9514 1404 393
Answer:
E. 31.64
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:
Tan = Opposite/Adjacent
You are given trig values for 36°. That means ...
tan(36°) = 23/x
x = 23/0.727 ≈ 31.64
For example, if your fraction was 1 1/2, you would graph it on the x axis halfway between 1 and 2
Answer:
the desired equation is y = -2x + 1
Step-by-step explanation:
As we go from (-2, 5) to (0, 1), x increases by 2 and y decreases by 4. Thus, the slope of this line is m = rise / run = -4 / 2, or m = -2.
Starting with y = mx + b, insert the knowns:
1 = -2(0) + b. Then b = 1, and the desired equation is y = -2x + 1.
So the plane of Olivia travels from west to east with an elevation of 6.3 km. To summarize everything and to get the speed of the plane, I used the Angle Side Angle Triangle Theorem and also the law of sine and the formula would be the following:
First is to get the distance traveled by the plane within the range of 3 minutes. To get that distance you must get the following variable.
total distance = distance travel from west to Todds position + distance traveled from Todds position to the reach of the elevation
Dt = D1 + D2
first is getting the D1
D1 = sin41 (6.3) / sin 49
(by following the law of sine and the angles is based on the triangle)
D1 = 5.477 km
then get D2,
D2 = 6.3 sin 65 / sin 25
D2 = 13.510
After that get the total distance
Dt = D1 + D2
Dt = 18.987 km
To get the speed of the plane, you must divide the distance to the time (in minutes) then multiply it by 60 to make it as an hour.
Speed = 18.987 /3 * 60 = 379.74 km/hr
Answer:
8n - 15
Step-by-step explanation:
for finding the nth term we need to figure out the difference between the numbers:
3,11,19 = difference of 8
multiples of 8:
8,16,24,32,40...
the nth term would be 8n - 5 because in order to get to 3 from 8, we minus 5
