What percent of 12 is 9?

An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One o

cestrela7 [59]

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base $= 9$ inches,

The width of the base $=6$ inches, and

The height of the exhibit $= 3(17) = 51$ inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

$A=2(w l+h l+h w)$

By substituting the values, we get

$A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.$

The surface area of the exhibit is 1,638 cubic inches.

4 0

3 years ago

17. The radius of a circular path is 7m. Find the cost of fencing the path if the cost per meter is Rs.35

Elis [28]

The cost of fencing the path is Rs 1539.38.

It is required to find the cost of fencing the path.

<h3>What is circle?</h3>

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given that:

radius of a circular path is 7m.

Rate = Rs .35 per meter

We know that

Circumference of circle = $2\pi r$

$2*\pi *7\\\\=43.98 m$

Circumference of circle=43.98 m

Now,

Cost = Circumference × Rate

Cost =43.98× 35

Cost = Rs 1539.38

Therefore, the cost of fencing the path is Rs 1539.38.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

6 0

1 year ago

A function has y-intercept of -3 and a slope of -7/3. Which equation below describes the function?

Juliette [100K]

Answer:7/8 8/7

Step-by-step explanation:

7 0

3 years ago

Which is equivalent?

olga_2 [115]

Answer:

A

Step-by-step explanation:

Given

$\frac{x}{\sqrt{2} }$

Multiply numerator/ denominator by $\sqrt{2}$ to rationalise the denominator

= $\frac{x\sqrt{2} }{\sqrt{2}(\sqrt{2}) }$

= $\frac{x\sqrt{2} }{2}$ → A

8 0

3 years ago

The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each

ziro4ka [17]

Answer:

the length of the first side of the triangle is $\frac{28}{3}\ in$

the length of the second side of the triangle is $\frac{37}{3}\ in$

the length of the third side of the triangle is $\frac{19}{3}\ in$

Step-by-step explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that

$x=y-3$

$y=x+3$ -----> equation A

$x=z+3$

$z=x-3$ -----> equation B

The perimeter of the triangle is equal to

$P=x+y+z$

$P=28\ in$

so

$28=x+y+z$ -----> equation C

substitute equation A and equation B in equation C

$28=x+(x+3)+(x-3)$

solve for x

$28=3x$

$x=\frac{28}{3}\ in$

Find the value of each side

the first side of a triangle is x

$x=\frac{28}{3}\ in$

the second side of a triangle is y

$y=\frac{28}{3}+3=\frac{37}{3}\ in$

the third side of a triangle is z

$z=\frac{28}{3}-3=\frac{19}{3}\ in$

7 0

3 years ago