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.

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Related Questions

Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.

Answers

69 cause if you get it

A grocery store determined that an increase in the price of milk does not imply that customers will buy more or less milk. What can we conclude?

A. There is no correlation between the price of milk and the amount of milk bought.

B. There is a correlation between the price of milk and the amount of milk bought. There may or may not be causation, but further studies would need to be done in order to study this.

C. There is a correlation between the price of milk and the amount of milk bought. However, there is no causation.

Answers

B. There is a correlation between the price of milk and the amount of milk bought. There may or may not be causation, but further studies would need to be done in order to study this

How is 80.106 written in expanded form?

Plzzzz answer asap

Answers

Answer:

[tex]80.106= 8 * 10 + 0 * 1 * 0.1 + 6 * 0.001[/tex]

Given:

80.106

Required:

Write in expanded form

First, we need the place value of each digit:

Next, we multiply each digit by its place value, to give the expanded form;[tex]8- > Tens- > 10\\0- > Units- > 1\\1- > Tenths- > 0.1\\0- > Hundreds- > 0.01\\6- > Thousands- > 0.001[/tex]

[tex]80.106= 8 * 10 + 0 * 1 * 0.1 + 6 * 0.001[/tex]

2.1834 around you to the nearest hundredth​

Answers

Answer:

2.18 I think this is the answer sorry if it's not-

Answer:

2,1044 is the correct answere

What is the smallest rotational symmetry of a rhombus?

Answers

A rhombus has rotational symmetry of 180º (Order 2). sides and 4 right angles. A square has two pairs of parallel sides. A square has all four sides congruent.

Use the figure to find the measures of the numbered angles. ∠5 = ∠6 =

Answers

Answer:

∠ 5 = 49°, ∠ 6 = 131°

Step-by-step explanation:

∠ 5 and 49° are corresponding angles and are congruent, then

∠ 5 = 49°

∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is

∠ 6 + ∠ 5 = 180°

∠ 6 + 49° = 180° ( subtract 49° from both sides )

∠ 6 = 131°

does the graph represent a function?

Answers

Yes it does
..........

If two equations have the same slope but different y intercepts, what type of lines will they make if you draw them on the same graph
PLEASE HELP!! THANK U

Answers

Answer:

The answer will be two parallel lines.

Step-by-step explanation:

This occurs due to the fact that they have the same slope, so they will never cross each other.

PLEASE HELP WILL MARK BRAINLIEST!!!!

Answers

No the line will be vertical on point one

The base of a traingular field is twice its altitude , If the cost of levelling the field , at the rate of rupess 10 per m2 is rupees 4,000 , find it base and altitude

Answers

Answer:

Base=40m and

Altitudes=20m

Step-by-step explanation:

Area of the field can be calculated as

Area= total cost / rate

Where total cost= 4,000 rupees

Rate= 10 per m2

Area of the field= 4000/10

= 400m^2

Let the altitudes be denoted as "x metre"

Then the base = 2x

Area= 1/2bh

Where b= base

h= altitudes

Then if we substitute we have

400m^2= 1/2× x × 2x

400= x^2

x= √400

x=20m

Then altitudes = 20m

the base = 2x= 2×20=40m

Hence, it base and altitude are 40m and 20m respectively.

Please help, this is called Writing Equations

Answers

Answer:the answer is C

Step-by-step explanation:

someone help!!!!!!!!

Answers

Answer:

1) given

2) alternate interior angles

3) given

4) definition of midpoint

5) vertical angles

6) ASA

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

The answer is Y=0.5x+1

Solve for x:
2x + y = -2
4x + y = -8

Answers

Answer:

x = -3

Step-by-step explanation:

2x + y = -2

4x + y = -8

2x + y = - 2

y = -2x - 2

4x + y = - 8

y = -4x - 8

y = -2x - 2

y = -4x - 8

-2x - 2 = -4x - 8

4x - 2x = 2 - 8

2x = -6

2x/2 = -6/2

x = -3

To check just use da graph ;w;

The x is -3

Answer:

Step-by-step explanation:

x=  −1 −y/2

x= 4 −8−y/4

What decimal is equivalent to 4/15

Answers

Hey there!

In order for you to find out the decimal form a fraction, just simply DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number) and you should be able to find out your answer!

Formula:

NUMERAATOR / DENOMINATOR = ANSWER

NUMERATOR ➡️ 4

DENOMINATOR ➡️ 15

4 / 15 = answer

4 / 15 = 2.667

POSSIBLE ANSWER: 2.667 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

ANSWER IT QUICKLY PLEASE I NEED IT AS SOON AS POSSIBLE

Vertical stretch by a factor of 6, reflected about the x-axis, horizontally
translated 8 units to the left, vertically translated up 9 units:

Answers

hehehsghwownvdiebrubej ru e8yigdktdoyfiyfiycolhcihcohfyoigdohcigcyf yd CV 4fv4f ccx 6ed7tdkyr features dw,devfrkydkhcug uv.g5 5f bfc 7fcktx.hdvf grnhrkyxhdyc 6f 7fc9yv

Jupiter takes about 12 earth years to revolve around the sun

Answers

Answer:

Yess correct but what is full question


Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.

Hint: Use areas of triangles...A=1/2bh

Answers

Answer :

[tex] \underline{ \boxed{x = \frac{2(A_T) }{(AB) + (AC) + (BC)} }}[/tex]

Explanation :

[tex]i \: figured \: it \: out \to \: notice \: that \\ there \: are \:( thre e\: trianges) \: in \: triangle \: ( ABC) \\ and \: they \: all \: have \: the \: same \: height \: = x \\ first \: triangle \: is \: \to \: triangle \: (ABD) \\ second\: triangle \: is \: \to \: triangle \: (ACD) \\ third \: triangle \: is \: \to \: triangle \: (BCD) \\ if \: the \: area \: of \: a \: triangle \: is \: = \frac{1}{2} bh : then \to \\ the \: area \: of \: triangle \: (ABD) = \frac{1}{2} (AB)x \\ the \: area \: of \: triangle \: (ACD) = \frac{1}{2} (AC)x \\ the \: area \: of \: triangle \: (BCD) = \frac{1}{2} (BC)x \\ let \: the \: total \: area \:(A_T) \: be \to \: \frac{1}{2} (AB)x + \frac{1}{2} (AC)x + \frac{1}{2} (BC)x \\ if \to\\ (A_T) = \frac{1}{2} (AB)x + \frac{1}{2} (AC)x + \frac{1}{2} (BC)x \\ then \to \\ (A_T) = \frac{1}{2} \{(AB)x + (AC)x + (BC)x \} \\ x \{(AB) + (AC) + (BC) \} = 2(A_T) \\ x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]

 Expression representing the length 'x' will be, [tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex].

In-center of a triangle,In-center of a triangle defines the center of a circle inscribed in the triangles (touching all sides),Perpendicular drawn from in-center to the sides of the are equal in measures (radii of the inscribed circle).

Use the hint → Area of the large triangle = sum of the small triangles inside the larger triangle

Area of ΔABC = [tex]\frac{1}{2}(AB)(AC)[/tex]

Area of ΔADC = [tex]\frac{1}{2}(AC)(x)[/tex]

Area of ΔBDC = [tex]\frac{1}{2}(BC)(x)[/tex]

Area of ΔADB = [tex]\frac{1}{2}(AB)(x)[/tex]

Since, Area of ΔABC = Area of ΔADC + Area of ΔBDC + Area of ΔADB

[tex]\frac{1}{2}(AB)(AC)=\frac{1}{2}(AC)(x)+\frac{1}{2}(BC)(x)+\frac{1}{2}(AB)(x)[/tex]

[tex](AB)(AC)=[(AC)+(BC)+(AB)](x)[/tex]

[tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex]

    Therefore, expression representing the length 'x' will be [tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex].

Learn more about the in-center of a triangle here,

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A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?

Answers

Answer:

r=d/t

r=360 cm / 9 sec= 40 cm per second

Hope that helps :)

Answer:

40 centimeters per second.

Step-by-step explanation:

360 divided by 9= 40

ChIcKeN nUgGeTs :>

what is the volume of this figure ?

A) 3x2x6

B)6x8x2

C)8x2x3

D)3x2x8x6

Answers

Answer:

Step-by-step explanation:

since the hypotenuse of 6 cm is shorter than the base of 8 cm there is something wrong with this drawing.  The box can't be square so maybe answer C is good but.. since this box isn't a right angled box.. we really don't know.   This is a bad question b/c it's making the appearance of being a right angle but it can not be.  Like an Escher drawing..  not possible irl  

The volume of the rectangular prism is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

The missing height of the rectangular prism is 3 cm

It is given that:

The rectangular prism is shown in the picture with dimensions.

As we know, the volume of the rectangular prism is given by:

V = length×width×height

Length = 2 cm

Width = 8 cm

Height = 3 cm

The volume of this figure:

V = 2×8×3

Or

The volume of this figure V = 8×2×3 cubic in

Thus, the volume of the rectangular prism or the volume of the figure is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

Learn more about the rectangular prism here:

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n
Which expression is represented by the model?
+
+
+
X-3
X+ 3
ОО
-X-3
-X+3


Plz hurry

Answers

What model?

I can’t see a problem

would this angle be name angle CUE or CUT ?

Answers

Answer:

[tex]\huge\boxed{\angle\text{CUE}}[/tex]

Step-by-step explanation:

We can model what both readings of this angle would be. Angle names are usually formed by taking the two lines that form to intersect this angle at a vertice, and these 3 make up the name.

Angle ∠CUT would be formed by the lines CU and UT. We can see that this is not the case, as the angle is formed by lines CU and CE.

Since they intersect at point U, that means the angle name would be CUE.

Hope this helped!

A bag of dog food says that it now contains 20% more. Originally, it came with 63 ounces of dog food. How much dog food does the bag come with now? Set up the double number line to show that 63 ounces is 100%.

Answers

Answer:

75.6 ounces

Step-by-step explanation:

Step one.

Given data

we are told that the original quantity of food is 63 ounces

and the increase is in food is by 20%

Step two:

let us find the increase in ounces

=20/100*63

=0.2*63

=12.6 ounces

Hence the amount of food in the bag now is

=12.6+63

=75.6 ounces

answers for both boxes please ​

Answers

Answer:

5 for the green box and 9 for the purple one

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

2x - 2y = 2

5x + 2y = 12

2x + 5x = 7x

-2y + 2y = 0

2 + 12 = 14

7x = 14

7x/7 = 14/7

x = 2

2x - 2y = 2

2(2) - 2y = 2

4 - 2y = 2

-2y = 2 - 4

-2y = -2

-2y/-2 = -2/-2

y = 1

You are kayaking at a pace of 63 feet every 12 seconds. Your friend's pace is 21 feet every 2 seconds. Are you and your friend kayaking at the same pace? If not, who is faster?

Answers

Answer:

Your friend is kayaking faster.

Step-by-step explanation:

The way to approach this answer is by putting one of them in terms of the other. So that both are in terms of the same time. If you kayak 63 feet in 12 seconds how many feet do you kayak in 2 seconds? Simply divide by 6. 63/6 = 12/6. So, in 2 seconds (12/2) you kayak 10.5 feet (63/6). But your friend kayaks 21 feet in the same time... so he's going faster.

Which of the following is true about the order of operations?
1. Multiplication comes before division.
2. Addition and subtraction are done from left to right.
3. Addition and subtraction are done before multiplication and division.
4. Exponents are the first operation to be completed.

Answers

Answer:

2

Step-by-step explanation:

Multiplication comes before division. To add or subtract we can do from left to right by thousand, hundred, or any respective place value thus options (1) and  (2) are correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

Subtraction = Minus of any two or more numbers with each other called subtraction.

Using the PEMDAS rule,

Parenthesis = 1st

Exponents = 2nd

Multiplication = 3rd

Divide = 4th

Addition = 5th

Subtraction = 6th

Suppose an addition,

120 + 320

Now add from left to right,

100 + 300 = 400

20 + 20 = 40

Now, 400 + 40 = 440

Thus, adding from left to right is true.

Hence "Multiplication comes before division. To add or subtract we can do from left to right by thousand, hundred, or any respective place value ".

To learn more about the arithmetic operators,

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What is the slope of the line?

Answers

Do rise over run and you should end up with 4 and 3 hope that help

Which of these triangles appears notto be congruent to any others shown
here? Check all that apply.

A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F

Answers

I think it’s just f and d

2. Are these ratios equal? 6:10 and 5:20

Answers

Answer:

No

Step-by-step explanation:

Think of it like this. 6/10 is 60% and 5/20 is 25%. These two values aren't the same.

The answer is no You’re welcome

Which price is equivalent to $1.50 for 1 pound of apples?​

Answers

Answer: $3.00 for 2 pounds of apples

Step-by-step explanation:

Answer:

A: 6 pounds of Apples for 9$

9/6=1.5=$1.50 per pound

Step-by-step explanation, no need to.

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