Answer: 6 cm
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V): π x radius ² x height
Replacing with the values given and solving for v (Volume)
1584 = π x r ² x 14
Solving for r:
1584 / (π x 14) = r²
36.01 = r²
√36.01 = r
6 cm = r
In conclusion, the radius of the cylinder is 6 centimeters.
Feel free to ask for more if needed or if you did not understand something.
Answer: B
Step-by-step explanation:
Use the exterior angle theorem, which states that the exterior angle of a triangle is equal to the sum of the two remote interior angles.
In this case: 120-x= 10+x+60
Simplifying it by combining like terms: 120-x=70+x
Solving by isolating the variable: 50= 2x, x=25
Now use what we know, which is that angle A is 35 degrees, and angle B is 60, to find out that the correct answer is B, 85 degrees.
Answer:
k-3 ≥8
Step-by-step explanation:
k-3 ≥8
kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.
Answer:
f(x)=-|x|+19
Step-by-step explanation:
so shifted 19 units up means
abosolute value of x + 19
and reflected in the x axis means that you have to put the - before the abosolute value.
so -|x|+19
Since there are 5 choices and there are 10 possible digits for each digit of the PIN( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
The total value possible 5 pins are 10⁵ = 100000
Using permutation, since 5 numbers are selected without repetition:

The probability that no numbers are repeated is= 30240/ 100000
≈ 0.302