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3 years ago

To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.

Mathematics

1 answer:

liraira [26]3 years ago

4 0

Answer:

11286

Step-by-step explanation:

The volume of a box or a cube is base time height times height.

base × width × height = volume

19 x 22 x 27 = volume

=11286

Hope this helps!

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on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent

andre [41]

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18 =1/2

⇒ b1/b2= 3/6 = 1/2

⇒ c1/c2= 12/24= 1/2

comparing

⇒ a1/a2,b1/b2,c1/c2

⇒ a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

6 0

3 years ago

The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of

BabaBlast [244]

Answer:

30.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

11 pi = 2 * pi *r

divide each side by 2 pi

11/2 = 2 ( pi) * r/ ( 2pi)

11/2 = r

We can find the area by

A = pi * r^2

= pi ( 11/2) ^2

= pi ( 121/4)

= 30.25 pi

8 0

3 years ago

Read 2 more answers

Find the volume of a sphere with surface area equal to 100π ft^2

Anni [7]

Answer:

$V=\frac{500}{3}\ \pi(ft^{3})$

Step-by-step explanation:

Hello.

to find the volume of a sphere we must know its radius,

we don't know the radius but we have the area

$A=4\pi r^{2} \\ \\isolating\ r\\\\A=4\pi r^{2}\\r=\sqrt{\frac{A}{4\pi } } \\r=\sqrt{\frac{100\ ft^{2} }{4\pi}} \\\\ r= \sqrt{25\ ft^{2} }\\ r=5\ ft\\$

Now, replacing this value in the volume equation

$V=\frac{4\pi r^{3} }{3} \\V=\frac{4\pi\ (5\ ft)^{3} }{3}\\ V=\frac{4\pi\ (125 ft^{3}) }{3}\\V=\frac{500}{3}\ \pi (ft^{3})\\\\\\$

have a great day

8 0

3 years ago

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Factor each expression 5x + 15

lana66690 [7]

Take out the gcf (5).

5(x+3)

The inner binomial cannot be factored.

Final answer: 5(x+3)

6 0

3 years ago

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The height of a model rocket is 4.5% of the height of the actual rocket.The model is 1.22 m high.How high is the actual rocket

Serjik [45]

Answer:

Actual Height = 27.11 m

Step-by-step explanation:

Given:

Height of model rocket = 4.5 % of actual Height

Model Height = 1.22 m

To Find:

Actual Height of rocket = ?

Solution:

We have to Find the Actual Height of the rocket

Let actual height be x

Now it is given that

Height of model rocket = 4.5 % of actual Height

As we have the values so putting it in it becomes

1.22 = 4.5 % * x

it could be written as

$1.22=\frac{4.5}{100}*x$

Multiplying both sides by $\frac{100}{4.5}$

it becomes

1.22* $\frac{100}{4.5}$ = x

$\frac{122}{4.5}$ = x

27.11 m =x

Actual Height = 27.11 m

6 0

3 years ago