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4 years ago

Simplify ratio 40:28

Mathematics

1 answer:

xxTIMURxx [149]4 years ago

3 0

$40:28=\dfrac{40}{28}=\dfrac{40:4}{28:4}=\dfrac{10}{7}=10:7$

Answer: 40 : 28 = 10 : 7

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how many ways can 8 members of a family be seated side-by side in a movie theater if the father is seated on the aisle?

LUCKY_DIMON [66]

Ok so there are 7 different options for each of the remaining 7 people to be sat in which means that the answer can be given by 7!=7*6*5*4*3*2*1=5040 different ways

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3 years ago

what is a linear function and a nonlinear fuction and how can you tell if the ordered pairs go to them

vfiekz [6]

9514 1404 393

Answer:

linear: slope between any two points is the same
non-linear: slope between two points may differ

Step-by-step explanation:

A function is a linear function if the slope between any two ordered pairs is the same as it is between any other two. That is, the ordered pairs of a linear function will all fall on the same line when they are graphed.

A nonlinear function is one that is not linear. That is, its points do not all fall on the same line when graphed. Slopes between different pairs of points may differ.

_____

Detailed Example

If you are given two tables to compare, it is easiest if the x-values (inputs) are separated by a constant amount. For example, x = -2, 0, 2, 4. These all differ by 2. Then the y-values (outputs) of a linear function will all differ by the same quantity. For example, outputs 10, 15, 20, 25 for the above inputs would correspond to a linear function. This one is y = 2.5x +15.

If the output values for that same set of inputs do not have constant differences, then the function is nonlinear. For example, outputs 10, 15, 21, 27 have differences of 5, 6, 7, so correspond to a nonlinear function. This one happens to be y = (x^2 +22x +120)/8.

If the input values are not uniformly spaced, then you can check to see if the slope between one pair of points is the same as the slope for the next pair, and so on. The slope formula is ...

m = (y2 -y1)/(x2 -x1)

For our first table, the first pair of points (-2, 10) and (0, 15) are on a line with slope ...

m = (15 -10)/(0 -(-2)) = 5/2

Of course, when the calculations are repetitive, it is convenient to use a spreadsheet or calculator to do them. See the attachment for the calculations for this example.

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3 years ago

The blueprints for a police station show that one of the lamp posts has a motion detector on it, and that the equation (x+14)2+(

Lana71 [14]

Answer: The greatest distance, in feet is the first one 3ft.

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3 years ago

Read 2 more answers

A farmer ordered 3/4 ton of soil. He wants to divide it evenly into 8 flower beds. How much will he have for each bed?

nasty-shy [4]

We know that
Total soil--------> 3/4 ton
divide it by 8
(3/4)/8----> 3/(4*8)----> 3/32 ton----> 0.09375 ton----> multiply by 1000---> 93.75 kg

the answer is
93.75 kg for each bed

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3 years ago

If sin(x) = squareroot 2 over 2 what is cos(x) and tan(x)

Bumek [7]

Answer:

cos(x) = square root 2 over 2; tan(x) = 1

Step-by-step explanation:

$\frac{\sqrt{2} }{2}$

was, before it was rationalized,

$\frac{1}{\sqrt{2} }$

Therefore,

$sin(x)=\frac{1}{\sqrt{2} }$

The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,

$cos(x)=\frac{1}{\sqrt{2} }=\frac{\sqrt{2} }{2}$ and

since tangent is side opposite (1) over side adjacent (1),

tan(x) = 1

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3 years ago