Answer: 5
List out the numbers from 1 to 50. Then go through that list and circle any numbers that have 9 in them. Those numbers are:
9, 19, 29, 39, 49
So there are 5 houses with 9s painted
Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is 
ft.
Height of Skateboard ramp is 
ft.
From figure,
It is forming a Right angle triangle 
.
In , 
and 
.
Clearly see that we need to find measure of angle 
.
Using Trigonometric ratio:
So, 
Then 
Therefore, Angle made by ramp with ground is ≈
Answer:
162°
Step-by-step explanation:
a circle has 360°, or the angle of a whole circle is that
so 45% of 360 =
0.45 times 360 = 162
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
