A circle has a radius of 9 cm and a sector of the circle has an arc length of 9.7 cm. The angle at the centre of the sector is xº. Calculate the value of x to the nearest degree. 9 cm X 3 9.7 cm
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Answer:

Step-by-step explanation:

Equation for this case is:

⇒ y = 6(x - 1) + 10     as Rs. 10 for the first km and Rs. 6 for the rest (x - 1) km

⇒ y = 6x - 6 + 10      simplifying

⇒ y = 6x + 4             final equation

For x = 15 km we have total of:

Answer:

420

Step-by-step explanation:

funny real funny

Given

-y+9x=0

Find

check if equation model direct variation

Explanation

Equations with direct variation has a general form of y=kx

Given Equation

-y+9x=0

y=9x

whick is in the form of y=kx

Hence this equation is in direct variation with k=9

Final Answer

This equation is in direct variation with k=9

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

The evaluated probability that 2 will find an excuse is 12.8%, under the condition that 35% of those failed will evaluate an excuse to avoid jury duty.

According to the data I found, about 23% of those evaluated to find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty.
In the event 10 people are called for jury duty, then the evaluated probability that 2 will find an excuse can be found out using the binomial probability distribution formula.
The formula is:
\(P(X=k) = C(n,k) * p{^k }* (1-p)^{(n-k)}\)

Here,
P(X=k) = successes  probability of k in n trials
C(n,k) =  combinations of number in n things taken k at a time
p=  success probability of any one trial
n = trial number
For the given case
k = 2
n = 10
p = 0.23
Staging these values into the formula
\(P(X=2) = C(10,2) * 0.23^{2}* (1-0.23)^{(10-2)}\)
       = 45 × 0.0529 × 0.5225
       = 0.128

Hence, the probability that exactly 2 out of 10 people will evaluate an excuse to avoid jury duty is 0.128 or approximately 12.8%.
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2:5 = 2/5

2/5 x 150

2 x 30= 60km

Answer:

50

Step-by-step explanation:

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Answer:

30

Step-by-step explanation:

Answer:

About -4.286

Step-by-step explanation:

First, let's set up the equation.

(24 + 6)/(3 - 2 [4 + 1])

Now, let us do the parenthesis first. (4 + 1). While we are at it, we can also do 24 + 6.

30/(3 - 2[5)]

Now, -2(5)

30/3 - 10

Let us do 3 - 10

30/-7

Lastly, 30/-7, which unfortunately, is a non-terminating decimal, which is about:

-4.286, rounded to the nearest thousandth.

Hope this helps!

Answer:

x = -1

Step-by-step explanation:

To solve this, we want to isolate x:

9 - 15x = 28 + 4x

Subtract 9 from both sides:

-15x = 19 + 4x

Subtract 4x from both sides:

-19x = 19

Divide both sides by -19:

x = -1

By using trigonometric relations, we can see that the hypotenuse of the right triangle measures 30.8 units.

Here we will need to use trigonometric relations. We want to find the value of x, which is the hypotenuse of the right triangle.

We know the measure of one angle, and the adjacent cathetus to said angle, the measures are:

angle = 65°

Cathetus = 13 units.

Now we can sue the trigonometric relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing what we know, we can rewrite that as:

cos(65°) = 13/x

Now we just need to solve the equation for x, we will get:

x = 13/cos(65°) = 30.8 units.

We conclude that the hypotenuse of the right triangle measures 30.8 units.

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The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

If the six teams of a baseball league , and each team plays seven games with each other , then the number of games to be played is 105  .

in the question ,

it is given that

the number of teams in the baseball league = 6

number of matches that each team plays with each other = 7 .

Number of ways two teams can be selected out of 6 teams = C(6,2)

and they need to play 7 games with each other ,

so the number of games required to complete the schedule is

= 7 × C(6,2)

= 7 × 15

= 105

Therefore , the number of matches that is needed to complete the schedule is 105 .

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Answer:

The answer should be like this;

a) A-B

b) BUC

c) C-A

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

The number of possible outcomes that can be illustrated in tree diagram is 9.

A new management planning tool called a tree diagram shows the hierarchy of activities and subtasks required to accomplish a target. A single item that branches into two or more, each of which branches into two or more, and so on, is the starting point of the tree diagram.

A tree diagram is a type of chart that starts with one main thing, branches out into others, and keeps spreading out until the main item's line of inquiry has been thoroughly explored. The tree diagram's branching steps encourage you to make a methodical transition from the broad to the specific.

As according to given data you can travel to New York San Francisco, or Miami during June July or August.

According to given information the calculation is as follows:

From NewYork = 3

From San Francisco = 3

From Miami = 3

Total = 9

Therefore, number of possible outcomes is 9.

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Answer

3y(5x+1)

Step-by-step explanation:

9*(5x+1)/3y

3(5x+1)y

Answer:

Step-by-step explanation:

sum: 5x + 1

factor: 3 which divides into 9 evenly

quotient: the answer to division: 9(5x + 1)/(3y) = 3(5x +1)/y

coefficent: this depends on what you have been told. In my day, there were two kinds of coefficents

numerical: 5 and 3

literal: x and y

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer:

4x + 10

Step-by-step explanation:

-1+3=2

2 . 2x = 4x

2 . 5 = 10

Answer:

14

Step-by-step explanation:

its going down by 11

The  domain and range that represent the inverse of the function f(x) is

6 → 9 , 7 → 10,  8 → 11, 9 → 12

The missing image is attached.

A function is an algebraic expression that represents relation between dependent and independent variable.

The range and domain of a function is predetermined.

For a given function f(x)

the domain of the inverse function of f(x) =  the range of the given function

the range of the inverse function = the domain of the actual function.

the domain and the range gets interchanged.

  6 → 9 , 7 → 10,  8 → 11, 9 → 12 is the  domain and range that represent the inverse of the function f(x).

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Answer:

1. Cube

2. Triangular Prism

3. 73.5

Step-by-step explanation:

for the third question: 12.25 per square, 6 squares. 12.25 times 6 = 73.5

Answer:

Step-by-step explanation:

expression 30+x will calculate the money I will have in my wallet at the end of the day after being paid to work as a coach, given that I already have $30 in my wallet

x-is the amount of money I will make today

Therefore the simplified answer =

The different scenarios given in the question are categorized as legitimate variables or not as given below.

What is a variable?

A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable. A variable is a letter that stands in for an unknown; it always represents a number but can take on several meanings when used in an expression.

a) Numer of states that have a female governor has only one value and it cannot be varied. So it is not a legitimate variable(N).

b) The percentage of state's residents over 65 years of age is a legitimate variable (L) because the number will vary for different states.

c) The highest speed limit in the state is a legitimate variable(L) as the limits are different for different states.

d) Whether or not the state's name consists of one word is a legitimate variable(L) as it varies for different states.

Therefore the different scenarios are categorized as legitimate variables or not.

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Answer:

AAS postulate

Step-by-step explanation:

Answer:

i hope it help u:))

Step-by-step explanation:

i think that it will be ASA postulate

To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

there is no table to get our answers off of.

Step-by-step explanation:

Answer:

1 200 000 000

Step-by-step explanation:

this is the answer