Suppose Marco draws a cross-section of the cube shown below and the result is a triangle. Describe how Marco could have sliced the cube to produce a triangular cross-section.

Answer:

The other rectangle is 4 squares unit.

Step-by-step explanation:

Area Rectangle Formula: Area = Length * Width

Area R1 = 3 * 3 = 9

Area R2 = (7 - 3) * (3 - 2) = 4 * 1 = 4

Answer: Area of a rectangle that is 4 square units.

Step-by-step explanation:

     See attached for my work.

    The area of a rectangle can be found with A = L * W.

Answer:

$100

Step-by-step explanation:

$300-$200=$100

or

$200+$100=$300

Answer:

50%

Step-by-step explanation:

[tex]\begin{array}{ccll} pens&\$\\ \cline{1-2} 10 & 8\\ 2& x \end{array} \implies \cfrac{10}{2}=\cfrac{8}{x}\implies 5=\cfrac{8}{x}\implies 5x=8\implies x=\cfrac{8}{5}\implies x=1.6[/tex]

Answer:

slope = - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + y = - 7 ( subtract x from both sides )

y = - x - 7 ← in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes

then the slope of a line parallel to it is - 1

Answer:

135 mile difference

Step-by-step explanation:

The nile is 4132 miles long according to Gogle and The amazon is 3997 miles long according to gogle

[tex]\text{Given that,}\\\\\theta =\tan^{-1} \left(\dfrac y x \right)\\\\\\\dfrac{\partial \theta}{\partial x} = \dfrac{\partial }{\partial x} \tan^{-1} \left(\dfrac yx \right)\\ \\\\~~~~~~=\dfrac{1}{1 +\tfrac{y^2}{x^2}} \cdot y \dfrac{\partial }{\partial x} \left(\dfrac 1x \right)\\\\\\~~~~~~=\dfrac{yx^2}{x^2 +y^2} \cdot (-1)x^{-2}\\ \\\\~~~~~~=-\dfrac{yx^2}{x^2(x^2 +y^2)}\\\\\\~~~~~~=- \dfrac{y}{x^2 +y^2}\\\\\\[/tex]

[tex]\dfrac{\partial^2\theta}{ \partial x^2} = -\dfrac{\partial }{ \partial x} \left( \dfrac{y}{x^2+y^2} \right)\\\\\\~~~~~~=-y\dfrac{\partial}{\partial x} \left(\dfrac 1{x^2 +y^2} \right)\\\\\\~~~~~~=y (-1)(-1) (x^2 +y^2)^{-2} \dfrac{\partial }{\partial x}(x^2 +y^2)\\\\\\~~~~~~=\dfrac{y}{(x^2 +y^2)^2} \cdot (2x+0)\\\\\\~~~~~~=\dfrac{2xy}{(x^2 +y^2)^2}[/tex]

[tex]\text{Similarly,}~~\\ \\\dfrac{\partial \theta}{\partial y }= \dfrac{x}{x^2 +y^2}\\\\\\\dfrac{\partial^2 \theta}{\partial y^2 } = -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\\text{Now,}\\\\\dfrac{\partial^2 \theta}{\partial x^2 }+\dfrac{\partial^2 \theta}{\partial y^2 }\\\\\\=\dfrac{2xy}{(x^2 +y^2)^2} -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\=0[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's get it solved ~

We have been given length and width of a rectangle in terms of x ~

that is :

Area of the rectangle is given ~ i.e 24 unit²

Area of rectangle in terms of x is :

[tex]\qquad \sf  \dashrightarrow \:(x - 2) \sdot(x + 3) = 24[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 3x - 2x - 6= 24[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} +x - 6 - 24 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} +x -30= 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 6x - 5x - 30 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{}( x + 6) - 5(x + 6)= 0[/tex]

[tex]f(x) = \begin{cases}x = - 6 \: \textsf{ \: if \:x + 6 = 0 } \\ \\ x = 5 \: \: \: \: \: \: \textsf{if \: x - 5 = 0} \end{cases}[/tex]

but since side of a rectangle can't be negative, we have to take value of x as 5

now, Perimeter of rectangle is ~

[tex]\qquad \sf  \dashrightarrow \:2(width \: + \: length)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(x - 2 + x + 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(2x + 1)[/tex]

plug In the value of x ~

[tex]\qquad \sf  \dashrightarrow \:2(2(5) + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(10 + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(11)[/tex]

[tex]\qquad \sf  \dashrightarrow \:22 \: \: units[/tex]

So, the correct choice is b~

Answer:

1. Yes, all sides are congruent

2. Yes, the opposite sides are parallel

3. Yes, adjacent sides are perpendicular

Answer:

1. False

2. True

3. True

4. True

Step-by-step explanation:

A rational number is a number that can be written as a fraction of two integers. An irrational number can not be written as a fraction of two integers.

(Remember that an integer and a whole number are the same).

This means that...

All whole numbers/integers are rational.

3 is true for reasons mentioned above.

4 is just asking the same as 3.

Answer:

42

Step-by-step explanation:

2+10+3*10 =42 because there are 2 boxes inside each there are 5 then inside each boxes are 3

The coordinating sine value for this angle of rotation will be 4.189.

From the complete information, in the unit circle, there's a point with -1/2 and the x value is 240°.

In this case, the coordinating sine value for this angle of rotation will be:

= (240 × π)/180

= (240 × 3.142) / 180

= 4.189

Learn more about angles on:

https://brainly.com/question/25716982

#SPJ1

Answer:

helloo!!!!

first up first.... i love your profile pic....

oh and the answer is 744..

please read the explanation... it always helps!!

Step-by-step explanation:

alrighty..

so the total budget is 1200, and we want to know how much is 62% of that

so you follow the percent formula as follows:

1200/100= 12 --> 12 x 62= 744 (which is the answer!)

For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.

First, we need to remember a rule for exponential expressions, it says that:

[tex]x^{1/n} = \sqrt[n]{x}[/tex]

Then we can rewrite the given exponential expression as:

[tex]16^{1/4} =\sqrt[4]{16}[/tex]

So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.

We know that:

2*2 = 4

Then:

2*2*2*2 = 2⁴ = 4*4 = 16

Then we can conclude that:

[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]

So the simplified value of the exponential expression is 2.

If you want to learn more about exponential expressions:

https://brainly.com/question/10343716

#SPJ4

The answer is

for parallel : x-4=0

for perpendicular: y+4=0

The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.

Given line: x=-7

The slope of line x=7 is infinite

The equation of line passing through point (4,-4) and having slope infinite is

0.y+x=-7

So, 0.y= 4

hence, x=4

slope intercept form

x-4=0

Now, for perpendicular lines:

swap the coefficients on x and y with negative sign of x in x=-7

This is a vertical line, so the perpendicular line will be a horizontal line of the form y=b.

Since we are given that the line should pass through the point (4,−4), then the equation of the line is y=−4.

Learn more about intercept equation here:

brainly.com/question/13300036

#SPJ1

The roots of this equation equation are:

x1 = 4

x2 = 8

This sentence given in the statement of this question is: Equation of the Second Degree. There are a few ways to solve it, but let's calculate by the factorization method.

Equation given: x² - 12x + 36 = 4

x² - 12x + 36 = 4

12x ➯ 2x . x6

36 ➯ 6²

x² - 2x . x6 + 6²

( x - 6 )² = 4

( x - 6 )² = 4

x - 6 = ±√4

x - 6 = ±2

x - 6 = ±2

x - 6 = -2

x - 6 = +2

x - 6 = -2

x = -2 + 6

x = 4

x - 6 = +2

x = 2 + 6

x = 8

Therefore, the correct results of this equation, will be:

x1 = 4

x2 = 8

Answer:

The answer is ≈ 6214.78

(could put the sign because it wouldnt let me)

Step-by-step explanation:

Formulas:

[tex]A= {2} \pi r h + 2\pi r^{2}[/tex]

[tex]V=\pi r^{2}h[/tex]

[tex]V= A \frac{r}{2} -\pi r^{2} =1890 *\frac{9}{2} -\pi *9^{3} = 6214.77896[/tex]

rounded= 6214.78

~rere

Answer:

Everything is in the picture

If the length of UP = 7, then the length of UQ will also be = 7 units.

A perpendicular bisector is a line that cuts a straight line into two both anteriorly and posteriorly.

From the given information:

If the length of UP = 7 units, then the length of UQ will also be = 7 units.

Learn more about calculating lines in a perpendicular bisector here:

https://brainly.com/question/1761937

#SPJ1

Answer:

$450

Step-by-step explanation:

By taking the product between the rate and the time, we will see that he does not finish the book.

We know that he can read 5 pages in 15 minutes. Then in one hour he can read 4 times that: 4*5 pages = 20 pages.

We conclude that Carter reads 20 pages per day, then, if he reads for 14 hours, then he reads a total of:

20*14 = 280

So he will read 280 pages in these 14 hours, which means that he will not finish the book.

If you want to learn more about products:

https://brainly.com/question/10873737

#SPJ1

Answer:

it would be 75% :))

Answer:

75% of 80 = 60

Step-by-step explanation:

60/80 x 100

= 6/8

= 3/4

=75% of 100!

And that's how you find out the percentage.

Answer: B

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

I'm  just writing this

Answer:

y = 1/3 x + 4

Step-by-step explanation:

y = 1/3 x + 4

The y intercept is 4 (when x = 0 from the graph) and the slope is rise (1) and run (3).

Answer: 7 BATCHES

Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal

Now the factory uses 4 9/10 batch of oatmeal

1=7/10 OATMEAL

X=4 9/10 OATMEAL

X=(7/10*1)/4 9/10

=4 9/10*10/7

=490/70

=7

Answer:

the square root of 99

6pi-6

pi^3

Step-by-step explanation:

The square root of 99 is approximately 9.9.

6pi-6 is approximately 12.8

pi^3 is approximately 12.8

The population (number of bacteria in the colony), 950 hours from that time, will be 260 bacteria

From the question, we are to determine what the population will be after 950 hours

From the given information,

The number of bacteria in a colony doubles every 475 hours

The current population is 65 bacteria

∴ After 475 hours, the new population will be 2 × 65 bacteria

New population after 475 hours = 130 bacteria

After another 475 hours (that is, 950 hours from the initial time),

The population will be 2 × 130 bacteria = 260 bacteria

Hence, the population, 950 hours from that time, will be 260 bacteria

Learn more on Calculating population here: https://brainly.com/question/9422367

#SPJ1

Answer:

because the Gravity of the eart.

Step-by-step explanation:

the times is equarl and plus is to mynos sorna iloveyou mwa.

Answer:

4522mm³

Step-by-step explanation:

7×50×9 + 28×7×7 = 4522

Answer:

4522 mm^3.4522 mm^3.

Step-by-step explanation:

Splitting this up into 2 prisms, one vertical and the other horizontal:

Volume of each prism = length * width * height:

Volume of the figure =

Horizontal + vertical prism

= 7 * 9 * 50 + 7* 7* 28

= 3150 + 1372

= 4522 mm^3