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3 years ago

Select the correct answer.

Mathematics

2 answers:

Debora [2.8K]3 years ago

6 0

As the risk of an investment decreases, so does the potential for its return

Virty [35]3 years ago

3 0

Answer:

Step-by-step explanation:

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Given that a cubit is equivalent to 17.7 in., find the volume of the ark in cubic feet.

Daniel [21]

Since an ark is 2.5 cubits in length and 1.5 cubits in width and height.

It is given that a cubit is equivalent to 17.7 in.

We have to determine the volume of the ark in cubic feet.

Since 1 feet = 12 inches.

Since, length = 2.5 cubits

= $2.5 \times 17.7$ inches

= 44.25 inches

= $\frac{44.25}{12}$

= 3.7 feet

Now, width = 1.5 cubits

= $1.5 \times 17.7$ inches

= 26.55 inches

= $\frac{26.55}{12}$

= 2.2 feet

Now, height = 1.5 cubits

= $1.5 \times 17.7$ inches

= 26.55 inches

= $\frac{26.55}{12}$

= 2.2 feet

SO, Volume of rectangular prism = $length \times width \times height$

So, Volume of ark= 3.7 $\times 2.2 \times 2.2$

= 17.9

= 18 cubic feet.

Therefore, the volume of an ark is 18 cubic feet.

8 0

3 years ago

A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of

drek231 [11]

So basically, what this question is asking you for is the surface area of the entire cone.
To find it, we can use the formula:
SA = 3.14*r*l+3.14*r^2, where r is radius and l is lateral height
Now, all we have to do is plug all of the given values into the equation

Therefore, the equation we get is:
SA = 3.14*1.5*5 + 3.14*1.5^2
If we simplify, we find that the surface area is equal to 30.615
If we round this number to the nearest whole number, we get 31 square inches

Therefore the answer is 31

Hope this helped!! :D

4 0

3 years ago

Read 2 more answers

Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1

ivolga24 [154]

Answer:

$a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\$

Step-by-step explanation:

We are to factorize the expression $a^{3y} + 1$ completely. To do this, we will apply the expression below;

The expression can be rewritten as $a^{3y} + 1^{3}$

To factorize the expression, we need to first factorize $(a^{y}+1 )^{3}$ first

$(a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2} } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\$