Find a.Round to the nearest tenth:a10 cm150°12°с=a = [ ? ]cmLaw of Sines: sin A=sin Bbasin cСEnter

Given the equation system:

The first step is to replace the first equation in the second equation

With this, we have a one unknown equation. Now we can calculate the value of x:

Now that we know the value of x, we can determine the value of y, by replacing x=5 in the first equation

This system has only one solution and that is (5,20)

Answer:

The answer would be $641.47 I believe.

Step-by-step explanation:

A graph of the proportional relationship is given by: D. graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30.

A graph can be defined as a type of chart that's commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Mathematically, a proportional relationship can be modeled by the following linear equation:

y = kx

Where:

Furthermore, the graph of any proportional relationship is characterized by a straight line with data points passing through the origin (0, 0) because as the values on the x-coordinate (x-axis) decreases or increases, the values on the y-coordinate (y-axis) decreases or increases simultaneously.

In this context, we can reasonably infer and logically deduce that the relationship between the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of this graph is proportional and given by this equation:

y = 3x

Where:

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Answer:

A graph of the proportional relationship is given by: D. graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30.

Step-by-step explanation:

Given:

it is given that a graph of the function y = 2(x-15)^2 + 3 is translated to the graph of the function y =2(x - 11)^2 + 3

Find:

we have to choose the correct option for the given translation.

Explanation:

we will draw the graphs of both the functions as following

The graph of the function y = 2(x - 15)^2 + 3 is represented by red colour and the graph of the translated function y = 2(x - 11)^2 + 3 is represented by blue colour in the above graph.

From, the graphs of both functions, it is concluded that the graph of the translated function is shifted 4 units to the left.

Solution:

Given the function:

whose graph is shown below:

Suppose that the parent function is expressed as

This implies that the parent function is transformed by a horizontal shift to the left by four spaces.

The correct option is

Answer:

if the bottom side is 4n + 15, then n=8

n times 5 is 40

40+7=47

Let the first number = n

So second number = n+2

the product of number is 728.

That mean:

Solve the equation:

For positive number is n=26.

scond number is:

So smaller number is 26.

Firs we need to calculate the area of a triangle

b= base

h=heigth

in our case

b=8ft

h=12ft

then we will calculate the total cost

1 square foot ----- $2

48 square feet ----- x

the total cost is 48*2=96

total cost is $96

In order to find the middle number between them we can simply add them together and divide the result by 2 as follows:

Answer:

11/24

Answer:

Final Price = $24.5

Explanation:

To found the final price, we first need to find 30% of $35 as follows:

So, there will be a discount of $10.5

Then, the final price will be the original price less the 30% of $35, so the final price will be equal to:

Final Price = Original Price - Discount

Final Price = $35 - $10.5

Final Price = $24.5

So, the answer is $24.5

Given,

If the function rule is to add 6, and an output value is 6.

To find: What is the input value?

Solution:

When we add 0 to any number, we got the same number.

So adding 0 with 6 we get the same number 6.

Thus, the answer 0 is the correct option.

Answer:

x = 5

m∠QRT = 44

Step-by-step explanation:

8x + 4 = 10x - 6

-10x       -10x

------------------------

-2x + 4 = -6

      -4      -4

---------------------

-2x = -10

÷-2    ÷-2

--------------------

x = 5

m∠QRT

8x + 4

8(5) + 4

40 + 4 = 44

I hope this helps!

From the image, [tex](8x + 4 )° = (10x - 6)°[/tex]

Reason: Vertically opposite angles are equal.

Now, we solve for x

[tex]8x + 4 = 10x - 6[/tex]

collect like terms

[tex] 4 + 6 = 10x - 8x[/tex]

[tex]→ 10 = 2x[/tex]

Divide both sides by the coefficient of x to find the value of x

[tex] x = 5[/tex]

Now, substitute for the value of x in the expression for m∠QRT to find the degree

[tex](8x + 4 )° → (8(5) + 4)°[/tex]

Therefore: m∠QRT = 44°

The equation can be solved as,

Therefore, the value of y is 9.

Solution:

Using the formula;

Thus;

ANSWER: $33

Let's analyze each case and see if they are less than 8 first:

thus

Finally,

thus

In sumary, the first two options are less than 8, but not the third.

Now let's see if they are greater than 6

and

thus

Now

and so

Finally

thus

In conclussion, the second and third options are greater than 6, but not the first.

Notice that since the residuals are varying from -1 to 1 without a pattern, we have that the line is not a good fit for the data.

Also, some residuals (for 0, 2, 4 and 6) are relatively large compared to the actual data values.

First, let's express the proportion as an equation, where the blank space is the variable x.

To find the value of x, we multiply both sides by 35.

Let's begin by listing out the given information:

18 students passed

Total students = 25

Number of people who did not pass = 25 - 18 = 7

7 out of 25 students did not pass. This has its percentage as:

Therefore, 28% of the students did not pass

Note : The use of comma as number separator represent point in this solution

Step 1: Let the number be x, thus, 2/7 parts of the number means

Step 2: Subtract 0,4 from 2/7 parts of x

Step 3: Equate the expression above to 3/5

Step 4: Simplify the equation above

Hence, the number is 3,5

Option C is correct

Given the figure of a sphere

The radius = r = 7

We need to find the volume of the sphere

The volume =

Rounding the answer to the nearest hundredth

So, the volume = 1436.03

The rate at which the distance between the airplanes is changing is  668.2 mi/h.

In the given question,

Speed of Airplane A:

dA/dt = 451 mi/h

and the Speed of Airplane B:

dB/dt = 494 mi/h

Aircraft A and B will form a right triangle because Aircraft A is flying east and Aircraft B is flying north, and we can use Pythagoras' theorem to calculate their distance from one another.

Let P be the distance.

P² = A² + B²

Differentiating the above equation with respect to t,

2P(dP/dt) = 2A(dA/dt) + 2B(dB/dt)

Dividing each side of the equation by 2,

P( dP/dt ) = A( dA/dt ) + B( dB/dt )                  ..........(1)

Where dP/dt is the rate of change in distance between the two aircraft.

Now,

P² = A² + B²

P = √(A² + B²)

Substituting, A = 3 miles and B = 3miles;

P = √(3² + 3²)

P = √( 9+ 9)

P = √18

P = 3√2 miles

Substituting the value in the equation (i)

3√2 (dP/dt) = (3× 451) + (3× 494)

3√2 (dP/dt) = 2835

4.2426 × dP/dt = 2835

dP/dt = 2835/4.2426

dP/dt = 668.2 mi/h

Therefore, the rate at which the distance between the airplanes is changing is  668.2 mi/h

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The value of Q(5) is zero and represents the zero profit on selling 5 bracelets thus option (B) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given,

Daily profit function Q(x) = 7.25x − 36.25 where x is the number of bracelets he sells.

At x = 5 ( selling 5 bracelets)

Q(5) = 7.25(5) - 36.25

Q(5) = 36.25 - 36.25 = 0

It means selling 5 bracelets doesn't give any profit.

Hence "The value of Q(5) is zero and represents the zero profit on selling 5 bracelets".

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Given:-

Matt and Amy each had summer jobs. Matt worked at a restaurant as a bus boy. He earned $10 per hour, plus tips. Amy worked as a dog-groomer. She earned $8 per hour, plus tips.

To find:-

An equation to represent their total earnings in each situation.

Answer

Option D is correct.

The dog looked at the cat with caution.

is the same as

The dog looked at the cat warily.

Explanation

The word warily means 'using caution' or 'cautiously'.

Hope this Helps!!!

Explanation

Part A

Given that one South African rand was worth 0.15 U.S. dollars. 44.11 dollars will be worth

Answer: 294.07 rands

Part B

On that date, how many dollars was 168.18 rand worth?

Answer: 25.23 dollars

Calculating the value of 2 over 5 in percentage, we have:

So the correct option is E.

Starting with the expression:

Substract the numbers to find the value of y:

Answer:

if y = 75-29 the we subtract 29 from 15

75-29=46

y=46

Answer:

The sum to infinity of the given series is;

Explanation:

From the given series, we can see that the series is a Geometric Progression (GP) because it has a common ratio;

The formula to calculate the sum to infinity of a GP is;

a = first term = 16

r = common ratio = 0.25.

substituting we have;

Therefore, the sum to infinity of the given series is;

The weight of pacific halibut is 459 pounds and weight of yellowfin tuna is 387 pounds.

There is 72 pounds more is the total weight of pacific halibut than the yellowfin tuna.