All categories

2 years ago

Can someone help me please?

Mathematics

1 answer:

Elena-2011 [213]2 years ago

8 0

<h3>Answer: 4368 square feet</h3>

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)
In the upper right corner, we have an area of 70*6 = 420
In the lower left corner, we have an area of 50*8 = 400
In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

You might be interested in

What is the equation of the line that is parallel to the line 2x+3y=-8 and passes through the point (2,-2)?

Leya [2.2K]

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is $y=\frac{-2 x}{3}+\frac{-2}{3}$

<h3><u>Solution:</u></h3>

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

$\begin{array}{l}{2 x+3 y=-8} \\\\ {=>y=\frac{-2 x-8}{3}} \\\\ {\Rightarrow y=-\frac{2}{3} x-\frac{8}{3}}\end{array}$

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

$\text {for line } 2 x+3 y=-8, \text { slope } m=-\frac{2}{3}$

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also $m=-\frac{2}{3}$

Equation of line passing through $(x_1 , y_1)$ and having slope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=2 \text { and } y_{1}=-2$

Substituting the values in equation of line we get

$(y-(-2))=-\frac{2}{3}(x-2)$

$\begin{array}{l}{\Rightarrow y+2=\frac{-2 x+4}{3}} \\\\ {=>3(y+2)=-2 x+4} \\\\ {=>3 y+6=-2 x+4} \\\\ {3 y=-2 x-2}\end{array}$

$y=\frac{-2 x}{3}+\frac{-2}{3}$

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as $y=\frac{-2 x}{3}+\frac{-2}{3}$

7 0

3 years ago

Which statement is true about whether Z and B are independent events

const2013 [10]

Independent Events are 2 events where the occurrence of the first doesn't affect the occurrence of the second and vice versa.
Example: rolling 2 simultaneously dies, the occurrence of the first, has no impact, no effect on the occurrence of the 2nd roll

6 0

2 years ago

In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different sections

Molodets [167]

13 choose 5=13x12x11x10x9x8!/5x4x3x2x8!=1287
☺☺☺☺

8 0

2 years ago

Read 2 more answers

Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of en

eimsori [14]

9514 1404 393

Answer:

Ben's

Step-by-step explanation:

If E is the amount of energy that each full set of panels produces, then ...

3 of Ismael's 5 panels produce 3/5E

4 of Ben's 6 panels produce 4/6E

We can compare these fractions when they have a common denominator.

3/5E = 18/30E . . . . energy from Ismael's panels

4/6E = 20/30E . . . energy from Ben's panels

18/30 < 20/30 . . . . so Ben's panels are producing more energy

5 0

3 years ago

PLZ I need help showing work and solving

svetoff [14.1K]

Where is the table. We need a table. We also need to type 20 words to ask...

4 0

2 years ago