A side of the triangle below has been extended to form an exterior angle of 133º. Find the value of x. 133° 21° xo

-(p ∧ q ) is logically equivalent to

-pv-q

The thing that the change that takes place in Ulrich and Georg suggested that the authors theme may be A. Wild anger can lead to wild deaths.

The Interlopers is a story about two men who met in a forest and we're fighting over a land. They were trapped under a tree. In the end, they wee killed by a wolf.

It should be noted that the theme was illustrated in the story. This was that anger can bring about death. This was depicted ad Georg and rich fired due o their anger.

In conclusion, the correct option is A.

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Let's make a diagram to represent the situation

The tower angle is found by using the interior angles theorem

It is important to know that the given directions are about the North axis, that's why we have to draw a line showing North to then find the interior angles on the base of the triangle formed.

To find the distance between the fire and Station B, we have to use the law of sines.

Then, we solve for x

We have to find the value of z and x.

We assume that lines g and h are parallel.

Then, z and the angle with measure 85° are consecutive interior angles.

As they are conscutive interior angles, their measures add 180°.

Then, we can write:

Then, we can relate the angle with measure z with the angle with measure (6x-109). They are vertical angles and, therefore, they have the same measure.

Then, we can write:

Answer: z = 95 and x = 34.

Answer:

Step-by-step explanation:

Given a function f(x), a new function g(x) = cf(x), where c is a constant, is a vertical stretch of f(x) when c > 1.

In our case the function f(x) is stretched by a factor of 3.

It means c = 3 and therefore:

Correct choice is B

Answer:

Step-by-step explanation:

8 grams of 30% --> 2.4 grams of AS For 2.4 grams to be 40% --> 6 grams of solution Evaporate 2 grams of water

2) If DB = 27 the we can replace that:

and we can solve for x

now we can replace x in the equation for AC:

3) we have that:

So the segment AC will be the sum of the segments:

and we also know that

3) we have that:

Answer: Total perimeter = 9, 962.01 feet

The figure is a composite structure

It contains a rectangle and triangle

The perimeter of a rectangle is given as

Perimeter = 2( length + width)

length of the rectangle = 1500ft

Width of the rectangle = 1390 ft

Perimeter = 2( 1500 + 1390)

Perimeter = 2(2890)

Perimeter = 5780 ft

To calculate the perimeter of a triangle

The total perimeter of the field = Perimeter of the rectangle + perimeter of the right triangle

Total perimeter = 5780 + 4182.01

Total perimeter = 9, 962.01 feet

Step 1: Definition

Arranging people, digits, numbers, alphabets, letters, and colors are examples of permutations. Selection of menu, food, clothes, subjects, the team are examples of combinations.

Step 2:

How many possible ways can a group of 10 runners finish first, second and third?

PERMUTATION because it involved arrangement

Step 3:

How many ways can 2 females and 1 male be selected for a conference from a larger group of 5 females and males?

NOT PERMUTATION because it involved selection, hence it is a combination.

Step 4:

How many 3 letter arrangements of the word OLDWAYS are there?

PERMUTATION because it involved arrangement

Step 5:

How many 5-card hands from a standard deck of cards would result in all spades?

NOT PERMUTATION because it involved selection, hence it is a combination.

Answer:

320×10³

Step-by-step explanation:

This is the standard form for the number 320000

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The most important reason for random assignment on the subjects in the experiment, is because random assignment would be the best way in creating group of subjects to the different treatments.

Note that; the group of subjects are roughly equivalent at the beginning of the experiment.

Using random assignment will allow the allocation of different patients to various treatments at a random order. From this there will be objective results obtained altogether from the experiment under investigation.

Random assignment will eliminate any biasness that may occur when conducting the experiment. It prevents favoritism of any event from occurring. It will ensure that all the different patients have an equal chance of being selected for various treatment.

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Solution:

Given the shape of a hexagon;

The perimeter, P, of a hexagon is;

Given;

CORRECT OPTION: B

1) In this expression, we have already a factored form. So the factor in this expression is 9(y³+9) Because multiplying "distributing it" we'll have the whole expression

6z^4 -4+9(y³+9)

6z^4 -4 +9y³+81

2) 9(y³+9)

Answer: -19

Step-by-step explanation:

I think I am correct I am sorry if not.

Here is how I got it-

m = 21 / 7 = 3 / 1 = 3

Equation: y = 3x - 22

Answer:

y = -19

Step-by-step explanation:

We are given two points: (1, y) and (8,2).

We want to find the value of y if the slope of the line is 3.

The slope (m) can be calculated from two points using the formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We can label the values of the points to avoid any confusion and mistakes.

[tex]x_1 = 1\\y_1=y \\x_2=8\\y_2=2[/tex]

Substitute these values into the formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{2-y}{8-1}[/tex]

Remember that the slope of the line is 3, so we can substitute m as 3.

Replace m as 3.

[tex]3 = \frac{2-y}{8-1}[/tex]

Subtract.

[tex]3 = \frac{2-y}{7}[/tex]

Multiply both sides by 7.

[tex]3 * 7 = 7(\frac{2-y}{7})[/tex]

21 = 2-y

Subtract 2 from both sides.

19 = -y

Divide both sides by -1.

-19 = y

y = - 19.

Given the cost of removing p percent of pollutant from a river is Smith County in dollars as

To find the cost of removing the pollutant for a particular percentage, we will substitute the value of the pollutant in the cost formula above.

Thus, for p equal to 20%

Hence, the cost of removing 20% of the pollutant is $17,750

The cost of removing half of the pollutants is equivalent to the cost of removing 50%, thus, p in percentage is 50%

Hence, the cost of removing half of the pollutants is $71,000

The cost of removing all but 5% of the pollutant is equivalent to the cost of removing 95% of the pollutants. Hence, p is 95

Hence, the cost of removing all but 5% of the pollutants is $1,349,000

A = (-3, 1) and B = (4,7)

Now, for b, using point B

So,

The line:

Is a good fit of the data given.

To predict the number of bachelor's degrees in Mississippi, we replace x by 40.6 and operate:

The number of bachelor's degrees per 1000 people when x=40.6 median income, is predicted as 228.778.

Hello! Let's solve this exercise:

We have some ways to show it, look:

So, as it can be written as a fraction, is a rational number.

if he receives 56 cents for each period it means that the multiplication must give the total paid

where P is the number of newspapers

then, solve for p

he delivered 302 newspapers

Notice that f(x) is

translated π/6 to the left.

Now, recall that the period of the cotangent is

Since f(x) is just a translation, both functions have the same period.

Answer:

a)

Every 63 years, the amount of titanium halves.

441 years later means how many halving?

441/63 = 7 halving

We start off with 1000 and do 7 halving to get the amount of Titanium-44 after 441 years.

after 441 years, the amount of titanium remaining would be 7.8125 kg

b)

Let's find the point where the remaining titanium would be 1 kg.

That would be:

t is the time we are looking for. We can solve this using Ln(natural log):

There is basically 9.965 halving. That would make the years approximately:

9.965 * 63 (half life) = 627.795 years (approx)

Answer:

Step-by-step explanation:

The reason behind the big candy makers producing candy that is less expensive per price is that the cost that they have to bear for production will be less in comparison to small candy makers.

bc a lot of people buy their products, so they have enough money to make a profit even if they sell it at a lower cost.

Solution

Answer :

3/13

Explanation :

The probablity of an event = favourable outcome / total outcomes

Now in our case,

favorable outcome = 60

Total number of outcomes = 5 + 70 + 5 + 85 + 60 + 15 + 3 + 17 = 260

Therefore,

probablity = 60 / 260

= 3 /13

Elimination Method : In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

The given system of equation :

x - y = 5 ( 1 )

- x - y = - 11 ( 2 )

Add the equation ( 1 ) & ( 2 )

x - y + ( -x - y ) = 5 + ( -11 )

x - y -x - y = 5 - 11

x - x - y - y = -6

0 - 2y = - 6

y = -6/( -2)

y = 3

Substitute the value of y = 3 in the equation ( 1)

x - y = 5

x - 3 = 5

x = 5 + 3

x = 8

Answer : x = 8, y = 3

initial point = (10,2)

Terminal point = (-8,-7)

subtract the coordinates of the initial point from the coordinates of the terminal point

Position vector = ( -8-10 , -7-2 ) = <-18,-9>

Answer;

Explanation;

Given that;

Hence;

According to trigonometry identity;

Evaluate the result by finding the LCM

Rationalize;

Hence the required reusult is;

• We will determine the domain, range and x ;y intercept then plot the graph

1. The domain is given by :

2. Range is given by :

3. x - and y -intercept :

4. asymptote :

Answer:

(2,0)  and (-2,0)

Step-by-step explanation:

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Answer: (-4,-4) (6,-4)

Step-by-step explanation:

I took the test and it said these were the corrects answers.