A sprinkler can spray 7 feet out and rotates in a circle to cover all directions. What is the total area covered by the sprinkler?

Answer:

The correct  answer is  option A) 68.6 m

Step-by-step explanation:

Given:

The angle of elevation from the boat  = 32 degrees

Length of the cable that connects the boat and the man = 129.5 meters

To Find:

How many meters above the lake is the man to the nearest tenth of a meter = ?

Solution:

Let the  height of the man from the Lake be H.

then H can be found using the sine formula of the right tringle

where

[tex]sin( angle) = \frac{opposite}{hypotenuse}[/tex]

In the figure below

the hypotenuse is the cable length, H is the opposite side

and angle is the angle of elevation:

The substituting the values

[tex]sin(32^{\circ}) = \frac{H}{129.5}[/tex]

[tex]H = 129.5 \times sin(32)[/tex]

[tex]H = 0.5299 \times 129.5\\[/tex]

H = 68.624

H= 68.6

Answer:

68.6m

Step-by-step explanation:

Step-by-step explanation:

Given that

Total  investment = $ 500

Let $x be invested at 7% and (500-x ) was invested at 8%

∴ The total interest after 1 year =$[tex][\frac{x\times 7\times1}{100} +\frac{(500-x)\times8\times 1}{100}][/tex]

According to problem,

[tex][\frac{x\times 7\times1}{100} +\frac{(500-x)\times8\times 1}{100}][/tex] = 38

⇔7x +4000 - 8x = 38×100

⇔ -x = 3800 - 4000

⇔x = $ 200

Therefore $(500-200)= $300 was invested at 8% rate

Answer:

31 1/3

Step-by-step explanation:

3x-10=84, given

3x=94, add 10 to both sides

x = 31 1/3, divide both by three

Answer:

3x = 84+10

3x = 94

x = 94/3

x = 31.33

Final answer:

While a correlation of 0.67 suggests a positive relationship between loud music and poor hearing, it does not confirm causation. Many factors contribute to hearing loss, and while loud music is a significant risk factor for noise-induced hearing loss, one cannot definitively conclude it causes poor hearing without considering other variables.

Explanation:

The correlation coefficient of 0.67 between poor hearing and loud music indicates a positive and moderate relationship between the two variables, suggesting that people who listen to loud music tend to have poorer hearing. However, correlation does not imply causation. While loud music can be one of the factors contributing to poor hearing, it is important to remember that other factors can also lead to hearing loss, such as age, genetics, infections, and other environmental noises. Therefore, while the correlation is significant, we cannot conclude with certainty that poor hearing is exclusively caused by listening to loud music.

Noise-induced hearing loss can indeed happen from prolonged exposure to sounds of high intensity. For example, listening to music through earbuds at maximum volume, which can be around 100-105 decibels, increases the risk of hearing loss and can cause noise-induced hearing loss after 15 minutes of exposure. The impact of sound intensity on hearing health is undeniable, but when determining causality, a deeper investigation into other possible contributing factors must also be taken into account.

Answer:

8 and 14

Step-by-step explanation:

X + Y = 22

X= 22-Y

4X= 7Y

4(22-Y) = 7Y

88-4Y=7Y

88= 11Y

8=Y

X= 22-Y= 22-8=14

Answer:

Biased; conveince sample response.

Explanation:

THE HOMEROOM might have the sam intrests for the theme

The sampling method most likely to result in self-selection bias is the voluntary response sample. It involves individuals choosing to respond to the survey and may result in a biased sample as those who participate may not represent the overall opinion of the student body.

In the context of the homecoming dance committee's survey, the method that is most likely to result in self-selection bias is the voluntary response sample. This sampling method involves allowing individuals to choose to respond to the survey on their own. The bias comes from the fact that those who choose to respond may not be representative of the entire student body due to differences in interest or motivation related to the theme of the dance. For example, students with strong opinions on the theme or are more involved in the dance may be more likely to respond, leading to a self-selected and therefore potentially biased sample.

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Answer:

p = z / (x+y)

Step-by-step explanation:

хр + ур = z  (factorize p on the left side)

p(x+y) = z  (divide both sides by (x+y)  )

p = z / (x+y)

Answer:

p=z/(x+y)

Step-by-step explanation:

xp+yp=z

p(x+y)=z

p=z/(x+y)

The option (C) approximately normal is correct if the samples of size and equals 900 are randomly selected from the population.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have the samples of size and equals 900 are randomly selected from the population of numbers zero through nine produced by a random number generator as the population of numbers is greater than or equal to five is found for each sample.

As per the data given from the sample size 900 randomly selected.

The distribution will be approximately normal.

Thus, the option (C) approximately normal is correct if the samples of size and equals 900 are randomly selected from the population.

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The value of function g (4) will be 31.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

F(x) is an even function.

So, F(-x) = F(x)

And, f(-6) = 8

Now,

The function is,

g(x) = 4 f(x+2) - 1

Find the value of g(4), substitute x = 4 in above equation as;

⇒ g (4) = 4 f(4 + 2) - 1

⇒ g (4) = 4 f (6) - 1

Since, F(x) is an even function.

So, F(-8) = F(8)

Hence, We get;

⇒ g (4) = 4 × 8 - 1

⇒ g (4) = 32 - 1

⇒ g (4) = 31

Thus, The value of function g (4) will be 31.

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Answer:

Step-by-step explanation:

0.06

you can solve it one of 2 ways

first : put 6 over 100 and make it a fraction so 6/100 then convert it to a decimal depending on how your teacher wants it

secondly: divide 6 by 100

For this case we have the following statement:

Concha is making dresses, if she has made 2/3 of 6 dresses. How many fractions of dresses does she have left to finish? How many dresses have you already made?

If Concha has made [tex]\frac {2} {3}[/tex] of 6 dresses we have:

[tex]\frac {2} {3} * 6 = \frac {6 * 2} {3} = \frac {12} {3} = 4[/tex]

So we have to:

[tex]\frac {3} {3} - \frac {2} {3} = \frac {1} {3}\\6 * \frac {1} {3} = 2[/tex]

Thus, Concha must make 2 dresses to complete all 6. This represents[tex]\frac {1} {3}.[/tex]

Answer:

Concha has made 4 dresses and must make 2 to complete the 6 dresses.

The answer should be $290 in total.

Answer:

Step-by-step explanation:you just add 1,245 plus 955 then you divide by 5 and get 440

Answer:

y = 5/3x + 4

Step-by-step explanation:

First subtract 5x from both sides

-3y = -5x - 12

Then divide -3 from both sides

y = 5/3x + 4

If you need to go further

y = 1 2/3x + 4

Answer

Y=x\3

Step-by-step explanation:

Answer:

351.7227778°

Step-by-step explanation:

The conversion of 351°41’142” into decimal degrees involves expressing minutes and seconds as fractions of a degree. This results in approximately 351.7227 degrees.

To convert degrees, minutes, and seconds to decimal degrees, we express the minutes and seconds as fractions of a degree. Degrees are already expressed in decimal form, so 351° remains 351. However, 1 minute equals 1/60 of a degree, while 1 second equals 1/3600 of a degree. So, to convert 41 minutes into decimal degrees, we divide 41 by 60, which equals approximately 0.6833. And to convert 142 seconds into decimal degrees, we divide 142 by 3600, which equals approximately 0.0394. Then we add these values together with the original degrees to get the final answer: 351 + 0.6833 + 0.0394 equals approximately

351.7227 degrees

.

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Answer: c. box and whisker plot

Step-by-step explanation:

the box and whisker plot shows you the median and lays out the data so you would know how spread how your numbers are

The most appropriate graph is box-and-whisker plot.

The left and right sides of the box are the lower and upper quartiles. The box covers the interquartile interval, where 50% of the data is found. The vertical line that split the box in two is the median.

Given:

A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like.

As, we know the teacher wants to know median of the scores is on the exam as well as how spread out the scores are.

To find the median from the graph the best graph is  box-and-whisker plot because it shows the quartile and median very accurate.

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The point (4,60) on a graph in the context of a bicyclist traveling likely represents that the bicyclist traveled a distance of 60 units in a time of 4 units, where the exact units would depend on the graph's axes' labels.

In go math books page 131, the point (4,60) typically represents a point on a graph or chart. In the context of a bicyclist traveling, the two numbers in the point likely stand for two different values or measurements. The first number '4' could represent time elapsed (for example, 4 hours or 4 minutes) and the second number '60' could possibly represent the corresponding distance traveled by the bicyclist (for example, 60 miles or 60 meters). Therefore, the point (4,60) could mean that the bicyclist traveled a distance of 60 units in a time of 4 units. The exact meanings of '4' and '60' would depend on the labels of the x-axis and y-axis of the graph.

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The point (4,60) likely represents that after 4 units of time, the bicyclist has traveled 60 units of distance. This is typically used to interpret motion on a distance-time graph in kinematics, which is a branch of physics.

In the context of a Go Math book, the point (4,60) on a graph usually represents two distinct pieces of information about an event or a scenario. For instance, if we're considering the motion of a bicyclist, the point (4,60) might represent that after 4 units of time (such as 4 minutes or 4 hours), the bicyclist has traveled 60 units of distance (such as 60 meters or 60 miles). However, without the specific context or the content of page 131, it's challenging to determine the exact meaning of the point.

In Figure 24.7, which describes the motion of a motorist, time is on the y-axis and distance on the x-axis, which is a common convention for distance-time graphs in motion problems. Therefore, if (4,60) were a point on such a graph, 4 would likely represent the time elapsed and 60 the distance traveled.

Understanding points on these graphs helps students to visualize and interpret different aspects of motion, such as speed, displacement, and acceleration, contributing greatly to their grasp of kinematics of physics

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Answer:

B. 3/4

Step-by-step explanation:

Care with these types of graphs as the values are 2 rather than one on each axis.

Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use [tex]\frac{RISE}{RUN}[/tex] .

To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.

Answer:

0.6, 0.7, 0.8, 0.9

Step-by-step explanation:

0.5 < x < 1

Answer:

It could be 0.5, 0.6, 0.7, 0.8, 0.9 depending if it is in the tenths

Answer:

105

Step-by-step explanation:

29 more than 76 can be written as:

76 + 29, which equals 105

Answer:

-0.4 if  the numerator is -2 and -2.5 if the numerator is 5

Step-by-step explanation:

Answer:

5 people

Step-by-step explanation:

This is a subtraction problem.

45 - 40 = 5

There are 45 people wanting to ride the carousel, but since it can hold only 40 people, 5 people will have to wait for the next ride.

This is a simple arithmetic problem. There are 45 people waiting in line and the carousel can hold 40 people. To find out how many people will need to wait for the next ride, we subtract the number of people the carousel can hold from the number of people waiting in line:

So, 5 people will need to wait for the next ride.

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Any measurement that can be used to measure area will have the word square or squared somewhere in the term, because you multiply two values to get the area. So the answers would be inches squared, and square yards. 

Simply meters and centimeters would be used for length; cubic feet would be used for volume because three values have to be used to find an object's volume.

Hope This Helps! :)

QuezoMartiinez :)

Answer:

Square centimeters and Square yards

Step-by-step explanation:

the area of any object has to be squared. for volume it would need to be cubed

Final answer:

There are 72 possible outcomes in the experiment.

Explanation:

The total number of outcomes for the experiment can be found by multiplying the number of outcomes for each event.

For the first event, rolling a six-sided number cube, there are 6 possible outcomes (numbers 1 to 6).

For the second event, flipping a coin, there are 2 possible outcomes (heads or tails).

For the third event, rolling a six-sided number cube again, there are 6 possible outcomes.

To find the total number of outcomes, multiply the number of outcomes for each event: 6 x 2 x 6 = 72.

Therefore, there are 72 possible outcomes in this experiment.

Answer:

12

Step-by-step explanation:

Answer:

zx would equal 19 as well

wt=4.5

wy=19

Step-by-step explanation:

this is easy speacily since i am in 8th grade lol

1x + 2y = (The answer/money spent)

The total cost that Rahmi spent can be represented by an equation c = j + 2t, with 'c' representing the total cost, 'j' the price of jeans, and 't' the price of a T-shirt. Actual costs can't be determined without specific prices.

To figure out how much Rahmi spent, let's set up an equation with the unknown quantities. Let's assume the cost of one pair of jeans is represented by 'j' and the cost of one T-shirt is represented by 't'. Since Rahmi bought 1 pair of jeans and 2 T-shirts, the total cost, 'c', can be represented as:

c = j + 2t

Unfortunately, without specific prices for the jeans and the T-shirts, we cannot calculate the exact total cost. However, this equation will help Rahmi to determine the cost once the prices are known.

The Ortega family has 11/16 pound of confetti left for next year's fiesta after using 1/4 pound this year.

The Ortega family started with 15/16 pound of confetti for the celebration. They used 1/4 pound of confetti for the fiesta eggs. To find out how much confetti they have left, we need to subtract the amount used from the total amount they made.

To subtract these fractions, they need to have the same denominator. The fractions already have the same denominator here, which makes it simpler. So, we subtract 1/4 from 15/16:

Therefore, the Ortega family has 11/16 pound of confetti left for the next year's celebration.

Answer:

d forms a proportion

Step-by-step explanation:

3x5=15,4×5=20

so they both increase protionally

therefore they are protional

The ratios that form a proportion out of the given options are: D. 3:4 and 15:20.

A proportion, in mathematics, can be defined as when two ratios are set equal to each other.

The ratios in option D is proportional, because:

3:4 = 15:20

3/4 = (3 × 5)/(4 × 5)

3/4 = 3/4

Therefore, the ratios that form a proportion out of the given options are: D. 3:4 and 15:20.

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Answer: 2 and 4

Step-by-step explanation: the quick way is by dividing all the answer options