The lengths of two sides of a right angled triangle are 20 cm and 30 cm.
Calculate the length of the third side, if it is:
(a) the hypotenuse
(b) not the hypotenuse

Answers

Answer 1

Answers:

Part (a)   10*sqrt(13) Part (b)   10*sqrt(5)

Those values are exact. They approximate to:

10*sqrt(13) = 36.0555

10*sqrt(5) = 22.3607

====================================================

Explanation:

Part (a)

If the unknown third side is the hypotenuse then we need to find the value of c when a = 20 and b = 30.

Apply the pythagorean theorem

a^2 + b^2 = c^2

20^2 + 30^2 = c^2

400 + 900 = c^2

1300 = c^2

c^2 = 1300

c = sqrt(1300)

c = sqrt(100*13)

c = sqrt(100)*sqrt(13)

c = 10*sqrt(13)  .... exact length

c = 36.0555 ...... approximate length

------------------------------------

Part (b)

If the third side is not the hypotenuse then that must mean c = 30 is the hypotenuse as this side is larger than the 20 cm side. The hypotenuse is always the longest side.

Let a = 20 be the known leg. Let's find the other unknown leg b using the pythagorean theorem.

a^2 + b^2 = c^2

20^2 + b^2 = 30^2

400 + b^2 = 900

b^2 = 900-400

b^2 = 500

b = sqrt(500)

b = sqrt(100*5)

b = sqrt(100)*sqrt(5)

b = 10*sqrt(5) ..... exact length

b = 22.3607 .......  approximate length


Related Questions

1) show the work please

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to find y intercept sub in 0 for x and solve for y
ANSWER (0, 8000)

OTHER ANSWER: always increasing
Exponential growth= when it is 1 or greater
Exponential Decay= when it’s 0 or less
So therefore here our base is 1.15 so it’s EXPONENTIAL GROWTH

There are two students Mark and John.
If John scored 1050 in his test and received 70% and Mark received twice as less as John, then what is the total marks and what did Mark receive in the test?

Answers

Answer:

35% and 525

Step-by-step explanation:

jake will spend $87.50 for a new baseball glove. He has $75.23 in the account linked to his debit card. the bank charges a $9 pentalty fee, per day, for using his debit card to make a purchase if he doesn't have enough funds in his account. what will he pay altogether if he chooses to use his debit card and doesn't put any more money in his account for 9 days

Answers

Answer:

88.31 is you anwser

Step-by-step explanation:

Answer:

the answer is $168.50

Step-by-step explanation:

he will spend $87.50 on the glove and they will charge him 9 dollars for nine days adding up to $81.00 so in total it will add up to 168.50

3.1-r pls answer thx

Answers

Answer:

-r+3.1

Step-by-step explanation:

the variable always goes first

Answer:

-r+3.1

Step-by-step explanation:

Valuables always go first in these equations

Write the algebraic expression that matches each graph:

Answers

Answer:

y = -1x

Step-by-step explanation:

Since the y-value decreases at the same rate as the x-value and has a negative slope, the expression that properly answers this question is y = -1x. Another thing taken into consideration is the y-intercept, which is zero, so you don't need to add anything to the initial equation.

Y = -1X I’m pretty sure... hope that helped

Pleeeeez help thank you

Answers

Answer:

C

Step-by-step explanation:

The book at store A is $13.

5% tax means you pay 5 cents extra per dollar.

13*5= 65.

So so far your total is $13.65

The shipping fee is $3

$3+$13.65= $16.65

The book at store B is 15% off, with no extra charge

%15 of $19 is 2.85.

19-2.85 is 16.15

pls brainliest

i rushed at the end

C^^^^^^^^ yup it’s c

help me pls dont waste my points lol

Answers

Every square has 4 toothpicks. Two squares would be a total of 8 toothpicks. 3 squares is 12 toothpicks, 4 squares is 16 toothpicks, and 5 squares is 20 toothpicks.

Just under 44 squares would equal 175 toothpicks.

ANSWER:

# Toothpicks. # squares

8. 2

12. 3

16. 4

20. 5

Please help me on this, It's urgent!!- :')

Answers

Answer:

See explanation below.

Step-by-step explanation:

#1 Question 2:

Two plants were 5-6 inches at the end of the experiment.

#2 Question 1:

The graph peaks at 6-8 number of games

#2 Question 2

12 students are represented in the histogram

(I'm not sure what the anwser would be for #1 Question 1!)

The revenue each season from tickets at the theme part is represented by t(x) = 3x. The cost to pay the employees each season is represented by r(x) = (1.25)^x. Examine the graph of the combined function for total profit and estimate the profit after five seasons.
The graph will be on the bottom!
Answers:
A) 2
B) 5
C) 12
D) 18

I will give Brainliest for the Correct Answer!

Answers

Answer:

c or b

Step-by-step explanation:

Need help! 20 points!
No links please

Answers

Answer:

480 in3

Step-by-step explanation:

So the first thing I looked at was how to find the volume of a 3-dimensional square. Why do we have to do this? Well, we can see that the shape is made up of 3 different types of 3-dimensional cubes so to find the answer all we have to do is figure out the volume for each separate cube and add them all together.

So, to find the volume of a cube we have to multiply the area (length x width) by the height of each cube.

Let's start with the largest cube so we would multiply 5 x 12 x 4 which equals v = 240

Now let us do the second to largest by multiplying 8 x 5 x 4 = which equals    v = 160

Finally, on to the smallest cube, 4 x 4 x 5 =

v = 80

So now if we add 240 + 160 + 80 that will give us 480

So the answer is 480 in3

Hope this is correct I was a little confused while I was figuring it out :0 Sorry if it is wrong :(

Please answer all questions

Answers

Tank A that’s all I know

Find 3 pairs that satisfy the function: y = -2x

Answers

Answer:

(-1,0) (-2, 4)( -3,6) -4,8)Step-by-step explanation:

HELP ME IT IS DUE TODAY AND NO LINKS.

Answers

Answer:

what dis

Step-by-step explanation:

Answer:

City Y.

Step-by-step explanation:

City Y is correct because there is a larger amount of varying temperatures there.

Please can someone help I will mark brainlest for the right answers

Answers

Answer: 4 is 3 5 is 8 6 is 15 and 7 is 24

Step-by-step explanation: i am not sure if this is math but yeah just do 20% of each number

4. .0075
5. 0.02
6. 0.0375
7. 0.06

Please Help!
Use the fact that √7 is a solution to the equation x² = 7 to find a decimal approximation of √7 whose square is between 6.9 and 7.1

Answers

Wouldn’t it be 49? I’m not 100% sure because the question is a little confusing. I just found it by squaring seven because the square root of 49 is 7, and 7 is right between 6.9 and 7.1. Sorry if I’m wrong :)

The decimal whose square is 7.0008 is  2.6459.

What is a decimal ?

A decimal separates the whole part and the fractional part of a given number.A decimal can also be represented as a fraction.

According to the given question √7 is a solution to the equation x² = 7.

The decimal approximation of √7 is 2.6458.

Now to find the decimal approximation of √7 whose square is between 6.9 and 7.1 we will take some value which is just more than 2.6458.

Lets take 2.6459 by squaring it we get 7.0008 which is in between 6.9 and 7.1.

learn more about decimal here :

https://brainly.com/question/548650

#SPJ2

I need help please and I need it fast

Answers

Answer:

x 4

Step-by-step explanation:

Step-by-step explanation:

the answer is C because you can multiply all of them by 4 to make the next number

An arrangement of objects where order is not important is a ____.
a. combination
b. permutation

Answers

Permutations I think is correct
Permutations is the answer ..

NEED HELP ASAP!!! The probability that Jenna receives spam email is 4 percent. She receives 520 emails in a week and predicts that she will receive 23 spam emails. Do you agree with her prediction? Is her claim accurate? Explain your reasoning.

Answers

Answer:

no if we do the math then you will need to do 520÷10=52 the do 52÷10=5.2. now we need to do 5.2x4which is 20.8. but since you cant se .8 of an e-mail we will say just 20 spam emails. i hope this helps! have a nice day and good luck on your test!

Step-by-step explanation:

No the math is simple

Suppose you have;

g=4z+14

z=4x-42^2

what is g in terms of x

Answers

g= -16x^2 +16x + 14 (going based on the picture, not your typing)

First solve the first equation for z:
g-14=4z
(g-14)/4=z

Then plug that in for z in the second equation and solve for g:
(g-14)/4 = 4x-4x^2
g-14=16x-16x^2

g= -16x^2 +16x + 14

How many four-digit numbers can be created using the digits 0-9? Note: A number cannot be repeated for different digits.

10,000
5,040
3,024
6,561

Answers

6,561 is the right answer but good luck

5,040 four-digit numbers can be created using the digits (0-9).

Option B is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

There are 10 options for the first digit (0-9).

9 options for the second digit (since one digit is already used).

8 options for the third digit.

7 options for the fourth digit.

Therefore,

The total number of four-digit numbers that can be created is:

10 x 9 x 8 x 7 = 5,040

Thus,

5,040 four-digit numbers can be created using the digits (0-9).

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Pls help! ASAP!
Which word best describes the degree of overlap between the two data sets?

none

moderate

high

low

Answers

Answer:

I think the answer would be high.

Step-by-step explanation:

You can see how the X on the bottom is (13) it's one less than the X on the top. So my reasoning is since there are fewer differences b/w the two sets, there are more vaiables overlapping.

It’s high girlie!!! <3333333333333

WILL GIVE BRAINLEIST TO WHOEVER ANSWERS CORRECTLY

Answers

Answer:

Option 3

Step-by-step explanation:

Multiplying the x^2 always causes the opening on the parabola to get thinner. If you multiply it by a number less than 1 it will make it wider.

(3) I think I’m not that good at math but I believe it’s opinion 3

What are the value of x, y, and z, respectively?

Answers

Answer:

y = 107 x = 73 and z = 73 degrees

Step-by-step explanation:

All of the angles have to equal 360 when added together and y has to correspond to 107 then those add to 214 then you subtract that from 360 to get 146 then you split that in half to get the x and z

Answer:

x = 73, y = 107, z = 73

Step-by-step explanation:

y has a vertical angle so y = 107°

z° and x° are also vertical angles so z° = x°

To find z and x find the angle adjacent to 107°

180° - 107° = 73°

x = 73, z = 73

Kinda need help in this one.

Answers

Answer:

0.45 liters evaporated

Step-by-step explanation:

1.5 × 0.30 to find the amount that evaporated

The 0.30 comes from the 30 percent that evaporated

The answer should be 0.45

Calculate the approximate area of the shape to the nearest cm2.

Answers

This is very simple. So you use two formulas:

Rectangle: Length • Width

Semicircle: Area = [tex]\frac{\pi r^2}{2}[/tex]

With that, you do 0.8 ÷ 2 = 0.4 because we will be using radius. When solved, you get 0.2512... But for this problem, I will be rounding everything to the nearest hundredths.

Area of semicircle: ≈ 0.25

Now we solve for the rectangle. That is very easy. Just multiply 0.75 • 0.8 and you get 0.6

For this problem, I'm not sure why they make you round to the nearest centimeter, but if you do, you get 1 cm. Otherwise,

Round to nearest tenth: 0.9

Round to nearest hundredths: 0.85

Help! This is prob an easy question since it’s for Hunter prep, but I have no idea how to do it. If you could answer, that would be nice. Thanks! :)

Answers

Answer: I think it would be option E

Step-by-step explanation:

If my answer helps u plz add me as brainliest.

Find the surface area of this rectangular prism

Answers

Answer:

D=102

Step-by-step explanation:

9+9=18

21x4=84

84+18=102

Answer:

D. 102 Square Unites

Step-by-step explanation:

First you do 7 x 3 to get 21

Then you do 21 x 4 to get 84

After that you do 3 x 3 to get 9

Finally you take 9 x 2 to get 18 and add that to 84 to get 102 Units

please help ASAP will give brainliest

Answers

Answer:2,5

Step-by-step explanation:

5,7 is where the park is so if you back trace and go left 3 and down 2 then you will get to the house

Evaluate the expression: 4 - 9

Answers

Answer:

-5

9-4=5,

insufficient amount makes it negative,

therefore -5

4-9=-5
this is because when subtracting a larger number from a smaller you usually get a negative number

BRAINLIEST GUARANTEED!!! TO WHOEVER SHOWS THEIR WORK

Answers

Answer:

C

I

Step-by-step explanation:

Two angles are complementary if their angles add up to 90

this is the case for 3

Two angles are supplentary if their angles add up to 180

5x+95=180

5x=85

x=17

The answer is
C and I
You got this!
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