A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 1.2 feet.

What is the surface area of the actual ramp, including the underside?

Enter your answer as a decimal in the box.

Answer:

SO this equation is y={4-3x}

This is an absolute value so the domain is all real numbers

For this equation, we are shifting left 3 and up 4

The vertex is (1,1) Turning point

Points:
(-1,7)

(0,4)

(1,1)

(2,2)

(3,5)

(4,8)

It will make a v shape

(if u were too do this on the ti-84, hit y=, then hit 2nd catalog and hit abs, plug in the equation; then hit 2nd graph to get the table. You will need to find the vertex by finding the number at which they are not the same)

I hope this helps!

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be g(x) = (x + 4.5)^2

Given the function expressed as
f(x) = x^2

If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be:

g(x) = (x + 4.5)^2

Note that translation to the left means addition of the factor

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Answer:

[tex]12x^5-9x^2-6x[/tex]

Step-by-step explanation:

[tex]\left(4x^5+8x^5+3x\right)-\left(3x^2+6x^2+9x\right)[/tex]

[tex]4x^5+8x^5+3x-\left(3x^2+6x^2+9x\right)[/tex]

[tex](4x^5+8x^5):12x^5[/tex] ( Combine like terms)

[tex]12x^5+3x-\left(3x^2+6x^2+9x\right)[/tex] (Apply the distributive law)

[tex]12x^5+3x-9x^2-9x[/tex]

[tex](3x-9x):-6x[/tex]  ( Combine like terms)

[tex]12x^5-9x^2-6x[/tex]

~

Answer:

[tex]\sf 9x^2 - 12x^5 +6x[/tex]

solving steps:

[tex]\hookrightarrow \sf (3x^2 + 6x^2 + 9x )- (4x^5 + 8x^5 + 3x)[/tex]

remove parenthesis

[tex]\hookrightarrow \sf 3x^2 + 6x^2 + 9x - 4x^5 - 8x^5 - 3x[/tex]

group variables

[tex]\hookrightarrow \sf 3x^2 + 6x^2 - 4x^5 - 8x^5 - 3x+ 9x[/tex]

simplify

[tex]\hookrightarrow \sf 9x^2 - 12x^5 +6x[/tex]

Answer:

[tex]55.7 feet[/tex]

Step-by-step explanation:

[tex]h=\sin{\left(23\right)\times135}[/tex]

[tex]\sin{23}\approx0.39[/tex]

[tex]h=0.39\times135=52.65\left(feet\right)\[/tex]

[tex]H=h+3[/tex]

[tex]=52.65+3[/tex]

[tex]=55.65\left(feet\right)[/tex]

[tex]55.65\ feet\approx55.7\ feet[/tex]

I hope this helps you

:)

Answer:

Keep track of every 1, 2, 3, or 4. These represent the number of days the temperature is above 80 degrees F. repeat this 20 times.

Answer:

A quadrilateral has 4 sides, 4 angles and 4 vertices.

Answer:

Step-by-step explanation:

35

Answer:

3080

Step-by-step explanation:

The correct answer is the inverse matrix: [ 1 -3 2]

                                                                      [ 2 -5 3]

                                                                      [-1 3 -2]

To find the inverse matrix that can be used to solve the given system of equations, we need to represent the system in matrix form as AX = B, where A is the coefficient matrix, X is the column matrix of variables, and B is the column matrix of constants.

The given system of equations can be written as:

[1 -1 -1] [x] [ 4]

[-1 2 3] * [y] = [-2]

[ 1 1 4] [z] [10]

To find the inverse matrix, we'll set up the augmented matrix [A | I], where I represents the identity matrix:

[1 -1 -1 | 1 0 0]

[-1 2 3 | 0 1 0]

[1 1 4 | 0 0 1]

Using Gaussian elimination, we'll perform row operations to transform the left side into the identity matrix, while applying the same operations to the right side. The resulting matrix on the right side will be the inverse matrix.

After performing the row operations, the augmented matrix becomes:

[1 0 0 | 1 -3 2]

[0 1 0 | 2 -5 3]

[0 0 1 | -1 3 -2]

Therefore, the inverse matrix is:

[ 1 -3 2]

[ 2 -5 3]

[-1 3 -2]

Hence, the correct answer is the inverse matrix:

[ 1 -3 2]

[ 2 -5 3]

[-1 3 -2]

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Answer:

3/4

Step-by-step explanation:

Given:

⇒ 1/4 are boys

To Solve/Find:

⇒ What fraction are girls

Solve:

well, We know that 4/4 = 1 Whole

Thus, We have to Subtract to find what fraction are girls

→ 4/4 - 1/4 = 3/4          

Hence, We can conclude that 3/4 are girls

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The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation for Bella:

c = 0.1n + 150

Where C is the monthly cost for n checks.

For Justin:

1.2 = 3k

k = 0.4

C = 0.4n

To have the same cost:

0.1n + 150 = 0.4n

n = 500

c = 0.4(500) = 200

The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.

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Answer:

[tex]64 \frac{1 3}{21} ft {}^{2} [/tex]

Step-by-step explanation:

Area of the garden:

[tex](8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)[/tex]

Step-by-step explanation:

(b) since a negative number added to a positive one it will be positive

Answer:

2x² + 5x - 12

steps:

→ (x+4)(2x-3)

By distributive method:

→ (x)(2x) +4(2x) +x(-3) +4(-3)

simplifying:

→ 2x² + 8x - 3x - 12

final answer:

→ 2x² + 5x - 12

Answer:

600 + 40 + 8 + .2 + .09 + .007 = 648.297

Answer:

300 [tex]m^{2}[/tex]

Step-by-step explanation:

The spread has a rate of 25 [tex]m^{2}[/tex] per every 1/6 hour.  That can be expressed as   25 [tex]m^{2}[/tex] per every 1/6 hour:

25 [tex]m^{2}[/tex]/ (1/6 hour), or

150 [tex]m^{2}[/tex]/hour

After 2 hours, the spread would be (150 [tex]m^{2}[/tex]/hour)*(2 hours) = 300 [tex]m^{2}[/tex]

Answer: the answer to your question is 8.0

Step-by-step explanation:

Sin theta = opposite /hypotenuse sin 53 = x/10

Multiply each side by 10

10 sin 53 = x

7.9863551

To the nearest tenth

x = 8.0

Answer:

x>

4

9

Step-by-step explanation:

|3x−4|<6x

Let's find the critical points of the inequality.

|3x−4|=6x

We know either3x−4=6xor3x−4=−6x

3x−4=6x(Possibility 1)

3x−4−6x=6x−6x(Subtract 6x from both sides)

−3x−4=0

−3x−4+4=0+4(Add 4 to both sides)

−3x=4

−3x

−3

=

4

−3

(Divide both sides by -3)

x=

−4

3

3x−4=−6x(Possibility 2)

3x−4+6x=−6x+6x(Add 6x to both sides)

9x−4=0

9x−4+4=0+4(Add 4 to both sides)

9x=4

9x

9

=

4

9

(Divide both sides by 9)

x=

4

9

Check possible critical points.

x=

−4

3

(Doesn't work in original equation)

x=

4

9

(Works in original equation)

Critical points:

x=

4

9

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<

4

9

(Doesn't work in original inequality)

x>

4

9

(Works in original inequality)

Answer:

x>

4

9

Answer:

A

Step-by-step explanation:

because me smart

a square has four equal sides, and we know the perimeter or namely the sum of all those four sides is 1/7 yard, so

s = length of one side.

[tex]s + s + s + s = \cfrac{1}{7}\implies 4s=\cfrac{1}{7}\implies s=\cfrac{~~ \frac{1}{7}~~}{4}\implies s=\cfrac{~~ \frac{1}{7}~~}{\frac{4}{1}} \\\\\\ s=\cfrac{1}{7}\cdot \cfrac{1}{4}\implies s=\cfrac{1}{28}~yd\qquad \stackrel{\textit{how many feet is that?}}{s = \cfrac{1~yd}{28}\cdot \cfrac{3~ft}{yd}}\implies s=\cfrac{3}{28}~ft[/tex]

Answer:

$321.71

Step-by-step explanation:

To do this problem, we have to multiply 8.25 by 39 because Kristen gets paid $8.25 per hour, and she worked for 39 hours. Here is my work below:

[tex]8.25 X 39=321.71[/tex]

So, Kristen gets paid $321.71 for working 39 hours.

Hope this helps! :)

Have a blessed day! :)

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Answer:A

Step-by-step explanation:

Because as you look around we notice line A. We can see that when we look at it there is symmetric. The line divide both of the parts equal

Answer: I think he gets 1/2 of something

Step-by-step explanation:

Let us set up some variables:

Now let us set up some equations based on the facts:

Equations:

   L = 4W     -- equation 1

   2L + 2W = 80 -- equation 2

   Plug the value of L from equation 1 into equation 2

    2(4W) + 2W = 80

     8W + 2W = 80

        10W = 80

           W = 8 -- equation 3

   Plug the value of W from equation 3 into equation 1:

    L = 4W = 4 * 8 = 32

Therefore the length is 32 and the width is 8.

Hope that helps!

Answer:39 hours

Step-by-step explanation:First, let's find the rate of money per hour:$554.30 / 23 hour= $24.1 / 1 hourDaniel earns $24.10 every hour he works.To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:$939.90 / 24.10= 39Now, we can check:$24.10 * 39= $939.90

Any straight line segment can be extended indefinitely and straight line segment can be drawn between any two points can apply. Therefore, options A and D are the correct answers.

"Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid"

As per the five basic postulates of Euclidean geometry

A straight line can be drawn from any point to another point.

A terminated line can be further produced indefinitely.

A circle can be drawn with any Centre and any radius.

All right angles are equal to one another.

If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles , then the two lines inevitably must intersect each other on that side if extended far enough.

Therefore, options A and D are the correct answers.

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