Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:
Now, using algebra, we can solve for x:
Plugging x back into the equation, we get:
Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Y=(kx)/z
15=(k10)/4
15=(5k/2)
15=k(5/2)
ties both sides by 2/5 to clear fraction
6=k
y=(6x)/z
x=20
z=6
y=(6*20)/6
y=20
Answer:
d)(0,3), (-1,4), (1,6), (-1,7)
Step-by-step explanation:
Find the mean and median for this set. 6, 7, 7, 8, 8, 8, 8, 8, 8.5, 9, 9, 9, 9, 9.5, 10, 10.
julsineya [31]
Mean: 8.375
Median: 8.25
To find mean you must add up the numbers. Then divide the total and the total numbers there are.
The statistical concept of the median is a value that divides a data sample, population, or probability distribution into two halves. Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.
Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
