Match the following reasons to the statements given.Given:ABEF isEBDCProve:ACDF is

right. the lateral area of a hemisfere is the curved area, wich is half the area of a complete sphere

area of a sphere:

4πr²

So, half the area is 1/2(4πr²)= 2πr²

Now, the total surface is the lateral area plus the area of the base. the base is a circle, so the area is equal to πr²

And the volume of a hemisfere is equal to half the volume of a sphere:

So, the anwsers are:

The answers are in order

Let's begin by identifying key information given to us:

Thale's method shows that angles in a triangle opposite two sides of equal length are equal

As such, the answer is A (The distance between points A and Z is the same as the distance between X and Z)

This is a simple question to solve. First, let's take a look at a slope-intercept form equation as follows:

Once we know how a slope-intercept form looks like all we need to do is to simplify our equation to find that as follows:

And that is our slope-intercept form:

Answer:

0, 0.232 , 0.9 , 1.09, 1.2 , 3

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given functions.

STEP 2: Explain the transformation that occurs

What are Vertical Stretches and Shrinks?

While translations move the x and y intercepts of a base graph, stretches and shrinks effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without altering its shape. When a graph is stretched or shrunk vertically, the x -intercepts act as anchors and do not change under the transformation.

This can be explained further as:

For the base function f (x) and a constant k > 0, the function given by:

Hence, the transformation from the graph is a vertical shrinking by 1/3 factor and the equation that represents h in terms of x is given as:

Hello there. To solve this question, we have to remember some properties about the representation of a complex number in the complex or Argand-Gauss plane.

Given the complex plane with the point A representing a complex number:

We have to remember that in the complex plane, a complex number z:

has coordinates

And it is more commonly represented by a vector starting at the origin and with the tip on this point.

In this case, we find that the coordinates of the point A are:

Which means that the complex number is

And this is the answer contained in the last option.

Answer:

7/9.

Step-by-step explanation?

Total number of questions: 3 + 4 + 2 = 9.

Number of Intelligence questions: 4

Number of questions that have an odd number: 5

The probability of a question is Intelligence questions = 4/9

The probability a question has an odd number = 5/9

The probability a question is Intelligence questions and has an odd number = 2/9

The probability a question is Intelligence question OR has an odd number is:

4/9 + 5/9 - 2/9 = 7/9.

To draw a Ray; Draw a line with an arrowhead at one end of the line segmen:

Ray LM:

Statement Problem: Match each equation to an equivalent equation written in slope-intercept form.

Solution:

A slope intercept form equation is written as;

(a)

Add 6 to both sides of the equation;

Divide each term by 2;

(b)

Canada has a coastline if 202,080km and China has 22,147 of borders, so the difference between them can be writen like this:

And we can made this operation so the answer is:

This means that the coastline of canada is 179,933 longer than the border of china

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

Given a quadrilateral ABCD

A cyclic quadrilateral has all its vertices on the circumference of the circle

Also cyclic quadrilateral

has the opposites angles add up to 180°

then

then

Option A

A=90

B=90

C=90

D=90

since A+C= 180

and B+D = 180

measures from Option A could come from a cyclic quadrilateral

Option B

A=80

B=80

C=100

D=100

Since A+C = 80+100 = 180

and B+D = 80 + 100 = 180

measures from Option B could come from a cyclic quadrilateral

Option C

A=70

B=110

C=70

D=110

Since A+C=70+70 = 140

And B+D =110+110=220

measures from Option C could NOT come from a cyclic quadrilateral

Option D

A=60

B=50

C=120

D=130

A+C= 60+120 = 180

B+D= 50+130 = 180

measures from Option D could come from a cyclic quadrilateral

Option E

A=50

B=40

C=120

D=150

A+C=50+120= 170

B+D=40+150 = 190

measures from Option E could NOT come from a cyclic quadrilateral

Then correct options are

Options

A,B and D

Answer:

w = -1

Step-by-step explanation:

Given equation:

[tex]4w + 2 + 0.6w=-3.4w-6[/tex]

Add 3.4w to both sides:

[tex]\implies 4w + 2 + 0.6w+3.4w=-3.4w-6+3.4w[/tex]

[tex]\implies 4w + 2 + 0.6w+3.4w=-6[/tex]

Subtract 2 from both sides:

[tex]\implies 4w + 2 + 0.6w+3.4w-2=-6-2[/tex]

[tex]\implies 4w +0.6w+3.4w=-6-2[/tex]

Combine the terms in w on the left side of the equation and subtract the numbers on the right side of the equation:

[tex]\implies 8w=-8[/tex]

Divide both sides by 8:

[tex]\implies \dfrac{8w}{8}=\dfrac{-8}{8}[/tex]

[tex]\implies w=-1[/tex]

Therefore, the solution to the given equation is:

[tex]\boxed{w=-1}[/tex]

Given that,

→ 4w + 2 + 0.6w = -3.4w - 6

Now the value of w will be,

→ 4w + 2 + 0.6w = -3.4w - 6

→ 4.6w + 2 = -3.4w - 6

→ 4.6w + 3.4w = -6 - 2

→ 8w = -8

→ w = -8/8

→ [ w = -1 ]

Hence, the value of w is -1.

From the image, we have the equation:

3x - 6 = -2x + 4

Let's solve for x:

3x - 6 = -2x + 4

Add 2x to both sides of the equation:

3x - 6 + 2x = -2x + 2x + 4

3x + 2x - 6 = 4

5x - 6 = 4

Add 6 to both sides:

5x - 6 + 6 = 4 + 6

5x = 10

Divide both sides by 5:

ANSWER:

x = 2

It is given that there are two types of milk.

One is 3.5% and one is 0%.

Let the number of cups of 3.5% milk be x and the number of cups of 0% milk used be y.

The total should be 3 cups so it follows:

It is also known that the resulting milk is 2% so it follows:

Multiply by 100 on both sides to get:

Substitute the value of (ii) in (i) to get:

Hence the quantity of 0% milk is 9/7 cups.

The quantity of 3.5% milk is given by:

Hence the quantity of 3.5% milk is 12/7 cups.

The number of boys and girls that are in this class is equal to 28 students and 14 students respectively.

In order to determine the number of boys that are in this class with a total population of 42 students, we would have to multiply the total number of students by the fraction representing only the number of boys as follows:

Number of boys, B = 4/6 × Total number of students

Substituting the given parameters into the formula, we have;

Number of boys, B = 4/6 × 42

Number of boys, B = 4 × 7

Number of boys, B = 28 students.

Similarly, we we would have to multiply the total number of students by the fraction representing only the number of girls as follows:

Number of girls, G = 3/9 × Total number of students

Number of girls, G = 3/9 × 42

Number of girls, G = 1/3 × 42

Number of girls, G = 42/3

Number of girls, G = 14 students.

Read more on fractions here: brainly.com/question/2194108

#SPJ1

Complete Question:

A class has 42 students. It can be determined that 3/9 are boys and 4/6 are girls, how many boys and girls are there in the class?

The answer is actually CORRECT.

The correct procedure is when two negatives multiply each other, the answer is always a positive.

Therefore;

We can conclude that the correct answer is 486

SOLUTION:

Step 1:

In this question, we are given that:

There is sales tax of $9.00 on an item that costs $ 120.00 before tax.

The sales tax on a different item is $ 19.05.

We are meant to find how much the second item cost before tax.

Step 2:

Assuming that there is an equal percentage of tax,

and let the second item cost before tax be y,

then we have that:

Cross-multiply, we have that:

Divide both sides by 9, we have that:

CONCLUSION:

The cost of the second item before tax = $ 254

So the product of (2-x) and (1-x) is equal to x^2 - 3x + 2

Answer: [tex]r(s(5))=-26[/tex]

Step-by-step explanation:

[tex]s(5)=5^2 +2=27\\\\r(s(5))=r(27)=-27+1=-26[/tex]

We will have the following:

a)

b)

Given:

Two vectors (u) and (w) and the angle between them θ

the sketch of the vectors will be as shown in the following figure:

As shown, the resultant vector is the blue line segment

The vector R has a magnitude = 60.22

And the angle between u and R = 5.56°

Step by step explanation:

sum of co-exterior angle is 180°

(10x-48)+(6x)=180°

4x-48=180°

4x=180-48

4x=132

x=132/4

x=33

12x - 9y +12 =0

To find the slope and y intercept, we want to put the equation in slope intercept form

y = mx+b where m is the slope and b is the y intercept

Solve the equation for y

Add 9y to each side

12x - 9y+9y +12 =0+9y

12x+12 = 9y

Divide each side by 9

12x/9 +12/9 = 9y/9

4/3 x + 4/3 = y

Rewriting

y = 4/3x + 4/3

The slope is 4/3 and the y intercept is 4/3

Let's begin by listing out the given information:

Loan (p) = $3,800

Time (t) = 8 months = 8/12 year

Interest rate (r) = 5.5%

a)

We calculate it thus:

b)

The amount paid in total is:

Hello there. To solve this question, we need to remember some properties about quadratic functions and its key features.

Let f(x) = ax² + bx + c, for a not equal to zero.

The main key feature we can see at first glance is the leading coefficient a.

If a < 0, the parabola (the graph of the function) will have its concavity facing down.

If a > 0, the parabola will have its concavity facing up.

It also means the function will have either a maximum or a minimum point on its vertex, respectively.

Another key feature of the function is the y-intercept, i. e. the point in which the x-coordinate is equal to zero, is (0, c).

The x-intercepts of the graph (in plural), are the roots of the function.

If b² - 4ac > 0, we'll have two distinct real roots.

If b² - 4ac = 0, we'll have two equal real roots.

If b² - 4ac < 0, we'll have two conjugate complex roots (not real roots)

This b² - 4ac is the discriminant of the function.

The roots can be found by the formula:

x = (-b +- sqrt(b² - 4ac))/2a

The vertex of the graph can be found on the coordinates (xv, yv), in which xv is calculated by the arithmetic mean of the roots

xv = ((-b + sqrt(b²-4ac))/2a + (-b-sqrt(b²-4ac))/2a)/2 = -b/2a

The yv coordinate can be found by plugging in xv in the function

yv = a(-b/2a)² + b(-b/2a) + c, which will be equal to -(b²-4ac)/4a.

Answer: 13.1

13.1

Rounded to the nearest 0.1 or

the Tenths Place.

Explanation:

13.134

You rounded to the nearest tenths place. The 1 in the tenths place rounds down to 1, or stays the same, because the digit to the right in the hundredths place is 3.

13.1

When the digit to the right is less than 5 we round toward 0.

13.134 was rounded down toward zero to 13.1

Answer:

C 40

Step-by-step explanation:

794 is about 800

18 is about 20

800/20=40

Given a function f(x), whenever you want to evaluate the function, you simply change the variable for the value you where you want to evaluate the function at, and then perform the mathematical operations the function tells you to do.

In our case f(x) = 3x^2 + 2x -9

If we evaluate f(x) at x=7, then

So f(7) = 152.