(8-4) mulitiply (3-2)=

The value of tan(R) in the right triangle PQR where Perpendicular=QP, Base=RQ, Tan R=P/B. The slope of a straight line is the tangent of the angle made by the line with the positive x-axis.

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular symbol,⟂, can be used to graphically represent the condition of perpendicularity. It can be defined between two planes, two lines, or two planes and another line.

The base of a right angle triangle is the side on which it is positioned. The calculation can also be done using any of the two sides other than the hypotenuse as the base. It is the side of the right-angled triangle that is perpendicular to its base.

here,

Perpendicular=QP

Base=RQ

Tan R=P/B

=QP/RQ

Tan R=6/8

The perpendicular QP, base RQ, and tan's (R) values in the right triangle PQR. Tan's (R) = P/B. The tangent of the angle formed by the line with the positive x-axis is what determines a line's slope.

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Answer: x[tex]\leq[/tex]18

To solve this problem, first, let's remember the definitions of even and odd functions.

• A function f is ,even, if the graph of f is ,symmetric about the y-axis,.

• A function f is ,odd, if the graph of f is ,symmetric about the origin.

a) To make the function even, we must complete the graph such the graph result is symmetric about the y-axis (the vertical axis). Doing that we get:

b) To make the function odd, we must complete the graph such the graph result is symmetric about the origin (the horizontal axis). Doing that we get:

The line passes through the points given.

Select any two points from the table, (-4,2) and (-3,5).

The slope is given by:

Hence the slope is:

The slope is 3.

Answer:

The radius = 12 inches.​

Explanation:

Given a sphere with radius, r units:

If the volume of a sphere is 2304π in³, then:

We solve the equation for r:

Next. take cube roots of both sides.

The radius of the sphere is 12 inches.​

GIVEN:

We are given the following trigonometric expression;

Required;

We are required to evaluate and answer both in radians and in degrees.

Step-by-step solution;

We shall begin by using the trig property;

Therefore, we now have;

We now use the table of common values and we'll have;

Therefore;

We can now convert this to degrees;

Substitute for r (radian measure):

Now we can cross multiply;

Therefore,

ANSWER:

Th formula for the area of the triangle is as follows.

where b is the base of the triangle and h is its height.

Substitute the given values into the formula and then simplify.

Therefore, the area of the triangle is 30 square feet, which is option B.

Answer:

Over 98 years, London scored 75.14% per season between 254 and 338 points.

Step-by-step explanation:

Given:

The given numbers are 5,6,7,8,9.

Required:

Find the way so three-digit numbers can be written using digits from the sets 5, 6, 7, 8, 9 without any repeating digits.

Explanation:

Let n is the total number then the way to write m digits number is given by the formula:

So the way to write 3 digits numbers are:

Final Answer:

Option D is the correct answer.

Given data:

Gracie has 5 more than times mary have G=5+a(x).

Nancy has 1 ore than ties mary have N=1+b(x)

Given that G=N

5+ax=1+bx

4=x(b-a)

Step 1: Write out the equation.

Step 2: Divide both sides of the equation by 5Q, we have

this implies that

The triangle formed is shown in the diagram below

The angle of elevation of the sun is represented by x. To determine x, we would apply the tangent trigonometric ratio which is expressed as

Tan# = opposite side/adjacent side

opposite side = 150

adjacent side = 40

Tan x = 150/40 = 3.75

x = Tan^-1(3.75)

x = 75.069

To the nearest degree, the measure of the angle of elevation of the sun is 75 degrees

Accoring to the given figures, the pentagon is the one without parallel sides.

Given:

six pack of water = $6.90

To find:

Unit(one) price of water bottle(Price of one water bottle).

Therefore,

The price of one water bottle is $1.15.

Gordan have left 0 GB to roll over to the next billing cycle at the end of the four weeks.

What is Addition?

The sum of all the numbers are called the Addition of numbers.

Given that;

Gordin has 4.1 GB of data in one 4-week billing cycle on his cell phone.

And, The table shows how much data Gordon uses each week before his next billing cycle as;

WEEK =               1     2    3    4

DATA USAGE = 0.8  1.3  0.9  1.1

Now,

Since, Gordin has 4.1 GB of data in one 4-week billing cycle on his cell phone.

And, The table shows how much data Gordon uses each week before his next billing cycle.

So, We can add all the given data usage in 1 to 4 week as;

Data usage = 0.8 + 1.3 + 0.9 + 1.1

                  = 4.1 GB

Thus, Gordan have left 0 GB to roll over to the next billing cycle at the end of the four weeks.

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Given a quadratic equation in standard form

The discriminant D

tells the types of roots the equation has.

In this case, we have

Then, the discriminant of this quadratic equation will be

Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.

Solution

Given question

11.85 = 2.1n + 4.5

Requirement

To isolate n

Step 1

Using the subtraction property of equality to isolate the variable

11.85 - 4.5 = 2.1n + 4.5 -4.5

7.35 = 2.1n

Step 2

use the division property of equality to isolate the variable

7.35/2.1= 2.1n/2.1

n = 3.5

Answers are 1 first, then 2 next, those are the 2 steps

Beginning inventory = 16,000 Purchase = 115,000 Sales = 140,000 Mark up = 25% on cost Undamanged inventory = 2,000

The value of the inventory lost in fire is 2,000

How do you take inventory loss due to fire into account?

The cost of products available for sale is then subtracted from the cost of goods sold. The quantity will reflect how much inventory the fire has actually destroyed. As an illustration, $275,000 minus $80,000 = $195,000, which represents the amount of inventory destroyed in the fire.

Calculate the quantity of inventory destroyed by deducting the cost of sold goods from the cost of goods that are still in stock. In this scenario, the amount of merchandise lost in the fire was $275,000 less $70,000, or $205,000.

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Brianna, this is the solutiuon:

Part 2: Recalling that the perfect square trinomial has the form:

ax² + bx + c

(x - 1)² = (x - 1) * (x - 1)

x² - x - x + 1

x² - 2x + 1

Thus, b = -2. The correct answer is A.

Part 3: Recalling that the perfect square trinomial has the form:

ax² + bx + c

(x + 25)² = (x + 25) * (x + 25)

x² + 25x + 25x + 625

x² + 50x + 625

Therefore, c = 625. The correct answer is D.

SOLUTION

We want to find the magnitude of the vector (-3, 4)

Magnitude of a vector is given as

Hence the answer is 5 units, the last option

To find the missing numerator si that both fractions are equivalent, you have to multiply both sides of the equal sign by 72:

The missing numerator is 63

The equivalent fractions are:

an equation that represents a vertical shrink by a factor of 1/4 of the graph of g(x)=|x| is y = |x|/4

What is vertical stretch/vertical compression ?

• A vertical stretch is derived if the constant is greater than one while the vertical compression is derived if the constant is between 0 and 1.

• Vertical stretch means that the function is taller as a result of it being stretched while vertical compress is shorter due to it being compressed and is therefore the most appropriate answer.

The y-values are multiplied by a value between 0 and 1, which causes them to travel in the direction of the x-axis. This is known as a vertical shrink and tends to flatten the graph. A point (a,b) on the graph of y=f(x) y = f (x) shifts to a point (a,kb) (a, k b) on the graph of y=kf(x) y = k f (x) in both scenarios.

The function g(x) is defined as |x|.

To vertically shrink the graph of g(x) by a factor of 1/4, divide the function by 4.

g(x) = f(x)/3

f(x) is equal to (|x|)/4.

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Response variable: The response variable is the subject of an experiment.

In this question:

The experiment is about the mathematical reasoning ability of the students whom are members of academic clubs. So, we are focusing on mathematical reasoning ability, which is the response variable.

The answer is option A

This bar graph represents the percentage of the public's trust in the Federal Government from year 1960 to 2015. The public trust was highest in year 1960 at 74% and it was at its lowest in 2015 at 18%.

We will have the following:

[Third option]

Explanation

Step 1

Let the vertices

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed)

then, apply the rule to find the new coordinates

I hope this helps you

We can write a system of equations that describe our problem.

Since we don't know how the original $100,000 was divided, we call the two parts X and Y

So we know that X + Y = 100000

Then we know the Combined Interest coming from the accounts.

We use the Interest formula for return on investment:

I = P * r * t

were P is the principal, r is the percent rate (in decimal form), and t is the number of years (in our case 1)

Then the interest from the 3% account (let's call it I1) (if X amount of money was deposited there) is:

I1 = X * 0.03 * 1 = 0.03 X

Similarly, the interest I2 coming from the 1% account (if Y amount of money was deposited there) is given by:

I2 = Y * 0.01 * 1 = 0.01 Y

Then, the addition of these two interest is our total return of $1800:

0.03 X + 0.01 Y = 1800

Then our system of equations is:

X + Y = 100000

0.03 X + 0.01 Y = 1800

which we solve by substituting for example for Y in the first equation:

Y = 100000 - X

and replacing the Y by this expression in our second equation:

0.03 X + 0.01 (100000 - X) = 1800

use distributive property to eliminate parenthesis:

0.03 X + 1000 - 0.01 X = 1800

combine like terms

0.02 X + 1000 = 1800

subtract 1000 from both sides

0.02 X = 800

divide both sides by 0.02 to completely isolate X:

X = 800 / 0.02

X = $40000

This is the amount deposited on the 3% account

Then we easily calculate the amount deposited in the other account by replacing x with $40000 in the equation we use for substitution:

Y = $100000 - $40000 = $60000

Then, the amount deposited in the 1% account was $60000

and the amount deposited in the 3% account was $40000.

When Hector opens up the refrigerator he finds the next :

He drinks 2/5 of the milk he found, then he drank:

And he left in the bottle of milk:

And after that Kevin open up the refrigerator and finds the next:

Kevin drinks 1/3 of what is left, then he drinks:

And then he left:

And the milk he left in the bottle is: