PLEASE HELP WITH THESE TWO QUESTION 20 POINTSSSS

PLEASE HELP WITH THESE TWO QUESTION 20 POINTSSSS

Answers

Answer 1

In the given question angle a= 60° and b= 120° by exterior angle theorem

How are exterior angles determined?

When a triangle's side is extended to make an angle outside the triangle, the external angles of the triangle are formed. We can use the formula below to determine the size of an external angle:

Sum of Measurements of Distant Interior Angles = Measure of Exterior Angle

The two interior angles that are not directly close to the external angle being measured are known as the remote interior angles. Remote internal angles are angles at vertices A and B if we extend the side AB to generate an exterior angle at vertex C in a triangle with vertices A, B, and C.

Measure of Interior Angle at Vertex A + Measure of Interior Angle at Vertex B = 180 degrees, where Measure of Exterior Angle at Vertex C = 180 degrees.

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Related Questions

1. bmi calculator: design a program in raptor that prompts user to enter a person's weight in number of pounds and height in number of inches, then calculate that person's body mass index (bmi) using the formula below, and finally display the person's weight, height, and bmi. bmi

Answers

The program uses the conversion factors of 2.205 pounds per kilogram and 39.37 inches per meter to convert the input values to the correct units for the formula.

To design a program in Raptor that prompts the user to enter a person's weight in pounds and height in inches, and then calculates and displays their body mass index (BMI), we can follow these steps:

Start by opening Raptor and creating a new program.

Add three input symbols to prompt the user for their weight, height, and a constant value for BMI. Label each input symbol accordingly.

Add three assignment statements to assign the input values to variables. We can use the labels we assigned to the input symbols as variable names to make the code more readable.

Add two calculation statements to calculate the person's BMI using the formula [tex]BMI = (weight in pounds * 703) / (height in inches)^2.[/tex]Assign the result to the BMI variable.

Add three output symbols to display the person's weight, height, and BMI. We can concatenate strings with the variable values to make the output more informative.

Finally, save the program and run it to test it with different input values.

Here's what the program would look like:

Start

// Prompt the user for weight, height, and BMI

Input "Enter weight in pounds:", weight

Input "Enter height in inches:", height

Input "BMI:", bmi_constant

// Calculate BMI

Set weight_in_kg = weight / 2.205 // Convert weight to kilograms

Set height_in_m = height / 39.37 // Convert height to meters

[tex]Set bmi = weight_in_kg / (height_in_m ^ 2)[/tex] // Calculate BMI

// Display results

Output "Weight: " + weight + " lbs"

Output "Height: " + height + " in"

Output "BMI: " + bmi

Stop

When the program is run, it will prompt the user to enter their weight, height, and a constant value for BMI. It will then calculate the person's BMI using the formula, convert the weight to kilograms and the height to meters, and display the results along with the original weight and height values. The program uses the conversion factors of 2.205 pounds per kilogram and 39.37 inches per meter to convert the input values to the correct units for the formula.

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At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.

a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent

How many gold and bronze medals were won?

50
70
105
120

Answers

Answer:

70 gold and bronze

Step-by-step explanation:

Add gold at 20 percent and bronze at 50 percent to get 70 percent gold and bronze.

Question Below.
Answers: 250|253|254|255|307|433|434|435|507|.
First to answer this question the quickest is rewarded branliest + 100 points

Answers

Answer:

Minimum--> 250

Q1--> 255

Q2--> (Median): 307

Q3--> 433

Maximum-->507

Step-by-step explanation:

To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.

First, we need to sort the data set in ascending order:

{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }

Minimum: 250

Maximum: 507

To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.

Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.

Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.

Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.

Betsy is working on draining her pool for the winter. Her pool has 1,200 gallons of water and can drain 100 gallons an hour. After 5 hours, how much water will still be in the pool?​

Answers

After 5 hours, there will be 700 gallons of water still in the pool.

After 5 hours, how much water will still be in the pool?​

Given that, the pool has 1,200 gallons of water and can drain 100 gallons an hour.

After 5 hours, the total amount of water drained from the pool will be 100 gallons per hour times 5 hours, or 500 gallons.

= 100 gallons × 5

= 500 gallons

To find out how much water will still be in the pool, we need to subtract the amount of water drained from the original amount "y":

This forms an equation.

Amount of water still in the pool = original amount - water drained from the pool.

y = 1,200 gallons - 500 gallons

y = 700 gallons

Therefore, 700 gallons of water is still in the pool.

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Trey purchases 200 shares of Turner stock for per share. Trey pays in cash to complete the purchase. One year​ later, Trey sells the stock for per share. Part 2 Calculate the return that Trey earned on his investment of .

Answers

Answer: Formula

Step-by-step explanation:

Stocks x per share = return

Trey's return on investment, if the stock paid no dividends during the year, is 14.29%.

We have,

Purchase price per share: $50

Number of shares purchased: 200

Total purchase cost (excluding loan interest):

Purchase price per share * Number of shares purchased

= $50 * 200

= $10,000

Loan amount: $5,000

Loan interest rate: 10%

Interest paid on the loan:

Loan amount * Interest rate

= $5,000 * 10%

= $500

Total purchase cost (including loan interest):

Total purchase cost + Loan interest

= $10,000 + $500

= $10,500

Selling price per share: $60

Total revenue from selling the stock:

Selling price per share * Number of shares sold

= $60 * 200

= $12,000

Return on investment (ROI):

(Total revenue - Total purchase cost) / Total purchase cost

ROI = ($12,000 - $10,500) / $10,500

Simplifying the expression:

ROI = $1,500 / $10,500

ROI = 0.1429 (approximately)

To express the ROI as a percentage:

ROI as a percentage = 0.1429 * 100 = 14.29%

Therefore,

Trey's return on investment, if the stock paid no dividends during the year, is 14.29%.

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The complete question:

Trey purchases 200 shares of Turner stock for $50 per share.

Trey pays $5,000 in cash and borrows $5,000 from his broker at 10 percent interest to complete the purchase.

One year later, Trey sells the stock for $60 per share.

Trey's return, if the stock paid no dividends during the year, is?

Evaluate the function when x = 3, x = 0, and x = -2.

10. g(x) = 3x
12. h(x) = 1.2x
13. f(x)=1.5x-2
14. h(x)=-4x+1/2
15. f(x)=1/3x + 2/3

Answers

Answer: The answer is -10 :)

Step-by-step explanation:

12)f(x)=2x-6

=》f(3)=2(3)-6

=》6-6=0

f(×)=2x-6

f(0)=-6

=》f(-2)=2(-2)-6

=》-4-6

=-10

13)h(3)=6(3)+2

=》18+2

=20

h(0)=0+2

h=2

(-2)=6(-2)+2

=》-12+2

=-10

what equation can be used to represent the relation shown in the table ?

Answers

check how you get from x to y for each column and find that you times by 7 so:

y = 7x

For each of the indefinite integrals below, choose which of the following substitutions would be most helpful in evaluating the integral. Enter the appropriate letter (A,B, or C) in each blank. DO NOT EVALUATE THE INTEGRALS.

Answers

The substitutions that would be most helpful in evaluating the integral are:

1. C (x = 8 secθ)

2. B (x = 8 sinθ)

3. A (x = 8 tanθ)

4. B (x = 8 sinθ)

5. A (x = 8 tanθ)

What are the substitutions that are most helpful?

For problem 1, the substitution x = 8 secθ will be useful because it will transform the integral into a form that can be solved using the substitution u = tanθ.

For problem 2, the substitution x = 8 sinθ will be useful because it will transform the expression inside the integral into a trigonometric function that can be integrated using standard techniques.

For problem 3, the substitution x = 8 tanθ will be useful because it will transform the expression inside the integral into a form that can be solved using integration by parts.

For problem 4, the substitution x = 8 sinθ will be useful because it will transform the expression inside the integral into a form that can be solved using the substitution u = cosθ.

For problem 5, the substitution x = 8 tanθ will be useful because it will transform the expression inside the integral into a form that can be solved using the substitution u = secθ.

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What is the difference between the points (8, 10) and (8, 4) on coordinate plane

Answers

Answer:

6 units

Step-by-step explanation:

(8, 10 ) → (8, 4 )

since the x- coordinates of each point are the same, both 8

then this is a vertical straight line

the difference is then the absolute value of the difference in the y- coordinates, that is

| 10 - 4 | = | 6 | = 6

or

| 4 - 10 | = | - 6 | = | 6 | = 6

Choose the item that has measurable volume.

cereal box

an index card

piece of paper

a napkin

Answers

Answer:

For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.

Step-by-step explanation:

hope its right!

please help me i need it

Answers

Answer:

75 degrees

Step-by-step explanation:

Since angle ABD = angle ABC + angle CBD, and we know each of those, we can add them to get the answer.

30+45=75 degrees.

Chase decided he was going to start selling cups of lemonade this weekend too. He calculated his profit using the given table

number of cups sold (c) 15 20 25 30 35
total profit earned S(c) $5.05 $9.05 $13.05 $17.05 $21.05

Answers

     $5.05                                     15

+    $9.05                                     20

+  $13.05                                     25

+  $17.05                                      30

+  $21.05                                 +   35

   $65.25                                  125      

NUMBER OF CUPS SOLD :-125

TOTAL PROFIT:- $65.25

What is the least common denominator of the fractions in the sum 1/8 + 1/9?

Answers

This means that the lowest goal (LCD) is 72 and that the total of 1/8 and 1/9 stated with one common denominator = 72 is 17/72.

What or who is a denominator?

The denominator of a fraction, which represents many spaced evenly out parts are utilized to split an object, is the smallest amount inside the fraction. The fraction is divided by it. The denominator in this situation is 4, suggesting there are four parts altogether.

The fractions mentioned have 8 and 9 as their denominators. Multiples of 8 include 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80, while multiples of 9 include 9, 18, 27, 36, 45, 54, 63, 72, and 81.

It is evident that 72 will be the first common number of 8 and 9. Hence, for 1/8 and 1/9, its least common factor (LCD) is 72.

We must express every fraction with denominator 72 in order to sum the fraction with a common denominator:

1/8 Equals 9/72 (with multiplying both the numerator and the denominator by 9)

1/9 Equals 8/72 (with multiplying both the denominator and the numerator by 8)

We can now combine the fractions:

1/8 plus 1/9 = 9/72 plus 8/72

= 17/72

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Can someone pls help me its delta really annoying

Answers

The cost per boxed lunch is $9.46.

two sets of the sum of a number and eight are added to five times the same nunmber

Answers

Answer:

2 (x + 8) + 5x.

Step-by-step explanation:

This question is to find the algebraic expression given by words. Call the unknown number x. Then the sum of it and eight is x + 8. Two sets of it means 2 (x + 8). Now that added to five times the number is 2 (x + 8) + 5x. Then, the answer is: 2 (x + 8) + 5x.

Graham wants to take snowboarding lessons at a nearby ski resort that charges $40 per week. The resort also charges a one-time equipment-rental fee of $99 for uninterrupted enrollment in classes. The resort requires that learners pay for three weeks of classes at a time​

Answers

Answer:

$40+99=136  For 1 week

For 3 weeks it would be $120

A kettle is sold at a profit equal to one-fourth of its cost price. Find the profit percentage.​

Answers

Answer:

25%

Step-by-step explanation:

If the cost price could be 100

Then there's A/Q

One-fourth is always 100/4 = 25%

25% is the profit percentage because if the kettle is sold at a profit of 1/4th of the price, what’s 1/4th in percentage? 25%

A new water park, Tony’s Tidal Takeover, just opened. You have not heard anything specific about how much it costs to go to this park, but some of your friends have told you what they spent. The information is organized in the table below.

Answers

If I had $14 to spend, the park that I will choose based on the information will be park D where 6 rides cost $16.50

How to calculate the word problem

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, if I had $14 to spend, the park that I will choose based on the information will be park D where 6 rides cost $16.50. This is because it's the cheapest.

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Your local hardware store is having a 35% off everything sale. But Wait!!!! For the next 3 days they
are offering a coupon to save an additional 30%. If the store applies the sale price then applies the
coupon, find each of the following. Let a represent the price of any item. Round all decimals to 4
decimal places.

Write an function that will directly calculate the final price on an item.

What percentage is actually being saved by the costumer?

Answers

1. The function that will directly calculate the final price on an item is " a * 0.455".

2. The percentage that is actually being saved by the custumer is 54.5%.

Function which will calculate the final price on an item:

The final price of an item after the discount and coupon can be calculated using the following function:

Final price = a * (1 - 0.35) * (1 - 0.30)

Final price = a * 0.455

This function first applies the 35% discount, which reduces the original price (a) to 65% of its value. Then, it applies the 30% coupon to the discounted price, which reduces it to 70% of its value.

What percentage is actually being saved by the custumer?

Original price = $100

Sale price (35% off) = $100 * (1 - 0.35)

Sale price (35% off) = $65

Final price = $65 * (1 - 0.30)

Final price = $45.50

Savings = $100 - $45.50

Savings = $54.50

Percentage saved:

= (Savings / Original price) * 100%

= ($54.50 / $100) * 100%

= 54.5%

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Find the volume of the composite. The solid below is a square prism with a cylinder
cut out of it. Round to the nearest whole centimeter.

Answers

Answer:

17,242 cm³

Step-by-step explanation:

Step 1:

Volume of square prism = (area of base) * height

Volume of square prism = (25 * 30) * 25

Volume of square prism = 750 * 25

Volume of square prism = 18,750 cm³

Step 2:

Volume of cylinder = (area of base) * height

Volume of cylinder = (π * (8/2)²) * 30

Volume of cylinder = 16π * 30

Volume of cylinder = 480π

Volume of cylinder ≈ 1,508 cm³

Step 3:

Volume of composite = (Volume of square prism) − (Volume of cylinder)

Volume of composite = 18,750 cm³ − 1,508 cm³

Volume of composite = 17,242 cm³

a movie streaming service offers 12 children movies this is 15% of the total number of movies offerd

Answers

Answer: the movie streaming service offers 80 children's movies

Step-by-step explanation:

Ruby wants to find the height of the tallest building in her city. She stands 190 feet away from the building. There is a tree 31 feet in front of her, which she knows is 20 feet tall. How tall is the building? (Round to the nearest foot.)

Answers

To solve this problem, we can use similar triangles. Let's call the height of the building "h". Then, we have two similar triangles: one formed by Ruby, the tree, and the top of the tree; and the other formed by Ruby, the building, and the top of the building.

We know that the height of the tree is 20 feet, and the distance from the tree to Ruby is 31 feet. We also know that the distance from Ruby to the building is 190 feet.

Using these values, we can set up a proportion:

h / (190 + 31) = 20 / 31

Simplifying the proportion, we get:

h / 221 = 20 / 31

Multiplying both sides by 221, we get:

h = (20 / 31) * 221

h ≈ 143.23

Therefore, the height of the building is approximately 143 feet. Rounded to the nearest foot, the height of the building is 143 feet.

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In her geology class, Nora learned that quartz is found naturally in a variety of colors. Nora's teacher has a giant box of colorful quartz pieces that he and his students have collected over the years. Nora picks a piece of quartz out of the box, records the color, and places it back in the box. She does this 18 times and gets 3 purple, 2 yellow, 5 white, and 8 pink quartz pieces.
Based on the data, what is the probability that the next piece of quartz Nora picks will be yellow?
Write your answer as a fraction or whole number.

Answers

The probability that the next piece of quartz Nora picks will be yellow is [tex]\frac{1}{9}[/tex].

What is probability?

Probability is a tool that can be used to calculate the likelihood of an event. It can only be used to assess the likelihood that an event will take place. a scale where 0 represents impossibility and 1 represents a particular occurrence.

We are given that Nora picks pieces 18 times from the box and gets 3 purple, 2 yellow, 5 white, and 8 pink quartz pieces.

So, for the event,

⇒ Probability of yellow pieces = [tex]\frac{2}{18}[/tex]

⇒ Probability of yellow pieces = [tex]\frac{1}{9}[/tex]

Hence, the probability that the next piece of quartz Nora picks will be yellow is [tex]\frac{1}{9}[/tex].

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Is (2+8), 3y a constant?

Answers

Step-by-step explanation:

3y is not a constant for it has a variable.

However, (2+8) = (10) is a constant

(CO 3) A bottle of water is supposed to have 20 ounces. The bottling company has determined that 96% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled?
Group of answer choices
a. n=0, p=36, x=98
b. n=20, p=0.98, x=36
c. n=36, p=0.96, x=36
d. n=36, p=0.98, x=1

Answers

The parameter to describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled is x = 36, p = 0.96 and n = 36. So, the right choice for answer is option (c).

A binomial experiment is an experiment using a fixed number of independent trials with only two outcomes. These experiments'outcomes are defined as either success or failure. The following requirements for experiment are :

Each fixed trial performed in the experiment had only two possible outcomes. One result will be marked as a success and the other as a failure.The probability of success in each trial must remain the same for each trial conducted. It is represented by p.Each trial in the experiment must be independent of the other trials.

Water Quantity in a bottle = 20 ounces

According to bottling company, the percentage of bottle with correct amount = 96% = 0.96

so, probability of success, p = 0.96

Probability for 36 bottles has all bottles properly filled, that is x = 36. Now, looking the all choice, we conclude option(c) is correct choice.

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Solve for x. Round to the nearest tenth, if necessary

Answers

Answer: 1.0

Step-by-step explanation:

sohcahtoa means you use sine.

sin(37) = 0.6/x

xsin(37) = 0.6

x = 0.6/sin(37)

x = 0.996

x = 1.0

A grain silo has a cylindrical shape. Its radius is 8ft, and its height is 38ft. What is the volume of the silo?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

13487 ft³

Step-by-step explanation:

Volume of a Cylinder: 2πr²*h

π = 3.14

r = 9 ft

h = 53 ft

Volume = 2(3.14)(9)²*53 = 13486.86 ft³

Rounded to nearest whole number

Volume of the Cylindrical Water tank is 13487 ft³

a machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate in pounds
per hour does the machine makes nails?

Answers

Answer:

a machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate in pounds

per hour does the machine makes nails?

Juniper Middle School serves students in 7th and 8th grades.
a. 55% of the students at Juniper are in the 8th grade. The remaining 117 students are in 7th grade. How many
students attend Juniper Middle School?
b. In September, there was an average of 4.8 daily unexcused absences. In October, this daily average was 6. By what
percent did the average daily unexcused absences change from September to October?

Answers

There are 260 students who attend Juniper Middle School. The average daily unexcused absences increased by 25% from September to October.

How to calculate . How many students attend Juniper Middle School

a. Let's assume that the total number of students at Juniper Middle School is "x."

Given that 55% of the students are in the 8th grade, we can write:

0.55x = number of 8th grade students

And since the remaining 117 students are in 7th grade, we can write:

x - 0.55x = 117

0.45x = 117

x = 260

Therefore, there are 260 students who attend Juniper Middle School.

b. To find the percent change from September to October, we can use the formula:

percent change = ((new value - old value) / old value) x 100%

Substituting the given values, we get:

percent change = ((6 - 4.8) / 4.8) x 100%

percent change = (1.2 / 4.8) x 100%

percent change = 25%

Therefore, the average daily unexcused absences increased by 25% from September to October.

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The radius of a circle is 5 in. Find its area in terms of pi

Answers

Answer:

Step-by-step explanation:

[tex]A=\pi r^2=\pi \times 5^2=25\pi[/tex]

Solution: [tex]A=25\pi[/tex] units²

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