Mathematics High School

3V3
х
60°
Find the values of x and y. Write your answers in simplest form.
X=
y=

3V360Find The Values Of X And Y. Write Your Answers In Simplest Form.X=y=

Answers

Answer 1

Answer:

X=3

y=6

Step-by-step explanation:

[tex]tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3[/tex]

-----------

[tex]sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6[/tex]

hope it helps...

have a great day!!

Related Questions

(7a-1)^2 please help me quickly

Answers

Answer:

14a-2

Step-by-step explanation:

Create and solve a 2 step equation where x = -3

Answers

Answer:

Equation:

x + 2 = -1

x = -1 - 2

x = 3

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)

Answers

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]

For sample 2:

[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]

Calculating the null and alternative hypotheses:

[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]  

Calculating the test statistic:

[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]

Calculating the conservative degrees of freedom:

[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]

by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].

[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]

A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water
bottle. Which of the following methods would work to create the larger water bottle with the intended volume?

1. Double the radius of the original water bottle. Keep the height the same.

II. Double the height of the original water bottle. Keep the radius the same.

III. Double the height and double the radius of the original water bottle

IV. Quadruple the height of the original water bottle. Keep the radius the same

o I and IV
O I and 11
O I, II, III, and IV
O III and IV

Answers

Answer:

option 3, double the height and with of original bottle

The methods which will create the larger water bottle with the intended volume is 1 and IV.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water bottle.

Volume of a cylindrical shape = π r² h

Let V be the original volume.

If radius is doubled, then the new volume is,

V' = π (2r)² h = 4(π r² h) = 4V

So 1 is an option.

When the height is Quadrupled,

V' = π r² 4h = 4(π r² h) = 4V

Hence the correct options are 1 and IV.

Learn more about Volume here :

https://brainly.com/question/16134180

#SPJ2

A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric probability that a model rocket falling randomly on the pad will land in the target?

Answers

Answer:

9.6%

Step-by-step explanation:

The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

To get the geometric probability, we must find the area of the rectangle.

Total outcomes = 20' × 25' = 500'

Total favourable outcomes =  6' × 8' = 48'

Probability = 48/500 = 0.096

= 0.096×100 = 9.6%

Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?

Answers

Answer:

Birds [tex]F_b=14.3\%[/tex]

Gerbils [tex]F_g=42.9\%[/tex]

Fish [tex]F_f=21.4\%[/tex]

Hamsters [tex]F_h=21.4\%[/tex]

Step-by-step explanation:

From the question we are told that:

Sales

Number of birds  [tex]n_b=2[/tex]

Number of gerbils  [tex]n_g=6[/tex]

Number of fish  [tex]n_f=3[/tex]

Number of hamsters  [tex]n_h=3[/tex]  

Generally the frequency for birds [tex]F_b[/tex] is mathematically given b

[tex]F_b=\frac{n_b}{n}*100[/tex]

[tex]F_b=\frac{2}{14}*100[/tex]

[tex]F_b=14.3\%[/tex]

Generally the frequency for Gerbils [tex]F_g[/tex] is mathematically given b

[tex]F_g=\frac{n_g}{n}*100[/tex]

[tex]F_g=\frac{6}{14}*100[/tex]

[tex]F_g=42.9\%[/tex]

Generally the frequency for fish [tex]F_f[/tex] is mathematically given b

[tex]F_f=\frac{n_f}{n}*100[/tex]

[tex]F_f=\frac{3}{14}*100[/tex]

[tex]F_f=21.4\%[/tex]

Generally the frequency for fish [tex]F_h[/tex] is mathematically given b

[tex]F_h=\frac{n_h}{n}*100[/tex]

[tex]F_h=\frac{3}{14}*100[/tex]

[tex]F_h=21.4\%[/tex]

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.

Answers

Answer:

(1/2,0) is one solution

(-4/3,0) is the other solution.

Step-by-step explanation:

i hope this helps you it might not be right

1/8 plus 1/4 equals.

Answers

Answer:

3/8

Step-by-step explanation

Please just use a calculator

Answer:

0.375

Step-by-step explanation:

Hey can someone tell me what -3x^2(14x^2-2x-8) equals

Answers

Answer:

-42x^4 + 6x^3 + 24x^2

Step-by-step explanation:

Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.
​

Answers

Answer:

1). 4.2    2). 7.65    3). 14.14

Step-by-step explanation:

1). √(y2 - y1)² + (x2 - x1)²

√[-1 - (-4)]² + [-3 - (-6)]²

√(3)² + (3)²

√9 + 9

√18

= 4.2

2). √(2.5 - 1)² + ( -4 - 3.5)²

√(1.5)² + (-7.5)²

√(2.25) + (56.25)

√58.5

= 7.65

3).√(5 - (-5)² + (-5-5)²

√(10)² + (-10)²

√(100) + (100)

√200

= 14.14

-4(y - 2) = 12

solve for y, thanks

Answers

Answer:

-1

Step-by-step explanation:

-4(y-2)=12

-4y+8=12

-4y=4

y= -1

-1
-4y+8=12
-8= -8
-4y=4
-1

why is the petrol price cheaper at coastal than inland

Answers

Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.

The petrol price is cheaper at coastal than inland due to the cost of transporting the petrol to inland. Deposits are found along the coast, so the price to transport the petrol is much cheaper than having to transport it all the way from the coast to inland. Therefore, transportation costs are the cause of petrol prices being cheaper at the coast than it is inland.

HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE

Answers

Answer:

1. False

2. True

3. True

Step-by-step explanation:

Robin, Ashley, Joy, and Christina collected 156 acorns to make fall decorations. Robin collected three times as many acorns as Ashley.Christina
has 12 more acorns than Robin. Ashley and Joy collected the same number of acorns.
How many acorns did Ashley collect?

PLEASE HELP

Answers

Answer:12

Step-by-step explanation:

In the triangle below, what is the measure of R?
8
8
309
P
A. 60°
B. 30°
C. 90°
D. 45°

Answers

Answer:

∠R = 30°

Step-by-step explanation:

Because QP = QR, it is an isosceles triangle. So ∠R = ∠P

Answer:

B. 30°

Step-by-step explanation:

Side QP and QR are equal which makes the angles equal as well


If each square in the following floor plan represents 2.5 feet, what are the dimensions of the living room?

Answers

Twinkle twinkle little star how I wonder what you are

2 + 1.25f = 10 - 2.75f

Answers

Answer:

F=2

Step-by-step explanation:

1.25f+2.75f=10-2

calculate like terms

4f=8

divide

F=2

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Find the slope of the yellow cab. Use the point (4,7), and coordinate for the y-intercept, to find the slope.

Answers

1 3/4 is the correct answer

sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account

Answers

Answer:

With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.

Step-by-step explanation:

I need help finding the slope

Answers

Answer:

0.75

Step-by-step explanation:

-3-1.5/-4-2

-4.5/-4-2

-4.5/-6

0.75

I need help!! Bill will spend at most $29 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? 

Answers

Answer:

$ is less than or equal to $16

Step-by-step explanation:

Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

What is the value of the flowers?

Answers

Answer:

24

Step-by-step explanation:

6*6=36

6+10=16

2*10=20

Flower=10-6+20=24

HELP HELP ASAP ASAP WILL MARK BRAINLIEST
PLEASE EASY POINTS

Answers

Answer:

Step-by-step explanation:

you need more information to be able to answer the question. Is there any other information they gave you?

i think you are right maybe but this is helpful sorry!

HELP ILL GIVE U THE BRAINLIEST

Answers

Answer:

(0, 3 )

Step-by-step explanation:

To find the y- intercept , substitute x = 0 into f(x), that is

f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]

      = 3 × 1

      = 3

y- intercept = (0, 3 )

The correct answers is (0,3)

Please help with question please please

Answers

Answer:

B. 55+70<750

Step-by-step explanation:

Please help and thank you

Answers

Answer:

D

Step-by-step explanation:

How much water will a cone hold that has a diameter of 6 inches and height of 21 inches. Use 3.15 pie and round your answer to the nearest whole number

Answers

Answer:

volume = 595 in³

Step-by-step explanation:

radius = 6/2 = 3

volume = 3.15(3²)(21) = 595.35 in³

What is the surface area of the rectangular pyramid

Answers

Answer:

88.8 cm square

Step-by-step explanation:

Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number

Answers

85/35 = 2.43% because that is the percent you would need to multiple by
Other Questions
A population of 60 foxes in a wildfire preserve doubles in size every 12 years. The function y = 60*2^x, where x is the number of 12-year periods, models the population growth. How many foxes will there be after 24 years? Hurry, I'll give you brainliest Many who have experienced mediation say that they have more control over the resolution. Which of the following statements best explains that sentiment?I thought I was 100 percent right, and mediation taught me that there are two sides and there are ways of solving disagreements.Mediation is confidential.Mediation also works in businesses, in commercial disputes, in neighborhood disagreements. It is great!Mediation is achieved by legal professionals that assist two or more persons to reach a settlement. Can someone help me with this. Will Mark brainliest. Which statement best describes how panting after running helps a person's body maintain homeostasis? EXPLAIN THE ANSWERA). It keeps the person's body warm when it is cold outside.B). It rids the body of harmful organisms in the respiratory tract.C). It brings more oxygen into the body to help meet increased energy needs.D). It signals the body to start exercising to prevent getting out of shape. Plz help, will give brainliest. Write an equation in point-slope form and slope-intercept form for each line1. passes through (1, 9), slope = 22. passes through (4, -1), slope = -3 question is in picture please help! PLSSS HELPPPPPPP CORRECT ANSWERS PLSSSS Serenity is going to invest $850 and leave it in an accountfor 5 years. Assuming the interest is compoundedannually, what interest rate, to the nearest hundredth of apercent, would be required in order for Serenity to end upwith $1,130? A rectangular hall is 55 feet long and 48 feet wide. How long is a walkway along the diagonal? Select the correct text in the passage.Select the appropriate guidelines to create and manage files in the passage given below. (In parentheses)Guidelines for organizing files and foldersFirst, (select a central location to organize all your files, folders, and sub-folders).Then double-click the folder or folders to identify which file you want to move. Now (use Windows Explorer to navigate and paste the file in therequired location).Effective file management helps reduce the stress of looking for files and saves you a lot of time. All file types have unique file extensions that helpyou (determine which program to use to open a particular file and to access its data.)If your computer crashes, all files and folders on the desktop are lost and it is often impossible to recover them. You should (maintain yourpersonal and professional files separately.) The file system on your computer already (keeps track of the date the file was created and modified,)Therefore, chronological sorting is not necessary.It is a great idea to (categorize your data into folders.) It is even better to (segregate them further into sub-folders.) If you maintain a list ofsub-folders under every main folder, you will be able to access all your tasks easily. For example, you could put your school subjects underdifferent sub-folders to organize your data efficiently on your computer.Any file you create and use should have a proper description. It is important to create accurate names for each file, especially if you have a largenumber of files in a folder, and you need to (select a single file to work on.) VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST. Mr. Frederick teaches 4 math classes. Which class period has the most students? Use the bar graph to answer the question. The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use.3 inch radius and 4 inch height4 inch radius and 4 inch height9 inch radius and 9 inch height4 inch diameter and 9 inch height6 inch diameter and 9 inch height9 inch diameter and 4 inch height What does this mean in modern language?Such has been the patient sufferance of these colonies; and such is now the necessity which constrains them to alter their former systems of government. The history of the present king of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute tyranny over these states. To prove this, let facts be submitted to a candid world. Help please Im a little confused "it is only through mystery and madness that the soul is revealed" anybody know the meaning to this quote?? (10 points)The diagrams below show some changes in anenvironment over time.(A)(B)(C)Which phrase best describes this sequence ofdiagrams?(1) the path of energy through a food web in anatural community(2) the altering of an ecosystem by a naturaldisaster(3) natural communities replacing each other inan orderly sequence(4) similarities between an aquatic ecosystemand a terrestrial ecosystem(D)r Select the correct answer.What is the domain of the function shown on the graph?A. - < x < B. x 2C. x 1D. -10 < x < 2 Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio.