May I get some help with my practice today? I would like to learn how to graph this equation.

ANSWER:

The value of angle A is 80.61°

STEP-BY-STEP EXPLANATION:

Given:

a=26.61 km,

b= 21.46 km

c= 19.62 km

We can calculate the value of angle A by means of the law of cosines, which is as follows:

We solve for A and then substitute to calculate it, like this:

The value of angle A is 80.61°

Given:

Note: the absolute value of the negative number is the positive of that number

So, we will simplify it as follows:

So, the answer will be -62

Instead of doing what she did, she could have use power properties. Remember you can distribute powers if you have a multiplication, as following:

Thus,

Looking at the image above, we can see that I replicated the ruler all along the length and width. I made it to make it easier to count how many rulers we used to measure the length and the width.

Look that we use 3.5 rulers to measure the length, but if each measure is 200ft, then the length is 200ft multiplied by 3.5, which is

For the width we used 2 rulers, then the width will be 2 multiplied by 200 ft which is

Final answer:

The function that we have to draw is:

y is the total cost. x is the number of bottles of water sold. I attach a picture of the graph. But before that, let's find some points to put in the graph. I will get two points, when x = 0 and when x = 1:

Thus the points will be A = (0,0) and B = (2,3). Then the graph will be:

What is 7 2/3 % more than 50

we have that

7 2/3%=7+2/3=23/3 %-----> Convert to decimal

(23/3)/100=23/300

Multiply by 50

50*(23/300)=23/6 ------> convert to mixed number

23/6=18/3+5/3=6 5/3

the answer is

50+ 6 5/3

$1 ---> 18 inches

$20 ---> x inches of ribbon

answer:

360 inches of ribben for $20

Data:

Wide: 36in

Tall: 24in

The total inches of ribbon Cheryl needs is equal to the perieter of the classroom board.

As a classroom board is rectangular you get the perimeter whit th next formula:

Then, for the given board:

Then, Cheryl

Statements

Figure A is ellipse, Figure B is a circle

1) Is TRUE, furthermore points distance is bigger than in figure B

2) Is FALSE, figures have different curves.

3) Is TRUE. There are points in figure A which distance is equal in fig B

4) Is TRUE. There can be corresponding points

5) Is TRUE . Because they are closed figures, without knots

6) Is TRUE. Both figure have different shape, are not congruent.

For Conditional Statement:

For the conditional of a statement x and y, this means x depends on y. If y occurs, x must also occur.

This conditional statement is represented by:

y -----> x

For its Converse:

A converse of the statement above is just like an opposite or reverse of its conditional statement.

Given the conditional statement above:

y -----> x

The converse will be the opposite as written below :

x----->y

In the graph, you can see that the x coordinate of point G is -1 and that the y coordinate of the point is 0.

Then, the coordinates of the point G are (-1,0).

The answer is this:

But we have to round those numbers to the nearest hundredth (two decimal places), so:

Therefore, the answer is :

a confidence interval for a population proportion is given by:

Some common confidence levels are:

In this case:

You replace those values into the equation, and you can find the confidence interval

Travel insurance

$16 per ticket

Total cost

$752

x = price of the ticket

Equation for the total cost

752 = 4(x+16)

The answer is letter B 752 = 4(x+16)

x + 16 = 752/4

x + 16 = 188

x = 188 -16

x = $172

Explanation

Let the first part of the loan be loaned out be x and the other part be 10000-x.

Therefore, for 9% rate per year, we will have the interest for the first part as

At 19% rate, the interest for the second part becomes;

Therefore, we can say that the sum of the above interest will give 1500

Answer: At 9% the bank loan out 4000

Let

x -----> number of gallons of a 50% antifreeze

we have that

0.50(x)+0.15(90)=0.40(x+90)

Solve for x

0.50x+13.5=0.40x+36

0.50x-0.40x=36-13.5

0.10x=22.5

x=225

therefore

we have the conditional statement

If x= 8, then x^2= 64

Write the converse

This statement is not true

because

-8^2=64 and 8^2=64

therefore

If x^2=64, then the value of x is -8 and 8

a square has all its sides equal.

so the perimeter of the square is= (6y +4) +(6y+4)+(6y+4) +(6y +4) = 24y + 16.

=> this implies that 24y +16 = 184m

solving for y, we have 24y = 184 -16

24y = 168

y = 168/24

y=7m

The area of a triangle (At) is:

Where:

b is the base

h is the height.

Given that:

At = 5.88 cm².

h = 2.1 cm.

Substituting the values in the equation:

To isolate b, multiply both sides by 2:

Answer: The length of the base is 5.6 cm.

Given:

a.) The price of an item has dropped to $63 today.

b.) Yesterday it was $140.

For us to be able to determine the percentage decrease, we will be using the following formula:

We get,

Original Price = $140

Present Price = $63

Therefore, the decrease of the price in percentage is 55%.

Given:

(a)

Use distributive property is:

(b)

Use aasociative property of addition:

(c)

Answer:

Explanation:

Given:

The volume of the quarter sphere sized tank = 226,195

The volume of tank 1 and 2 volume = 81640

Maximum density of killer whales = 0.000011142 whales per cubic ft

To find:

the maximum number of killer waves allowed in the main show tank

The formula for density:

Answer:

A) $5,665

B) $5,834.95

Explanation:

We were given that:

Loan, P = $5,500

Interest Rate, r = 3% = 3/100 = 0.03

Compounding, n = annually = 1

Time, t = ?

The amount owed is obtained using the formula:

A) At the end of one year:

B) At the end of two years:

Between two parallel lines cross by a transversal as given lines you have the given angles as alternate interior angles.

Alternate interior angles are a pair of angles that are in between the parallel lines and on opposite sides of the transversal.

Alternate interior angles are congruent to each other.

Then, the given angles are alternate interior and have the same measure 127º

the surface area of a sphere is

and r=diameter/2

so r= 3.75

and

and the volume of a sphere is

so:

Hello

To solve this question, we can either use a scientific calculator or the traditional method.

For the purpose of this session, i'll use a scientific calculator because it is fast and efficient.

Question 1

No solution

Question 3

No solution

Given the pair of equations:

5x + 2y = -7

15x + 6y = 21

Notice that the second equation can be obtained by mulitiplying the first equation by 3, this makes the pair have no solution.

A pair of equations where one is a multiple of the other has no soution.

Similarly for

6x + 4y = 10

3x + 2y = 5

No solution

When we have expressions where multiplications, divisions, additions and substractions are made, we have an order to solve them: First, we have to solve multiplications and divisions and then we can solve additions and substractions.

The one that has a mistake is #1, because she has:

She should have solved 3*3 first, and then add 11 to the result:

The error is in that she add the 11 to a 3, and then multiplicate the result, what is incorrect.

The other expressions are solved in the right order.

Answer: #1

The Fundamental Theorem of Algebra states that:

In this case, we have the quadratic equation:

Rewriting this equation, we have the polynomial equal to zero:

We have a second-order polynomial, so its degree is m = 2 and the Fundamental Theorem of Algebra states that this polynomial has m = 2 roots.

To verify the statement of the Theorem, we solve for n by completing squares.

1) We write the equation as:

2) Summing 2² on both sides of the equation, we have:

3) We see that both sides can be written as squares:

4) Taking the square root on both sides, we get a positive and a negative values:

5) Finally, solving for n each equation, we get:

We have found two roots n = 6 and n = -2. We see that the number of roots found is equal to the degree of the polynomial. We conclude that the Fundamental Theorem of Algebra is true.

The zeros of the quadratic equation are -2, 6.

Given the statement:

"Six more than b exceeds 2"

-The first part, six more than b can be expressed as a sum, you have to add 6 to the variable "b".

-The word "exceeds" indicates that the previous part of the sentence is greater than the second part, to express this you have to use the symbol ">"

The inequality can be written as:

The next step is to solve the inequality for b, to do so you have to pass "6" to the right side of the inequality by applying the opposite operation to both sides of it:

This expression indicates that the variable "b" can take values greater than -4. Note that the symbol ">" does not include the equal sign, which means that "-4" is not included in the interval of definition for the possible values of "b".

To draw this in the number line, you have to start from -4 and draw the line towards +∞, and, since the initial value is not included, you have to draw a blank dot at the endpoint of the line:

To express the inequality as an interval you have to use round brackets, this way you will indicate that the values at the endpoints are not included:

Diameter = 8in

+1.5

-1.5

Since the diameter can be 1.5 less or more than 8 in:

8-1.5 < x < 8+1.5

6.5

So, the results must be 6.5 and 9.5

lx+1.5 l = 8