On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder.

A triangle is drawn on a baseball field. A point is at home plate, another point is at the pitcher apostrophe s mound, and another point is at an outfielder. The distance from home plate to the pitcher is 43 feet. The distance from home plate to the outfielder is 162 feet. The angle between the 2 sides is 27 degrees.

Law of cosines:

How far must the outfielder throw the ball to return it to the pitcher? Round to the nearest foot.

112 feet
125 feet
145 feet
156 feet

Answers

Answer 1

Answer: The answer is 125ft

Step-by-step explanation: I just did it

Answer 2

The law of cosines formula gives the square of the distance the

outfielder must throw the ball.

Correct response:

The distance the outfielder must throw the ball to return it to the pitcher is approximately 125 feet.

How to use the cosine rule to find the distance

Distance of the home plate from the pitcher's mound = 43 feet

Angle at which the ball is hit = 27° east of the pitcher's mound

Distance the ball travels before it is caught = 162 feet

The sides, b and c, and the included angle, A, of the triangle drawn are respectively;

b = 43 feet

c = 162 feet

A = 27°

The length of the third side, a of the triangle is the distance from the outfielder to the pitcher.

According to law of cosines, we have;

a² = b² + c² - 2·b·c·cos(A)

a² = 43² + 162² - 2 × 43 × 162 × cos(27°) ≈ 15679.497105

Approximating to the nearest foot, we get;

a ≈ 125 feet

The distance the outfielder must throw the ball to return it to the pitcher is a ≈ 125 feet.

Learn more about the law of cosines here:

https://brainly.com/question/2491835


Related Questions

You are a big baseball fan. You have a goal of attending a baseball game in every major league stadium in the country. Every time you go to a different stadium, you buy a baseball hat. You keep your hats in a display case that holds 25 hats. You have 8 baseball hats so far. What are the possible numbers of hats you can collect without needing another display case?

Answers

Answer:

17

Step-by-step explanation:

Find the length of side a.
A. 2
B. 3
C. 34
D. 9​

Answers

It’s B


You need to use the Pythagorean theorem which is a squared + b squared = c squared

So a^2+4^2=5^2
Simplified that would be a^2 + 16 = 25

Subtract 16 from both sides
A^2=9

And the square root of nine is 3

Find the length of the missing side

Answers

Answer:

c²=a²+b²

17²=289

10²100

a=√(17²-10²)

so 289-100=189

square root answer

=13.7477270849

Answer:13.75

1) 4(p + 8) = 8p – 8(p – 6)

Answers

Answer:

4(p + 8) = 8p – 8(p – 6)

4p+32=8p-8p+48

4p=16

p=4

Answer: P=20

Step-by-step explanation:

Hope this helps ;)

Solve for b.
-t = 9(t - 10)
(WILL GIVE BRAINLIEST)

Answers

Answer:

Do you mean solve for t?

If you do, the answer is 9.

Step-by-step explanation:

If we expand the equation out, we get:

-t = 9t - 90

If we move the -90 over to the left side and the -t to the right side, we get:

90 = 10t

Dividing both sides by 9, we get:

t = 9

T=9
The anser is this and its easy first multiply

1
2
What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
-3
02
4

Answers

Answer:

x = 4

Step-by-step explanation:

2x − y = 11      ⇒    -y = - 2x +11     ⇒      y = 2x - 11

x + 3y = -5

x + 3(2x - 11) = -5

x + 6x - 33 = -5

      +33       +33  

7x = 28

÷7     ÷7

x = 4

The solution of x in the system of linear equations is x = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2x - y = 11   be equation (1)

x + 3y = -5   be equation (2)

Multiply equation (1) by 3 , we get

6x - 3y = 33   be equation (3)

Adding equation (2) from equation , we get

7x = 28

Divide by 7 on both sides , we get

x = 4

Hence , the equation is solved and x = 4

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ7

Which side has a length of 10 units?

Answers

Answer:

I'm not honestly for sure but i'm guessing the side G, J because it is the longest!

Hope this helps,

0Drink0Milk0

it is Gj your welcome it has to be

Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *

Answers

Answer:

Approximately 45%.

Step-by-step explanation:

We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.

So, as a fraction of the total won over the total games, we can write:

[tex]\displaystyle\frac{15}{33}[/tex]

So, by dividing, the percent the team won is:

[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]

The team won approximately 45% of its games.

A store is selling T-shirts. Which is the best deal?

8 for $26
5 for $30
4 for $15
12 for $39
10 for $45

Answers

divide cost by quantity. The lowest rate is the best buy:

26/8 = 3.25 each

30/5 = 6.00 each

15/4 = 3.75 each

39/12 = 3.25 each

45/10 = 4.50 each

The 8 for 26 and the 12 for 39 are both the same price each and are the better buys.

What’s the solution for 6x =36

Answers

Answer:

in this equation x would equal 6. because 6*6=36

this is how it would look. you would divide 6 on both sides which would isolate the variable. and then you have your answer! :)

how many degrees is the measurement of angle 1? show you work GVING BRAINLY

Answers

Answer:

m<1 = 79°

Step-by-step explanation:

12x + 19 + 22x - 9 = 180

add the numbers

34x + 10 =180

minus 10

34x = 170

divide by 34

x = 5

plug 5 into the equation of angle 1

12(5) + 19 =

79

Multiple Choice


Which of the following represents a unit rate?
A. four dollars over twelve books


B. five pages over two minutes


C. eighty beats over one minute


D. seventy two inches over two yards

Answers

Answer:

c

Step-by-step explanation:

unit rate is a rate with one in the denominator

Order from least to greatest.

1.603; 1.036; 1.36; 1.063

Answers

Answer:

1.036, 1.063, 1.36, 1.603

Step-by-step explanation:

Hope this helped, have a great day :)

1.063, 1.036, 1.36, 1.603


Consider the following 8 numbers, where one labelled x is unknown.
41, 13, 15, X, 46, 46, 23, 12
Given that the range of the numbers is 53,

Answers

Answer:

X = 65.

Step-by-step explanation:

The range is the greatest number - least, so we have:

X - 12 = 53

X = 53 + 12 = 65.

Answer:

I think x=65

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

HELP WILL MARK BRANNIEST!

Answers

Answer:

up all the way right all the way down allthe way

Step-by-step explanation:

PLEASE HELP!! GIVING BRAINLIST TO WHOEVER ANSWERS

Answers

Does represent , like dividing or multiplying by 2

of the following functions represent
exponential growth?
f(x) = 001(1.77)*
f(x) = 2(1.5)
f(x) = 5(0.5)*
f) = 5e+
DONE
PLEASE HURRY 100 POINTS

Answers

Answer:

a,b,c

Step-by-step explanation:

edg

Answer:

A. f(x) = .001(1.77)x

B. f(x) = 2(1.5)^x/2

C. f(x) = 5(0.5)^-x

Step-by-step explanation:

Correct on Edge 2022

Neeeeeeeeeeed helppppppppp plssssssss

Answers

Your answer is b !!!


Can you mark me BRAINLEST?

Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.

please help

Answers

Answer:

x≤2 or x≥-6

Step-by-step explanation:

Isolate the variables on both equations

3x-4≤2

3x≤6

x≤2

2x+11≥-1

2x≥-12

x≥-6

8+4x≥12

x≤5

x≥1

x≤1

x≥5

Answers

its b
and I dont rlly feel like explaining so yea

for the function -2x²+x+1 find f(3)

Answers

Answer:

-14

Step-by-step explanation:

Plug 3 in for x

-2 (3)² + 3 + 1

-2 (9) + 3 + 1

-18 + 3 + 1

-14

Answer:

f(3) = -14

Step-by-step explanation:

[tex]f(x)=-2x^{2} +x+1\\f(3)=-2(3)^2+3+1\\f(3) = -2(9)+4\\f(3) = -18+4\\f(3) = -14[/tex]

Equivalent expression for m-(8-3m)

Answers

Answer:

4m-8

Step-by-step explanation:

answer

Answer:

4m - 8

Step-by-step explanation:

Given expression,

→ m - (8 - 3m)

Simplifying the expression,

→ m - (8 - 3m)

→ m - 8 + 3m

→ 4m - 8

→ 4(m - 2)

Hence, answer is 4m - 8.

Guys I need help will mark brainliest

Answers

Answer:

mean= sum of the terms/ (over) number of terms

Determine whether the given value of the variable is a solution to the inequality 3b + 2 < 14 when b = 4

Answers

Answer:

I dont think it that would be the solution because 14 has to be greater and not equal.

Step-by-step explanation:

3(b) + 2 < 14

3(4) + 2 < 14

12 + 2 < 14

14 < 14

PLEASE HELP ASAP! FOR BRAINLIEST

Answers

To solve for y
Equation 1-
Let’s use (f) as a exponent (point slope)

y= -11/5x + 1/5x + 1

Exact value of y is 8x/5

Using the slope intercept form
Equation 2 is

y=5/8x^2 -2x -61/8

Hope this helps
Brainliest please :)

4
-1
-2
-3
5
The equation of the line in this graph is y=
I
x+

Answers

Answer:

The answer would be:

thec correct equation of the line is : y = 3 + 1.5x

tep-by-step explanation:

M/6 = -9

answer m=?

Answer the ? Mark pls

Answers

Answer:

[tex]\frac{m}{6}[/tex] = -9            6 × (-9) = -54

Step-by-step explanation:

what is the equation of the line that passes through the point (-2,-2) and has a slope of 4

Answers

Answer:

y=4x+6

Step-by-step explanation:

Solve this question please

Answers

a) distance

b) displacement

c) scalar

d) vector

Please someone help me

Answers

Answer:

a) the height ...................Im not sure though .....................................

Step-by-step explanation:

.............................................

Other Questions
Select the preterite tense in the el/ella form for the verb cubrir. (1 point)CubriCubrioCubristeCubro Parents also help their children learn __________, or ways of relating to other people.A. societyB. family skillsC. social skillsD. etiquette A record store that sells $1,000 woth of CDs per day to 40 customers ( the average cost of goods sold per unit is $12.50) How much is the store COGS? ____________________ I WILL GIVE BRAINLIEST!!!Cat coat color is an X-linked trait.Calico cats typically have patches of black, white, and orange on their coats as a result of X-inactivation. Most calico cats are female, but rarely a male calico will be born into a litter.Which of the following could explain calico coat color in a male kitten?Choose 1 answer:(choice A)AThe male kitten has a genotype of XXY.(choice B)BThe male kitten has a genotype of XXX.(choice C)CThe male kitten has a genotype of XYY.(choice D)DThe male kitten has a genotype of YY. RODINNISCOURSESonal ScienceAttempt 1 of 2Which of the following distinctions are used to identify sedimentary rock? Select all that apply.o where is was formedconditions it was formed undern when it was formedwhat it is composed ofhow many layers it consists of NEED HELP ASAP (check the picture) please help with this. We emphasize performance over participation well before kids' bodies, minds, and interests mature. And we tend to value the child who can help win games or whose families can afford the rising fees." Take some time to think through your answer. I'm asking again because I legit need help on this. Best answer gets brainliest.One of the biggest differences between a public sector business and a private sector business is the use of tax dollars. Public sectors businesses entirely run off of tax money, while private sector business depend on making money through selling goods or services.1. What do you see as some of the POSITIVE aspects of depending on tax money to run a business?2. What do you see as some of the NEGATIVE aspects of depending on tax money to run a business. Find the GCF of 8a^3b^5c^2 and 12a^2b^3c^2*Please show your steps to the equation* How can you write a linear function in the form y=mx + b by using the two points given below (0,-2), (2,6) What is the role of enzymes in the DNA replication process? A. Enzymes read the DNA code and build a new DNA molecule from scratch. B. Enzymes link together to form a template for a new DNA molecule to be built. C. Enzymes split the DNA molecule into two rails and then transport corresponding nitrogenous bases to each rail. D. Enzymes link adjacent nucleosides together, becoming an integral part of the structure of the new strands of DNA. Which method of food production is sustainable?A. Planting only a single type of cropB. Improving food storage facilitiesc. Overusing antibiotics on livestockD. Practicing intensive farming What should be done first to simplify the expression?7 - 4 (3 + 3)2 + 5Add 5.Subtract 4 from 7.Multiply 4 and 6.Add 3 and 3. 100 points!Romantic writers rejected the logical style of writers from the age of reason and instead focused on individual experiences, thoughts, and emotions. Romantic literature used lofty, expressive language to highlight a particular mood and message. What do you think these techniques offered to romantic writers that previous styles did not? Consider the romantic literature you have read. Do you think these techniques and styles were effective for the themes and subjects being addressed? Why or why not? On a bulletin board the principal Miss Gomez put 115 photos of the fourth grade students in her school. She puts the photos in five equal rose how many photos did she put in each row? How to format each dictionary item as a text string in the input file. How to covert each input string into a dictionary item. How to format each item of your inverted dictionary as a text string in the output file. A study was conducted on the effects of long-term marriage (more than 10 years).Researchers gathered data from a random sample of 4,563 adults and measuredquite a few variables, in addition to the explanatory variable of marriage and theresponse variable of longer life span. According to a newspaper article summarizingthe study, those in long-term marriages were more likely to be more physicallyactive, at a healthy weight, and nonsmokers. Those who were not married wereabout 20% more likely to be deceased. What conclusion can we draw from thisstudy? Explain.D We can infer a cause-and-effect relationship because the sample was selectedrandomly.We cannot infer a cause-and-effect relationship because treatments were notassigned randomly.) We cannot infer a cause-and-effect relationship because we do not have acontrol group. what are highway's and which are hhe famous highway's in the world simplify the exponential expression:(2x^2y^4)^3 What was the first order of business that President Biden attended to yesterday in the White House and what responsibility did Vice President Harris undertake in the Capitol building?What orders of business did President Biden and Vice President Harris perform yesterday after being sworn into office?ILL. MARK U AS BRAINLIEST