Determine the period

I hate acellus

Solution

Therefore, we find m < 7

Given data:

The given area of the triangle is A=5.

The first side given is a=4.1.

The second side given is b=2.5.

The expression for the area of triangle is,

Substitute the given values in the above expression.

Thus, the value of the angle is 102.7 degrees.

Triangle WYZ

line YW

then YW is a bisector of, ZX

Answer:

what do you need

Step-by-step explanation:

Let

x ------> the length side of the regular polygon

we have a regular hexagon

that means

the interior angle of this polygon is

180(6-2)/6=120 degrees

A regular hexagon can be divided into 6 congruent equilateral triangles

see the attached figure to better understand the problem

in the right triangle of the figure

we have that

sin(60)=0.75/x

solve for x

x=0.75/sin(60)

Remember that

substitute

Part 2

Find the distance AB

Applying the Pythagorean Theorem

AB^2=1.5^2+x^2

substitute the value of x

AB^2=2.25+(3/4)

AB^2=3

hypotenuse=29

Step 1

a) hypotenuse

to find the hypotenuse we can use the Pythagorean theorem ,it statse that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)

so

so

hypotenuse=29

Step 2

now, sin x

the sin of an angle is the ratio of the opposite side ( the one in front of the angel) to the hypotenuse

hence, replace

Step 3

finally, cos of y

the cos of an angle is the ratio of the adjancent side( the side the makes the angle) to the hypotenuse

so,replace

I hope this helps you

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Congruent angles = ?

Step 02:

We must analyze the diagram to find the solution.

Congruent angles:

∠ Y ≅ ∠ E

The answer is:

∠ Y ≅ ∠ E : are congruent

It's moderate negative association

Answer:

The number that comes first when the numbers are listed from least to greatest is;

And, arranging the numbers from least to greatest will give;

Explanation:

We want to arrange the number given below from least to greatest;

From the list of numbers, let us simplify each of them to their approximate decimal.

From the given number, the highest negative number will be the least number.

Because the higher a negative number the lower it becomes.

The highest negative is -4.5 followed by -3.

So, arranging from the least to the greatest we have;

Rewriting it in its initial form we have;

Therefore, The number that comes first when the numbers are listed from least to greatest is;

And, arranging the numbers from least to greatest will give;

We have three different figures

Semicircle

r = 4cm

Square

l = 8cm+

So, to solve the system:

To solve it, we could substitute the first equation in the second one and then solve for x:

We could solve the previous quadratic by factoring:

To find the values of y, just replace each vaue of x:

Therefore, the solutions of the system are

(x,y) = (-3,-1)

(x,y)=(1,3)

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{2 - 7}{6 - 8} \\ m = \frac{ - 5}{ - 2} \\ m = \frac{5}{2} [/tex]

ATTACHED IS THE SOLUTION WITH THE FORMULA TO CALCULATE THE SLOPE BETWEEN POINTS.

Solution:

If the variation in pressure is P pounds per square inch, then the Loudness L in decibels is;

When L=115 decibels;

But from the logarithmic law, we have;

Thus,

FINAL ANSWER:

Ready

Points A = (-5, -2) C = (7, 2) E = (1, 0)

1.- Find the slope

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

m = (2 + 2) / (7 + 5)

m = 4/ 12

m = 1/3

2.- Find the equation of the line

y - y1 = m(x - x1)

y + 2 = 1/3(x + 5)

y + 2 = 1/3x + 5/3

y = 1/3x + 5/3 - 2

y = 1/3 x + 5/3 - 6/3

This is the equation:

y = 1/3 x - 1/3

my pleausre

SOLUTION

From the limit definition, we have that

Now applying we have

factorizing for h, we have

So, when x = 3, we have

Hence, the answer is 6

The input variable of the function is r, while the output variable is f(r)

The definition of the function is given as

f(r) = πr²

In the above function definition, we have the function to be

f(r)

The definition f(r) implies that

The above is true because, the variable π has its constant value of 22/7

i.e. π= 22/7

While the variable r can change its value

Take for instance:

If r = 7, then we have

f(7) = π x 7²

Evaluate

f(7) = 154

If r = 14, then we have

f(14) = π x 14²

Evaluate

f(14) = 616

See that the value of f(r) changes as r changes

This means that, the stated parameters above are true i.e.

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From the table, we see that:

• Year 0 has a population of 10,

• Year 2 has a population of 20.

So after two years, the population of fish is doubled.

1) By year 4, we will have double the population of year 2, so the population will be 2*20 = 40.

2) To function that describes the growth of the population is:

Where P_0 is the initial population and r is the growth factor.

We know that after two years, the population of fish is doubled:

Using the formula above evaluated in t + 2, we have:

Equalling the last two equations, we have:

Solving for r the last equation, we have:

So the growth factor is r = √2.

Answer:

1. 40

2. √2

The metric system is a system of decimals in which all the measurements are taken as multiples or divisions based on a factor of 10. We have to convert between different units of measurements while working in a pharmacy. Metric system helps to make fast and easy conversions of units of measurements. Therefore, metric system is important to a pharmacy technician.

Given the initial function,

In general, a vertical stretch/compression is expressed by

If k>1, the function gets a vertical stretch; on the other hand, if 0Therefore, in our case,

A vertical shift is given by the following formula

In our case,

Therefore, the answers are B and D.

The value of x is 10.04 using log properties.

The power to which a number must be increased in order to obtain another number is known as a logarithm. The exponential function is thought of as the inverse of the logarithmic function because of their close relationship. The logarithmic function logₐN = x is created from the exponential function [tex]a^{x}[/tex] = N. For instance, since ten raised to the power of two equals 100, the base ten logarithms of 100 is 2: log 100 = 2.

logₐ xy = logₐ x + logₐ y (product property)

logₐ x/y = logₐ x - logₐ y (quotient property)

logₐ [tex]x^{y}[/tex] = ylogₐ x (power property)

log2x = 3

2x = e³

x = e³/2

= 10.04

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Answer: As we know that the formula of outlier is

IQR = Q3 - Q1

= 52 - 32

= 20

52 + 1.5(20) = 82...

so anything above 82 is an outlier

now

32 - 1.5(20) = 2.

..anything below 2 is an outlier

so...the 83 is outlier

so correct option is D

hope it helps

Step-by-step explanation:

The inequality is given

To draw the graph of the inequality which is less than equal to

Answer:

I would say the answer is D.

Step-by-step explanation:

If you solve for x you get  1/4.

In decimal form that is 0.4

To calculate the combinations of groups of 2, since the order doesn't matter, we can use combination. In this case we have a total of 75 to choose from and will choose 2, so this is "75 choose 2".

The equation to use is (n choose k):

In this case, we have n = 75 and k = 2, so:

For the property of factorials, 75! / 73! = 75*74, because the terms less or equal 73 cancel out. so:

So, there are 2775 different groups of 2 in this case.

Another way of doing this calculation is by thinking of choosing one at a time.

At first, we can choose from 75 possible people, so we start at 75.

When we choose the second one, we already picked the first, so there are only 74 people left. So we get:

This are the two first people, but, in this way we are considering too many groups, since here we considere the order matter, to fix this we divide by k!, where k is the number of picks, which is 2 in this case (so, permutation of 2). So:

Calculate the derivative of the function, as shown below

Set y'=0 and solve for x, as shown below

Their corresponding y-coordinates are

Therefore, the two stationary points are (6,36) and (-6,-36).

Using the second derivative test,

Then,

(6,36) is a local minimum and (-6,-36) is a local maximum.

To answer this question we will use the following formulas to compute n arithmetic means between 'a' and 'b':

Substituting n=3, a=-16, and b=4 we get:

Simplifying the above results we get:

Answer: -11, -6, and -1.

The intercepts for a function can be on either of the two axis, y or x.

when finding the intercepts of x, means that y = 0

when finding the intercepts of y, means that x = 0

finding the x intercepts

since the solution for the square root of -1 has not any solution on the real numbers, we can say that there is no intercept over the x axis.

finding the y intercepts

there are 2 intercepts on the y axis, these are at y=1 and y=-1

information can be proven by graphing the function