Answer:
x=90 degrees
Step-by-step explanation:
A pentagon's angles should add up to 540 degrees. There are 6 angles shown, two are given ( the bottom two are right angles which are 90 degree angles). So 560 divided by 6 [angles] is 90[degrees]. So, each angle is 90 degrees.
Answer:
312 ft²
Step-by-step explanation:
<u>Area of the garden = Length x Width</u>
Area of the garden = 30 x 40 = 1200ft²
<u>Length of the garden and path = Length of the garden + 3 ft on both sides</u>
Length of the garden and path = 30 + 3 + 3 = 36 ft
<u>Width of the garden and path = Width of the garden + 2 ft on both side</u>
Width of the garden and path = 40 + 3 + 3 = 46 ft
<u>Area of the garden and path = Length x Width</u>
Area of the garden and path = 36 x 46 = 1512 ft²
<u>Area of the path = Area of the garden and path - Area of the garden</u>
Area of the path = 1512 - 1200 = 312 ft²
Answer: 312 ft²
We have
<span>Va(airplane)=150
East</span>
Vw(wind)=7.1
South East
<span>
</span><span>resulting vector R</span>
airplane
Vax=150 Vay=0 it only has component x
WindVwx=7.1*cos45=5.02
Vwy=7.1*sin45=-5.02
is negative because is South direction
|R|=(Rx^2+Ry^2) ^0.5
Rx=150+5.02=155.02
Ry=0-5.02=-5.02
<span>|R|=155.10
miles/hour South East</span>
Determine angle θ
Rx=R*cos(θ)
<span>Cos(θ)=Rx/R</span>
<span>Cos(θ)=155.02/155.10=0.9995</span>
θ =arc cos Rx/R
θ =1.8119 º
Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater
Ry represents the component in the South direction of the resulting force
Its contribution is exclusive of the wind since the airplane has no component
in this direction
|R| the force resulting from the combined action of the force of the plane and the force of the wind
θ represents the angle that forms the resultant force with respect to the x axis or east direction
The given equation represents a function and inverse of the function exist if x ≥ 6.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
y = 2(x – 5)² – 6
Part A:
Using vertical line test, we can find the whether the graph is a function or not.
After drawing a graph for the given curve, and drawing a vertical line.
The vertical line touches only one point for the one input.
The given equation represents a function.
Part B:
Replace x → y and y → x
x = 2(y – 5)² – 6
2(y – 5)² = x + 6
Plug x = 1 in the y:
y = 26
Plug 
= 1 in inverse of a function:
x = 26
Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Answer: -4
Step-by-step explanation:
Set up an equation
8x+3=-29
Subtract 3
8x=-32
x=-4
