help me with this pls

Help Me With This Pls

Answers

Answer 1

Where the OADB is a sector of a circle, and Angle AOB  = 80°, and the Radius of OB = 12cm,:

The length OC = 16.4cmThe Lenght BC = 18.9cmThe area of the Triangle OAB = 309.5cmThe areas of the sector OADB  = 534.5cm²The percentage of the diagram that is shaded is = 57.9%

What is a sector of a circle?

A circular sector (symbol: ) is the piece of a disk (a closed region circumscribed by a circle) contained by two radii and an arc, where the smaller area is known as the minor sector and the bigger as the major sector.

Given m∠AOB = 98°, OB = OA = 25cm (The radii are congruent) Thus,

m∠OAB = m∠OBA,

m∠OAB = (180 - 98) /2

m∠OAB = 41°

In the Right Triangle OBC, OB = 25cm, m∠OBC = 41°

Hence,

OC /OB = Sin ∠OBC ,
OC = OB (Sin ∠OBC )

= 25 * Sin41°

= 16.4cm; thus,

OC = 16.4cm

Where BC/OB = Cos ∠OBC,

BC = OB ( Cos ∠OBC)

= 25 * Cos 41° Thus,

BC = 16.4cm


The area of the ΔOAB = 1/2 * OA * OB * Sin98°
= 1/2 * 25 * 25 * Sin 98°

= 309.5cm²


The area of the Sector OADB = (98°/360°) * π * 25²

= 0.2722222222 * 3.14 * 25²

= 0.2722222222 * 3.14 * 252

= 534.5cm²



The percentage of the diagram that is shaded is given as:

309.5/534.5 * 100

= 0.5790458372 *100

= 57.9%

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Related Questions

There are 80 people at the movie theater today 2/5 of the people are eating popcorn one for eating chocolate candy and the rest are eating record twist how many people are eating record toys

Answers

The people that are eating record toys are 48

How many people are eating record toys

From the question, we have the following parameters that can be used in our computation:

People at the movies = 80

People are eating popcorn = 2/5

Using the above as a guide, we have the following:

Record toys = (1 - People are eating popcorn) * People at the movies

Substitute the known values in the above equation, so, we have the following representation

Record toys = (1 - 2/5) * 80

Evaluate

Record toys = 48

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What is the answer to x in this equation 4x+4=12?

Answers

Answer:

x=2

Step-by-step explanation:

4x+4=12

   -4   -4

_______

4x=8

_____

4     4


x=2

given the parallelagram below, micheal writes triangle abc

Answers

Michael writes, "Triangle ABC is congruent to triangle CDA'',

if the segment AC ≅ AC.

What is congruent?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Given the parallelogram below,

Michael writes, "Triangle ABC is congruent to triangle CDA''.

By the parallelogram property:

AB ≅ CD

BC ≅ AD.

If triangle ABC is congruent to triangle CDA,

then the segment AC ≅ AC.

Therefore, the segment AC ≅ AC.

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Three classes ordered lunch from a restaurant. In one class 5/6 of the children ordered hamburger, In the other class 2/4 ordered hot days. 1/2 of the other class ordered chicken wings. what is the total number of children that ordered Sandwiches ?​

Answers

The total number of children that ordered Sandwiches  is 1 5/6

What is the total number of children that ordered Sandwiches

From the question, we have the following parameters that can be used in our computation:

Class 1 = 5/6 Hamburger

Class 2 = 2/4 Hot days

Class 3 = 1/2 Chicken wings

So, the total number of children that ordered Sandwiches is

Total =  5/6 + 2/4 + 1/2

Evaluate

Total = 1 5/6

Hence, 1 5/6 of the three classes ordered sandwiches

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Solve the equation for the specified variable.

M = F/a

a=

Answers

Answer:

A=F/M

Step-by-step explanation:

m=f/a ......,,, cross product

f= ma......,..., both sides divided by m

then the answer is a=f/m

Solve with the box method

Answers

The polynomial  n² + 6n - 1 can be factored as,

(n + 3 + √10)(n - 3 + √10)(3n - 2).

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, A product of two polynomials (n² + 6n - 1)(3n - 2).

Now, The quadratic expression n² + 6n - 1 can be factored as,

n² + 6n - 1.

[- 6 ± √(36 + 4)]/2.

= [- 6 ± √40]/2.

= [- 6 ± 2√10]/2.

= - 3 ± √10.

Therefore, (n² + 6n - 1)(3n - 2)

= (n + 3 + √10)(n - 3 + √10)(3n - 2).

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Find the values of a and b that make the following piecewise defined function both continuous and differentiable everywhere. - 6 x <5 f(x) = { -27 *"ax + b, 125

Answers

The values of a = 17 and b = - 56

that make the following piece wise defined function both continuous and differentiable everywhere.

What is continuous function?

A continuous function in mathematics is one that doesn't change value unexpectedly due to discontinuities, or breaks in the function's continuity. A continuous function in mathematics is a function that causes the value of the function to continuously vary as a result of a continuous variation of the argument, or a change without a leap. Thus, there aren't any discontinuities—rapid changes in value.

conditions are:

1.

f(x) is continuous if,

[tex]\lim_{x \to \ 5^{-}}f(x)[/tex] = [tex]\lim_{x \to \ 5^{+}}f(x)[/tex] = f(5)

2.

differentiable if,

[tex]\lim_{x \to \ 5^{-}}f^'(x)[/tex] = [tex]\lim_{x \to \ 5^{+}}f^'(x)[/tex]

for 1st condition:

⇒ [tex]\lim_{x \to \ 5^{-}}f(x) = \lim_{x \to \ 5^{+}}f(x)[/tex]

⇒ [tex]\lim_{x \to \ 5^{-}}(-3x -6) = \lim_{x \to \ 5^{+}}(-2x^2+ax+b)[/tex]

⇒ (-3 × (-5) - 6) = - 2(5)² + a(5) + b

⇒ - 21 = - 50 + 5a + b

⇒ 5a + b = 29 ................... (1)

For 2nd condition:

⇒ [tex]\lim_{x \to \ 5^{-}}f^'(x) = \lim_{x \to \ 5^{+}}f^'(x)[/tex]

⇒ [tex]\lim_{x \to \ 5^{-}} \frac{d}{dx} (-3x - 6) = \lim_{x \to \ 5^{+}} \frac{d}{dx}(-2x^2 + ax + b)[/tex]

⇒ - 3 = - 4x + a

⇒ - 3 = - 4 (5) + a

⇒ a = 17

Substitute a = 17 in equation (1) we get:

5(17) + b = 29

or, b = - 56

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The complete question is as follows:

what are some services offered by the banks and credit unions

Answers

Step-by-step explanation:

mortgages, lines of credit, checking and savings accounts, auto loans and the convenience of electronic banking and Automated Teller Machines (ATMs)

Step-by-step explanation:

Banks and credit unions offer a variety of financial services, including:

Checking and savings accounts

Personal loans

Mortgages

Credit cards

Investment products (e.g. mutual funds, individual retirement accounts (IRAs))

Foreign currency exchange

Online and mobile banking

Wire transfers

Automated teller machines (ATMs)

Insurance products (e.g. life, auto, homeowners)

Wealth management services

Small business banking services.

Note that the exact services offered may vary depending on the institution.

A scientist evaluated the local deer population. The scientist found that there were 110 juveniles and 90 adults in the local population. What percentage of the deer were juveniles?

Answers

Answer:

55%

Step-by-step explanation:

To find the percentage of juveniles in the local deer population, we need to calculate the proportion of juveniles in the total population and convert it to a percentage.

First, find the total number of deer in the population by adding the number of juveniles and adults:

110 juveniles + 90 adults = 200 deer

Next, divide the number of juveniles by the total number of deer and multiply by 100 to convert to a percentage:

110 juveniles / 200 deer * 100 = 55%

Therefore, 55% of the local deer population were juveniles.

I really need help with these questions pls?

Answers

Answer:

Top one is 3/8

Middle is 4/7

Bottom is 1/3

Step-by-step explanation:

An emergency plumber charges $65 as a call out few plus an additional $75 per hour. He arrives at the house at 9:30 and works to repair a water tank. The total repair bill is $196.25. Use the variable t for the number of hours.

Answers

Answer:

Step-by-step explanation:

Answer:

Around 11:15 am

Step-by-step explanation:

Let h represents the number of hours the plumber works

Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:

→ bill = 65 + 75h

Since the bill is $195.25

→ 195.25 = 65 + 75h

→ 75h = 130.25

→ h = 1.74

1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.

please help with finsing the lemgth of x

Answers

Answer:

  x = 5

Step-by-step explanation:

You want the length of x in the figure showing similar triangles.

Proportion

The bottom edge of the triangle is 2/3 of the left edge.

The similar triangles have the same ratio of side lengths. That means x is 2/3 of (3+4.5):

  (2/3)(7.5) = 5

The length x is 5 units.

PLS HELP me I am in need of help will mark brainiest

Answers

Answer:

Fourth option: √65/4

Step-by-step explanation:

Since the angles are similar, each of the angles of ΔEFG must be equal to each of the corresponding angles of ΔHIJ

Specifically, m ∠J in ΔHIJ = m∠G in Δ EFG

Let's first find ∠G

Since EFG is a right triangle,

tan(G) = EF/FG = √65/4

tan J must be the same as tan G  = √65/4

This is the fourth  option

The value of tanJ is in the right angled triangle HIJ√65 / 4

What is an equation?

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Two triangles are similar if their corresponding angles are equal to each other.

Given that triangle EFG and triangle HIJ are similar, hence:

Angle G = Angle J

tanJ = tanG = √65 / 4

The value of tanJ is  √65 / 4

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Jessie is baking a cake and uses 1/2 of the 4
pound bag of flour. How many pounds of
flour did Jessie use to bake her cake?

Answers

Answer: 2 pounds of flour

Step-by-step explanation:

1/2 of four is two,

4 * 1/2 = 2

Answer:

Jessie used 1/2 of the 4-pound bag of flour, so she used 1/2 * 4 pounds = 2 pounds of flour to bake her cake.

Two houses are 1.5 inches apart on a map. The actual distance between the houses is 10.8 miles. What is the scale of the map?

Answers

Answer:

I inch = 7.2 miles

Step-by-step explanation:

Proportion method is applied:

                     1.5 inches on a map = 10.8 miles of actual distance

                  ∴ 1 inches on the map = x miles of the actual distance

Cross-multiplication is applied:

(1.5 inches)(x miles) = (1 inch)(10.8 miles)

x needs to be isolated and made the subject of the equation:

x miles = [tex]\frac{(1 inch)(10.8 miles)}{1,5 inches}[/tex]

Inches in the numerator and denominator will cancel eachother out:

x miles = [tex]\frac{10.8 miles}{1.5}[/tex]

         x miles = 7.2 miles

∴ Scale on the map:

                  1 inch = 7.2 miles

suppose that x is a discrete random variable that takes integer values from 1 to 100 (both inclusive), and has cumulative distribution function (cdf)

Answers

The probability that the discrete random variable x takes a value less than or equal to 50 is 0.50, since F(50) = 50/100 = 0.50.

F(x) = x/100

Then, the probability that x takes a value less than or equal to 50 is 0.50, since

F(50) = 50/100 = 0.50

The cumulative distribution function (CDF) of a random variable is a function that gives the probability that the random variable is less than or equal to a certain value. In this case, the CDF of the random variable x is given by F(x) = x/100.

Therefore, to find the probability that x takes a value less than or equal to 50, we simply need to evaluate the CDF at x = 50. This is done by substituting 50 into the CDF, which gives us F(50) = 50/100 = 0.50. This means that the probability that x takes a value less than or equal to 50 is 0.50.

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In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse.
If a = 5.7 meters and c = 9.6 meters, what is b? If necessary, round to the nearest tenth.

Answers

Solving the provided question, we can say by Pythagorean theorem b = [tex]\sqrt{a^2 + b^2}[/tex] = [tex]\sqrt{32.49 + 92.16}[/tex] = 11.231meters

what is Pythagorean theorem?

The Pythagorean Theorem, sometimes known as the Pythagorean Theorem, is the basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides. The Pythagorean Theorem, often known as the generic algebraic notation a2 + b2 = c2, states that the square that crosses the hypotenuse of a right triangle opposite the right angle equals the sum of the squares that span the sides of a right triangle.

By Pythagorean theorem

a = 5.7 meters and c = 9.6

b = [tex]\sqrt{a^2 + b^2}[/tex]

b = [tex]\sqrt{32.49 + 92.16}[/tex]

b = [tex]\sqrt{124.65}[/tex]

b = 11.231meters

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hey thank for helping me

Answers

Answer: -1

Step-by-step explanation:

When the graph g hits g=2, the y is -1

what is the smallest number that you can add to 17,438 that will make the sum divisible by 25?

Answers

Check the picture below.

A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the students, Sandra, Marta, and Jane, are girls. The fourth student, Franklin, is a boy.
Using the sample space of possible outcomes listed below, where each student is represented by the first letter of his or her name, answer each of the following questions.

What is P(A)P, left parenthesis, A, right parenthesis, the probability that the first student is a boy?

Answers

Answer: The sample space of possible outcomes is:

{SM, SJ, MJ, MS, JS, JM}.

There are 6 possible outcomes in the sample space, and 1 of these outcomes results in the first student being a boy (Franklin, represented by "F").

Therefore, the probability of the first student being a boy is P(A) = 1/6.

Step-by-step explanation:

Solve, for 0 ≤ x < 360°, the equation

5 sinx - 5 cosx = 2

Answers

In response to the query, x is equal to 60°, 120°, 240°, and 300°. These four options are the answer to the equation.

What does equation mean in its entirety?

A mathematical equation is a statement that two amount or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. An equation is applied when several or more factors must be considered jointly in order to understand or explain the whole situation.

This equation can be solved using the trigonometric identity:

[tex]sinx = \sqrt{ (1 - cos^2x)}[/tex]

This identity can be used as a substitution in the equation:

5 sinx - 5 cosx = 2

5 [tex]\sqrt{(1 - cos^2x) }[/tex] - 5 cosx = 2

5 sqrt[tex](1 - cos^2x)[/tex]) = 7 + 5 cosx

Squaring both sides:

25([tex]1 - cos^2x[/tex]) = 49 + 70 cosx + 25 [tex]cos^2x[/tex]

25 - 25 [tex]cos^2x[/tex] = 49 + 70 cosx + 25 [tex]cos^2x[/tex]

0 = 74 + 45 cosx

45 cosx = -74

cosx = -74/45 = -2/3

The inverted cosine function can be used to determine that x = cos-1(-2/3). x must be within the range of 0° to 360°, hence x must be 300°.

5 sin - 5 cos - 5(-1/2) = 5 sqrt(3)/2 + 5/2 = 2 + 2.5 = 2.5

Since the left side of the equation is not equal to 2, x = 300° is not a solution to the equation.

We can repeat this process for the other solutions to the equation:

x = 60°, x = 120°, x = 240°, and x = 300°

These are the four solutions to the equation for 0° <= x < 360°.

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An automobile manufacturer can produce up to 300 cars per day. The profit made from the sale of these vehicles can be modelled by the function p(x) = -x²+ 350x-6600 where p(x) is the profit in thousand Rupees and x is the number of automobiles made and sold. Answer the following questions based on this
model:

(i) When no cars are produce what is a profit/loss?
(ii) What is the break even point? (Zero profit point is called break even)?
(iii) What is the profit/loss if 400 cars are produced?​​

Answers

i) The profit/loss when no cars are produced is a loss of 6600 Rupees.

II) The break even point is at 20 cars

III) The profit/loss if 400 cars are produced is;  a loss of 13400Rupees.

How to solve Profit functions?

(i) When no cars are produced, x = 0.

Thus, plugging this value into the function p(x) = -x² + 350x - 6600, we have;

p(0) = -0² + 350(0) - 6600 = -6600.

Therefore, the profit/loss when no cars are produced is a loss of 6600 thousand Rupees.

(ii) The break-even point is the point at which the profit is zero, i.e., p(x) = 0. Setting p(x) = 0 and solving for x, we find that;

-x² + 350x - 6600 = 0

x = 20

Therefore, the break-even point is x = 20 cars. T

(iii) If 400 cars are produced, the profit can be found by plugging this value into the function p(x) = -x² + 350x - 6600.

We find that p(400) = -400² + 350(400) - 6600

= -160000 + 140000 + 6600 = -13400. Therefore, the profit/loss if 400 cars are produced is a loss of 13400 Rupees.

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Let P(x) = 3x³ - 7x² + 3x-4 and Q(x) = 2x³ - 6x² - 15. Add the polynomials functions, as indicated below.
(P+Q)(x)
(P+Q)(x) = (Simplify your answer. Do not factor.)
K

Answers

The addition of the polynomial P(x) and Q(x) is  5x³ - 13 x² + 3x - 19.

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

Given:

P(x) = 3x³ - 7x² + 3x-4 and Q(x) = 2x³ - 6x² - 15.

Now, adding the both Polynomials

P(x) + Q(x)

= 3x³ - 7x² + 3x-4 + 2x³ - 6x² - 15.

Now, solving the like terms

= 3x³ + 2x³ - 7x² - 6x² +3x -4 -15

= (3+ 2) x³ + (-7-6) x² +3x -4 - 15

= 5x³ - 13 x² + 3x - 19

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Math 5th grade

Roshaun walks around the city park. The square park measures 61 1/4 yards on each side. How far does Roshaun walk?

Answers

Answer: 245 yds

Step-by-step explanation:

61 1/4 times 4 = 245

25 yards hope I helped

In a group of 21 students, 8 students take Art courses, 7 students take Music courses. Two students take both courses. A student is chosen randomly from this group.
What is the probability that the student takes either Art or Music courses?

Answers

The probability of choosing a student who takes either Art or Music courses is 15/21. To find this, we add the number of students who take Art (8) to the number of students who take Music (7) and subtract the number of students who take both courses (2) to account for the overlap. So, 8 + 7 - 2 = 13. And, the probability is 13/21

Simplify expression[5-6+1]

Answers

Answer: 0

Step-by-step explanation:

Using GEMDAS

- Grouping

- Exponents

- Multiplication

- Division

- Addition

- Subtraction

[5-6+1]

= [-1+1] because you add/subtract from left to right

= [0] because -1+1=0.

Answer is 0

Cavalleria Pizza sells only pizza. They offer five types of crust, two types of cheese, four meat toppings and
four vegetable toppings. If you must order exactly one type of cheese, one meat topping and one vegetable
topping on your pizza, how many different pizzas can you order at Cavalleria Pizza?

Answers

Answer:

3?

Step-by-step explanation:

im not sure sorry

Suppose that Y1 and Y2 are independent, standard normal random variables. Find the density function of U = Y1^2 +Y2^2.

Answers

The cumulative distribution function (CDF) of U is also well known and is given by:

F(u) = 1 - [tex]e^{(-u/2)}[/tex] × γ(1/2, u/2)

where γ is the lower incomplete gamma function.

What is the chi-squared distribution?

The chi-squared distribution is a continuous probability distribution that is widely used in statistics and other fields.

The random variable U = Y1^2 + Y2^2 has a well-known distribution called the chi-squared distribution with two degrees of freedom. The density function of U is given by:

[tex]f(u) = (1 / (2 \times \pi)) \times e^{(-u/2)} \times (u/2)^{(1/2 - 1)}[/tex]

where e is the base of the natural logarithm and π is the mathematical constant pi. This distribution has a positive support on the interval [0, +∞).

The cumulative distribution function (CDF) of U is also well known and is given by:

F(u) = 1 - [tex]e^{(-u/2)}[/tex] × γ(1/2, u/2)

where γ is the lower incomplete gamma function.

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If the public debt in 2006 was 6,783,231,062,743.62 and the budget for 2007 was in deficit by 595,821,633,586.70 what was the public debt in 2007?

Answers

Answer: The public debt in 2007 would be 6,783,231,062,743.62 + 595,821,633,586.70 = 7,379,052,696,330.32

Step-by-step explanation:

what is the geometric progression of; 1+3+6+9+12...​

Answers

Answer:

Addition with the number 3.

Next numbers will be 15, 18, 21,...

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