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
Answer:
-5 was the average low
Step-by-step explanation:
In a graph, "y" axis is the vertical axis and the blue curve is your function "f(x)". So, on the blue curve, trace and mark the place that is the highest in the given window. Notice that when "x" axis (the horizontal one) is π, the blue curve reaches its highest point,
For <span>h(x)=2cos(x)+1</span>, remember that the maximum value for <span>cos(x)</span> is "1". So, the maximum value for<span>h(x)=2(1)+1<span>=3</span></span>
Answer:
Step-by-step explanation:
We'll go part by part.
"15 is equal to" so simple enough 15= now what is it equal to?
9 more than a number. Well what does that mean? it might help if we try out an actual number. What is 9 more than 3? 12, so another way of writing that is +9. It's not telling us the number we are adding 9 to so it's a variable. So we'll say x + 9.
This leaves us with 15 = x + 9, which you could even solve.
Answer:
y= 1/2x-3
Step-by-step explanation:
2y - x = 8
First find the slope
2y = x+8
Divide by 2
2y/2 = x/2 +8/2
y = 1/2 x +4
The slope is 1/2 ( y=mx+b where m is the slope and b is the y intercept)
When lines are parallel they have the same slope)
Using y = mx+b
y =1/2x+b
Substituting the point (4,-1) into the equation
-1 =1/2(4)+b
-1 = 2+b
-3 =b
The equation of the line is
y= 1/2x-3