The length and the width of a rectangle are (2x+5) cm and (2x-7) cm respectively. Given that the area of the rectangle is 14cm^2, find its length and width.

Answer:

What?

Step-by-step explanation:

This is a simple problem of ranges, we will find that the ranges for the main floor and the balcony are:

[-6ft, 8ft] or {x ∈ R | -6ft ≤ x ≤ 8ft}

[26ft, 37ft] or {x ∈ R | 26ft ≤ x ≤ 37ft}

respectively.

We know that:

The main floor of the auditorium ranges from 6ft below the stage  to 8 feet above the stage.

The floor of the balcony ranges from 26 to 37 feet above the stage

The ranges relative to the stage will be, in interval notation, the interval that contains the two extremes of the range.

For the main floor, it goes from -6ft to 8ft (the first one is negative because is 6ft below the stage) then this interval will be: [-6ft, 8ft]

While in set-builder notation we want to specify that the variable must be a real number, so we start with: {x ∈ R

And we need to specify that x can go from -6ft to 8ft, then we add the restriction:

{x ∈ R | -6ft ≤ x ≤ 8ft}

Notice that we use a close interval here.

While for the balcony, the minimum is 26ft and the maximum is 37ft, then the interval will be [26ft, 37ft]

For the set-builder notation we will have:

{x ∈ R | 26ft ≤ x ≤ 37ft}

If you want to learn more, you can read:

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Answer:

[tex]1275+0.2m=c[/tex]

m is the amount of miles driven, c is the total cost.

Step-by-step explanation:

Since she has a flat fee of 1275, that's the 1275 in the equation and since we don't know how many miles she drives, that's the m in the equation for miles driven. Since each mile costs 0.20, that's the 0.2 in the equation. And since c is the total cost in dollars, that's the c in the equation.

Answer:

-60.4 dollars

Step-by-step explanation:

Remember to do subtraction for the net worth if you count a loss.

225.45 - 285.85 = -60.4

Answer:

5

Step-by-step explanation:

The pythagorean theorem

A^2+B^2=C^2

A^2 =12^2

b^2 is what you need to find

C^2= 13^2

so it's

144+B^2=169

-144         -144

B^2=25

square root of 25 is 5 which is the answer

Answer:

Each of the domain values, x, should only output a single unique range value, y.

This example is a relation and not a function because the the domain value of -1 output 2 distinct range values.

-1 outputs a 3

and

-1 outputs a 5

If I were to draw a vertical line at the domain value of -1 that vertical line would intersect the points (-1,3) and (-1,5). Which indicates that the relation is not a function.

Answer:

None of the following set of points represents a function .

Answer:

A

Step-by-step explanation:

This uses the sine law.

Sin(theta)/113 = sin(42)/120             Multiply both sides by 113

sin(theta) = 113*sin(42)/120

sin42 = 0.6691

sin(theta) = 113 * 0.6691 / 120

sin(theta) = 0.630008

theta = sin-1(0.63008)

theta = 39.1    Looks Like A

Answer:

6

Step-by-step explanation:

6 decimal places

0.005011 has six decimal places.

'The place value of a decimal number is recognized according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths.'

According to the given problem,

For the number 0.005011, after the decimal there are numbers up to the sixth place which is that there are six numbers.

For counting decimal places, we need to count the number of digits present to the right of decimal point.

Hence, we can conclude that 0.005011 has 6 decimal places.

Learn more about decimal places here:

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Answer:

1. 8t+4v

A.9v+7t+6

S.14v+7t

Answer:

6 seconds

Step-by-step explanation:

h(x)=-(x-2)^2+16

We want h(x) to be 0 ( that is when the ball hits the ground)

0 = -(x-2)^2+16

Subtract 16 from each side

-16  = -(x-2)^2+16-16

-16 = -(x-2)^2

Divide by -1

16 = (x-2)^2

Take the square root of each side

sqrt(16) = sqrt((x-2)^2)

±4 = x-2

Add 2 to each side

2±4 = x-2+2

2±4 =x

2+4 = x   2-4 = x

6 =x  -2 =x

Time cannot be negative so x=6

Answer:

X = 6

Step-by-step explanation:

hope it will help you

Answer:

The last one

Step-by-step explanation:

0.3333..., 30%, 3/10 are parts.

The last one ( 3 circles) are 3 wholes.

(whole numbers)

I hope this helped:)...

:-)

Hey there! I'm happy to help!

30% is the same thing as 0.3, which is 30% of 1.

0.3 is what you multiply numbers if you want to see what 30% of that number is as 0.3 is 30% of 1, the whole number.

3/10 is the same value as 30% because 3 divided by 10 is equal to 0.3, which is 30%.

The dots in the boxes are also the same thing as 3/10. There are 10 boxes, and 3 out of the 10 have dots, which is 3/10 and 30%.

The one that does not belong is 0.333333...... This is equivalent to 1/3, which is greater than 30%, 0.3, and 3/10.

Have a wonderful day and keep on learning! :D

Step-by-step explanation:

v=s^3 s=3^4=81

v=(81)^3

v=531,441 cm^3

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

In A,

length=3units

width=2 units

area=length×width

area=3×2 sq.units

area=6 sq.units

In B,

length=1unit

width=4units

area=length × width

area=1unit × 4units

area= 4 sq.units

Note:if you need to ask any question please let me know.

Answer:

829  - 9

31 - 30

939 - 900

275 - 200

409 - 400

820 - 20

733 - 3

8071 - 70

322 - 300

9924 - 9000

54 - 50

4311 - 300

958 - 900

130 - 30

581 - 500

205 - 5

2464 - 400

482 - 400

4191391 - 4000000

804 - 4

8756 - 700

103 - 100

3913 - 3000

93 - 3

724 - 700

5602582 - 600000

582 - 80

Answer:

Step-by-step explanation:

6x-3+2x-1=10x-18

8x-4=10x-18

18-4=10x-8x

14=2x

X=7

AB = (6*7)-3=39

BC=13

AC=39+13=52 or

AC=(10*7)-18=52

Answer:

AB = 4

Step-by-step explanation:

Since the line is horizontal then its length is the difference of the x- coordinates, that is

AB = | 8 - 4 | = 4 , or

AB = | 4 - 8 | = | - 4 | = 4

Answer:

Let 3x+32 - be the complement angle

x - be the angle

Therefore,

3x+32+x = 90

4x = 58

x = 14.5°

and the compliment is, 75.5°

Hope that helps!

Step-by-step explanation:

Properties of the number 6425

Factorization5 * 5 * 257Square root80.156097709407Natural logarithm8.7679519097634Decimal logarithm3.8078731320033Sine-0.42867294834975

Answer:

10 areas

Step-by-step explanation:

5 minutes = 1 area

→ Divide the 50 by the 5

50 ÷ 5 = 10

→ Multiply this by the area

10 × 1 = 10

Answer:

YES WE CAN SAY THAT 100 AND 10 ARE RELATED AS 10×10=100 AND 100÷10=10

Answer

10.6

Explanation

Logic

Answer:

3 times Mike's amount = 3h

Answer:

Step-by-step explanation:

[tex]0.8 = \dfrac{8}{10}=\dfrac{2*4}{2*5}=\dfrac{4}{5}[/tex]