1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iVinArrow [24]
2 years ago
13

On a baseball field, the pitcher’s mound is 60.5 feet from home plate. During practice, a batter hits a ball 195 feet at an angl

e of 32° to the right of the pitcher’s mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far does the outfielder throw the ball?
Mathematics
1 answer:
worty [1.4K]2 years ago
8 0

In this problem, we can imagine that all the points connect to form a triangle. The three point or vertices are located on the pitcher mount, the home plate and where the outfielder catches the ball. So in this case we are given two sides of the triangle and the angle in between the two sides.

<span>With the following conditions, we can use the cosine law to solve for the unknown 3rd side. The formula is:</span>

c^2 = a^2 + b^2 – 2 a b cos θ

Where,

a = 60.5 ft

b = 195 ft

θ = 32°

Substituting the given values:

c^2 = (60.5)^2 + (195)^2 – 2 (60.5) (195) cos 32

c^2 = 3660.25 + 38025 – 20009.7

c^2 = 21,675.56

c = 147.23 ft

<span>Therefore the outfielder throws the ball at a distance of 147.23 ft towards the home plate.</span>

You might be interested in
Write an equation for the line (4,7) and ( 1,1)2. Write an equation for the graph
Nastasia [14]

ANSWER:

y=2x-1

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

\begin{gathered} y=mx+b \\ m\text{ is the slope and b is the y-intercept } \end{gathered}

The slope can be calculated as follows:

m=\frac{y_2-y_1}{x_2-x_1}

We use the points (4,7) and (1,1) to calculate the slope:

m=\frac{1-7}{1-4}=\frac{-6}{-3}=2

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

\begin{gathered} 1=1\cdot2+b \\ b=-2+1 \\ b=-1 \end{gathered}

Therefore, the equation would be:

y=2x-1

5 0
1 year ago
Li’s brother used the work shown to determine that he must grow at most 6 inches to be able to ride the roller coaster. Is this
miv72 [106K]
No, the work is correct, but the interpretation is not. “6 is less than or equal to h<span>” means that h is greater than or equal to 6. He must grow at least 6 inches, not at most 6 inches.</span>
8 0
3 years ago
Read 2 more answers
Select the GCF of these numbers.
Marysya12 [62]
The Greatest Common Factor (GCF) of 25, 5, 11 and 23, 52, 7 is 1, same with 22,3 and 23, 5 and 13, 193, 232.
4 0
3 years ago
Read 2 more answers
The variables xx and yy vary directly. use the values to find the constant of proportionality, kk. then write an equation that r
Sergeu [11.5K]
Direct variation means that changes in x will result to changes in y. If x increase, y also increases and vice versa.

y = kx
k = y / x

y = 45 ; x = 40

k = 45/40 
k = 1.125

y = 1.125x 

y will increase by 1.125 interval of x. 


5 0
3 years ago
Read 2 more answers
Decide if the expression is positive or negative. Explain in words how you know, please.
AysviL [449]

Step-by-step explanation:

The first expression is :

-11\times \dfrac{2}{3}

Numerator = -11×2 = -22

Denominator = 3

So, answer will be :

-11\times \dfrac{2}{3}=\dfrac{-22}{3} (negative)

The second expression is:

-11\times \dfrac{-2}{3}

Numerator = -11×-2 = 22

Denominator = 3

So, the answer will be :

-11\times \dfrac{-2}{3}=\dfrac{22}{3} (positive)

Hence, this is the required solution.

7 0
2 years ago
Other questions:
  • Are the following angle relationships possible? Explain.
    11·1 answer
  • Based on your answer to the previous question, what is the perimeter of the painting?
    5·1 answer
  • 6x+5y=25<br> is equal to what?
    10·1 answer
  • Steve has 30 wooden blocks and wants to make a 4 by 4 house with a large chest and a bead will he have enought wood and will his
    13·1 answer
  • Hey! Can someone help me with #1-3 plzz!!
    9·1 answer
  • A machine can produce 6 yards of fabric in 2 minutes. How much fabric can the machine can produce in 1 hour
    10·1 answer
  • Find the area of the parallelogram​
    12·1 answer
  • 3. In a class of 50, the # of people with brown hair is 2 more than 5 times the number of people with red hair. How many
    8·1 answer
  • HELP URGENT WILL GIVE BRAINLEST DO THE RECTANGLE, I DONT NEED HELP ON ANYTHING ELSE JUST THE RECTANGLE
    9·2 answers
  • In the figure shown, MR = 45 units, and RQ = 15 units. What is the length of PR?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!