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2 years ago

4. The volume of a cylinder is 9.5 m cube, rounded to the nearest tenth of a cubic

Mathematics

1 answer:

Troyanec [42]2 years ago

6 0

<h3>Answer: Choice D</h3>

====================================================

Explanation:

You'll have to go through each answer choice one by one to check if those dimensions lead to to a volume of roughly 9.5 m^3

For choice A, we have a radius of 0.7/2 = 0.35 meters and a height of 6.2 meters. The volume of the cylinder is pi*r^2*h = 3.14*(0.35)^2*6.2 = 2.38483 which rounds to 2.4 cubic meters. We can rule out choice A because we want 9.5 as a result instead of 2.4

We follow the same steps for choices B through D. You should find that choice D is the answer because:

V = pi*r^2*h = 3.14*(1.4/2)^2*6.2 = 9.53932 which rounds to 9.5 m^3.

Note the 1.4/2 is dividing the diameter 1.4 in half to get the radius.

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Solve for the indicated variable. a=f/m for m<br><br> SHOW ALL WORK

Lena [83]

Ok, a=f/m
What we need to do is isolate the variable, m.
a=f/m
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3 0

3 years ago

NEED HELP

solmaris [256]

The solutions to the systems of equations are:

1. (2, 3) (see attachment below). [one solution]

2. no solution

3. (3, 13) [one solution]

<h3>Solution to a System of Equations?</h3>

The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.

1. Using graph to solve y = 2x - 1 and y = 4x - 5:

The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]

2. Solving using substitution method:

x = -5y + 4 ---> eqn. 1

3x + 15y = -1 ---> eqn. 2

Substitute x = -5y + 4 into eqn. 2

3(-5y + 4) + 15y = -1

-15y + 12 + 15y = -1

-15y + 15y = -1 - 12

0 = -13 (this shows that there is no solution)

3. Using elimination method:

14x = 2y + 16 ---> eqn. 1

5x = y + 2 ---> eqn. 2

1(14x = 2y + 16)

2(5x = y + 2)

14x = 2y + 16 ----> eqn. 3

10x = 2y + 4 -----> eqn. 4

Subtract

4x = 12

x = 12/4

x = 3

Substitute x = 3 into eqn. 2

5(3) = y + 2

15 = y + 2

15 - 2 = y

13 = y

y = 13

The solution is: (3, 13).

Learn more about the solution of a system of equations on:

brainly.com/question/13729904

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5 0

2 years ago

For what values of a are the following expressions true?/a+5/=-5-a

katovenus [111]

Explanation:

The expression is given below as

$|a+5|=-5-a$

Concept:

We will apply the bsolute rule below

$\begin{gathered} if|u|=a,a>0 \\ then,u=a,u=-a \end{gathered}$

By applying the concept, we will have

$\begin{gathered} \lvert a+5\rvert=-5-a \\ a+5=-5-a,a+5=5+a \\ a+a=-5-5,a-a=5-5 \\ 2a=-10,0=0 \\ \frac{2a}{2}=\frac{-10}{2},0=0 \\ a=-5,0=0 \end{gathered}$

Hence,

The final answer is