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3 years ago

50 POINTS! What is the volume of this?

Mathematics

2 answers:

NeX [460]3 years ago

8 0

(4 times 4 times 5) + (5 times 10 times 8) = 480 in cubed.

aleksandr82 [10.1K]3 years ago

8 0

To find the volume of a rectangular prism, we use a certain formula.

Volume = Length × Width × Height

Let's first find the volume of the rectangular prism on the right.

Length = 4 in.

Width = 4 in.

Height = 5 in.

(4) (6) (6) = 80 in.³

Now, let's find the volume of the rectangular prism on the left.

Length = 8 in.

Width = 10 in.

Height = 5 in.

(8) (10) (5) = 400 in.³

400 in.³ + 80 in.³ = 480 in.³

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Determine the radius and center of the circle with the following equation <br> x^2+y^2-12x+24y-10=6

PolarNik [594]

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

<u>Complete the squares</u>

<u /> $x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196$

Comparing with the standard form equation $(x-h)^2+(y-k)^2=r^2$ , since $r^2=196$ , then the radius of the circle is $r=14$ . Also, the center of the circle would be $(h,k)\rightarrow(6,-12)$ .

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2 years ago

Find the area of the shaded region. Show your work please

vitfil [10]

So if the formula is A=(pi)r^2, find the area of the entire circle:
A=(pi)(13^2)=530.66cm
then find the area of the little circle:
A=(pi)(3^2)= 28.26cm
then subtract the little circle from the big circle:
530.66cm-28.26cm= 502.4cm
and there you go. Hope this helps!

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2 years ago

What conclusion can you draw about 1 cubic centimeter and 1 mL?

forsale [732]

Answer:

They represent the same magnitude of volume

Step-by-step explanation:

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2 years ago

A mechanic purchased two motor bikes for a total of 15,000 and made a profit of 10% when he sold both. He bought the first one f

Sloan [31]

Answer:

Step-by-step explanation:

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3 years ago

A grid model with 100 squares. 73 squares are shaded. What percent of the model is shaded? What is the equivalent ratio? What is

viva [34]

Answer:

73%

Step-by-step explanation:

First, you'll divide the total squares by 100 to get how much is one percent. Then, you divide the shaded squares by the value of 1%. And you'll get how many percents are shaded.

For equivalent decimal, you divide the number by 100.

Then for equivalent decimal, you get the percent and 100.

$p =100/100=1\\73/1=73\\=0.73\\=\frac{73}{100}$

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2 years ago