Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,390.49 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?

Answer:

3

Step-by-step explanation:

3 because 37° and 53° these sum is 90°.

Answer:

3. cos(53)=sin(37)

Step-by-step explanation:

let y be the third side

cos(53)= adj/hyp

           =y/16

sin(37)=opp/hyp

          =y/16

therefore, sin(37)=cos(53)=y/16

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]

Answer:

600 acres

Step-by-step explanation:

Hope this helps!

The number of acres of land Mcgregor has 600 acres.

Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of acres be x.

So, 30% of x=180

⇒ 30/100 × x=180

⇒ 0.3x=180

⇒ x=180/0.3

⇒ x=600

Hence, the number of acres of land Mcgregor has 600 acres.

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Answer:

10

Step-by-step explanation:

Answer:

It would be a I think

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.

Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.

Answer:

the dimensions will be 2 x 1

Option C is correct option.

Step-by-step explanation:

We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]

The dimensions consists of rows and columns in the form. Rows x Columns

In the given matrix the rows are: 2

The columns are: 1

So, the dimensions will be 2 x 1

Option C is correct option.

Answer:

It is going to be the first one on the top left.

Step-by-step explanation:

the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.

A relation will be a function if for every single input there is only one output thus option (A) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given diagrams,

A relation will be a function if for every single input there is only one output.

In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.

In the first diagram for  every single input there is only one output.

Hence "A relation will be a function if for every single input there is only one output".

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Answer:

A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

Answer:

Here it is simplified

Step-by-step explanation:

Answer:

8 beacaus the seven increased from 4

The quotient after increased by 4 is 8.

To calculate the quotient of 28 divided by 7, we perform the division and get:

28 ÷ 7

= 28/7

= (7 x 4)/ 7

= 4

Next, we are asked to increase this quotient by 4. Adding 4 to the quotient:

= 4 + 4

= 8.

Therefore, the quotient after increased by 4 is 8.

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20% = 1/5

0.35 = 35/100 but simplified is 7/20

I hope this helps, and Happy Holidays! :)

Answer: C

Step-by-step explanation: 45 divided by 18 is 2.5

Answer:

scalene

Step-by-step explanation:

no sides are the same

Answer:

9,450 feet

Step-by-step explanation:

Answer:

168 gallons

Step-by-step explanation:

Correct question;

If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?

If 14 gallon of paint covers 112 of a wall, this can be expressed as;

14 gallons = 1/12 of the wall

x gallons = entire wall (1 wall)

Cross multiply

1/12 * x = 14

x/12 = 14

Multiply both sides by 12

x/12 * 12 = 14*12

x = 168 gallons

Hence 168galons of paints are needed for the entire wall

Answer:

first four terms are 2, 7, 12, 17

Step-by-step explanation:

use this formula:  [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d

where 'n' equals the position in the sequence the term is in and 'd' is the common difference

if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula

[tex]a_{1}[/tex] = 2

[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7

[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12

[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17

The first four terms of the arithmetic sequence are 2, 7, 12, and 17.

It is a sequence where the difference between each consecutive term is the same.

We have,

First term = 2

Common difference = 5

First term = 2

Second term = 2 + 5 = 7

Third term = 7 + 5 = 12

Third term = 12 + 5 = 17

Thus,

The first four terms of the arithmetic sequence are 2, 7, 12, and 17.

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Answer: ∞

Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).

Answer:

7k+6 is your answer to the question

Answer:

i think its the first one

Step-by-step explanation:

if u subtract it , then it shouldn't be given a + sign at all

it should stay subtraction

have a good day! :)

plz give me brainliest

Answer: -7x to the seventh power+ x

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Inside the parentheses, we see 5+3, which equals 8. Now, do 8x4, which equals 32!

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

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

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

 7            24.50

 8            22.75

and so on...

Step-by-step explanation:

1. Angle GFH and Angle KFH forms linear pair

and hence they are supplementary

( sum of the angles = 180° )

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

Answer:

B. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Angle = 37°

Adjacent Leg = x

Hypotenuse = 10

Step 2: Solve for x

Step-by-step explanation:

please it my steps to work on paper whorksheet