest correlation coefficient (r value) for this data.

Answers

Answer:

0.8

Step-by-step explanation:

i did math <:

Help me pleaseeeeeeeeeee nowwwww

Answers

The correct answer is B

Answer:

the correct answer is letter B

Of their first 18 games of the season, the
Chicago Cubs lost 4 games and won the
others. What percent of the games have
they won?

Answers

The percentage of the games the club has won is P = 77.78 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total number of games = 18

The number of games they lost = 4

So , the number of games they won = 14 games

Now , the percentage of games they won = ( 14 / 18 ) x 100

On simplifying the equation , we get

A = 0.7778 x 100

A = 77.78 %

Hence , the percentage is 77.78 %

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ2

Suppose a triangle has sides 1,
and 1. Which of the following must be true?
A. The triangle in question is a right triangle.
B. The triangle in question may or may not be a right triangle.
C. The triangle in question S not a right triangle.
SUBMIT

Answers

9514 1404 393

Answer:

  B. The triangle in question may or may not be a right triangle

Step-by-step explanation:

The length of the third side of the triangle may have any measure between 0 and 2. The triangle will only be a right triangle if the third side has length √2.

The triangle may or may not be a right triangle.

What is 2/7 divided by 5/4? (No links)

Answers

Answer: 5/14

Step-by-step explanation:

8/35 using the keep change flip method

if you help me I will love you forever

Answers

Answer:

I think the answer would be 22.15 but I'm not really sure.

Answer:

22.15

Step-by-step explanation:

So, lets go over a few things:

The y coordinates is the Foot length.

The x coordinate is the Arm span.

They gave us a yellow stone in the graph, this shows what the feet length is when the arm length is at a specific value.

So we need to find the foot length when the arm length is at 160.

Once you have pinpointed 160 on the graph, go strait up until you get to the yellow line.

WHen you hit the yellow line, look at the y axis. It should seem to be in between 21 and 23.The only answer in between 21 and 23 is 22.15

So this is the answer!

Hope this helps! :D

6. The price of a necklace is four times that of a
bracelet. Let the price of the bracelet be $x.
(i) Express the price of the necklace in terms of x.

Answers

Answer:

The necklace is 4x.

Step-by-step explanation:

If the bracelet is x and the necklace is 4 times greater you would multiply the cost of the bracelet by 4. Meaning it would be X *4= 4x (x multiplied 4 times.)

If f(x)=(x-1)^1/3 then what is f^-1(x)

Answers

Answer:

The answer is f−1(x)=1x13

Step-by-step explanation: hi

What is the slope of the line graphed below?

Answers

Answer:

2/3

Step-by-step explanation:

rise over run

What is the correct answer?

Answers

I believe it’s 12. But I’m not sure
I think it’s 12 but I’m not positive

ECONOMICS PLS HELP !!!!!!!!!!!!!!!!!!!!! 100 POINTS
Which factors of production had to be utilized to bring you an online education?

it is a verbal question from my teacher I have to tell her the answer tomorrow and I don't know what to tell her lol

Answers

Mark Brainliest please

Answer

Factors of production are the resources people use to produce goods and services; they are the building blocks of the economy. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship.

In my opinion, labor, capital & entrepreneurship are factors of production

Four times a number added to eight is equivalent to the opposite of four

Answers

Answer:

let the number be y

Opposite of 4 is -4

4y + 8 = -4

Group liked terms

4y = -4 - 8

4y = -12

y = -3

Step-by-step explanation:

let the number be y

Opposite of 4 is -4

4y + 8 = -4

Group liked terms

4y = -4 - 8

4y = -12

y = -3

Which of the following statements is not true regarding a 95% confidence interval for the mean of a population?
a. In 95% of all samples, the sample mean will fall within 2 standard errors of the true population mean.
b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
c. In 95% of all samples, the true population mean will be within 2 standard errors of the sample mean.
d. 95% of the population values will lie within 2 standard errors of the sample mean.

Answers

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.

hope this helps,have a great day!!

~Pinky~

The 95% confidence interval does not mean that b. If you add and subtract two standard errors to ... 95% of all cases,... captured the true population mean.

What is the 95% confidence interval for a population mean?

It means that for any given number of samples, 95% of them will fall within 2 standard errors of the true mean of the population the sample is derived from.

Applying this confidence interval to the sample mean will not help you capture the true population mean which is why option B is incorrect as regards the 95% confidence interval for the population mean.

In conclusion, option B is correct.

Find out more on the 95% confidence interval at https://brainly.com/question/3191358.

Construct an equation that has y = 8 as its solution. Use y on both sides of the equation.

Answers

Answer:

3y + 4 = 20 + y

Step-by-step explanation:

The equation that has y = 8 as its solution will be 3y + 4 = 20 + y.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that Construct an equation that has y = 8 as its solution. The equation of the line will be:-

3y + 4 = 20 + y.

When we solve the equation we will get the value of y equal to 8.

3y + 4 = 20 + y.

3y - y = 20 - 4

2y = 16

y = 16 / 2

y = 8

Therefore, the equation that has y = 8 as its solution will be 3y + 4 = 20 + y.

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ2

Find the length of x, round too the nearest tenth

Answers

Answer:

Step-by-step explanation:

take 34 degree as reference angle

using tan rule

tan 34=opposite/adjacent

0.67=x/16

0.67*16=x

10.72=x

10.7=x (after converting it to the nearest tenth)

A car wash detailed 264 cars in 8 hours. At what rate did the car wash detail cars in cars per hour? ​

Answers

Answer:

33

Step-by-step explanation:

264/8= 33

$50 to 125
$75 to 150

Nine times a number added to a subtracted from triple the sum of seven times the number 9​

Answers

Answer:

16x + 19

Step-by-step explanation:

Let's say number = x

two times a number = 2x or 2*x

added to -3 = 2x - 3

subtracted from twice the sum of nine times the number and 8

2(9x + 8) - (2x - 3)

Combining like terms

18x + 16 - 2x + 3

16x + 19

BRAINIST AND 10 POINTS

Answers

Answer:

I'm not positive but here are my calculations:

A cube is 1 unit per cube. 3+2+1=6 if you do 6x6 you come out with 36.

Hope this helped.

Just saying it is 36 but this is 5 points

Which measurement is equivalent to 300 millimeters ? ​

Answers

Answer:

11.811 inches?

7620 millimeters?

HELP PLSSSSS!!!!! I WILL Give Brainlyist

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{6} + \frac{2}{3} [/tex][tex] \frac{1}{6} + \frac{2}{3} \times \frac{2}{2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{3 \times 2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{6} [/tex][tex] \frac{1 }{6} + \frac{4}{6} [/tex][tex] \frac{1 + 4}{6} [/tex][tex] \frac{5}{6} [/tex]Hope it is helpful...

The following table shows a proportional relationship between j and m.

Answers

M = ¾J

If you look at the numbers M is always 3/4 of J so the equation is M = ¾J

Answer:

[tex]j = \frac{3}{4} m[/tex]

Step-by-step explanation:

[tex]4j = 3m[/tex]

Divide both sides by 4 and you get the answer :)

Simplify equations HELP NOW!!

Answers

Answer:

[tex]\frac{1}{5} (2x+10)=4[/tex] [tex]x=5[/tex]

[tex]\frac{1}{3} (3x+9)=9[/tex] [tex]x=6[/tex]

Step-by-step explanation:

[tex]\frac{1}{5} (2x+10)=4[/tex]

Multiply both sides of the equation by 5.

5 · [tex]\frac{1}{5}[/tex] · [tex](2x+10)=[/tex] 5 · 4

Simplify both sides of the equation.

[tex]2x+10=20[/tex]

Subtract 10 from both sides of the equation.

[tex]2x=10[/tex]

Divide each term by 2 and simplify.

[tex]x=5[/tex]

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

[tex]\frac{1}{3} (3x+9)=9[/tex]

Substitute x for 6

[tex]\frac{1}{3} (3(6)+9)=9[/tex]

Multiply 3 · 6

[tex]\frac{1}{3} ((18)+9)=9[/tex]

Add 18 + 9

[tex]\frac{1}{3} (27)=9[/tex]

Divide [tex]\frac{1}{3}[/tex] ÷ 27

9 = 9

Evaluate the inverse trigonometric function Sin^-1(-1). Give answers in both radians and degrees.


A) Sin^-1(-1) = -pi or -180°


B) Sin^-1(-1) = 3pi/2 or 270°


C) Sin^-1(-1) = pi or 180°


D) Sin^-1(-1) = -pi/2 or -90°

Answers

Answer:

B) Sin^-1(-1) = 3pi/2 or 270°

D) Sin^-1(-1) = -pi/2 or -90°

Step-by-step explanation:

Sine function:

The sine function is -1 at 270º(-90º), which is 3pi/2 = -pi/2.

Inverse sine:

The input of the inverse sine function is a value, and the output are the angles which have the sine equal to the input.

Sin^-1(-1)

Angles for which the sine are -1, that is 3pi/2 or 270° and -pi/2 or -90°. Thus, options B and D are correct.

Other Questions
What role did physical geographic factors play during the Battle of Gettysburg? A stable atom that has a large nucleus most likely contains?O more neutrons than protons.more protons than neutrons.O equal numbers of protons and neutrons.C changing numbers of protons and neutrons. Monte Motors sells two different products. Following are the monthly revenues and costs. Product A Sales Quantity: 10,000 units Sales Price per Unit: $6.00 Variable Costs per Unit: $1.25 Product B Sales Quantity: 30,000 Units Sales Price per Unit: $2.50 Variable Costs per Unit: $0.75 Total fixed costs are $200,000. What is the break-even point for this company in units Why are viruses considered to be non-living Tamsen pays $12.50 of her monthly life insurance premium, and heremployer covers the rest. If her monthly premium is $42.25, what is theannual value to Tamsen of this benefit?A. $150B. $357C. $507D. $328.50 Of the 35 students in my class, 11 practice karate, 11 play piano, and 20 take math lessons. $ students play piano and go to math classes, 3 students do karate and piano, 5 go to math class and karate, and 3 do non. How many students do all 3 ACCIONES que podramos realizar para el control de las emociones Por favor ayudenme con explicacion A health magazine reported that 27% of adult males smoke cigarettes. To test this claim, they select 40 adult males at random and record if they smoke cigarettes. They calculate a 95% confidence interval for the proportion of adult males who smoke and find it is 0.22 to 0.28 heat travel through vacuum by a. conduction. b.convention c. radiation. d. both a&b can someone please help me out use the given circle to find the values of x, y and z END OF THE YEARIf you could change one thingthat happened this year, whatwould it be? Why? Xylem carries water and nutrients from the soil to the leaves. True ? False? What is the length of side s of the square shown below?45*890*Answer is 4v2 Change they would help if they could into reported speech Which relation is a function? A. (8,-4), (8,4), (6,-3), (6,3), (0, 0) B. (4, 7), (8,5), (6,4), (5, 3), (4, 2) C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7) D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2) Question in the image sarah read 20% of a book that was 150 pages long. how many pages did sarah read? Which statement about these two restaurant meals is correct?Meal A or Meal B