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:

c  =  125  f

Step-by-step explanation:

Let´s call points  A ( home plate )  B (pitcher´s place ) and C ( outfielder place)

these three points form a triangle in which according to cosine law, one side of a triangle c  can be calculated by the equation:

c²  =  a²  +  b²  - 2a*b*cos∡a,b

a and  b are the other sides of the triangle and ∡a,b is the angle between sides a and b

All distances are in feet then the distance between  outfielder and pitcher  (c) is in feet:

c² = (43)²  +  ( 162)²  - 2*(43)*(162)*cos 27°            cos 27°  = 0,891

c²  = 1849 +  26244 - 12413,4

c²  =  15679,6

c = √15679,6

c  =  125  f


Related Questions


Angle 1 and angle 2 form a linear pair. If the measure of angle 1 = (5x+9)º and
the measure of angle 2 = (3x+11)º, find the measure of each angle.
X =
angle 1 =
angle 2 =

Answers

- linear pairs are supplementary, meaning they add up to 180°

5x + 9 + 3x + 11 = 180

8x + 20 = 180

8x = 160

x = 20

- now plug in.

angle 1: 5(20) + 9 = 100 + 9 = 109°

angle 2: 3(20) + 11 = 60 + 11 = 71°

Hello I need help with my math it’s this am I right

Answers

Yes, I believe so. I am not sure of what exactly are you learning.

Help please
What is the area of this parallelogram?

Answers

Answer:

20inches

Step-by-step explanation:

base times height

2 times 10 is 20

please mark me as brainliest!!<3

the answer is 20in. Good luck

what is 2 times 4 i need a answer

Answers

Answer:

8

Step-by-step explanation:

HELP ME ASAPHelp me solve this so I can understand it more..plz show me work

Answers

Answer:

The question is not fully visible but what u want to do is group them subtract/add what u can and then factor it out

Step-by-step explanation:

3a) Solve using substitution.
y = - 2x
x + 2y = 9

Answers

Answer: Here is the step:

−2x;x+2y=9

x+2y=9

Then substitute -2x for y

-3x/-3 =9/-3

x= -3

helpppp pleaseeee ee​

Answers

Answer:

✐ [tex] \underline{ \underline{ \sf{Given \: values}}} : [/tex]

a = [tex] \sf \frac{1}{4} [/tex]b = 6

✐ [tex] \underline{ \underline{ \sf{ \: To \: find : }}}[/tex]

-8ab

[tex] \sf{Plug \: the \: given \: values} : [/tex]

⟼ [tex] \tt{ - 8 \times \frac{1}{4} \times 6}[/tex]

⟼ [tex] \tt{ \frac{ - 8 \times 1 \times 6}{4}} [/tex]

Remember : Multiplying negative integer by positive integer gives a negative integer.

⟼ [tex] \tt{ \frac{ - 48}{4} }[/tex]

Remember : Dividing negative integer by positive integer gives a negative integer.

⟼[tex] \sf{ \boxed{ - 12 }}[/tex]

[tex] \red{ \boxed{ \boxed{ \bold{ \purple{\tt{Our \: final \: answer : - 12}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♪

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Answer:

[tex]-12[/tex]

Step-by-step explanation:

Given that:

[tex]a=\frac{1}{4} \\b=6[/tex]

To evaluate the expression [tex]-8ab[/tex], we must simply substitute the given values into the expression, and solve:

[tex]-8(\frac{1}{4} )(6)[/tex]

Multiply [tex]-8[/tex] and 6:

[tex]-48*\frac{1}{4}[/tex]

Cross-cancel by dividing [tex]-48[/tex] and [tex]4[/tex] by [tex]4[/tex]:

[tex]-\frac{12}{1} *\frac{1}{1}[/tex]

Multiply:

[tex]-12[/tex]

In the equation f(x) = 3(x – h) 2+ k, what does (h,k) tell?

Answers

Answer:

(h,k) shows the coordintes of the turning point.

Answer:

coordinates of the vertex

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - h)² + k ← is in vertex form

with vertex = (h, k )

Please help me with this homework

Answers

Answer:

Rational

Step-by-step explanation:

The number comes to a stop (doesn't keep going), so it would be rational.

Answer:

3.5 is a rational number

Step-by-step explanation:

Irrational numbers are numbers that keep on going forever like pi (π). Or numbers like these.....[tex]\sqrt{72} , \sqrt{2} , \sqrt{\frac{8}{23} }[/tex]

Those are non-recurring numbers and non-terminating decimal numbers

Rational numbers are numbers that can be written as a simple fraction or ration, and 3.5 can be written as a simple fraction...

7/2 = improper fraction (3.5 as a decimal)

3 1/2 = mixed number (3.5 as a decimal)

Hope this helped!


Please HELPPP!!!
Pleaseeeee

Answers

Step-by-step explanation:

isosceles triangle (|>) this but right side up

The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 10x + 130,000 and its revenue can be modeled by
50x -0.00047x^2
, what is an expression for the profit?

Answers

9514 1404 393

Answer:

  P = -0.00047x^2 +40x -130,000

Step-by-step explanation:

Profit is found by subtracting the company's costs from its revenue.

  P = R - C

  P = (50x -0.00047x^2) -(10x + 130,000)

  P = -0.00047x^2 +40x -130,000

3+k<10; 6,7,8
lesson 5 extra practice
inequalities

Answers

Answer:

Your answer is 7

Step-by-step explanation:

Here you go mate

Step 1

3+k<10  Equation/Question

Step 2

3+k<10  simplify by subtracting

Answer

k<7

Answer:

[tex]\displaystyle 7 > k[/tex]

Step-by-step explanation:

3 + k < 10

- 3 - 3

________

[tex]\displaystyle k < 7[/tex]

I am joyous to assist you at any time.

2) A pound and-a-half of candy costs $1.65. Find the cost of one pound.

Answers

Answer:

1.10

Step-by-step explanation:

1 pound and 1/2=1.65

1/3 of 1.65 is 0.55.

1/2 is 0.55

so 1 pound is 0.55 times 2 which is 1.10

please mark as brainliest!!<3

8 more than s stripes

Answers

Answer:

s could mean 0 or 1 I'm not sure

Evaluate the expression 8+3(20+5)

Answers

Answer:

83

Step-by-step explanation:

Solve using order of operations

First do the parentheses

8+3(20+5) -----> 8+3(25)

Then Multpily

8+3(25) -----> 8+75

Then add

8+75 =83

how do I find the area with only the height and diameter? HELP QUICK PLS!!

Answers

Answer:

The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle. We can use our knowledge that a diameter is made up of two radii to understand that r = d/2. With this knowledge, you can rewrite the formula for the area of a circle as A = π (d/2)2.

Step-by-step explanation:

so rate this song that I came up with
i feel like im drownin in my self pity. i look around and hear people saying they suck their never be great they let their parents down but im the mistake. i smile when i cry i laugh when i hear anything saying im a mistake cuz their right.
is it good or bad

Answers

Answer:

Its pretty good

What is 25% of 50? Is it,
A- 200
B- 10
C- 25
D- 12.5

Answers

Answer:

12.5

Step-by-step explanation:

50/4

Answer:

The answer is D 12.5.

Step-by-step explanation:

Multiply 0.25 by 50 and then you get 12.5.

please help me im about to fail!!!! Express your answer in scientific notation.
3.3 x 10^5 + 44,000 = ?

Answers

Answer:

3.74 x 10^5

Step-by-step explanation:

First expand the term in scientific notation into normal notation.

3.3 x 10^5   -   Here the ^5 tells us to move the decimal five places to the right, so we go from

3.30000 to

330000.00

So 3.3 x 10^5 = 330,000

Now add that to 44,000 and you get 374,000.

Return this number to scientific notation.  Move the decimal back to its spot before the 3.  We go from

374,000.00 to

3.74000

Once again the decimal has moved five places, so that is the number in the exponent of the our scientific notation, and therefore our answer is

3.74 x 10^5

You and 3 friends decide to split a box
of one dozen donuts. Together, the
amount spent for the donuts is $17.45. If it costs $1.25 to park, how much did each donut cost per person?
WRITE AN EQUATION and solve.

Please hurry
Thx

Answers

Answer:

Step-by-step explanation:

Number of individuals = 4

Cost of dozen donuts with transport = $17.45 + $1.25

= $18.7

Since there are 12 pieces in a dozen pack of donuts, then the amount of each donut is:

= $18.7/ 12

= $1.56

So, if four people share a dozen donut, each person will have:

= 12/4

= 3 donuts each

and the price each person will pay for the three donuts will be:

= $1.56 × 3

= $4.68

Put these in order from GREATEST to LEAST

8+-3
-5+-4
8+3
5+4
-5+4
-8+-3
-8+3
5+-4

WHOEVER ANSWERS FIRST CORRECTLY WILL GET BRAINLIEST

Answers

Answer:

-8+-3, -5+-4, -8+3, -5+4, 5+-4, 8+-3, 5+4, 8+3

Step-by-step explanation:

8+-3= 5

-5+-4= -9

8+3= 11

5+4= 9

-5+4=-1

-8+-3= -11

-8+3=-5

5+-4= 1

8+3
5+4
8+-3
5+-4
-5+4
-8+3
-5+-4
-8+-3

Please give brainliest that took a while lol

Solve:
30x - 16 = 14

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

30x-16=14  Equation/Question

Step 2

30x-16=14 Simplify

30x-16=14

Step 3

30x-16=14  Add 16 to sides

30x=30

Step 4

30x=30  Divide sides by 30

answer

x=1

Hope this helps

Step-by-step explanation: To solve for X, we'll need to move all terms that don't contain X to the right and solve.

1. Add 16 to both sides

30x - 16 + 16 = 14 + 16

30x = 30

2. Divide both sides by 30

[tex]\frac{30x}{30} =\frac{30}{30}[/tex]

Therefore, your answer is 1.

X = 1

How many variables are in the formula
F= n over 4 +37

Answers

Answer:

1 i.e. n

Step-by-step explanation:

what is the range of the function y =-5x +1 when the domain is {- 4/5, -1, 2/5}

Answers

Answer:

=- 11/5

Step-by-step explanation:

Learning Task 1: Round each item to the nearest hundredths and thousands.
Decimal
1. 10.597
2. 20.2553
3. 554.2620
4. 11.2475
5. 20.3842


Round to the nearest hundredths
1.
2.
3.
4.
5.



Round to the nearest thousandths
1.
2.
3.
4.
5.​

Answers

Answer:

Round to the nearest hundreths

10.6020.26554.2611.2520.38

Round to the nearest thousandths

10.59720.255554.26211.24820.384

The given numbers can be rounded off to the nearest hundredths and to the nearest thousandths by using the rules.

Rules for rounding off to nearest thousandths:

Rule 1 - If hundreds place digit is between 0 to 4 then it is replaced by 0.Rule 2 - If hundreds place digit is greater than or equal to 5 then it is replaced by 1.

Rules for rounding off to nearest hundred:

Rule 1 - If tens place digit is between 0 to 4 then it is replaced by 0.Rule 2 - If the unit place digit is greater than or equal to 5 then the tens place is replaced by 1 and the hundreds place is replaced by 0.

Now, the given number is round to the nearest hundred as:

10.597 --- 10.60

20.2553  ---  20.26

554.2620 --- 554.26

11.2475 --- 11.25

20.3842 --- 20.38

Now, the given number is round to the nearest thousandths as:

10.597 --- 10.597

20.2553  ---  20.255

554.2620 --- 554.262

11.2475 --- 11.248

20.3842 --- 20.384

For more information, refer to the link given below:

https://brainly.com/question/1957976

A ribbon is 32/3 yards long. Mae needs to cut the ribbon into pieces that are 2/3 of a yard long. How many pieces of ribbon can she cut?

Answers

Answer:

16

Step-by-step explanation:

if the ribbon is 32/3 yards long and you need 2/3 yard long segments the denominators cancel out giving you 32 and 2 32/2 = 16

Answer:

16 pieces of ribbon

Step-by-step explanation  

if you divide the length of the ribbon by the length of the pieces she needs to cut it into, you get 16.

3cis(5pi/4) in polar form

Answers

Rectangular form:
z = -2.1213203-2.1213203i

Angle notation (phasor):
z = 3 ∠ -135°

Polar form:
z = 3 × (cos (-135°) + i sin (-135°))

Exponential form:
z = 3 × ei (-0.75) = 3 × ei (-3π/4)

Polar coordinates:
r = |z| = 3 ... magnitude (modulus, absolute value)
θ = arg z = -2.3561945 rad = -135° = -0.75π = -3π/4 rad ... angle (argument or phase)

Cartesian coordinates:
Cartesian form of imaginary number: z = -2.1213203-2.1213203i
Real part: x = Re z = -2.121
Imaginary part: y = Im z = -2.12132034

what’s the X intercept and Y intercept ?

Answers

Answer:

x-intercept: (1,0) & (3,0)

y-intercept: (0,3)

*these are the other blanks* ....

vertex: (2,1)

line of symmetry: y = 2

Can someone plz help me on #5 the graph is the the one that’s on the screen plz anyone hurry ☹️

Answers

1/2 is the answer.............................

Answer:

Step-by-step explanation:

Ok so all you have to do is find the slope.

0-10=  -10

---------  ---

-10-10=-20

so the slope i believe is 1/2

What is the value of 30— 5² ?

Answers

Answer:

5

Step-by-step explanation:

30 - 5²

30 - 5*5

30 - 25

5

Hope this helped!

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