Step One
Calculate the number of feet traveled in 1 rotation.
Formula
C = π*d
P = 3.14
d = 9 inches = 9/12 feet = 3/4 of a foot.
C = 3.14 * 3/4 = 2.355 So that means that every time the tire turns around 1 complete turn, the distance traveled on the ground is 2.355 feet.
Step Two
Figure out the number of revolutions.
1 revolution = 2.355 feet
x revolutions = 300 feet.
1/x = 2.355/ 300 Cross multiply
2.355 feet * x = 1 rev * 300 feet
2.355 x = 300 rev Divide by 2.355
x = 300 / 2.355
x = 127.39 revolutions. <<<< Answer
Answer:
Triangle PST ≅ Triangle PQR by ASA
Step-by-step explanation:
We know that because line segments PS and PR are congruent, then ∠PRS and ∠PSR must also be congruent because of the Isosceles Triangle Theorem, which states that if two sides of a triangle are congruent, then angles opposite those sides are congruent.
Therefore, the angles supplementary to ∠PRS and ∠PSR (∠PRQ and ∠PST respectively) must also be congruent to each other since we've already stated that ∠PRS and ∠PSR are congruent due to the Isosceles Triangle Theorem.
So, we can prove triangles PST and PQR congruent by ASA (Angle-Side-Angle).
93+(68+7)
93+(75)
168
always use PEMDAS :)
3x^2 + 8x - 4 - (6x^2 - 5x + 3)....distribute thru the parenthesis
3x^2 + 8x - 4 - 6x^2 + 5x - 3 .....combine like terms
-3x^2 + 13x - 7 <==
Answer:
72 in^3
Step-by-step explanation:
The volume is found by V=Bh meaning volume = area of the base * height
V = 6 * 12
V = 72