To get to his parents' house, Dylan would have to drive due north 8 miles. To get to his
grandparents' house, he would have to drive due east 5 miles. What is the straight-line
distance between the parents' and grandparents' houses? If necessary, round to the nearest
tenth.

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.

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Given:

Lacy work 15 hours last week and she was paid $127.50.

To find:

The hourly pay of Lacy.

Solution:

We have,

15 hours pay = $127.50

To find the hourly pay of Lacy, we need to divide total pay by number of hours.

[tex]\text{Hourly pay}=\dfrac{\text{Total pay}}{\text{Number of hours}}[/tex]

[tex]\text{Hourly pay}=\dfrac{127.50}{15}[/tex]

[tex]\text{Hourly pay}=8.5[/tex]

Therefore, the hourly pay of Lacy is $8.50.

Answer:

12.56 yards

Area of Triangle: [tex]\pi r^2[/tex]

So, [tex]\pi[/tex][tex]2^2[/tex]

Finally, 3.14*4 = 12.56

Step-by-step explanation:

Answer: Thirty-eight thousand two hundred.

Step-by-step explanation: You'd get Thirty-eight thousand two hundred because the standard form is writing out the number using letters. So, we should break this down:

38,000 + 200 is a good strategy to divide big numbers.

So, 38,000 = Thirty-eight thousand

And 200 = two hundred

So, combine it and you get Thirty-eight thousand two hundred or Thirty-eight thousand and two hundred. (it's the same thing)

Answer:

from B-A is adjacent

because of the 90 degree

Answer:

11.2

Step-by-step explanation:

First, you get the volume of the right prism by multiplying the length times the width times the height, which is 2.5 cubed. Then we subtract the volume of the cylindrical hole. We do this by doing pi times the radius squared times the height, which is pi times 0.75 squared times the height. This will yield 11.2 cubic millimeters.

The equation that relates x and y for the given data is y = (3/4)x.

The relationship between the number of shutters (x) and the number of hours (y) is an inverse variation because as the number of shutters increases, the number of hours required to paint them decreases and vice versa.

An inverse variation is a relationship between two variables in which their product is always equal to a constant value. Mathematically, it can be represented by the equation: y = k/x where k is a constant and x and y are the variables in question.

Hence, the equation that relates x and y can be found using the information given:

y = (9 hours) / (12 shutters) * x shutters

y = (3/4)x is the required equation.

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The measure of the angle of the shaded sector with an area of 65 cm² is 74.5°

An equation is used to show the relationship between numbers and variables.

The area of a two dimensional shape is the amount of space it occupies.

The area of a sector in a circle is given by:

Area = (Ф/360) * π * radius²

Where Ф is the sector angle

Given that sector area is 65 cm², radius is 10 cm, hence:

Area = (Ф/360) * π * radius²

Substituting gives:

65 = (Ф/360) * π * 10²

Ф = 74.5°

The measure of the angle is 74.5°

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Answer: I think it's 6816606.576

Step-by-step explanation: Hope this helps?

the answer is x>3

this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers

Answer:

[tex] = \sqrt{ {40}^{2} + {9}^{2} } \\ = \sqrt{1681} \\ = 41 \: mi[/tex]

Answer:

r= 7.09 cm (3s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: cyinder = \pi {r}^{2}h }[/tex]

Given: h= 5cm, volume= 80cm³

πr²(5)= 80

Divide both sides by 5π:

[tex] {r}^{2} = \frac{80}{5\pi} [/tex]

Simplify:

[tex] {r}^{2} = 16\pi[/tex]

Square root both sides:

[tex]r = \sqrt{16\pi} [/tex]

r= 7.09 cm (3s.f.)

Answer:

Nelly should take out the pies after 64 mins or an hour and four minutes.

Step-by-step explanation:

Answer:

The two answers would be 0 and ln (7)

Step-by-step explanation:

Hope it helps:)

Answer:

810000

Step-by-step explanation:

If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered. 12x2 + x + 20 is the same as the given expression.

6/10, 9/15, 12/20, etc. are fractions that are identical to 3/5. The value of equivalent fractions remains unchanged when lowered. Explanation: The numerator and denominator of equivalent fractions can be written by multiplying or dividing them both by the same value.

The given quadratic expression 12x^2+x-20

now, 12x^2 + 16x - 15x - 20

4x (3x+4) - 5(3x+4)

(4x-5) (3x+4)

the root of the equation is (4x-5) (3x+4)

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Answer:

the city at a lower altitude would have a colder climate

Answer:

12

Step-by-step explanation:

Answer:12

feet

Step-by-step explanation:

Answer:

1

hope this helped

Step-by-step explanation:

Answer:

so 1.5 ÷1.5= 1

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer: x=9

Step-by-step explanation:

Here the given angles are,

50,80,6x-4

The sum of the angles of a triangle is 180 degrees and hence

50+80+6x-4=180

130+6x-4=180

126+6x=180

6x=180-126

6x=54

x=54/6

x=9

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Answer:

x=20 degrees

Step-by-step explanation:

So, lets recall some things.

First off, opposite angles are the same.

So this would make x equal 20.

But lets test this.

When you look at a X, or any other sort of two lines that cross each other, can you ever think of a time when one side is not the same as the other? No.

This is because when you change one angle, since the lines are crossed together, it will change the opposite angle. This change will always be constant as long as the two lines connect at the same point

So if you changed a 10 degree angle of two lines, so that it was 30, this would change for the other line.

I attached a image below.

I hope this explains this to you and helps! :D

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

Respuesta:

x = 20 grados

Explicación paso a paso:

Entonces, recordemos algunas cosas.

En primer lugar, los ángulos opuestos son iguales.

Entonces esto haría que x sea igual a 20.

Pero probemos esto.

Cuando miras una X, o cualquier otro tipo de dos líneas que se cruzan, ¿puedes pensar alguna vez en un momento en el que un lado no sea igual que el otro? No.

Esto se debe a que cuando cambia un ángulo, dado que las líneas se cruzan, cambiará el ángulo opuesto. Este cambio siempre será constante siempre que las dos líneas se conecten en el mismo punto

Entonces, si cambia un ángulo de 10 grados de dos líneas, de modo que sea 30, esto cambiaría para la otra línea.

Adjunto una imagen a continuación.

¡Espero que esto te explique esto y te ayude! :D

Answer:

2x^2 + 5x - 8

Step-by-step explanation:

   6x^2 + 3x - 5

- (4x^2 - 2x + 3)

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

2x^2 + 5x - 8

An equation for the function g(x) when g(x) = f(-x) is g(x) = -x/3 - 6, which is shown in the graph attached below.

In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.

In Geometry, a reflection across the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By reflecting the given function across the across the y-axis (y = x), we have the following:

f(x) = x/3 - 6

g(x) = f(-x)

g(x) = -x/3 - 6.

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The function that describes the depth of the soil is h(x) = -(1/2)x + 8.

Where x is the number of bags of soil.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Depth of the soil = 8 inches

One bag of soil increases by 1/2 of an inch.

Now,

The function denotes the depth of the soil.

h(x) = -(1/2)x + 8

Where x is the number of bags of soil

Thus,

The function is h(x) = -(1/2)x + 8.

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Answer:

x = 90

Step-by-step explanation:

The diagram shows that angles 1 and 4 correspond with each other. Given that the two lines should be parallel, corresponding angles have the same answer. When corresponding angles cross at the same relative location (known as the junction), they will have the same angle measure.

So, set the 1st and 4th angles equal to each other.

3x-160 = x+20

2x = 180

x=90

Answer:x=90

Step-by-step explanation:Angles 1 and 4 must be equal to each other, as they are corresponding angles, so you set 3x-160 equal to x+20 and after solving, you get x is equal to 90.

The similar photo should be 4.5 inches wide.

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor. It also tells by how many times is {y} greater than {x}.

Given is that Gwen scans a photo that is 4 inches wide by 6 inches long into her computer. Now, she scales the length down to 3 inches.

We can write -

y₁/x₁ = y₂/x₂

6/4 = 3/x₂

x₂ = 6 x 3/4

x₂ = 6 x 0.75

x₂ = 4.5

Therefore, the similar photo should be 4.5 inches wide.

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Answer:

B

Step-by-step explanation:

Given

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] + [tex]\frac{1}{z}[/tex] = 0 , then

[tex]\frac{yz+zx+xy}{xyz}[/tex] = 0 , so

yz + zx + xy = 0

Now

(x + y + z)² = x² + y² + z² + 2(xy + yz + zx) , that is

1² = x² + y² + z² + 2(0) , thus

x² + y² + z² = 1