Answer:
slope = 3/5
Step-by-step explanation:
slope = rise/run = 3/5
or (longer way w/ the points)
slope = (y2-y1)/(x2-x1) = (5-2)/(4-(-1)) = 3/5
Answer:
Step-by-step explanation:
The triangle is a right angle triangle. This is because one of its angles is 90 degrees.
Let us determine x
Taking 47 degrees as the reference angle,
x = adjacent side
11 = hypotenuse
Applying trigonometric ratio,
Cos # = adjacent side / hypotenuse
# = 47 degrees
Cos 47 = x/11
x = 11cos47
x = 11 × 0.6820
x = 7.502
Let us determine y
Taking 47 degrees as the reference angle,
y = opposite side
11 = hypotenuse
Applying trigonometric ratio,
Sin # = opposite side / hypotenuse
# = 47 degrees
Sin 47 = y/11
x = 11Sin47
x = 11 × 0.7314
x = 8.0454
Step-by-step explanation:
tan x = 3/4
Tangent is opposite over adjacent, so draw a right triangle with angle x where the opposite side is 3 and the adjacent side is 4.
Use Pythagorean theorem to find the hypotenuse:
c² = 3² + 4²
c² = 25
c = 5
Sine is opposite over hypotenuse, so:
sin x = 3/5
Answer:
Option (1).
Step-by-step explanation:
Amount of water hold by both the pitchers (Large + small) = 12 cups
Let the small pitcher holds the water = S cups
If the water hold by the large pitcher is twice the size of the small pitcher, then the amount of water hold by large pitcher = 2S
Total amount water hold by both = S + 2S
Equation for this situation will be,
S + 2S = 12
Therefore, Option (1) will be the answer.
