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1 year ago

Find the surface area of each figure round your answers to the nearest hundredth if necessary

Mathematics

1 answer:

Wewaii [24]1 year ago

3 0

Answer: 410 square km

Step-by-step explanation:

The area of each of the triangles with their base on the 10 km side is $A=\frac{1}{2}(10)(13.4)$ , so their combined area is $(10)(13.4)=134$ .

The area of each of the triangles with their base on the 12 km side is $\frac{1}{2}(12)(13)$ , so their combined area is $(12)(13)=156$ .

The area of the bottom rectangular face is $10(12)=120$ .

So, the total surface area is $120+156+134=\boxed{410 \text{ km}^{2}}$

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A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.

emmainna [20.7K]

The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment

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2 years ago

An open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the

natka813 [3]

Please find the attachment.

Let x represent the side length of the squares.

We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.

The side of box will be $8-x-x=8-2x$ and $10-x-x=10-2x$ .

The height of the box will be $x$ .

The volume of box will be area of base times height.

$\text{Volume of box}=(8-2x)(10-2x)\cdot x$

Now we will use FOIL to simplify our expression.

$\text{Volume of box}=(80-16x-20x+4x^2)\cdot x$

$\text{Volume of box}=(80-36x+4x^2)\cdot x$

Now we will distribute x.

$\text{Volume of box}=80x-36x^2+4x^3$

$V(x)=80x-36x^2+4x^3$

Therefore, the volume of the box would be $V(x)=80x-36x^2+4x^3$ .

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2 years ago

Use Polynomials to Find Perimeter & Area Find the area of this rectangle.

Ostrovityanka [42]

Answer:

Area of rectangle =

$l \times b$

= 5x *( 5x -4)

${25x}^{2} - 20x$

Perimeter of rectangle = 2(l + b)

=2(5x +5x -4)

= 2(10x - 4)

= 20x - 8

8 0

2 years ago

C.) of a total of $10,000, part was invested at 10% simple interest and the remainder at

nlexa [21]

Answer:

$3,500 at 10% and $6,500 at 7%.

Step-by-step explanation:

M * 10% + (10000 - M) * 7% = 805

0.1M + 700 - 0.07M = 805

0.03M = 105

M = 3500

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2 years ago

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docker41 [41]

Let Us Call better

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2 years ago