Answer:
x is equal to 24 and y is equal to 66.
Step-by-step explanation:
In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.
36 + 78 + y = 180
114 + y = 180
y = 66
Now that we have that value, we can use y and the 90 degree angle to find x.
x + y + 90 = 180
x + 66 + 90 = 180
x + 156 = 180
x = 24
The equation of the line is y = (1/2)x + 2
Answer:
D = 9sin(2π(t + a)/24) + 45
Step-by-step explanation:
Let's find the average temperature;
(54 + 36)/2 = 45°
Amplitude = 54 - 45 = 9
From the wave equation, we can write the temperature as;
D = 9sin(2π(t + a)/24) + 45
Where;
D is the temperature
t is the time in hours after midnight
a is a "phase" that is used to set the time at which temperature(D) occurs
Answer:
Slope: 1
Y-intercepts : (0,0)
Step-by-step explanation:
Y= x
The answer is 14 m
<span>In
a 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter
leg (a) which is the opposite to the 30 angle:
</span>
c = 2a
We have c = 28 m
So: 28 = 2a
a = 28 / 2
a = 14 m
