In a 30 degree, 60 degree, 90 degree triangle shortest side is 9. Find the lengths of the other sides

Answers

Answer 1

Answer:

To find the second-shortest side we'll multiply 9 by √3 which is 9√3 and for the hypotenuse we'll do 9 * 2 = 18.


Related Questions

laura quiere cubrir con papel china una puesta como la que se muestran el dibujo cuánto centímetros cuadrados tendrá que cubrir con papeles llena ​

Answers

Answer:

El área a cubrir es de 4800 cm^2.

Step-by-step explanation:

La pregunta está incompleta:

Laura quiere cubrir con papel de china una puerta como la que se muestra en el dibujo cuánto es centímetros cuadrados. Las medidas son 80 cm de largo y 60 cm de ancho.

Tenemos que calcular el área que representa la puerta, cuyos lados son 80 cm y 60 cm.

El área A se calcula multiplicando ambos lados:

[tex]A=80\,cm\cdot60\,cm=4800\,cm^2[/tex]

how do you find the zero(s) of a polynomial function​

Answers

Answer:

by using the quadratic formula

Step-by-step explanation:

negative b plus or minus the square root of b squared minus 4ac, then all divided by 2a

EASY question will rate brainliest no explanation neccesary

Answers

Answer: choice A

Step-by-step explanation:

the shaded parts add up to 4wholes and 1/4

or 17/4=4 1/4

the answer to your question is 4 1/4

For the polynomial below, what is the coefficient of the term with the power of 3?

A.0
B.1
C.6
D.5

Answers

Answer:

Option B

Step-by-step explanation:

x^3

Coefficient = 1

Option B

Answer:

B = 1

Step-by-step explanation:

this is becus we don't write 1 as a coefficient it's there but in an invisible form

anyone who make the one visible is considered an amateur

Write a sine function that has a midline of 2, an amplitude of 4 and a period of 11.

Answers

Answer:

y = 4 sin(2π/11 x) + 2

Step-by-step explanation:

y = A sin(2π/T x + B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the midline.

A = 4, T = 11, and C = 2.  We'll assume B = 0.

y = 4 sin(2π/11 x) + 2

The sine function with the desired characteristics is given by:

[tex]y = 2\sin{\left(\frac{2\pi}{11}\right)} + 2[/tex]

The standard sine function is given by:

[tex]y = A\sin{Bx} + C[/tex]

The amplitude is 2A.The period is [tex]\frac{2\pi}{B}[/tex].The midline is C.

In this problem:

Midline of 2, thus [tex]C = 2[/tex].Amplitude of 4, thus [tex]2A = 4 \rightarrow A = 2[/tex].Period of 11, thus [tex]\frac{2\pi}{B} = 11 \rightarrow B = \frac{2\pi}{11}[/tex]

Then, the equation for the sine function is:

[tex]y = 2\sin{\left(\frac{2\pi}{11}\right)} + 2[/tex]

A similar problem is given at https://brainly.com/question/18055768

The graph of a linear function is a _______

Answers



Linear equations in the coordinate plane. A linear equation is an equation with two variables whose graph is a line. The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation.

The graph of a linear function is a straight line.

15 less than three times the width 3

its the answer 3w-15?

Answers

Answer:

Yes, the answer is 3w-15

Step-by-step explanation:

-15 (fifteen less than)

3w (three times the width)

Simplify the expression. (-3 + 6i)(-3 + 5i)

Answers

Answer:

11i-6

Step-by-step explanation:

Answer:

11i-6

Step-by-step explanation:

(-3+6i)(-3+5i)

combine like terms (-3)+(-3)=-6

6i+5i=11i

Need help ASAP please

Answers

Answer:

r = l / π/180× θ

11.6 cm

Step-by-step explanation:

l = π/180 × r × θ

r = l / π/180× θ

r = 12.5 / π/180× 62

r = 11.55156845

I need HELP! is the missing value 25?

Answers

Answer: choice3) 25

Step-by-step explanation:

The constant ratio of y/x is 2.5

so if the x value is 10 the y value would be 25(10*2.5).

A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 6.2 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 164 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)?Group of answer choices

Answers

Answer:

3.8% , unusual

Step-by-step explanation:

We have that the mean is 175 degrees (m) and the standard deviation is 6.2 degrees (sd), so we are asked:

P (x <164)

P ((x - m) / sd <(164 -175) /6.2)

P (z <- 1.77)

If we look in the normal distribution table we have to:

P (x <164) = 0.0384

That is, the probability is 3.8%

Unusual is when the probability is less than 5%, that is to say in this case if it can be said that an unusual data.

Please help! Correct answer only, please! Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D.

Answers

Answer:  C

Step-by-step explanation:

Multiply the number outside of the matrix to EVERY value inside that matrix.

Addition and subtraction of matrices is very simple - just add (or subtract) the values of each matrix that have the same designation.

[tex]X\left[\begin{array}{cc}a&b\\c&d\end{array}\right] +Y\left[\begin{array}{cc}e&f\\g&h\end{array}\right]=\left[\begin{array}{cc}X(a)+Y(e)&X(b)+Y(f)\\X(c)+Y(g)&X(d)+Y(h)\end{array}\right]\\\\\\\\\\-3\left[\begin{array}{cc}2&7\\8&-6\end{array}\right] +2\left[\begin{array}{cc}0&1\\4&-2\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(2)+2(0)&-3(7)+2(1)\\-3(8)+2(4)&-3(-6)+2(-2)\end{array}\right] \\\\\\=\left[\begin{array}{cc}-6&-19\\-16&14\end{array}\right][/tex]

a boat operator in a boat can travel 15m/sec in still water he tries to cross a river which is flowing at 5 m/sec south. A) what is the resultant velocity of the boat? B) The takes exactly 55 seconds to cross the river in the resulting velocity, how many meters did the boat travel?

Answers

Answer:

a) 15.8 ms-1

b)869 m

Step-by-step explanation:

We have to obtain the resultant velocity by the Pythagorean theory;

R^2= V1^2 + V2^2

Where

R= resultant velocity of the boat

V1= velocity of the boat

V2= velocity of the flowing river

Thus;

R= √V1^2 + V2^2

R= √15^2 + 5^2

R= √225 + 25

R= √250

R= 15.8 ms-1

B) from

v= s/t

Where

v= velocity (resultant velocity in this case)

s= distance

t= time (55 secs)

s= vt

s= 15.8×55

s= 869 m

Robin read somewhere that adding salt to water while heating it will raise the temperature of

the water causing it to boil faster. To test this claim, she filled 30 identical pots with one quart

of water. She randomly selected 15 of the pots and added 1 teaspoon of salt. She then placed

each pot on identical burners set to the highest setting. She measured the water temperature

In each pot after 5 minutes.

Is Robin's research method an example of an observational study experiment, or

simulation?

b

If Robin does find that there is a difference between the water temperatures in the pots

with salt compared to those without can she conclude that the salt caused the

difference in temperature?

Answers

Answer:

a. An experiment

b. No

Step-by-step explanation:

a. Robin's research method can be concluded to be an experiment because she has a testable group (pots of water with salt) and a control group (pots of water without salt).

2. Based on this alone, she cannot conclude that the salt caused the

difference in temperature because she has not set some appropriate conditions which are to be met for this test.

Minimize
z = 20x1 + 32x2 + 40x3,
subject to
3x1 + x2 + 6x3 ≥ 9
x1 + x2 ≥ 9
4x2 + x3 ≥ 12
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

solve for x1, x2, x3 and z

Answers

Answer:

Step-by-step explanation:

1. constraints with "[tex]\geq[/tex]" we should subtract surplus variable S1, S2, S3 and add artificial variable A1, A2, A3

Hence Z = 20 x1 + 32x2 + 40x3 + 0S1 + 0S2 + 0S3 + MA1 + MA2 + MA3

subject to

[tex]3x_1 +x_2+6x_3-S_1+A_1=9[/tex]

[tex]x_1+x_2-S_2+A_2=9[/tex]

[tex]4x_2+x_3-S_3+A_3=12[/tex]

and [tex]x_1,x_2,x_3,S_1,S_2,S_3,A_1,A_2,A_3\geq 0[/tex]

Discover the area of a circle with a diameter of 17 feet ?

Answers

Answer: A≈226.98 ft²

Step-by-step explanation:

The formula for area of a circle is A=πr². The formula doesn't include diameter , but we can certainly find the radius from the diameter.

d=2r

17=2r

r=17/2=8.5 ft

Now that we have the radius, we can plug it in to area formula.

A=πr²

A=π(8.5ft)²

A=π72.25ft²

A≈226.98 ft²

Area of a circle: A = πr²

Get the radius by dividing the diameter by 2.

17 / 2 = 8.5

Now, solve with the given values.

A = π(8.5)²

A = 72.25π

A = 226.865

Therefore, the area is 226.865ft³

Best of Luck!

If your good at maths help me

Answers

Answer:

6n+1

Step-by-step explanation:

first term=13-6=7

nth term=7+(n-1)6=7+6n-6=6n+1

Answer:

aₙ= 6n +1

Step-by-step explanation:

Second term a₂= 13

Common difference d= 6

Then first term

a₁= 13 -6= 7

nth term:

aₙ= a₁ + (n-1)daₙ= 7 + (n-1)*6= 7+6n -6 = 6n +1aₙ= 6n +1

Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming election. They conduct a random phone poll, where they contact 150 individuals and ask them whether or not they plan on voting for the levy. Of these 150 respondents, 78 people say they plan on voting for the levy. The school board wants to determine whether or not the data supports the idea that more than 50% of people plan on voting for the levy. Conduct a hypothesis test at the 0.10 significance level to test this claim.

Answers

Answer:

There is not enough evidence to conclude that the data supports the idea that more than 50% of people plan on voting for the levy

Step-by-step explanation:

Sample size, n = 150

Number of people that plan on voting for the levy, X = 78

Proportion of people that plan on voting for the levy:

[tex]\bar{p} = X/n\\\bar{p} = 78/150\\\bar{p} = 0.52[/tex]

The study is to determine whether or not the data supports the idea that more than 50%(0.5) of people plan on voting for the levy

The null and alternative hypotheses are:

[tex]H_0: p \leq 0.5\\H_a: p > 0.5[/tex]

Calculate the test statistics:

[tex]t_s = \frac{\bar{p} - p}{\sqrt{\frac{p(1-p)}{n} } } \\t_s = \frac{0.52-0.5}{\sqrt{\frac{0.5(1-0.5)}{150} } } \\t_s = 0.49[/tex]

For a test statistic [tex]t_s = 0.49[/tex], the p-value = 0.3121

The significance value, [tex]\alpha = 0.10[/tex]

Since the p-value(0.3121) is greater than α(0.10), the null hypothesis [tex]H_0[/tex] will be accepted.

This means that there is not enough evidence to conclude that the data supports the idea that more than 50% of people plan on voting for the levy

18x-5x=13+20 what is the answer

Answers

Answer:

3.3

Step-by-step explanation:

18x-5x=13+20

13x=33

x=2.5

The beginning balance on a monthly bank statement for ignatius checking account was $124.82, and the ending balance was $659.27. What can be said about Ignatius transactions for the month

Answers

Answer:

He had 534.45 more in credits that debits

Step-by-step explanation:

Ignatius hd $534.45 more in credits than in debits. Since Ignatius had an initial balance of $124.82 at the beginning of the month and ended the month with $659.27 he was up money versus what he had in his account at the beginning of the month. During the month Ignatius made money that was credited to his account so that he ended it with a higher balance. 

How do you solve this problem? population proportion is to be estimated from a sample of 400 with a sample proportion of 0.1. Approximate the​ 95% confidence interval of the population proportion

Answers

Answer:

(0.0706, 0.1294)

Step-by-step explanation:

Confidence interval of a proportion is:

CI = p ± CV × SE

where p is the proportion,

CV is the critical value (z score or t score),

and SE is the standard error.

The sample is large enough to estimate as normal.  For 95% confidence level, CV = z = 1.96.

Standard error for a proportion is:

SE = √(pq/n)

SE = √(0.1 × 0.9 / 400)

SE = 0.015

The confidence interval is:

CI = 0.1 ± (1.96)(0.015)

CI = (0.0706, 0.1294)

Round as needed.

Complete the following subtraction exercises.
10 – 2 =
14 – 6 =
15 – 9 =
17 – 8 =
13 – 5 =
11 – 8 =
20 – 8 =
16 – 7 =
12 – 9 =
21 – 9 =
11 – 6 =
5 – 5 =
4 – 0 =
16 – 8 =
10 – 5 =
18 – 7 =
13 – 8 =
12 – 4 =

Answers

8,8,6,9,8,3,12,9,3,12,5,0,4,8,5,9,5,8 these are the answers in a series

Answer:

Below

Step-by-step explanation:

8,8,6,9,8,3,12,9,3,12,5,0,4,8,5,11,5,8. Answers are in order from the first to the last

Round 5 to the nearest ten.Enter your answer in the box below.

Answers

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]05[/tex]

If the units place is higher than 5, then add 1 to the tens place.

Brian flips a fair coin 3 times. What is the probability of getting exactly 2 tails?

Answers

Answer:

3/8

Step-by-step explanation:

The possible outcomes

TTT TTH THT THH  HHH HHT HTH HTT  = 8 outcomes

There are TTH THT HTT  3 with exactly two tails

P ( exactly 2 tails) = 3/8

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The outcomes you are looking for are either HTT, THT, or TTH.

The possibility to toss tails or heads is 0.5. Thus the possibility to throw T and then H and then H is:

[tex]\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8}[/tex]

We have three ways of getting 2 tails, the possibility of throwing exactly two tails in three tosses is:

[tex]\frac{1}{8} + \frac{1}{8} + \frac{1}{8} = \frac{3}{8}[/tex]

0.375 is the probability of getting exactly 2 tails in 3 tosses.

{0 tails}={HHH}

{1 tails}={TTH, THT, HTT}

{2 tails}={HTT, TTH, THT}

{3 tails}={TTT}

There are 3 cases with getting two tails out of 8 possible outcomes.

Sean wants to buy a personal insurance policy that will pay monthly benefits to his son after Sean dies. He pays $500
monthly over the next 10 years to the insurer.
What type of insurance should he buy?

A annuity
B premium
C dividends
D liability

Answers

Answer:

B.

Step-by-step explanation:

Premium insurance is an insurance amount paid to the insurer periodically. In this type of insurance, the insurer is required to provide coverage. This insurance policy covers healthcare, life, auto, home, etc. In this insurance, one is required to pay a certain amount of money on monthly, quarterly, or annually basis.

In the given scenario, Sean should buy premium insurance as it covers life and healthcare insurance as well. He can pay $500 on monthly basis to the insurance company. And after Sean's death, his son can claim the amount.

So, the correct answer is option B.

Answer:

A. annuity

Step-by-step explanation:

I know it is a little late for this answer, but I thought I would add it for anyone else who is struggling :) I know it is annuity because I literally just took the test and got it right.

A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1, the player wins nothing. If there is a $1 charge to play the game, what is the game’s expected value?

Answers

Answer:

1/5

Step-by-step explanation:

i had a similar question

For each roll you start with paying 2 dollars and you only with 10 dollars one out of 6 rolls (on average). 

So the cost for one play is 2 dollars and your win is 10/6. 

Value is -2+10/6=-1/3 dollars

So you lose 1/3 dollars on average with each game

since you have no limited rolls u put 1/5

this from another question but both same just different numbers

Use the given data to construct a box plot and identify the 5-number summary. Eleven different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings (mmHg) are listed below.
{ 130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150 }

Answers

Answer:

[tex] Min =120, Max= 150[/tex]

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

[tex] Q_1 = \frac{140+120}{2}=130[/tex]

The median is the value in the 6th position from the dataset ordered and we got:

[tex] Median= 135[/tex]

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

[tex] Q_3 = \frac{140+143}{2}=141.5[/tex]

The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

Step-by-step explanation:

We have the following data given:

130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150

If we sort the values on increasing order we got:

120 130 130 130 130 135 140 140 143 144 150

The minimum and maximum are:

[tex] Min =120, Max= 150[/tex]

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

[tex] Q_1 = \frac{140+120}{2}=130[/tex]

The median is the value in the 6th position from the dataset ordered and we got:

[tex] Median= 135[/tex]

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

[tex] Q_3 = \frac{140+143}{2}=141.5[/tex]

The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

Solve the system of equations. \begin{aligned} & -9x+4y = 6 \\\\ & 9x+5y=-33 \end{aligned} ​ −9x+4y=6 9x+5y=−33 ​

Answers

Answer:

x = -2

y = -3

Step-by-step explanation:

We can use either substitution or elimination for this problem. I will use elimination to solve this problem:

Step 1: Eliminate x by adding the 2 equations together

9y = -27

y = -3

Step 2: Plug in y into one of the original equations to get x

-9x + 4(-3) = 6

-9x -12 = 6

-9x = 18

x = 2

And we have our final answers!

In an aquarium, there are 4 large fish and 16 small fish. Half of the small fish are blue. One fish is selected at random. Find the probability that it is a small, blue fish. Write your answer as a fraction in simplest form.

Answers

Answer:

2/5

Step-by-step explanation:

There are 20 fish, 8 of which are small and blue.  Therefore, the probability of randomly selecting a small blue fish is 8/20 = 2/5.

find the slope of the line that passes through the points (5,1) and (-4,1)

Answers

Answer:

B. 0

Step-by-step explanation:

To find slope, use [tex]m = \frac{y2 - y1}{x2 - x1}[/tex] to find m in y = mx + b. Your m is always your slope.

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