Answer:
The correct answer is option (A) 763 in³.
Step-by-step explanation:
As per given question we have provided that :
Radius of cylinder = 4.5 in
Height of cylinder = 12 in
Here's the required formula to find the volume of cylinder :

V = Volume
π = 3.14
r = radius
h = height
Substituting all the given values in the formula to find the volume of cylinder :









Hence, the volume of cylinder is 763 in³.

Answer:
The numbers for which the given property hold true are <em>12 </em>and <em>-7</em>
Step-by-step explanation:
Let the number be
.
As per the given statement:
Square of the number (
) is 84 more than five times of the number (
).
Writing in the equation form:

To find:
All the numbers for which above equation holds true.
Solution:

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.
It is a quadratic equation(i.e. maximum power of
is 2) so it will have 2 solutions i.e. 2 values of
for which the above equation will hold true.

Let us factorize the equation.

So, the numbers for which the given property hold true are <em>12 </em>and <em>-7</em>.
Answer:
The time now is 7 pm
Step-by-step explanation:
Suppose that now is the time T.
We know that:
"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".
Then:
if we define midnight as 12, and we assume that T is in the pm range.
Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))
With this in mind, we can write the problem as:
12 - (T + 4) = (1/4)*( 12 - (T + 1))
Now we can solve this for T.
12 - T - 4 = (1/4)*(12 - T - 1)
8 - T = (1/4)*(11 - T)
4*(8 - T) = 11 - T
32 - 4*T = 11 - T
32 - 11 = -T + 4*T
21 = 3*T
21/3 = T
7 = T
Then T = 7 pm
The time now is 7 pm
Answer:
x=9
Step-by-step explanation:
The goal is to combine our knowledge of geometry area and algebra skills to solve this problems.
We know area of rectangle is

where l is the length and w is the width. We know that one side is 3 less than the other side. We can use L or W but let use L. Let x replace L
One side is x, while the other side is

Both multiply to 54.





or

Distance. is positive so x=9
Yes, your answer are correct! There is a little work to be shown on number 1, but it isn't necessary.
Hope this helps! Brainliest it if it does!