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2 years ago

This figure represents the base of a fish tank that is 8 inches high.

Mathematics

1 answer:

Igoryamba2 years ago

7 0

The volume of the fish tank is 408 in³

To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.

<h3>What is the volume of plane shapes?</h3>

The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.

From the figure given:

The figure can be differentiated into two shapes;

A rectangle
A triangle

The volume of the rectangle is known as:

= Length × Breadth
= 7 inches × 6 inches
= 42 inches²

The volume of the triangle is:

= 1/2 × base × height
= 1/2 × 3 × 6
= 9 inches²

The total volume of the base of the fish tank now is:

= 42 inches² + 9 inches²
= 51 inches²

Now, the volume of the fish tank is:

= Height × base of the fish tank
= 8 inches × 51 inches²
= 408 in³

Learn more about the volume of plane shapes here:

brainly.com/question/20475473

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Help please!!! I dont understand these questions<br><br><br>currently attaching photos dont delete

Katyanochek1 [597]

Answer:

b/a
16a²b²
n¹⁰/(16m⁶)
y⁸/x¹⁰
m⁷n³n/m

Step-by-step explanation:

These problems make use of three rules of exponents:

$a^ba^c=a^{b+c}\\\\(a^b)^c=a^{bc}\\\\a^{-b}=\dfrac{1}{a^b} \quad\text{or} \quad a^b=\dfrac{1}{a^{-b}}$

In general, you can work the problem by using these rules to compute the exponents of each of the variables (or constants), then arrange the expression so all exponents are positive. (The last problem is slightly different.)

1. There are no "a" variables in the numerator, and the denominator "a" has a positive exponent (1), so we can leave it alone. The exponent of "b" is the difference of numerator and denominator exponents, according to the above rules.

$\dfrac{b^{-2}}{ab^{-3}}=\dfrac{b^{-2-(-3)}}{a}=\dfrac{b}{a}$

2. 1 to any power is still 1. The outer exponent can be "distributed" to each of the terms inside parentheses, then exponents can be made positive by shifting from denominator to numerator.

$\left(\dfrac{1}{4ab}\right)^{-2}=\dfrac{1}{4^{-2}a^{-2}b^{-2}}=16a^2b^2$

3. One way to work this one is to simplify the inside of the parentheses before applying the outside exponent.

$\left(\dfrac{4mn}{m^{-2}n^6}\right)^{-2}=\left(4m^{1-(-2)}n^{1-6}}\right)^{-2}=\left(4m^3n^{-5}}\right)^{-2}\\\\=4^{-2}m^{-6}n^{10}=\dfrac{n^{10}}{16m^6}$

4. This works the same way the previous problem does.

$\left(\dfrac{x^{-4}y}{x^{-9}y^5}\right)^{-2}=\left(x^{-4-(-9)}y^{1-5}\right)^{-2}=\left(x^{5}y^{-4}\right)^{-2}\\\\=x^{-10}y^{8}=\dfrac{y^8}{x^{10}}$

5. In this problem, you're only asked to eliminate the one negative exponent. That is done by moving the factor to the numerator, changing the sign of the exponent.

$\dfrac{m^7n^3}{mn^{-1}}=\dfrac{m^7n^3n}{m}$

3 0

3 years ago

A quarter is what fraction of a dollar

Shkiper50 [21]

Well, a quarter is worth .25 And a dollar is 1.00
So .25 out of 1.00 equals 1/4
Since it takes 4 quarters to make a dollar, and you have 1 quarter.
~Hope this helped

7 0

3 years ago

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A rhombus can belong to multiple categories. which catergories does this rhombus not belong to? Select the two correct answers.

amid [387]

Answer:

Im pretty sure its c and d

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3 years ago

Help ASAP ! Taking A Test Right Now

Tems11 [23]

Answer:

There is a group anxiously waiting to start their triathlon. They are in the sand getting ready for the first leg of the race…the swim! They have roped off a rectangle of the beach that is 200 yards long and 10 yards wide. The athletes are packed in trying fighting for the front. If we assume that 10 athletes can occupy 25 square feet, how many triathletes are?

10 yds x 200 yds = 2000 sq yds.

2000 x 9 = 18000 sq ft

18000/25 = 720 sections that are 25 sq ft

720 sections x 10 people/section = 7200 triathletes

Step-by-step explanation:

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2 years ago

A gallon of gas costs $4.34.Greg puts 12 gallons of gas in his car,He has a 50-dollar bill.Tell how much Greg will have left,or

Lerok [7]

Greg will need $2.08 more money to buy 12 gallons of gas.

<h3>Further explanation</h3>

A gallon of gas costs $4.34

Greg puts 12 gallon of gas

Greg has $50

First, we are going to calculate how much money does Greg needs for 12 gallon of gas:

= 12 gallon of gas x cost/gallon

= 12 x 4.34

= 52.08

To multiply the decimal it's just the same way as the whole number multiplication, except for the placement of the decimal point in the answer. For the example

4.34 ⇒ 2 decimal place

<u> 12 x</u> ⇒ 0 decimal place

868

52.08 ⇒ 2 decimal place

By doing the same process as the whole number multiplication we got the answer is 52.08, but don't forget to add the decimal point/decimal place. The first factor has 2 decimal place, the second factor has 0 decimal place, so the answer will have two decimal place (2+0 = 2), by adding the decimal place.

The next step , 12 gallon of gas cost $52.08, if he has $50 so it cost more than the money he has, We are going to do a subtraction:

$52.08

<u>$50.00 </u>- ⇒ <em>we put zero so we can the borrowing (regrouping)</em>

$ 2.08

To subtract a decimal number, we need to line up the decimal point, add trailing zero as a placeholder and then do the subtraction

<h3>Learn more</h3>

Total spend brainly.com/question/12203917

Decimal multiplication brainly.com/question/2124592

Decimal multiplication brainly.com/question/1254534

Keywords: multiplication, decimal multiplication, two digits number additional, additional, subtraction decimal, regrouping

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3 years ago

Read 2 more answers