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A plane in which the coordinates of a point are its distances from two intersecting perpendicular lines called axes.

Which term is defined in the above statement?

Question 6 options:

Air Plane


Coordinate Plane


Quadrant


Ordered Pair

The point (2,50) means that the Cost of renting a generator for 2 hours is $50..

Answer:

0.5 ft

Step-by-step explanation:

Base = 8 ft and Height = 6 ft

Area of Triangle = 0.5*b*h

Area of Triangle = 0.5*8*6 = 24 sq.ft

To increase the Area by 2 sq.ft  so the New Area will be 26 sq.ft

New Area = 0.5*b*(New Height)

26=0.5*8*(New Height)

New Height = 6.5 ft

The Increase in Height = New Height - Old Height =  6.5 - 6 = 0.5 ft

The increase in the height of the triangle which has a base of 8 feet and a height of 6 feet, to increase its area by 2 square feet is 0.5 feet.

The area of a triangle is half the product of its base and its height, that is,

Area = (1/2)*base*height.

We have been asked to find the increase in the height of a triangle with base(b) = 8 feet and height(h) = 6 feet, such that its area increases by 2 square feet.

First, we find the initial area of the triangle,

Area = (1/2)*b*h (1/2)*8*6 = 24 square feet.

New area = initial area + 2 square feet = 24 + 2 = 26 square feet

Let the increase in height be x feet,

∴ New height(h1) = 6+x feet

∴ New area = (1/2)*8*(6+x),

But we know that the new area is 26 square feet, so we equate them to get:

(1/2)*8*(6+x) = 26

or, 4(6+x) = 26

or, 24 + 4x = 26

or, 4x = 26 - 24 = 2

or, x = 2/4 = 0.5

∴ The increase in the height of the triangle which has a base of 8 feet and a height of 6 feet, to increase its area by 2 square feet is 0.5 feet.

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Answer:

7.1

Step-by-step explanation:

Use SOH-CAH-TOA

With repsect to the angle, the adjacent and the hypotenuse was given. This calls for cosine:

cos(27) = 6.3/x

x = 6.3/cos(27)

x = 7.1

Answer: 7.07

Step-by-step explanation:

[tex]\cos = \frac{opposite}{hypotenuse}[/tex]

[tex]\begin{aligned}\cos 27^{\circ} &=\frac{K L}{K M} \\K M &=\frac{K L}{\cos 27^{\circ}} \\K M &=\frac{6.3}{\cos 27^{\circ}} \\K M &=7.07\end{aligned}[/tex]

Answer:

$105 per hour

Step-by-step explanation:

$648.50 - $71 = $577.50

$577.50 / 5.5 = $105 per hour

105 x 5.5 = 575.50

+ 71.00

648.50

The per hour charge of the technician is given as $15.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem can be solved by ratio method as follows,

The remaining cost charged by the technician is $648.50 - $71 = $577.50

Now, the per hour charge is remaining cost divided by total number of hours as given below,

577.50/5.5

= 57750/550

= 15

Hence, the cost of labor per hour is given as $15.

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Answer:

When translating phrases into algebraic expressions, you need to identify keywords and phrases which specifically refer to a mathematical operation (addition, subtraction, multiplication, and division). Usually, you can write out the algebraic expression of the verbal description in the order that it is said

Answer:

Please refer to the image

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Since its an exponential of a decimal number, as x goes on increasing the graph will start going to y=0.

You can plot the graph on any online graphing tool and see for yourself :)

Answer:

Option A

EXPLANATION

[tex]{{{\colorbox{teal}{{\huge \boxed{\bold{\color{red}{T}\color{bluee}{H}\color{pink}{A}\color{yellow}{NKS}\:\color{brown}{P}\color{purple}{o}\color{black}{i}\color{green}{n}\color{orange}{t}\color{gray}{s}}}}}}}}[/tex]

Answer:

4

Step-by-step explanation:

f(-3) simply means finding -3 for on the x axis and location its y coordinate. Hope it helps!

Answer:

90 I think

Sorry if its wrong!

Answer:

200 because i trust a calculator

Step-by-step explanation:

Based on the amount of wheat exported by Canada and Mexico, the number of times more wheat exported by Canada over Mexico is 0.26 times.

This can be found by the formula:

= Amount of wheat exported by Canada / Amount of wheat exported by Mexico

Solving gives:

= (2.21 x 107) / (8.5 x 105)

= 236.47 / 892.5

= 0.26 times

Find out more on country exports at https://brainly.com/question/20537024.

The equation of the line passing through the points (–3, 11) and (1, –3) is 7x +2y = 1. Then the correct option is B.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The line JK passes through points J(–3, 11) and K(1, –3).

We know that the equation of a line passing through two points is given as

[tex]\rm (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1} (x - x_1)[/tex]

Then we have

[tex]\rm (y - 11) = \dfrac{-3-11}{1 + 3} (x + 3)\\\\\\(y - 11) = \dfrac{-14}{4} (x +3)\\\\\\(y - 11) = \dfrac{-7}{2}(x +3)\\\\\\2y - 22 \ = -7x -21\\\\\\7x + 2y \ = 1[/tex]

The equation of the line passing through the points (–3, 11) and (1, –3) is 7x +2y = 1. Then the correct option is B.

More about the linear system link is given below.

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Answer:

132cm2

Step-by-step explanation:

1. Split the figure into a trapezoid and a rectangle.

2. Find the area of the trapezoid, which is 104cm2.

3. Find the area of the rectangle, which is 28cm2.

4. Add the areas to get 132cm2.

Answer:

605

Step-by-step explanation:

12(x-y)3+19x-37

x=30 y=28

12(30-28)3 +19(30)-37

12(2)3 + 570-37

72 +533 =605

Answer:  49.0 square meters

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

Explanation:

We'll first need to find the radius of the rug using the circumference.

C = 2*pi*r

r = C/(2pi)

r = (24.8)/(2*3.14)

r = 3.949045 which is approximate.

Now we can find the area

A = pi*r^2

A = 3.14*(3.949045)^2

A = 48.968163 this is also approximate

Rounding to the nearest tenth gets to 49.0

Answer:

2/3x + 1/6x = 30

x represents her money, because it is unknown

and 30 represents the leftover money she was left, so we solve for x.

x - (2/3x + 1/6x) = 30

Combine multiplied terms into a single fraction.

Find a common denominator;

x - 4/6x - 1/6x = 30

Combine fractions with common denominator.

Multiply all terms by the same value to eliminate fraction denominators;

6x - 4x - 1x / 6 = 30

Cancel multiplied terms that are in the denominator.

x/6 = 30

Multiply them.

*6     *6

To get,

x = 180

Jessica had 180 dollars in her pocket before shopping.

Two or more expressions with an Equal sign is called as Equation.

Let's assume that Jessica had 'x' dollars in her pocket before going shopping.

Jessica used 2/3 of her money to buy books, which is (2/3)x dollars.

She used 1/6 of her money to buy notebooks, which is (1/6)x dollars.

So, the total amount of money spent on books and notebooks is:

(2/3)x + (1/6)x = (4/6)x + (1/6)x = (5/6)x

Jessica had 30 dollars left in her pocket after shopping. So, we can write:

x - (5/6)x = 30

Simplifying the equation, we get:

(1/6)x = 30

Multiplying both sides by 6, we get:

x = 180

Therefore, Jessica had 180 dollars in her pocket before shopping.

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Answer:

B

Step-by-step explanation:

Line B best fits the data because some of the points fall on line B.

Hope this helps!

Answer:

1.The total cost is $520.47

2New Blance is $3,054.53

Answer:

C D F

Step-by-step explanation:

Taking -40/2, we know our answer must be -20.

Testing each answer choice proves this.

A= 40*1/2, which is equal to 40/2, which is 20.

B= -40*-1/2, again, equaling 20.

C= 40/-2. Since one of our terms is negative, this one is -20.

D= 40*-1/2, again, -20.

E= -1/40*2. This would equal -2/40, using fraction multiplication.

F= -40*1/2, Which is the exact same thing the original question asks.

Thus, our final answer is C, D, and F.

Answer:

4

Step-by-step explanation:

A) 80

B)-60

C) 2

D) -54

Step-by-step explanation:

Answer:

[tex]\frac{1331x-6\times \:121^x}{5\times \:121^x}[/tex]

Step-by-step explanation:

[tex]\frac{11^2x\times \:11^1-6\times \:121^x}{5\times \:121^x}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]11^2\times \:11^1=11^{2+1}[/tex]

[tex]=\frac{11^{2+1}x-6\times \:121^x}{5\times \:121^x}[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:2+1=3[/tex]

[tex]=\frac{11^3x-6\times \:121^x}{5\times \:121^x}[/tex]

[tex]11^3=1331[/tex]

[tex]=\frac{1331x-6\times \:121^x}{5\times \:121^x}[/tex]

[RevyBreeze]

Answer:

1

Step-by-step explanation:

[tex] \dfrac{11^{2x} \times 11^1 - 6 \times 121^x}{5 \times 121^x} = [/tex]

​[tex] = \dfrac{11 \times 11^{2x} - 6 \times 11^{2x}}{5 \times 11^{2x}} [/tex]

​[tex] = \dfrac{5 \times 11^{2x}}{5 \times 11^{2x}} [/tex]

​[tex] = 1 [/tex]

Answer:

Step-by-step explanation:

The expression (1+0.0325)^t represents amount in account after t years for 1 dollar. So multiplying the expression by 500 which is the initial deposit amount means it represents the amount of money in the account after t years.

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

Let's try to divide 1,772 and see how much math we need to do...

1,772 / 90 = 19.6888888889

Well, clearly we need more than 1,772!

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

Now, play around with adding numbers.

(I'm gonna skip all the experimenting, here's the closest # available for easy division!)

⇣

1,800 / 90 = 20

1,800

hope this helps

Answer:

Step-by-step explanation:

Place the numbers representing the divisor and the dividend into a division-like configuration.

−5

1

−5

2

−10

0

The first number in the dividend (1)

is put into the first position of the result area (below the horizontal line).

−5

1

−5

2

−10

0

1

Multiply the newest entry in the result (1)

by the divisor (−5) and place the result of (−5) under the next term in the dividend (−5)

.

−5

1

−5

2

−10

0

  −5

1

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

1

−10

Multiply the newest entry in the result (−10)

by the divisor (−5) and place the result of (50) under the next term in the dividend (2)

.

−5

1

−5

2

−10

0

  −5

50

1

−10

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

1

−10

52

Multiply the newest entry in the result (52)

by the divisor (−5) and place the result of (−260) under the next term in the dividend (−10)

.

−5

1

−5

2

−10

0

  −5

50

−260

1

−10

52

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

−260

1

−10

52

−270

Multiply the newest entry in the result (−270)

by the divisor (−5) and place the result of (1350) under the next term in the dividend (0)

.

−5

1

−5

2

−10

0

  −5

50

−260

1350

1

−10

52

−270

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

−260

1350

1

−10

52

−270

1350

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

1x3+−10x2+(52)x−270+1350x+5

Simplify the quotient polynomial.

x3−10x2+52x−270+1350x+5