Paul built a triangular garden in his backyard, which is enclosed by a rectangular fence. How much of the backyard is not covered by the garden

Answer:

x = -2

Step-by-step explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96       Now combine like terms:

--------------------

       13y = 91

Solving for y by dividing both sides by 13:  y = 7

Find x by substituting 7 for y in the second equation:  -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2

Answer:

22.5 cans of paint

Step-by-step explanation:

[tex]n=3*10*\frac{3}{2*2} =30*\frac{3}{4} =22.5 cans[/tex]

Answer:

You need 22.5 cans of paint to paint 10 walls with 3 layers.

Step-by-step explanation:

[tex]\frac{3}{2*2}[/tex] = 0.75 (Represents how many cans of paint it takes to paint 1 wall with 1 layer)

0.75 * 10 * 3 = 7.5 * 3 = 22.5 (The number of paint needed for 1 wall with 1 layer multiplied by 10 walls with 3 layers to get the total amount of paint needed)

Answer:

A

This other person is correct about the answer the dependent variable is the variable that is being measured or tested in an experiment and response variable is a another way of saying that.

Answer:response variable

Step-by-step explanation:

plato

Answer:

22.7 miles

Step-by-step explanation:

19+8.7=22.7

Answer:

One thing that must be true is that the objects will cause some leaning because their masses are unequal, judging from the volume that the objects can hold. One thing that could be true is that the triangle could be heavier than the square, leading to a leaning toward the left. The second pic cannot be true, for there are too much mass concentrated on one side to maintain equilibrium.

Answer:

L = 24,873.6 miles

Step-by-step explanation:

Length of the Circumference

Given a circle of radius r, the length of the circumference, or line surrounding the shape is:

The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:

r=7,917.5/2=3,958.75 miles

Assuming a plane flies around the equator at ground level, the distance it would travel is:

L = 24,873.6 miles

Answer:

It would end up becuase it is positive

Step-by-step explanation:

Answer:

x=0.25

Step-by-step explanation:

8x=2

4x=1

4x÷4=1÷4

x=0.25

Answer: C

Step-by-step explanation:

6 x 2 − 13 x − 5  hope this helped,

Answer: (3x+1)(2x−5)

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Step-by-step explanation:

Answer:

a) third degree trinomial

Step-by-step explanation:

The degree of a polynomial is the same as the degree of the term of the polynomial with the highest degree. The degree of a term is the sum of all the exponents of the variables of the term. Remember that a variable such as x, or y, or z has degree 1.

Now we look at the degree of each term:

2x: degree 1 (since x is the same as x^1)

10x^2: degree 2

-x^3: degree 3

The term with highest degree is the last term which has degree 3, so the degree of the polynomial is 3.

The polynomial has 3 terms, so it is a trinomial.

Answer: a) third degree trinomial

Answer:

[tex] \frac{8\pi}{5}[/tex]

Step-by-step explanation:

Since this is a degree we going to use the arc length formula

[tex]2\pi \times( r)( \frac{x}{360)} [/tex]

where x is the central angle measure and r is the radius.

The radius is 6 and the central angle is 48 so let plug that in the formula

[tex]2\pi \times (6)( \frac{48}{360} )[/tex]

Multiply 2 pi by 6

[tex]12\pi \times ( \frac{48}{360} )[/tex]

[tex]12\pi \times \frac{4}{30} [/tex]

[tex] \frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30} [/tex]

[tex] \frac{8\pi}{5} [/tex]

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

Explanation:

The value of k determines the slope, or rate of change, of how fast the balloon is climbing per second.

For example, if k = 5, then that means the balloon is going upward at 5 feet per second (equivalent to roughly 3.41 mph)

If k = 5, then y = kt becomes y = 5t. Note how we have the following

and so on. Each time t goes up by 1, d goes up by 5. This is one way to see how the speed is 5/1 = 5 ft per second.

Answer:

1st one: 270 ft ^2

2nd: 30 square yards

Step-by-step explanation:

The first one you have to find the area. 15×18= 270

The second one you take the previous answer and divide by 9= 30 square yard. (Might be wrong?)

Answer:

2 3/10

Step by step explanation:

Answer:

xy = - 27

Step-by-step explanation:

Note that

(x - y)² = x² - 2xy + y² ← substitute given values, that is

9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

Answer:

Rate of change = 150%

Rate of change = 100%

Rate of change = 100%

Step-by-step explanation:

Find:

Rate of change

x=2 and x=5

x=3 and x=6

x=2 and x=4

Rate of change = [(5-2)/2]100

Rate of change = 150%

Rate of change = [(6-3)/3]100

Rate of change = 100%

Rate of change = [(4-2)/2]100

Rate of change = 100%

Answer:

2 4 8         next : increases

Step-by-step explanation:

Answer:

The answer is 2

All lines that are parallel have the same slope

Answer:

the slope is (2)

Step-by-step explanation:

Two lines that are parallel to each other have the same slope so,

the equation y=2x+5 is in the form y=mx+c

where m is the slope of the line so if we compare both equations we can see that the slope of the line given will be 2 and therefore, the slope of the line parallel to it will be the same (2)

Answer:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher. When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol. For example, 3√(8) means to find the cube root of 8. If there is no superscript number, the radical expression is calling for the square root.

The term underneath the radical symbol is called the radicand.

I hope it's helpful!

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

https://brainly.com/question/14926756

Answer: (1, 7)

Step-by-step explanation:

When you reflect over the line y = x, the x and y switch places so it goes from (x, y) to (y, x)

(7, 1) to (1, 7)

Answer:

base=24

Step-by-step explanation:

2*4=8

192/8=24

Answer:

20/29

Step-by-step explanation:

Sin is Opposite/Hypotenuse. The opposite leg is 20, and the hypotenuse is 29.

Answer:

Step-by-step explanation:

The experimental probability of choosing pink is

18/50

9/25

Answer:

The answer would be 18/50

Step-by-step explanation:

First part

Prob(Pink) = 18/50

Step-by-step explanation:

[tex] - \frac{11}{14} \times - \frac{1}{17} \\ = \frac{11}{14 \times 17} \\ = \frac{11}{238} [/tex]

Hope it will help :)

Answer:

The answer is 11/238

Hope it helps

Answer:

3 hours

Step-by-step explanation:

$30 + $10 = $40

* Just for a hour and the fee*

$128 ÷ $40 = 3

Answer:

he paid 8 hours

Step-by-step explanation:

kasi ibawas mo ang 30£ sa booking tapos i add mo yung 80£ sa

hours sa hall kasa naging 8 hours

Answer:

45 degrees

Step-by-step explanation:

Using the pythagorean theorem, the 3rd side=19. So the triangle is isosceles and therefore the 2 angles we don't know the measure of are congruent. One angle measures 90 degrees. So the last 2 angles must be 90 together, since we know a triangle equals 180 degrees. Therefore the angle we are trying to find is 45 degrees.