During a home renovation project, Mrs.
Landry is planning to enlarge the pantry
closet in her kitchen. Based on the space she
has she can increase the depth of the closet
by a factor of 3 but cannot change the width.
How much larger will the square footage
(area) of the new renovated pantry be
compared to the original?

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangles is 180°

so

180 = 75 + 50 + x

x = 180 - 75 - 50

x = 55°

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

check

55 + 75 + 50 = 180°

the answer is good

Step-by-step explanation:

The Pythagorean theorem states that a^2+b^2=c^2.

For 51, Here would be the step by step (you would do the same thing for 52, follow the formula)

[tex]6^{2} + 3^{2} =c^{2} \\36+9= c^{2} \\45=c^{2} \\\sqrt{45} =\sqrt{c^{2} } \\c= 6.7[/tex]

For 53 (and 54), c is already provided. Instead of adding, do this (again, follow the formula):

[tex]a^{2} + 3^{2} = 7^{2} \\a^{2} + 9 = 49\\a^{2} + 9 = 49\\a^{2}= 40\\\sqrt{a^{2}} =\sqrt{40} \\a= 6.32[/tex]

I hoped this had helped.

Answer:

im pretty sure its D. use assets

Step-by-step explanation:

hope this helps:)

Answer:

0.4x^3 - xy.

Step-by-step explanation:

2/7x(1.4x^2-3.5y)       Distributing the2/7x over the parentheses:

= 2/7 * 1.4 x^3 - 2/7 *3.5xy

= 0.4x^3 - xy

The expression 2/7x(1.4x² - 3.5y) can be written as the polynomial (4/5)x³ - (10/7)xy.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

To write 2/7x(1.4x² - 3.5y) as a polynomial, we need to first simplify the expression inside the parentheses by distributing the 2/7x:

2/7x(1.4x² - 3.5y) = (2/7x)(1.4x²) - (2/7x)(3.5y)

Next, we can simplify each term by multiplying the coefficients:

2/7x(1.4x² - 3.5y) = (4/5)x³ - (10/7)xy

Thus, 2/7x(1.4x² - 3.5y) can be written as the polynomial (4/5)x³ - (10/7)xy.

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Answer:

Example: If the spinners is divided into 4 than it will be 1/4 or if it is divided into 8 than it will be 1/8 .

Step-by-step explanation:

Step-by-step explanation:

you would have to add the the sides and use context to find out the blank rectangles

Answer:

It is health.

Step-by-step explanation:

It says that "The larger the MAD, the greater variability there is in the data (the data is more spread out)." So History would actually be the most wrong one. Health is the lowest value so Health is correct.

Answer:

Health

Step-by-step explanation:

MAD = median absolute deviation

It measures how spread out a set of data is, and is less affected by extremely high or low values.

The bigger the variance, the more spread out the data points are.

The smaller the variance, the less spread out the data points are.

Therefore, the scores were closest together in Health, since this has the smallest MAD.

Answer:

Simplify the following:

sqrt(-50)

sqrt(-50) = sqrt(-1) sqrt(50) = i sqrt(50):

Answer:  i sqrt(50)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given system

Solve it by substitution

Find the value of x

Find the value of y

Answer:

x = 200

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}x-y=80\\\\\dfrac{3}{5}=\dfrac{y}{x} \end{cases}[/tex]

Rearrange the second equation to make y the subject by multiplying both sides by x:

[tex]\implies \dfrac{3}{5} \cdot x=\dfrac{y}{x} \cdot x[/tex]

[tex]\implies y=\dfrac{3}{5}x[/tex]

Substitute this into the first equation and solve for x:

[tex]\implies x-\left(\dfrac{3}{5}x\right)=80[/tex]

[tex]\implies \dfrac{2}{5}x=80[/tex]

[tex]\implies \dfrac{2}{5}x \cdot 5=80 \cdot 5[/tex]

[tex]\implies 2x=400[/tex]

[tex]\implies \dfrac{2x}{2}=\dfrac{400}{2}[/tex]

[tex]\implies x=200[/tex]

Therefore, the value of x is 200.

If you want to find the value of y, simply substitute the found value of x into the first equation and solve for y:

[tex]\implies 200-y=80[/tex]

[tex]\implies 200-y+y=80+y[/tex]

[tex]\implies 200=y+80[/tex]

[tex]\implies 200-80=y+80-80[/tex]

[tex]\implies 120=y[/tex]

[tex]\implies y=120[/tex]

Answer:D

Step-by-step explanation:

The slope of a line will be 1/6. Then the correct option is D.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

Slope = (y₂ - y₁) / (x₂ - x₁)

The points are given below.

(-6,3) and (12,6)

(x₁, y₁) = (-6,3)

(x₂, y₂) = (12,6)

Then the slope of a line will be

Slope = (6 – 3) / (12 + 6)

Slope = 3 / 18

Slope = 1/6

Then the correct option is D.

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Answer:

[tex]8 \div \frac{1}{2} = 8 \times \frac{2}{1} = 8 \times 2 = 16[/tex]

Answer:

Step-by-step explanation:

Answer:

(x + 2)(x + 8)

Step-by-step explanation:

x² + 10x + 16

consider the factors of the constant term (16) which sum to give the coefficient of the x- term.

the factors are + 2 and + 8 , since

+ 2 × + 8 = + 16 and + 2 + 8 = + 10 , then

x² + 10x + 16 = (x + 2)(x + 8) ← in factored form

Answer:

answer in picture

Step-by-step explanation:

Answer:

x<10

Step-by-step explanation:

I think that's the only one

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Answer:

11.37

Step-by-step explanation:

50 - 38.63 is equal to 11.37

Answer:

11.37

Step-by-step explanation:

If that bill is the total, tax and all, then its a simple subtraction problem.

The lender's good faith estimate is D. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

It should be noted that a lender simply means an individual or an organization that lends people money.

In this case, the lender's good faith estimate is that the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

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Answer:

It's

A: The lender made a very good estimate; it was within 0.25% of the actual closing costs.

Step-by-step explanation:

Radical expression are expressions that contains square root. The value of x from the given radical expression is 3

Given the equation expressed as:

x = 2 + √x - 2

Subtract 2 from both sides

x - 2 = √x - 2

Square both sides

(x-2)^2 = x - 2

x - 2 = 1

x = 1 + 2

x = 3

Hence the value of x from the given radical expression is 3

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Answer:

B x = 3

Step-by-step explanation:

The equation represents the volume of the portable fuel tank in terms of width (w) is w³ + 34w² + 145w - 33488 = 0.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A portable fuel tank used to transport gasoline is in the shape of a rectangular prism.

The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide.

The volume of the tank is 33,488 cubic feet.

Let the width of the rectangular prism be w. Then we have

length = w + 5

height = w + 29

Then the volume is given as

Volume = l × w × h

33488 = (w + 5) (w) (w + 29)

Then we have

[tex]\begin{aligned} \rm w^3 + 5w^2 + 29w^2 + 145w &=33488 \\\\\rm w^3 + 34w^2 + 145w - 33488 &= 0\\\\\rm (w - 23)(2w+57)(2w + 57) &= 0\\\\\rm w &= 23, -28.5, -28.5 \end{aligned}[/tex]

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The coordinate of the given figure is (5,5) (5,-3) and (-1, -3). The coordinates of the circumcenter of the triangle is (2,1).

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We can see the given triangle.

The coordinates of A are (-1,-3).

The coordinates of B are (-1,-3).

The coordinates of C are(5,5).

We know that the circumcenter of a right triangle is the midpoint of the hypotenuse.

Mid-point of hypotenuse AC is given by

[tex]x = x_1 +x_2 / 2\\y = y_1 +y_2 / 2[/tex]

So, x =( -1 + 5)/2 = 2

y =( 5-3)/2 = 1

Hence, the circumcenter of the triangle is (2,1).

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Answer:

7

Step-by-step explanation:

Since, Sophia had three pages of homework and she only has three left you can set up an equation to solve. The equation would be 10=x-3, then you just solve the equation which would be 7, hope that helped.

Answer: B. two solutions

im guessing

Step-by-step explanation:

|x| x≤2

3 x>2

Feel free to ask question if anything's not understandable!

Answer:

42 is the range

Step-by-step explanation:

Subtract the highest number by the lowest.

95 - 53 =42