Mathematics High School

Hey can someone help me I dont really undertstand this, (thank you ^^)

Answers

Answer 1

Answer:

exact area = 81π in.²

approximate area = 254.34 in.²

Step-by-step explanation:

Exact:

area = πr²

r = radius = diameter/2 = 18 in./2 = 9 in.

area = πr²

area = π × (9 in.)²

area = 81π in.²

exact area = 81π in.²

Approximate:

π = 3.14 (approximately)

area = πr²

area = 81π in²

area = 81 × 3.14 in.²

approximate area = 254.34 in.²

Related Questions

The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the
grill. the grill is 60 cm in diameter, how long is each support rod?

Answers

Answer:

58.1 cm

Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

Pythagorean theorem

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

c² = a² +b²

application

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

30² = 7.5 +b²

b² = 900 -56.25 = 843.75

b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.

1. You need a parking for your food truck, so you purchased 26 “parking hours” that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour. You spent a total of $220. How many weekday hours did you purchase?

2.If the weekday hours tripled but your budget of $220 for 26 parking hours remain the same. How many weekend hours can you purchase now that the weekday hours have increased?

Answers

The weekday hours you purchased is 5 hours.

The number of weekend hours I can purchase if the weekday hours tripled is 11 hours.

What are the linear equations that represent the question?

2a + 10b = 220 equation 1

a + b = 26 equation 2

Where:

a = number of hours for weekday parking b = number of hours for weekend parking

How many weekday hours did you purchase?

Multiply equation 2 by 10

10a + 10b = 260 equation 3

Subtract equation 3 from equation 2

8a = 40

a = 5 hours

What is the weekend hours I can purchase?

(5 x 3) + b = 26

15 + b = 26

b = 26 - 15

b = 11 hours

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dependent or independent

Answers

The probability of coin landing with heads is an independent event.

The probability of winning 1st and 2nd prize is a dependent event.

What are independent and dependent events?

Independents events are events whose occurrence do not depend on each other. They are random events. The probability of a coin landing on heads is a random event.

Dependent events are events that are not random. The outcome of one event depends on the outcome of another event.

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In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree

Answers

The angular measure L is : 47°

What are angles?

Angles are formed when two lines meet.

Analysis:

Firstly, we calculate for m using cosine rule.

[tex]m^{2}[/tex] = [tex]510^{2}[/tex] + [tex]820^{2}[/tex] -2(510)(820) cos 20

[tex]m^{2}[/tex] = 260100 + 672400 -83600(0.9396)

[tex]m^{2}[/tex] = 146618.56

m = [tex]\sqrt{146618.56}[/tex] = 382.9cm

using sine rule to find ∠L

382.9/sin20 = 820/sinL

sinL = 820sin20/382.9

sinL = 820(0.342)/382.9

sinL = 0.732

L = sin inverse of 0.732 = 47°

In conclusion, ∠L is 47°

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Complete the slope-intercept form of the linear equation that represents the relationship in the table

Answers

Answer:

[tex]y = - 2 x + 5[/tex]

Step-by-step explanation:

Hope this will help :)

Given the parent function p(x)=cos(x) what phrase best describes the transformation used to obtain g(x)= cos(x+a)-b, if a and b are positive constants

Answers

Move a units to the left and b units down

Cos W =0.53

Does anybody know this

Answers

Answer:

58°

Step-by-step explanation:

Apply trig inverse properties

W = arccos(0.53)

W = 2[tex]\pi[/tex] - arccos(0.53)

need help asap please!

Answers

Answer:

determinant: -15x = 3; y = 4; z = 1

Step-by-step explanation:

The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.

coefficient matrix, determinant

The first attachment shows the coefficient matrix and its determinant.

solution

The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

[tex]\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}[/tex]

This multiplication is shown in the second attachment. It tells us ...

[tex]\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right][/tex]

Which of the following is the range in the given set of numbers 10, 30, 15, 17, and 18

Answers

Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.

What is the range of a data-set?

The range of a data-set is given by the difference of the greatest value by the smallest.

In the data-set 10, 30, 15, 17, and 18, we have that:

The greatest value is 30.The smallest value is 10.

Hence the range is given by:
R = 30 - 10 = 20.

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What is the algebraic equation of the sum of 28?

Answers

Answer:

There can be alot of equations for this since you didn't say anything specific. But since u didnt say anything specific, this can be one of the equations: 20 + 8, 30 - 2, 4 x 7

Solve for x.
40°
x + 71
75°

Answers

Answer:

x = -6.

Step-by-step explanation:

First thing to notice is that this is the third angle in a triangle, and all 3 angles have to equal 180.

Subtract 75 and 40 from 180 to get the missing angles value.

180 - 75 - 40 = 65

So now we know the missing angle has to be 65, or can be written as:

x + 71 = 65.

To solve this, just subtract 71 from both sides.

x = -6.

Julia buys a spool with 12 yards of wire. The students in
her jewelry-making class use 4 yards 2 feet of the wire
for one project and 7 feet of the wire for another
project. How many feet of wire does Julia have left?

Answers

1 yrd = 3 ft
12 yrd x 3 ft = 36 ft

one jewelry project uses 4 yrd + 2 ft OR 14 ft

the second project uses 7 ft
14 ft + 7 ft = 21 ft
36 ft - 21 ft = 15 ft of wire left over

Use the bar graph to find the experimental probability of the event.The experimental probability of spinning a 7 is

Answers

The experimental probability of spinning a 7 is 0%

How to determine the probability?

From the complete question, we have:

n(7) = 0

The above means that the number 7 is not on the spinner.

So, it is impossible to spin a 7

Hence, the experimental probability of spinning a 7 is 0%

Answers

Answer:

8 hrs.

Step-by-step explanation:

He has to spend $9, so 57+9=66. The closest multiple of 9 over 66 is 9x8=72. So, Reuben has to spend 8 hrs.

a man invested $6000 at 8% per annum simple interest for 5 years.
a).calculate the simple interest.
b).the total amount of money collected at the end of the 5 year period.

Answers

Answer:

*r = R/100 = 8%/100 = 0.08 per year, A = P(1 + rt)

a) A = 6000[1 + (0.08 × 5)] = 8400

b) A = $8,400.00

Answer:

a) $2400

b) $8400

Step-by-step explanation:

The simple interest formula can be used to find the amount of interest. The amount collected at the end of the period is the total of principal and interest.

The simple interest is given by the formula ...

I = Prt . . . . . . P is the principal amount, r is the annual rate, and t is the number of years

For this investment, the interest is ...

I = $6000·0.08·5 = $2400

The simple interest amounts to $2400.

The amount collected at the end of 5 years is the principal plus interest:

P +I = $6000 +2400 = $8400

The total collected is $8400.

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Answers

Answer:

angles in a triangle add up to 180°

5:12:13 = 30

180 ÷ 30 = 6

6 × 5 = 30°

6 × 12 = 72°

6 × 13 = 78°

angles = 30°, 72°, 78°

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

0.81

Step-by-step explanation:

how this helps!

btw: you spelled truly wrong

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year, how long will it take for the value of the computer to be $0?

Answers

After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.

The above problem can be solved using concept of arithmetic sequence

The starting value = $1750

After one year = 1750 - 250 = $1500

After second year = 1500 - 250 = $1250

Common difference = 1500 - 1750 = -250

a(n) = 1750 + (n - 1)(-250)

a(n) = 0 (final value is zero given)

0 = 1750 + (n - 1)(-250)

n - 1 = 7

n = 8 years

Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

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Simplify 3y²-4x² + xy - 2x² - 9y²

Answers

Answer:

-6x²+xy-6y²

Step-by-step explanation:

3y² - 4x² + xy - 2x² - 9y²

-4x²+ xy - 2x² - 6y²

-6y² + xy - 6y²

Answer:

−6x² + xy − 6y²

Step-by-step explanation:

Simplify 3y²-4x² + xy - 2x² - 9y²

Step 1

Subtract 9y² from 3y²

−4x² +xy −2x² −6y²

Step 2

Subtract 2x² from −4x²

−6x² + xy − 6y²

Solve for the coordinates of the midpoint of (13, 27) and (-31, 53). Show your work to receive full credit.

Answers

Answer:

-9,40

Step-by-step explanation:

Midpoint Formula:

[tex](\frac{x^{1} +x^{2} }{2},\frac{y^{1} +y^{2} }{{2} } } )[/tex]

Answer:

Midpoint = (−9,40)

Step-by-step explanation:

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From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 8 passengers are randomly selected, find the probability that fewer than 7 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.

Answers

Using the binomial distribution, it is found that there is a 0.7447 = 74.47% probability that fewer than 7 of them show up.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, the values of the parameters are given as follows:

p = 0.7, n = 8.

The probability that fewer than 7 of them show up is given by:

[tec]P(X < 7) = 1 - P(X \geq 7)[/tex]

In which:

[tex]P(X \geq 7) = P(X = 7) + P(X = 8)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]

[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]

Then:

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) = 0.1977 + 0.0576 = 0.2553[/tex]

[tec]P(X < 7) = 1 - P(X \geq 7) = 1 - 0.2553 = 0.7447[/tex]

0.7447 = 74.47% probability that fewer than 7 of them show up.

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please help me im just really slow

Answers

So let’s put the missing number in as x
5/4=x/10 we cross multiply
5x=40
Isolate x so we divide both sides by 5 (whatever we do to one side we do to the other)
x=8

3. 8/10
4. 20/30
5. 20/24
6. 1/3
7. 9/33
8. 16/38
9. 16/36
10. 1/3
11. 9/18
12. 1/3
13. 12/28
14. 3/5

how to determine area of the following,in some cases leave the answer in term of x ABJH

Answers

Answer:

x²

Step-by-step explanation:

The area of rectangle ABJH is the product of its dimensions.

The dimensions are given as ...

AB = x

AH = x

The area of ABJH is ...

area = length × width = (x) × (x) = x²

The area of ABJH is x².

3. Here is a list of questions about the students and teachers at a school. Select all the
questions that are statistical questions.
A. What is the most popular lunch choice?
B. What school do these students attend?
C. How many math teachers are in the school?
D. What is a common age for the teachers at the school?
E. About how many hours of sleep do students generally get on a school night?
F. How do students usually travel from home to school?

Answers

education Roman Catholic School one five two weeks

What is the sum of the polynomials? (–x2 9) (–3x2 – 11x 4)

Answers

The sum of the polynomials is -4x^2 -11x-5.

bivariate data is the type of data that a scatterplot is used to analyze?
True
or
False

Answers

True because I got a 100 on the test

Starting at the point (0,0) how many ways are there to get to the point (7,4) if you have to pass through the point (2,2) and each step can only be in a positive direction. (i.e. to the right or up)?

Answers

The number of ways there are to get to the point (7,4) if you have to pass through the point (2,2) is; 1266 ways

How to find the lattice Paths?

The formula to get the number of ways to get to the lattice point (x, y) (supposing x, y ≥ 0) by taking steps of one unit each either in the eastward or northward direction is exactly;

(x + y)

= (x + y)!/(x!y!)

( x )

Thus, number of ways from (0, 0) to (2, 2) = (2 + 2)!/(2!2!) = 6 ways

Number of ways to get to point (7,4) from (2, 2) is;

((7 - 2) + (4 - 2))!/(2!2!) = 7!/(2!2!) = 1260

Thus, total number of ways = 1266 ways

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which equation has an infinite amount of solutions

Answers

First one I believe. Its been a couple years since I’ve done this so im not 100% sure

Please help me this is my last question this one is worth big points for me

Answers

Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50

Step-by-step explanation:

Hope this helps

:3 have an amazing day or a beautiful day:)

Petra is making a batch of extra large donuts by stamping circles in dough using
a pastry stamp with a diameter of 5 inches. For the donut hole, she stamps out
a circle using a pastry stamp that has a diameter of 2 inches.
How many square inches of dough are left in the donut after the hole has been
removed?
Step 1 Find the radius of each circle
Step 2 - Find the area of the large circle
Step 3 - Find the area of the small circle
Step 4 - Area of large circle minus area of small circle
Area = Tr

Answers

The answer of the following questions is discussed below

What is area of circle?

Area of a circle is the region covered or enclosed within its boundary. It is measured in square units.

The radius of each circle

r1= 2.5 inches.

r2= 1 inches

Area of circle large circle,

= πr1²

=3.14*2.5*2.5

=19.625 inch²

Area of small circle,

= πr2²

= 3.14*1*1

=3.14 inch²

Area of large circle minus area of small circle,

= 16.485 inch²

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