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:
$18.01
Step-by-step explanation:
Convert from pesos to US dollars
6429/13.05 = $492.64
Convert from meters to yards
1.904* 25= 27.35
Divide to find the cost of one yard of fabric
492.64/27.35 = $18.01
Answer:
150, 200, 300
Step-by-step explanation:
sum the parts of the ratio , 3 + 4 + 6 = 13 parts
divide the total by 13 to find the value of one part of the ratio
650 ÷ 13 = 50 ← value of 1 part of the ratio , then
3 parts = 3 × 50 = 150 ← number of sweets Cia gets
4 parts = 4 × 50 = 200 ← number of sweets Mia gets
6 parts = 6 × 50 = 300 ← number of sweets Tia gets
Answer:
13
Step-by-step explanation:
y=mx+b
b= y-intercept
