how to solve system of equation from a table

ANSWER

4 units.

EXPLANATION

Triangle RQT is a right isosceles triangle.

This implies that:

RQ=RT=x.

Triangle RTS is also a right angle triangle with hypotenuse, RT=x.

Also, the side with length , 2√3 units is opposite to the 60° angle.

We use the sine ratio, to obtain:

[tex] \sin(60 \degree) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(60 \degree) = \frac{2 \sqrt{3} }{x} [/tex]

Solve for x to obtain;

[tex]x= \frac{2 \sqrt{3} }{ \sin(60 \degree)} [/tex]

This gives us:

[tex]x= \frac{2 \sqrt{3} }{ \frac{ \sqrt{3} }{2} } = 4[/tex]

Therefore the value of x is 4 units.

Answer:

[tex]A = 234mm^{2}[/tex]

Step-by-step explanation:

A rectangular prism (or orthohedron) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

The orthohedron is a straight prism and also a particular case of irregular quadrangular prism.

In a rectangular prism you can differentiate the following elements:

Bases: are two parallel and equal rectangles.

Faces: the four rectangles of the lateral faces and the two bases. Therefore, it has six faces.

Height : distance between the two bases of the prism. The height h coincides with any of the edges of the lateral faces.

Vertices: the eight points where three faces of the prism converge.

Edges: segments where two faces of the prism are found.

The surface area of ​​the rectangular prism (or orthohedron) is calculated by the following formula:

[tex]A=2(wh+lw+lh)[/tex] where w is width, l is length, and h is height.

Solving with l = 15mm, w = 3mm, and h = 4mm

[tex]A=2[(3mm)(4mm)+(15mm)(3mm)+(15mm)(4mm)][/tex]

[tex]A=2(12mm^{2}+45mm^{2} +60mm^{2}) \\A=2(117mm^{2})\\A= 234mm^{2}[/tex]

Answer:

Step-by-step explanation:

Look at the net of the prism in the picture.

We have

two rectangles 4mm × 15mm

two rectangles 3mm × 15mm

two rectangles 3mm × 4mm

The formula of an area of a rectangle: A = lw

l - length

w - width

l × w

Calculate the areas:

A₁ = 4mm · 15mm = 60mm²

A₂ = 3mm · 15mm = 45mm²

A₃ = 3mm · 4mm = 12mm²

The surface area:

S.A. = 2A₁ + 2A₂ + 2A₃

Substitute:

S.A. = 2 · 60 + 2 · 45 + 2 · 12 = 120 + 90 + 24 = 234mm²

The answer is:

a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

[tex]\sqrt{200}=14.14[/tex]

and rounding to the nearest tenth, we have that:

[tex]\sqrt{200}=14.1[/tex]

To solve the problem, we need to remember the following property of square roots:

[tex]\sqrt{ab}=\sqrt{a}*\sqrt{b}[/tex]

We are given the expression:

[tex]\sqrt{200}[/tex]

We can rewrite it by the following way:

[tex]\sqrt{100*2}[/tex]

Now, applying the square root property we have:

[tex]\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14[/tex]

Therefore,

a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

[tex]\sqrt{200}=14.14[/tex]

and rounding to the nearest tenth, we have that:

[tex]\sqrt{200}=14.1[/tex]

Have a nice day!

Answer:

The number of pounds collected by Steve is [tex]39-j[/tex]

Step-by-step explanation:

Let

j----> the number of pounds collected by Joy

s ---> the number of pounds collected by Steve

we know that

[tex]j+s=39[/tex]

Solve for s

That means-----> Isolate the variable s

Subtract j both sides

[tex]s=39-j[/tex]

Choice D, perpendicular is when the slopes are inverted to each other such as 1/2 and -2/1

Answer:

D

Step-by-step explanation:

Answer:

the answer would be A.  a measure of center, such as the median

Step-by-step explanation:

A measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

Some examples of a measure of center are median and mode. Some examples of a measure of variation are interquartile range and mean absolute deviation.

The salon manager wants one number to summarize all the values of the data set.

For this case we have that the distance between two points is:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 3 \sqrt {2}, 4 \sqrt {3})\\(x_ {2}, y_ {2}) :( 3 \sqrt {2}, - \sqrt {3})[/tex]

Substituting:

[tex]d = \sqrt {(3 \ sqrt {2} -3 \sqrt {2}) ^ 2 + (- \sqrt {3} -4 \sqrt {3}) ^ 2}\\d = \sqrt {(0) ^ 2 + (- 5 \sqrt {3}) ^ 2}\\d = \sqrt {0+ (25 * 3)}\\d = \sqrt {75}\\d = 5 \sqrt {3}\\d = 8.66[/tex]

Answer:

[tex]d = 8.66[/tex]

Answer:

36 cubic cm.

Step-by-step explanation:

To find volume, you multiply width by length by height, so 3x4x3, which is 36.

The answer is D because all of the dots are in the same place except for 2.

Answer:

Step-by-step explanation:

d

If this helps you please make it brainliest.

14. She has 12 possible choices.

15. $96

16. I don’t know about this one, sorry.

I7. 4/7

18. 1/3

Hope this helps!

Answer:

there wouldbe 9 of height i think

Step-by-step explanation:

[tex]v=\frac{\pi r^2h}{3} \\\text{solving for h}\\3v=\pi r^2h\\\\\boxed{\frac{3v}{\pi r^2}} = h[/tex]

Answer:

9.8

Step-by-step explanation:

[tex]51.94 /5.3=9.8[/tex]

Answer: 9.8

How I Found The Answer: All You Had To Do Was Divide 51.94 by 5.3. Which Equals 9.8

The answer for this problem is 40167.

To round this up to the nearest 10, if the ones is above 5, round it up.

To the nearest 10

40170

Answer:

40,170

Explanation:

 25,222

+14,945

 40,167

Then to round, we look at the ones column. Since there is a 7, which is greater than or equal to five, we round up to 70 from 67.

So our final answer is 40,170

Hope this was helpful, let me know of you need any further explanation!

Answer:

Step-by-step explanation:

Only (c) makes sense.  The game draws people, which in turn means more cars and heavier traffic in the surrounding area.

Answer:

C) The traffic is heavier around the stadium when a game is being played. Games being played cause more traffic.

Step-by-step explanation:

Answer:

Every line on the net has a measurement of 16.

Step-by-step explanation:

Every edge dimension of the cube has a measurement of 16, so the corresponding edges of the net (all edges) will have a measurement of 16. Put the number 16 next to each line on the net.

Answer:

I would cost $4.75

Step-by-step explanation:

9.50 / 2

4.75

Hope it´s helpfull :)

Answer:

6 cans cost $4.75

Step-by-step explanation:

To solve this divide $9.50 by 12. This will give you $0.7916... per one can.With that same number multiply it by 6 and you get $4.75.

Luke does a work of 308Nm

If we have a constant force [tex]\vec{F}[/tex] that acts on a body in the same direction as the displacement [tex]\vec{s}[/tex], then the work [tex]W[/tex] is defined as the product of the force magnitude [tex]F[/tex] and the displacement magnitude [tex]s[/tex]. In other words:

[tex]W=Fs[/tex], which is valid for a constant force in direction of straight-line displacement.

In this problem:

[tex]F=22N \\ \\ s=14m[/tex]

Therefore:

[tex]W=22\times 14 \\ \\ \boxed{W=308Nm}[/tex]

Answer:

Step-by-step explanation:

A.

First spin         Second Spin

____ Red   |---------Red

|                  |---------Green

|                  |--------Yellow

|

____Blue   |---------Red

                  |----------Green

                  |---------Yellow

B.    Probability of getting a red on the first spin = 1 /2.

Answer:

5 1/3

Step-by-step explanation:

16 - (2z-4)/3

Let z = 18

16 - (2*18-4)/3

Multiply inside the parentheses first

16 - (36-4)/3

Subtract inside the parentheses

16 - (32/3)

Divide inside the parentheses and change to a mixed number

16 - 10 2/3

Borrow 1 from 16 in the form of 3/3

15 3/3 - 10 2/3

5 1/3

Answer:

Your answer would be 5 1/3.

Step-by-step explanation:

16- (2(18)-4)/3

16- (36-4)/3

16/1 - 32-3

48/3 - 32/3 = 16/3

16/3 converted to a mix number is 5 1/3

Hope I helped :)

Answer:

y int (0, -2) x int (5, 0) slope 2/5

Step-by-step explanation:

2(0)-5y=10

-5y=10

y=-2

2x-5(0)=10

2x=10

x=5

2x-5y=10

-5y=-2x+10

y=2/5 x -2

Answer:

The square root of 25 is 5 because whenever it's a number multiplied by the same number like 4×4, 5×5, 8×8 and so on, you are squaring that number since you are multiplying the same number twice. Hope this helps and I'm sorry if my explanation is not that clear:)

Final answer:

The width of the parking lot is 11 meters and the length is 33 meters.

Explanation:

To find the width of the rectangular parking lot, let's assume that the width is 'x'. According to the given information, the length of the parking lot is three times the width, so the length is 3x.

The formula for the perimeter of a rectangle is P = 2(length + width). In this case, the length is 3x and the width is x. Plugging in these values, we get:
P = 2(3x + x) = 2(4x) = 8x

We know that the length of the parking lot is 88 meters, so we can set up an equation:
88 = 8x
To solve for x, divide both sides of the equation by 8: x = 11.

Therefore, the width of the parking lot is 11 meters and the length is 3 times the width, which is 33 meters.

Answer:

8

Step-by-step explanation:

The required value in the fill-in-the-blank is 8, which is completely factored into the product of two binomials: (x-7) and (x-8).

To fill in the blank in the expression x²-15x+56=(x-7)(x-____), we need to find the missing factor that, when multiplied by (x-7), gives us the original quadratic expression.

Factor the quadratic expression x²-15x+56 by finding two numbers that multiply to 56 and add up to -15, which are -7 and -8.

Therefore, we can rewrite the quadratic expression as:

x² - 15x + 56 = (x - 7)(x - 8)

This means that the quadratic expression can be completely factored into the product of two binomials: (x-7) and (x-8).

Thus, the required value in the fill-in-the-blank is 8.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ2

Answer:

two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!

Step-by-step explanation:

The area of the paper is Length x width = 8 x 11 = 88 square inches.

Each game piece was 1 inch in diameter.,so you could cut it out of a 1 inch square.

So each square inch of the paper could be a game piece.

You could make 88 game pieces.

You can make 88 pieces

Answer:

10 problems

Explanation:

The ratio can be used to find the number of problems left. Then, you can add all the problems together to find your final answer.

Answer: 8 + 4 + 1

Step-by-step explanation:

I didn't really understand your question. can you add a photo of the question

I believe the equation would be x + 1 = 3y because as the x values increase by 1, the y values are multiplied by 3.

I hope this helps you!

Answer:

see explanation

Step-by-step explanation:

The form of the exponential function is

y = a [tex](b)^{x}[/tex]

To find a and b choose any 2 ordered pairs of points from the table

Using (0, 9) and substituting into the equation

9 = a[tex](b)^{0}[/tex] ⇒ a = 9

Using (1, 27) and substituting into the equation

27 = 9b ⇒ b = 3

Equation is y = 9[tex](3)^{x}[/tex]

Answer:

y=1/3x+1

Step-by-step explanation:

y=mx+b

y=1/3x+b

2=1/3(3)+b

2=1+b

1=b

y=1/3x+1

Answer:

5/12

Step-by-step explanation:

The probability of throwing an even number (2 4 6) out of six numbers on the die (1 2 3 4 5 6) is

3/6

The probability of throwing a number greater than 1 is 5 out of 6.

The probability of both events occurring is 1/2 * 5/6 = 5/12 or just under 1/2

Answer:

Step-by-step explanation:

Note that this function is not defined at x = 0; it does have a vertical asymptote which is the line x = 0, as well as a horiz. asymptote which is the line y = 0.  This function is odd because the power of x is -1 (a negative odd number).   Half the graph appears in Quadrant I:  (1, 1), (2, 1/2), (3, 1/3), etc.

The other half is the reflection of the Quadrant I part in the origin, and this is because the function is odd.

For every x value (left or right), put it into the equation to find the y value (up or down).

For example, if the x value is 1, then the y value is 1/1 or 1.