Joanne has a rectangular kitchen that is 10 ft by 15 ft. She decides to increase the length and the width by the same amount (x) in order to have a new kitchen whose area is double the area of the original kitchen. How much should the length and the width increased by?

Answer:

Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.

A trig identity is an equation that is true for all values of x;

For example:

sin²x + cos²x will always equal 1 no matter what the value of x.

There are some equations considered to be identities that are in fact not true all the time.

tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).

A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.

For example:

sin²x - 1 = 0 is only true for some values of x.

sin²x = 1

sinx = ±√(1) = ±1

sinx = 1 or sinx = -1

x = sin-11 or x = sin-1(-1)

x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).

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Answer:

0.244

Step-by-step explanation:

1.22÷5

Expand 1.22/5 by multiplying both numerator and the denominator by 100.

122/500

Reduce the fraction 122/500 to lowest terms by extracting and canceling out 2.

61/250

Convert to decimal form.

0.244

Answer:

...

Step-by-step explanation:

Answer:

so you have a 40% chance or 2/5 chance

Step-by-step explanation:

30 numbers in total

12 are less than 13

so you have a 12/30

simplify

2/5 = 0.4 or 40%

Answer:

80 ft

Step-by-step explanation:

Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.

Answer:

x = 22.5

Step-by-step explanation:

→ Remember how many degrees the point to a radius is

90°

→ Set up an equation

x + 3x = 90

→ Simplify

4x = 90

→ Divide both sides by 4

x = 22.5

Answer: $2400

Step-by-step explanation:

Given

Interest earned is $450

The rate of interest is R=7.5%

Time period T=2.5 years

Simple Interest is given by

[tex]S.I.=\dfrac{P\times R\timesT}{100}\quad [\text{P=Principal}][/tex]

Substitute values

[tex]450=\dfrac{P\times 7.5\times2.5}{100}\\\\P=\dfrac{450\times 100}{7.5\times 2.5}=\$2400[/tex]

Answer:

e - 3 = 15

or if you're looking for the answer to the problem

18

Step-by-step explanation:

Answer:

siudsckjznc

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4

Hope this helps!

Answer:

[tex]Area = 51.68yd^2[/tex]

Step-by-step explanation:

Given

[tex]h = 9yd[/tex] -- height

[tex]a = 2.5yd[/tex] --- base sides

Required

Determine the surface area

The net is not given. So, I will solve directly.

The surface area is calculated as:

[tex]Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}[/tex]

So, we have:

[tex]Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}[/tex]

[tex]Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}[/tex]

[tex]Area = 6.25 + 5\sqrt{1.5625 + 81}[/tex]

[tex]Area = 6.25 + 5\sqrt{82.5625}[/tex]

[tex]Area = 6.25 + 5* 9.086[/tex]

[tex]Area = 51.68yd^2[/tex]

Answer:

B Increase: 1, 6

B Decrease: 2, 5

Step-by-step explanation:

Brainliest plz ;)

Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

Answer:

3) x=11

4) x=65 degrees

I can explain more if you need but since you need it quick basically theyre just the same as the other side since its a 90 degree angle and the line is going through the center

Answer: x is 11 and 65 like they said

Step-by-step explanation:

Answer:

3g -13

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

80 divided by 100 = .8 or 0.8

Answer:

[tex]A=200.96\ unit^2[/tex]

Step-by-step explanation:

Given that,

The circumference of the circle, C = 50.24 units

We need to find the area of the circle.

The formula for the circumference of the circle is given by :

[tex]C=2\pi r[/tex]

r is the radius of the circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{50.24}{2\times 3.14}\\\\r=8\ units[/tex]

The formula for the area of a circle is given by :

[tex]A=\pi r^2\\\\A=3.14\times 8^2\\A=200.96\ unit^2[/tex]

So, the area of the circle is equal to [tex]200.96\ unit^2[/tex].

Answer:

2/3

Step-by-step explanation:

6/9 in simplest form is 2/3. That's the scale factor :)

Answer:

876889068

Step-by-step explanation:

The person who paints more is given by the inequality equation 3/5 >  4/7

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of canvas be 35 ( LCM of 5 and 7 )

Now , when you divide 35 into 5 sections and paints 3 of them ,

The fraction A = 3/5

And , when your friend divide 35 into 7 sections and paints 4 of them

The fraction B = 4/7

And , the inequality equation is A > B

Substituting the values in the equation , we get

3/5 > 4/7

Hence , the one who paints more is you with 3/5 of the canvas

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Answer:

4

Step-by-step explanation:

24 - 20 = 4

Answer:

43 degrees

Step-by-step explanation:

The two angles are supplementry because they form a 90 degree angle so you would subtract 47 from 90 to get 43 degrees.

Answer: 43

Step-by-step explanation: 47+ 43 = 90.  since x is a vertical angle it is 43.

Answer:

12

Step-by-step explanation:

Let's represent the problem by X / 20 = 0.6, where X is the number we're looking for. Therefore, if we multiply both sides of the equation by 20, we'll get X, which is 12.

Answer:

12

Step-by-step explanation:

12 divided by 20 equals 0.6

Answer: 52

15 + 4 (10 - 2 × 5) + 7

15 + 4×(10 - 10) + 7

15 + 0 + 7

= 22

...sorry i thought it was a decimal between 2 and 5

Answer:

22

Step-by-step explanation:

15+4(10-2×5)+7

15+4(10-10)+7

15+4×0+7

15+0+7

15+7

22

The value of 6 in  618,923 is 1,000,000 or 1 million times greater than that of 6 in 27.652.

Place value of a digit in a number is defined as the value of that digit according to the position where it stands.

Place value of a whole number of digits from right to left can be expressed as ones, tens, hundreds, thousand, etc.

Place value of a decimal number after the decimal point from left to right can be expressed as tenths, hundredths, thousandths, etc.

The given numbers are 618,923 and 27.652.

Place value of 6 in 618,923 = 6 × 100,000

That is 6 hundred thousands is the place value.

Place value of 6 in 27.652 = 6 × 1/10 = 6 × 10⁻¹

This is at the tenth place.

6 × 100,000  = 6 × 10⁻¹ × 1,000,000

So 6 × 100,000  is 1,000,000 times greater than 6 × 10⁻¹.

Hence the value of 6 in 618,923 is 1,000,000 times greater than the 6 in 27.652.

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THE ANSWER IS 7 because i did the math