Answer:
<u>207.35 inches</u>
Step-by-step explanation:
The wheel is in the shape of circle. The height, here, basically gives the diameter.
So,
Diameter = 66 in
Radius is half of diameter, so radius is:
66/2 = 33 inches
r = 33
Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.
The formula is:
Where C is circumference
r is the radius
Substituting, we get the answer as:
The distance covered is about <u>207.35 inches</u>
Step-by-step explanation:
You're given that ΔUVW is similar to ΔYZW. The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.
The triangles share point W, so visually rotate one triangle around W until the two triangles align. That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.
Now you can find the scale:
VW / YW = 5/12
And you can write a proportion to find x:
UW / ZW = VW / YW
x / 64 = 5 / 12
x = 26 ⅔
Answer:
<h2>3x + 21 = 6x - 60
</h2>
Step-by-step explanation:
parallel angles are equal
3x + 21 = 6x - 60
combine similar terms:
3x - 6x = -60 - 21
-3x = -81
x = 81/3
x = 27
now, plugin the value of x=27 back into the equation to get the angle:
= 3x + 21
= 3(27) + 21
= 102
= 6x - 60
= 6(27) - 60
= 102
as you noticed, both values are equal 102 = 102 because its a parallel angles
so the equation is 3x + 21 = 6x - 60
================================
i am pretty sure its correct.
Answer:
D, 576
Step-by-step explanation:
To find the volume of a rectangular prism, you simply need to multiply all of the side lengths together. 4*9*16=576, or answer choice D.
