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2 years ago

Find the volume of the figure below. Include units.

Mathematics

2 answers:

Nastasia [14]2 years ago

6 0

Can I get your snap?

posledela2 years ago

5 0

Answer:

960

Step-by-step explanation

(10 * 16 * 12) / 2

Do this step because half of a cube is this shape and so we did the math of a cube then divided by 2.

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A rectangular parking lot has an area of 15,000 feet squared, the length is 20 feet more than the width. Find the dimensions

faust18 [17]

Dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet

<h3>Solution:</h3>

Given that

Area of rectangular parking lot = 15000 square feet

Length is 20 feet more than the width.

Need to find the dimensions of rectangular parking lot.

Let assume width of the rectangular parking lot in feet be represented by variable "x"

As Length is 20 feet more than the width,

so length of rectangular parking plot = 20 + width of the rectangular parking plot

=> length of rectangular parking plot = 20 + x = x + 20

The area of rectangle is given as:

$\text {Area of rectangle }=length \times width$

Area of rectangular parking lot = length of rectangular parking plot $\times$ width of the rectangular parking

$\begin{array}{l}{=(x+20) \times (x)} \\\\ {\Rightarrow \text { Area of rectangular parking lot }=x^{2}+20 x}\end{array}$

But it is given that Area of rectangular parking lot = 15000 square feet

$\begin{array}{l}{=>x^{2}+20 x=15000} \\\\ {=>x^{2}+20 x-15000=0}\end{array}$

Solving the above quadratic equation using quadratic formula

General form of quadratic equation is

${ax^{2}+\mathrm{b} x+\mathrm{c}=0$

And quadratic formula for getting roots of quadratic equation is

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case b = 20, a = 1 and c = -15000

Calculating roots of the equation we get

$\begin{array}{l}{x=\frac{-(20) \pm \sqrt{(20)^{2}-4(1)(-15000)}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{400+60000}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{60400}}{2}} \\\\ {x=\frac{-(20) \pm 245.764}{2 \times 1}}\end{array}$

$\begin{array}{l}{=>x=\frac{-(20)+245.764}{2 \times 1} \text { or } x=\frac{-(20)-245.764}{2 \times 1}} \\\\ {=>x=\frac{225.764}{2} \text { or } x=\frac{-265.764}{2}} \\\\ {=>x=112.882 \text { or } x=-132.882}\end{array}$

As variable x represents width of the rectangular parking lot, it cannot be negative.

=> Width of the rectangular parking lot "x" = 112.882 feet

=> Length of the rectangular parking lot = x + 20 = 112.882 + 20 = 132.882

Hence can conclude that dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet.

3 0

3 years ago

A family will travel 350 miles from their house in order to reach Dallas, TX. Which inequality can be used to find all possible

Flura [38]

Tje answer is c t < or equal to (350r)

5 0

3 years ago

Simplify the expression using properties of exponents. 12a-9b-4 9a2b6

Free_Kalibri [48]

Check out -m-a-t-h-w-a-y-.-c-o-m- (This helps a lot!)

5 0

3 years ago

What is the solution of log2x+3125 = 3? (1 point)

enot [183]

Answer:

$x = - 1062.5$

Step-by-step explanation:

Assuming the equation is:

$log(2x + 3125) = 3$

Then taking antilogarithms gives:

$2x + 3125 = {10}^{3}$

We simplify on the left to get:

$2x + 3125 = 10 \times 10 \times 10$

This gives us:

$2x + 3125 =1000$

We subtract 3125 from both sides to get:

$2x = 1000 - 3125$

$2x = - 2125$

$x = - 1062.5$

6 0

3 years ago

4. Complete the table below that shows the distance Bryan's family has tseveles

juin [17]

Answer:

30 minutes --- 562.5 miles

240 minutes --- 300 miles

480 minutes --- 0 miles

600 minutes --- 150 negative miles (they would have already arrived).

5- 240 CDs will weigh 720 ounces.

Step-by-step explanation:

4- Given that Bryan family's summer house is 600 miles away, and after 30 minutes, they are 562.5 miles left to their destination, to determine the distance in the following minutes the following calculations must be performed:

30 minutes --- 562.5 miles

240 minutes --- 300 miles

600 - 562.5 = (37.5) / 30 = (1.25) x 240 = 300 miles

480 minutes --- 0 miles

600 - 562.5 = (37.5) / 30 = (1.25) x 480 = 600 miles

600 minutes --- 150 negative miles

600 - 562.5 = (37.5) / 30 = (1.25) x 600 = 750 miles

5- Given that Jasmine mails 2 CDs in an envelope and the envelope weighs 6 ounces, to calculate the weight of 240 CDs the following algebraic calculation must be performed:

6/2 x 240 = X

3 x 240 = X

720 = X

Thus, 240 CDs will weigh 720 ounces.

8 0

2 years ago