Answer:
(C.) 1.50n – 8.00 > 28.00
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They are all even numbers and divisible by 2
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Answer:
The right statement is sin(J) = cos(L) ⇒ answer D
Step-by-step explanation:
* Lets describe the figure
- LKJ is a right triangle, where K is a right angle
∵ m∠K = 90°
∵ LJ is opposite to angle K
∴ LJ is the hypotenuse
∵ LJ = 219
∵ KJ = 178
- By using Pythagoras Theorem
∵ (LJ)² = (LK)² + (KJ)²
∴ (219)² = (LK)² + (178)² ⇒ subtract (178)² from both sides
∴ (LK)² = (219)² - (178)²
∴ (LK)² = 16277
∴ LK = √16277 = 127.58
* Lets revise how to find the trigonometry function
# sin Ф = opposite/hypotenuse
# cos Ф = adjacent/hypotenuse
# tan Ф = opposite/adjacent
∵ LK is the opposite side to angle J
∵ LJ is the hypotenuse
∵ sin(J) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ sin(J) = 127.58/219 = 0.583
∵ LK is the adjacent side to angle L
∵ LJ is the hypotenuse
∵ cos(L) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ cos(L) = 127.58/219 = 0.583
∴ sin(J) = cos(L)
* The right statement is sin(J) = cos(L)
From the information we have, Jack drove 401/2 miles and used a total of 1 1/4 gallons of gasoline.
We need to find out how many miles he travelled per each gallon.
40 1/2 miles can be written as 40.5 miles
1 1/4 gallons can be written as 1.25 gallons.
So now we form an equation.
40.5 = 1.25
x = 1
Where x is the number of miles per gallon
We cross multiply the equation
40.5 * 1 = 1.25 * x
40.5 = 1.25x
40.5 / 1.25 = x
32.4 = x
x = 32 .4
So the unit rate for miles per gallons is 32.4 miles per gallon