Translate the sentence into an equation or formula.
The surface area SA of a rectangular prism is 2 times the sum of the width (w) times height (h), and length (
l
) times width, and length times height.

A function that can represent the area that can be enclosed in terms of x is 40x-x².

Given that Eighty meters of fencing is available to enclose the rectangular garden of Mang Gustin.

Area is defined as the amount of space that can be used within a flat surface or the surface of a solid. Perimeter is defined as a continuous line that forms a boundary to define a two-dimensional shape.

Let the length of garden, l=x

and the given perimeter, p=80

As we know, perimeter of rectangle is P=2(l+b).

Now, we will substitute the values and find the value of b, we get

80=2(x+b)

Now, we will divide both sides by 2, we get

80/2=2(x+b)/2

40=x+b

Further, subtract x from both sides, we get

40-x=x+b-x

40-x=b

Now, we will find the area of rectangle by using the formula A=lb.

Substitute the values in above formula, we get

A=x(40-x)

A=40x-x²

Hence, the area that can be enclosed in terms of x is 40x-x².

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The direction of the vector v in standard position is approximately 253.301°.

Vectors in rectangular form present the change of each of the two variables parallel to orthogonal axes. Each point is described by the following definition:

v = (Δx, Δy)                         (1)

And the direction of a vector is equal to this inverse trigonometric function:

θ = tan⁻¹ (Δy / Δx)              (2)

If we know that Δx = - 3 and Δy = - 10, then the direction of the vector is:

θ = tan⁻¹ (- 10 / - 3)

θ = tan⁻¹ (10 / 3)

θ ≈ 253.301°

The direction of the vector v in standard position is approximately 253.301°.

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2(6m+12)=180

12m+24=180

12m=156

m=13

Answer:

[tex] \sqrt{54 {x}^{5}yw {}^{8} } \\ \sqrt{7 \times 8 {x}^{5}yw {}^{8} } \\ = 2x {}^{2} {w}^{4} \sqrt{14xy} [/tex]

Answer:

136

Step-by-step explanation:

2720 / 20 = 136

Answer:

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

Use the given numbers and formula to calculate the area:

Answer:

in one bouquet there are 3 red so in two bouquets there must be 6

Answer:

4 and 5

Step-by-step explanation:

4^2=4xx4=16,

5^2=5xx5=25, and 19 is between those two squares

Answer:

The answer is True

Step-by-step explanation:

In the substraction, if you reduce or increase the substrahend by a number, the result is the same number less or more

Answer:

ok

Step-by-step explanation:

the answer is (2,4)

mark as brainlist

Answer:80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

its just 80

Answer:

2.62 x 10^16

Step-by-step explanation:

Let look at the numerator:

(3.1 x 10^6)(6.97 x 10^4)

= (3.1 x 6.97) x 10^(6+4)

= 21.607 x 10^10

So  21.607 x 10^10

     _______________

       8.245 x 10^-6

= (21.607/8.245) x 10^(10 - -6)

= 2.62 x 10^(10 + 6)

= 2.62 x 10^16

I hope this helps

Answer:

7.5 inches

Step-by-step explanation:

15 ft long and 10 ft wide becomes 3/2 when converted into a ratio

we now have 3/2 and five inches

3 is 1.5*2

5*1.5 is 7.5

Answer:

7.5in

Step-by-step explanation:

If the original room's dimensions are (15ft x 10ft). Then the new scaled-down version is (?ft x 5in) we can set up a ratio of 10/5 = 2 to find that the scale from the room to the drawing is being shrunk by a factor of 2. So if you take 15/2 you will get your final answer of the new length of 7.5in!

Answer:

a

Step-by-step explanation:

Answer:

  (A)  (x -2)

Step-by-step explanation:

You want to know a factor of the function whose values given in the table include (x, y) = (2, 0).

A polynomial function y = p(x) will have a factor of (x-a) if and only if p(a) = 0.

The table shows y=0 for x=2, so this polynomial function will have a factor of (x -2).

__

Additional comment

The function shown in the table is ...

  y = (x -2)²

so it actually has two factors that are (x -2).

You can tell this is a polynomial function of degree 2 because the 2nd differences are constant.

First differences between successive y-values: -7, -5, -3, -1, 1, 3

Second differences between successive first differences: 2, 2, 2, 2, 2.

Answer: (-∞, ∞)

Step-by-step explanation:

|2x+5|+3 can't equal 0. The denominator can't equal 0.

|2x+5|+3[tex]\neq[/tex]0

|2x+5|[tex]\neq[/tex]-3 ==> Absolute value functions can't be negative, so the denominator will never equal 0.

Hence, domain is x equals all real numbers: (-∞, ∞)

Answer:

y = -8

Step-by-step explanation:

line x = 8 is a vertical line so the line perpendicular has slope of 0

Using m = 0, x = -9, y = -8

y = mx + b

-8 = 0(-9) + b

b = -8

so y = -8

Step-by-step explanation:

y = 8, the one above is correct, we both are.

Answer:

RA = RB because the base angels of isosceles are equal and their measurement are equal too

Step-by-step explanation:

angle RAB=180(sum of angels of a triangle)

180/2=90

90/3=30

Angle R= 90

Angle A=30

Angle B= 30

So,It is proved that RA=RB

I tried my best to answer hope it is accurate.

If the equation [tex]sin(40)=\frac{b}{20}[/tex] can be used to determine the length of segment AC, then the length of AC is 12.85 units

Given,

The equation,

sin 40 = [tex]\frac{b}{20}[/tex]

We know,

According to trigonometric equation

sin θ= Opposite side / Hypotenuse.

Length of the segment AC = b

Then,

sin 40 = [tex]\frac{b}{20}[/tex]

b= sin 40 × 20

b= 12.85 units

Hence, if the equation [tex]sin(40)=\frac{b}{20}[/tex] can be used to determine the length of segment AC, then the length of AC is 12.85 units

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Answer: 6

:)

___________________________________

Answer:

[tex] \sf \large \: \frac{2}{27} [/tex]

Step-by-step explanation:

Let's solve this equation step by step

2/3/1/9

= 2/3/9/1

= 2/27

The equation, [tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex], gives;

When p = q, the number of solutions is infinite.

When p ≠ q, the equation has no solution

The given equation is presented as follows;

[tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex]

If p = q, we have;

[tex] \frac{2 \cdot x + q}{q} = \frac{2 \cdot x + q}{q} [/tex]

[tex] \frac{2 \cdot x + p}{p} = \frac{2 \cdot x + p}{p} [/tex]

Therefore, the equation has an infinite number of solutions when p = Q

If p ≠ q, and x = 3, we have;

[tex] \frac{2 \cdot x + p}{q} = \frac{2 \times 3 + p}{q} = \frac{6 + p}{q} [/tex]

[tex] \frac{2 \cdot x + q}{p} = \frac{6 + q}{p} [/tex]

[tex] \frac{6 + p}{q} [/tex] = \frac{6 + q}{p} [/tex]

6•p + p² = 6•q + q²

However;

p ≠ q

Therefore;

6•p ≠ 6•q

p² ≠ q²

6•p + p² ≠ 6•q + q²

Which gives;

[tex] \frac{6 + p}{q} \neq \frac{6 + q}{p} [/tex]

The equation is not defined when p ≠ q

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Answer: 2400 miles

Step-by-step explanation:

Round;

256 to 300

500 to 500

296 to 300

1,298 to 1,300

Add; 300 + 300 + 500 + 1,300 to get your 2,400 miles.

The solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.

It is required to find the solution to the linear equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The equation is

13x + y = 26

We have to find the value of x and y .

According to given question we have

13x + y = 26

Subtract 13x from both sides we get,

y = 26 - 13x

Subtract y from both sides

13x = 26 - y

Divide through by 13

x = 2 - y/13

Therefore, the solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.

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a)Amount of money left on Pablo's card in dollars = $100 - $15x

= $(90 - 15x)

b) Amount of money left on Teresa's card in dollars= $70 - $10x

= $(70 - 10x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$100 - 15x = $70 - 10x

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Pablo

Keith received a gift card of $100 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Pablo's card after purchasing x pizzas = $100 - $15x

For Teresa,

Mary received a gift card of $70 for a different pizza restaurant. The restaurant charges $10 per pizza.

Hence, x number of pizzas cost =$10 × x

= $10x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$70 - $10x

Amount of money left on Pablo's card in dollars = __________

Amount of money left on Teresa's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$100 - 15x = $70 - 10x

Collect like terms

-15x + 10x = $70 - $100

-5x = -30

x = 30/5

x = 6

Hence, anytime Pablo and Teresa buys ,6 pizzas their gift card will have the same amount of money left on them.

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Step-by-step explanation:

2/5

5/6

1/3

3/7

...........

Answer:

Approximately ≈

Step-by-step explanation:

Answer:

approximately equal to
or
Approximate equality

Step-by-step explanation:

2100-(580+755)

2100-1335

=835

Answer=

January=580

February=755

January+February=

580+755=1335

March=2100-1335

=765

so March is 765 reams

January+February+March

580+755+765=2100reams

Answer:

270

Step-by-step explanation:

One turn would put you in quadrant 2 and would be 90.  A second turn would put you in quadrant 3 and that would be 180.  A third turn would put you in quadrant 4 and that would be 270.  I know that it is hard to see what I mean by a turn.  It would be if you had a piece of tracing paper with the figure drawn on it and you turn the paper at the origin so that the lines at the corners would like up, each turn would be 90 more degrees.

Answer:

-10.25

Step-by-step explanation:

I'm not sure if this is what you want, but -7.5-2.75= -10.25