Given:
To find:
The missing value.
Solution:
Let x be the missing value.
We have,
Subtract 
from both sides.
Multiplying both sides by 5, we get
So, the missing value is 3.
Therefore, the correct option is C.
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>
Answer:
84°
Step-by-step explanation:
smallest angle=x
3x=2nd angle
x+40=3rd angle
angles in a triangle add up to 180 degrees so
5x+40=180
5x=140
x=28
largest angle = 3x
so 3 x 28 = 84 degrees
The largest angle is 84 degrees
Answer:
The constant of proportionality is 2
The equation is y=2x
Step-by-step explanation:
The unit price or unit rate is $2
Let y represent the price of tomatoes, then the price of x tomatoes is
dollars.
This represents a direct variation.
This equation is of the form 
, where k=2 is the constant of proportionality.
Answer:
26.28
Step-by-step explanation:
First, add the side lengths of what you know. 6 + 6 + 8 = 20.
Then, find the circumference of the circle, BUT make sure you divide it by 2 because it is a semicircle in the figure.
The formula is 2
r, so plug in the radius = 2
So the circumference is 4, then divide by 2 to get 2
20 + 2 = 26.28
