Identify the type of polar graph for the equation: r = 3-5cos θ aLimacon with inner loop bCardioid cDimpled limacon dConvex limacon eRose Curve fCircle gLemniscate

Exponent rule is the following:

The lengths of the sides of the Triangle A'B'C' is A'B'=2.25 units , B'C' = 2.75 units , C'A' = 1.25 units .

in the question ;

it is given that

the lengths of the sides of the Triangle ABC is

AB = 9 units

BC = 11 units

CA = 5 units

dilation scale = 1/4

the lengths of the dilated triangle can be found using the formula

(Side length)×(Dilation scale)=Dilated length

So,

A'B' = AB*(1/4)

= 9/4 = 2.25 units

B'C' = BC*(1/4)

= 11/4

= 2.75 units

C'A' = CA*(1/4)

= 5/4

= 1.25 units .

Therefore , the lengths of the sides of the Triangle A'B'C' is A'B'=2.25 units , B'C' = 2.75 units , C'A' = 1.25 units .

The given question is incomplete , the complete question is

Triangle ABC was dilated with the origin as the center of dilation to create triangle A′B′C′. The triangle was dilated using a scale factor of 1/4. The lengths of the sides of triangle ABC are given. Enter the lengths of the sides of triangle A′B'C′ . (Decimal values may be used.)

Learn more about Dilation Scale here

https://brainly.com/question/20725832

#SPJ1

step 1

Find out the circumference of the outer edge

Find out the radius

r=(650/2)+4

r=329 ft

so

step 2

Find out the circumference of the inner edge

r=650/2=325 ft

substitute

Find out the difference

2,066.12-2,041=25.12 ft

therefore

Solution:

Given:

Let the value of the car one year ago be represented by x.

If 20% has been depreciated, then it means the percentage left is;

100 - 20 = 80%

Hence,

Therefore, the value of the car one year ago was $23,750

An example of the required quadratic equation is x(x+1)

What is an equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Solving an equation with variables entails finding which variables' values make the equality true. The variables for which the equation must be solved are also known as unknowns, and the values of the unknowns that fulfill the equality are known as equation solutions. Identity equations and conditional equations are the two types of equations.

An example of the required quadratic equation is x(x+1)

To learn more about an equation, click on the link

https://brainly.com/question/27893282

#SPJ13

The general form of a logarithmic function is:

Where a is the coefficient and b is the base. In the given picture, we can see that the coefficient is equal to 1, while the base is equal to 2.

As per given by the question,

There are given that, 4 green marbles and 1 blue marble contains in a box and pick a marble at randomly.

Now,

Here pick a marble out at random, so first pick a marble for blue;

Then,

Total number of green marbles is 4, and the total number of blue marble is 1, and;

The total numbers of marbles in a bag is, 4+1=5.

So,

For pick the blue marble from 5 marble,

Now,

Now, for pick the green marble from 5 marbles.

Here, total green marble is 4.

So,

Now,

From the question, there are clearly mention that if pick a blue, then stop because you won 20 points.

So,

Probability of the blue marble that won the 20 points.

then,

Now,

There are also mention that, pick a green marbles without replacing and if its blue then win the 10 points,

So,

probability of the blue marbles that won 10 pointss is,

Now,

Here, find the probability that no points for the first green ball is,

Now,

If you played this game 100 time, then the probability is,

now,

For 100 times,

Hence, 125 points can you expect to win.

Solution

Why can the Vertical Angle Theorem NEVER be used to prove two triangles are congruent?

The Vertical angle theorem states that vertical angles are always congruent.

We can't use this to proof congruence between two triangles because this theorem not provide enough evidence to obtain the SSS, ASA, SAS, AAS, HHL. For this reason is not appropiate to use it for this case.

Step-by-step explanation:

what is the problem ?

all you need to do is put every different value of x into the spot of x and calculate the result.

x = -4

y = 3×-4 - 8 = -12 - 8 = -20

x = -2

y = 3×-2 - 8 = -6 - 8 = -14

x = 0

y = 3×0 - 8 = 0 - 8 = -8

x = 2

y = 3×2 - 8 = 6 - 8 = -2

x = 4

y = 3×4 - 8 = 12 - 8 = 4

The edible portion of the potato skins in ounces is = 0.8%

Potatoes are vegetable tubers that can be eaten with the skin when properly cooked.

The number of side dishes of skinless mashed potatoes= 150

Two orders of mashed potatoes = 8 ounce potato.

The potatoes with discarded skin = 90% yield

The potatoe skin= 10% of the 8 ounces

That is;

= 10/100×8

= 80/100 = 0.8 ounce

Therefore, the portion of the potatoes that consists of the skin in ounce is = 0.8 ounce

Learn more about percentage here:

https://brainly.com/question/24304697

#SPJ1

Solution:

The modulus of a complex number;

is denoted by;

Thus, given the complex number;

The modulus is;

ANSWER:

We have the following rule for exponents:

then, in this case we have:

SOLUTION

perimeter of rectangle = 88cm

let the widht be x

now, according to question

lenght = 3x ( as it is triple of width)

formula of rectangle perimeter

88cm = 2* (length + width)

88cm = 2(3x+x)

88cm = 4x (2 will be transported to left )

88/2 cm = 4x

( 2 become in divide as in right it was in multiply)

44 cm = 4x

x= 44/4

x= 11cm

according to question,

width of rectangle = x = 11 cm

Conditional Probability

First, we must complete the totals in the table as follows:

The formula for the conditional probability is:

Where A is an event we know has already occurred, B is an event we want to calculate its probability of occurrence, and P∩A is the probability of both occurring.

We know a female student has been selected, so that is our known event and:

The probability that a female student is also a senior is:

Substituting:

The required probability is 3/16

In order to find the value of f(1.2), we just need to find the value of f(x) in the graph that corresponds to x = 1.2.

Looking at the graph, when x = 1.2, the function f(x) is equal to 2.

Then, to find the largest value of x for which f(x) = 1.5, we look for the value 1.5 in the vertical axis, then find the corresponding value of x.

For this value, we have two possible values of x: 1.2 and 3.6.

So the largest value is x = 3.6

Thus,

80 cubes will have a volume of:

Hence, the volume of the prism is 10 cubic metre

EXPLANATION

The value of the number in the hundreths place is 0.07

Area of the base = 10 x 3 = 30 in^2

Area of the lateral walls = 10 x 2.5 x 2 = 50 in^2

Area of the triangles = 3 x 2 /2 x 2 = 6 in^2

Total area = 30 + 50 + 6

= 86 in^2

To find the median of a set of numbers, the first step is:

1 - Put the numbers in crescent order

This set of numbers is already in crescent order, so we can skip this step

2 - Count how many numbers there are in the set.

In our set we have 8 numbers, so in this case, the median of the set will be the average value between the two central numbers (that is, the fourth and fifth numbers)

The fourth number is 27, and the fifth number is 53, so the median is the average of these two numbers:

So the median of this set of numbers is 40.

Here, we want to get the length of the third side

Mathematically, we can get this by the use of Pythagoras' theorem

It states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

Let the missing side be s

From the diagram, we have the hypotenuse as 25 (the hypotenuse is the longest side and it is the side that faces the right angle

We have this as;

The y intercept is when x = 0.Therefore,

The vertex can be found below

The rational number is -91/100 or -0.91.

Any number of the form p/q, where p and q are integers and q is not equal to 0, is a rational number. The letter q stands for the set of rational numbers.

The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

Given:

We have to find the rational number between -1/3 and -1/2

Tale LCM for 3 and 2 = 6

-1/3 x 2/2 and -1/2 x 3/3

-2/6 and -3/6

Now, multiply 10

-2/6 x 10/10  and -3/6 x 10/10

-20/60 and -30/60.

Hence, the rational number is -21/60.

Learn more about rational number here:

brainly.com/question/1310146

#SPJ1

Solution

For this case we have a total cake representing 1

We also know that 1/3 of the cake was left over so then 1/3

And we want to share to 4 friends so we can do this:

1/3 * 1/4 = 1/12

So then each friend will recieve 1/12

If Jaylen used a 20% discount on a pair of jeans that cost $70 before tax, then the price of the jeans will be $70 - 20%.

Let's calculate the 20% of $70.

So, the discounted price of the jeans before tax is $70 - $14 = $56.

Generally, sales tax is applied to the discounted price, so let's calculate the 6% of $56.

The sales tax is $3.36.

Therefore, the cost of the pair of jeans after tax is $59.36.

SOLUTION

Comparing the graphs and the options, it follows that each line on the graph represents 5 points. This means the person 6 obtained a score of 45, comparing this to the person 3, it means the person 3 obtained a score of 35.

So the answer is 35.

For the rating since person 6 has the highest possible score, which is 45, person 3 score becomes

so we can classify person 3 as very good

The graph of the given equations as;

-2x-y ≥2

The graph of the inequality y ≥-2

The graph of the inequality, x ≥-4

Now, the graph for the set of the system as;

...

To get 1 cup of pf trail mix, we need to mix 2 parts of cashew and 3 part of golden raisin. This means that to make one cup of pf trail mis, we are using 5 parts in total (2 cashew+3 golden raisin). Then, this means that out of one cup the exactly amount of golden raisin is 3/5 of the cups we have. So, having this fraction in mind, we only need to multiply the total number of cups to calculate the parts we are using. In this case, we have 30 cups. So if we want to calculate the parts of golde raisin we multiply 30 by the previous fraction. That is

So to make 30 cups of pf trail mix, jose needs 18 parts.

Let the coordinates of the pre-image which is point A be (x,y)

The point after the translation left 2 units and down 5 units is B(-8, -11)

To get the x coordinate

we were tolt that the point was move 2 units left

So this implies x = -8+2 = -6

To get the y coordinates, we wre told that the point was moved down 5 units

This implies y = -11+ 5 = -6

Therefore, the coordinates of the pre-image point A is (-6, -6)

4. The triangle has 3 given sides but no angles but we can get the angles using cosine law

From largest to smallest it will be

ANSWER

EXPLANATION

The surface area of a cone can be found using the formula:

where l = slant height

r = radius

The diameter of the cone is given, but we can find the radius since the radius is half the diameter:

From the figure, the slant height of the cone is 10 units.

Hence, its surface area is:

The answer is option C.