Answer:
2.42 feet
Step-by-step explanation:
the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588
Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference
We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius
We divide 2 from both sides of the equation (3.14)(radius) = 3.794
We divide pi from both sides (radius) = 1.208
Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius
1.208 * 2 = 2.416 or 2.42 rounded up
Final answer = 2.42 feet
The GCF of 27 and 18 would be 9. It is the largest or greatest common factor that can be evenly divided by in both the numbers 27 and 18.
The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.
<h3>What is trigonometry?</h3>
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Angle θ is in standard position.
If sin(θ) = − 1/3 , and π < θ < 3π/2
Then the angle will be
Then add 180 degrees, then we have
Then the value of the cosine will be
More about the trigonometry link is given below.
brainly.com/question/22698523
Answer:
3135
Step-by-step explanation:
Givens
a1 = 6
Use t4 - t3 to get d
t4 = 27
t3 = 20
Step One
Find a1 and d
a1 = 6
d = t4 - t3
d = 27 - 20
d = 7
Step Two
Find the 30th Term
tn= a1 + (n -1 )*d
t30 = 6 + (30 - 1) * 7
t30 = 6 + 29*7
t30 = 6 + 203
t30 = 209
Step Three
Find the sum using Sum = (a + t30)*n/2
n = 30 given
a1 = 6 given
t30 = 209 calculated from step 2
Sum = (a1 + t30)*n/2 Substitute
Sum = (6+ 209)*30/2 Combine like terms and divide by 2
sum = 215 * 15 Multiply
Sum = 3135 Answer
