Suppose that the endpoints of the hypotenuse of a 30-60-90 triangle are (4, -2) and (7,2). Find the lengths of the
two legs of the triangle.

Answers

Answer 1

Answer:

90-60-30=0/. 4-2=2 and 7-2=5


Related Questions

Consider two population distributions labeled A and B. Distribution A is highly skewed and nonnormal, while distribution B is slightly skewed and near normal. In order for the sampling distributions of A and B to achieve the same degree of normality: A. Population A will require a larger sample size. B. Population B will require a larger sample size. C. Populations A and B will require the same sample size. D. None of these.

Answers

Answer:

A. Population A will require a larger sample size.

Step-by-step explanation:

A highly skewed distribution shows that too much data is concentrated where it is highly skewed.

If the sample size in increased the data may not concentrate at the same point and the skewness is normal that is it is mesokurtic.

The normal curve called the mesokurtic is neither very peaked nor very flat topped.

Populations A and B cannot have the same sample size as there is difference in their skewness.

Therefore option C and D are incorrect.

Option B is also incorrect because if  B will require a larger sample size then the skewness may almost finish and the data may have the same concentration at all points.It will become flat topped i.e platy kurtic.

So only option A is correct.

In creasing the sample size will make the curve normal and mesokurtic.

He exponential model describes the​ population, A, of a country in​ millions, t years after 2003. Use the model to determine the population of the country in 2003. The population of the country in 2003 was nothing million.

Answers

Complete question :

The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?

Answer:

16.2 million

Step-by-step explanation:

Given the equation :

A=16.2e^0.01^t

Where, t = number of years after 2003

The population in year 2003 ; can be obtained thus ;

t = 2003 - 2003 = 0

Put t = 0 in the equation :

A(0) =16.2e^0.01^0

A(0) = 16.2 * 1

A(0) = 16.2

Hence, population in 2003 is 16.2 million

equation (in slope intercept form) of the line passing through the points (0,6) with a slope of 8 is .do not include the space in your answer​

Answers

Answer:

y=8x+6

Step-by-step explanation:

Which choice gives the solution of this inequality?
3t + 7 < 28

Answers

Answer:7

Step-by-step explanation:

t < 7 gives the solution of inequality 3t + 7 < 28

What is an equality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given inequality

3t + 7 < 28

⇒ 3t < 28 - 7

⇒ 3t < 21

⇒ t < [tex]\frac{21}{3}[/tex]

⇒ t < 7

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What’s the answer? Please help

Answers

Answer:

Adding

Step-by-step explanation:

When you are getting the given lengths you must add all of them up to get the perimeter.

Answer:

You add

Step-by-step explanation:

Part A: A bag of deflated balloons contains 5 red, 3 blue, 4 green, 4 yellow, 5 purple, and 4 white balloons. Create a probability model to show the probability of randomly selecting a balloon of each color. Part B: Verify that all possible outcomes are included in the probability model. Part C: Determine whether the probability model shows uniform or nonuniform probability.

Answers

Answer:

Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF

Larry practiced basketball 20 times in 5 weeks. His brother practiced basketball 12 times in 21 days. Are the rates at which each brother practiced equivalent? Explain your reasoning.

Answers

Answer:

No, they are not same

Step-by-step explanation:

20 times— 5 weeks

12 times— twenty one also 3 wks

20: 5

12: 3

not same

HELP PLEASE!! Which option is correct?!

Answers

Answer:

Step-by-step explanation:

C

Answer:

im pretty sure it is D

Step-by-step explanation:

please help with question 5

Answers

22 degrees

I might be wrong

If tara invites 6 friends. And each friend should get 5 cookies but there are 12 cookies how many more cookies does tara need.

Answers

Answer:

18

Step-by-step explanation:

6 friends times 5 cookies is 30 cookies in total

30 cookies minus 12 cookies already made is 18!

Answer: 18 cookies

Step-by-step explanation:

Tara invites 6 friends, each friend gets 5 cookies.

So, 6 x 5 to find how many cookies are for 6 friends.

6 x 5

= 30 cookies

Tara only has 12 cookies. How much more does she need?

Everyone should get 30 cookies, but there is only 12.

Subtract to find the difference!

30-12=18

The probability that a randomly selected student is on honor roll is 0.24 The probability that a randomly selected student is on the honor roll and takes an art class is 0.18 what is the probability that a randomly selected student takes an art class, given the student is on honor roll

Answers

Answer: 0.06

Step-by-step explanation: subtract them and you'll get your answer

The probability that a randomly selected student takes an art class, given the student is on honor roll is P ( A|B ) = 0.75

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

The conditional probability is given by

P(A|B) = P(A and B) / P(B)

where A and B are events.

In this case, let A be the event that a randomly selected student takes an art class, and let B be the event that the student is on honor roll.

The probability that a selected student is on honor roll P ( B ) = 0.24

The probability that a selected student is on honor roll and takes an art class P (A and B) = 0.18

Now ,  the probability that a randomly selected student takes an art class, given the student is on honor roll P(A|B) = P(A and B) / P(B)

P(A|B) = P(A and B) / P(B) = 0.18 / 0.24 = 0.75

Hence , the probability is 0.75 or 75%

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Please help ASAP!!
8(5x-3)-11(3x+7)=102
Please solve!

Answers

Answer:

x = 29

Step-by-step explanation:

8(5x-3)-11(3x+7)=102

40x - 24 - 33x - 77 = 102

7x - 101 = 102

7x = 203

x = 29

Answer:

X=29

Step-by-step explanation:

solve with work please

Answers

Answer:

150 yd

Step-by-step explanation:

Since the line segment is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{250}{375}[/tex] = [tex]\frac{x}{225}[/tex] ( x is the distance from the hole to the oak tree )

Cross- multiply

375x = 56250 ( divide both sides by 375 )

x = 150

The hole is 150 yards from the oak tree.

what is 1 1/3 times 1 3/4 T-T

Answers

Answer:

The answer is: 7/3 or if ya want it simplified ( 2 1/3)

~ hope this helped, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

2 and 1/3

Step-by-step explanation:

Ron used 24 cubes to make this 3-step staircase. If he uses a total of 84 cubes to make a similar staircase, how many steps will the staircase have? Think of using objects to solve this problem

Answers

I believe it’s about 28 because if Ron uses 24 cubes for 3 steps I would do 84 divided by 3 which I got 28

Solve


A. n = 12

B. n = -12

C. n = -3

D. n = 3

Answers

Answer:

n/3+2 =-2

n+6=-6

n=-12 is your answer

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{n}{3}[/tex] + 2 = - 2 ( subtract 2 from both sides )

[tex]\frac{n}{3}[/tex] = - 4 ( multiply both sides by 3 to clear the fraction )

n = - 12 → B

What two numbers is the square root of 41 between?
a 6 and 7
b 7 and 8
C
8 and 9
d 9 and 10

Answers

A. 6 and 7

Hope this helps, good luck!!!

What is the simplified form of the following expression? 3sqrt 4x/5

Answers

the answer is (∛(100x))/5 :))

Frankie drove 24 miles in 30 minutes. At this rate , how many miles did he drive
in 5 minutes?
A) 1.2 mi
B) 7.2 mi
c) 4 mi
D) 2 mi

Answers

Answer:

c) 4 miles

Step-by-step explanation:

30 mins / 5 mins = 6

24 miles / 6 = 4 miles

can someone help me answer this.

Answers

Answer:

C) H

Step-by-step explanation:

It can only be a function when every y has a different x. There cannot be an x with multiple y’s

Solve 7y^2+ 21 = 77, where Y is a real number. Round your answer to the nearest hundredth.​

Answers

When you do the algebra you get square root of 8. Put that into calculator and get 2.828

What is the quotient of the fractions below? 2/3 divided by 5/4

A. 5/6
B. 6/5
C. 15/8
D. 8/15
Hurryyy!!!

Answers

The quotient of the fractions 2/3 divided by 5/4 is 8/20

What is a fraction?

A fraction can be simply described as the part of a whole variable, number or element.

There are several types of fractions in mathematics, which includes;

Complex fractionsImproper fractionsProper fractionsMixed fractionsSimple fractions

What is quotient?

Quotient can simply be described as the product of division of two numbers or variables,

From the information given, we have;

2/3 ÷ 5/4

take the inverse of the divisor and multiply

2/3 × 4/5

Multiply the values

8/20

Hence, the value is 8/20

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Which of the following equations represents a line that is parallel to y 5x - 4
and passes through the point, (3, 4)?

Answers

Answer:

A, y=5x-11 is parallel to y=5x-4

Name two pairs of complementary angles

Answers

Answer:

AFB + BAF and CED + CDE

Step-by-step explanation:

complementary angles are two angles that add up to 90°

62 and 28 add up to 90

50 and 40 add up to 90

I need help please :)​

Answers

The answer is (c) ED

Mr. Charles bought dinner for his family.

The dinner cost $46.95.
He left a 15% tip.
About how much tip did Mr. Charles leave?

Answers

He pays $53.99 hope that help you

The Answer is $7.00 because 46.95 x 0.15 is 7.0425 which is about $7

Perimeter of this shape

Answers

Answer:

22 cm

Step-by-step explanation:

Simply count the number of square units of each side, then add them up. (each square unit = 1 cm)

4+4+2+3+2+7

= 22 cm

The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write 4Vy^3/Vy as a single radical? Explain.

Answers

Answer:

The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y

Step-by-step explanation:

Answer:

Step-by-step explanation:

The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y,

Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)

Answers

This is the answer where the red part is

Suppose that an individual has a body fat percentage of 13.6% and weighs 189 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.






HELPPPPPP!!!!!!!!!!

Answers

Answer:

25.7 lbs

Step-by-step explanation:

189/100=1.89

1.89*13.6=25.704

25.7 lbs

Answer:

25.7

Step-by-step explanation:

You need to do 13.6 percent of 189 which is 25.704 without rounding

Round that to the nearest tenth and you have 25.7

Hope I helped :)

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