Answer:
1.2 kilometers per minute; 6 kilometers in 5 minutes
Step-by-step explanation:
To find the KM per minute, divide the speed per hour (72) by 60 (minutes in one hour)
72/60 = 1.2 KM per minute
To find the KM for 5 minutes, multiply the KM per minute (1.2) times 5 minutes: 1.2*5 = 6 KM
Answer: Choice D) sin(x)/cos(y) = 1---------------------------------------------
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Label the sides as shown in the image attachment.
P = horizontal leg (opposite of angle x; adajcent to angle y)
Q = vertical leg (opposite of angle y; adajcent to angle x)
R = hypotenuse (longest side; always opposite the 90 degree angle)
Use the definitions of sine and cosine to say...
sin(Angle) = opposite/hypotenuse
sin(x) = P/R
and
cos(angle) = adjacent/hypotenuse
cos(y) = P/R
Notice how sin(x) = cos(y). This is true any time x+y = 90 which is the case here (x and y are complementary angles). A more specific example is sin(30) = cos(60) which are both equal to 1/2 or 0.5
Since sin(x) = cos(y), this means sin(x)/cos(y) = 1 as any expression divided by itself is equal to 1. Keep in mind that cos(y) cannot equal zero.
This is why
choice D is the final answer.
side note: something like cos(x)/sin(y) or sin(y)/cos(x) or similar are all equal to 1 as long as x+y = 90
Answer: y= 2x + 3
Step-by-step explanation:
Point slope formula: y = mx + b
Since the given point is (8,19), 19 is our y, and 8 is our x. Since the slope is 2, our m is 2.
Sub in values.
y = mx + b
19 = 2(8) +b
19 = 16 + b
b = 19-16
b = 3
Now that we have m and b, we can make the equation.
y = mx + b, sub in 2 for m and 2 for b
y = 2x + 3
19 = 2(8) + 3
19 = 16 + 3
19 = 19
So the answer is y = 2x+3
Fist if there is 4 sides on the base you would divide 216/4 =54
Or if there are 2 sides you would divide 216/2= 108