Answer:
Step-by-step explanation:
The radius of a circle is always half the radius.
Thus, in this case, the radius is (1/2)(34 in) = 17 in.
The "how far" question is answerable by finding the circumference of the wheel. The circumference, C, is found by calculating C = πd, where d is the diameter of the circle in question.
Here, C = (34 in)π, which comes out to 106.81 inches. The bike will move 106.81 inches forward if the wheel turns once.
If the wheel turns 5 times, the total distance traveled is 5 times the circumference, or 5(106.81 in) = 534.07 in.
The derivative is -6sin(3x)
Step-by-step explanation:
the slope of a line is always the factor of x.
here : 1/2
it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.
a perpendicular slope puts x and y upside-down and flips the sign.
here : -2/1 = -2
so, the equation looks like
y = -2x + b
b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :
-1 = -2×-2 + b
-1 = 4 + b
b = -5
the full equation is therefore
y = -2x - 5
Answer: Volume, 480in^3
Step by step solution:
Volume=b*l*w
V=10in * 6in * 8in
V=480in^3
Given:
A figure of triangles.
To find:
Whether the triangles SPT and triangle QPR are similar.
Solution:
In triangle SPT and triangle QPR,
(Given)
(Common angle)
In triangles SPT and triangle QPR, two corresponding angles are congruent. So, by AA property of similarity both triangles are similar.

Therefore, yes, the triangle SPT and triangle QPR similar. Option A is correct.