a) in a right-angled triangle, if hypotenuse is 20 cm and the
ratio of the other two sides is 4:3, find the sides.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Ratio = 4 :3

Other two sides = 4x , 3x

Pythagorean theorem

(4x)²  + (3x)² = 20²

16x² + 9x²  = 400

          25x² = 400

             x² = 400 ÷ 25

            x²  = 16

             x = √16

x = 4 cm

4x = 4*4 = 16

3x = 3*4 = 12

Sides = 16cm  , 12 cm


Related Questions

can u pls help me i need help​

Answers

im on that to, maybe i can try and help you !!

Three numbers A, B and C are in the ratio 7: 2: 4. The sum of the three numbers is 104. What is the number C?

Answers

Answer:

C = 32

Step-by-step explanation:

The numbers are in the ratio 7 : 2 : 4 = 7x : 2x : 4x ( x is a multiplier ) , then

7x + 2x + 4x = 104

13x = 104 ( divide both sides by 13 )

x = 8

Thus C = 4x = 4 × 8 = 32

Solve for x!!! Please show all work!!!!!!!

Answers

I would use photo math it shows you step by step

can someone please tell me the slope

Answers

Answer:

1/3 or 0.333 repeat

Step-by-step explanation:

slope or rise over run

for almost every choice you make in the game you'll need to choose between using your debit card and credit card. to continue enter the day of month when your credit card statement will be issued! enter amount:
floridasms game

Answers

Scooby dooby doo where are you?

Answer: 19

Step-by-step explanation:

Halla la ecuación de la circunferencia con r=10 y cuyo centro es el punto medio que une los puntos del segmanto A=(-7,-6) B(3,14). Escribe la ecuación en la forma ordinaria.

Answers

Responder:

(x + 2) ² + (y-4) ² = 100

Explicación paso a paso:

La ecuación de un círculo se expresa como (x-x0) ² + (y-y0) ² = r²

r es el radio

(x0, y0) es el centro

Dado que el centro representa el punto medio de (-7, -6) y (3,14)

x0 = -7 + 3/2

x0 = -4/2

x0 = -2

y0 = -6 + 14/2

y0 = 8/2

y0 = 4

Sustituir en la expresión

(x - (- 2)) ² + (y-4) ² = 10²

(x + 2) ² + (y-4) ² = 100

Por lo tanto, la ecuación requerida del círculo es (x + 2) ² + (y-4) ² = 100

6 times a number is 27 less then the square of that number find the positive soloution

Answers

Answer:

9

Step-by-step explanation:

n2-27=6n

Than n (exponet) 2 - 27 - 6n = 0

Now factor (n-9)(n+3)=0

helppppp! :) i have no clue what to do thank you

Answers

6x + 2y ≤ -46

2y ≤ -46 - 6x

y ≤ -46/2 - 6x/2


y ≤ -23 - 3x

Option C

jessy took out a loan of $16,500 over 5 years at 4.2% interest to purchase a new car. how much will she pay in interest on the loan. A)$693 B)$3,465 C)$34,650

Answers

Answer:

B

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year,

then, solving our equation

I = 16500 × 0.042 × 5 = 3465

I = $ 3,465.00

The simple interest accumulated

on a principal of $ 16,500.00

at a rate of 4.2% per year

for 5 years is $ 3,465.00.

ANSWER THIS PLZZZZZZ

Answers

Answer:

B:14

Step-by-step explanation:

Solve each system using substitution. Check your answer
x+3=y
3x+4y=7

Answers

Answer:

x = -5/7

y = 16/7

Step-by-step explanation:

3x + 4y = 7

3x + 4(x+3) = 7

3x + 4(x) + 4(3) = 7

3x + 4x + 12 = 7

7x + 12 = 7

7x + 12 - 12 = 7 - 12

7x = -5

7x ÷ 7 = -5 ÷ 7

x = -5/7

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

x + 3 = y

(-5/7) + 3 = y

16/7 = y

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

3x + 4y = 7

3(-5/7) + 4(16/7) = 7

-15/7 + 64/7 = 7

7 = 7

The required value of the x and y by substitution method is -5/7 and 16/7 respectively.

Given,
System of equation
x+3=y
3x+4y=7

To solve using the substitution method.

What is the equation?

The equation is the values of two functions  that are equal.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

x + 3 = y - - - - -(1)
3x + 4y = 7 - - - -(2)

from equation 1 substitute y in equation 2

3x + 4( x +3 ) = 7
3x + 4x + 12 = 7
7x = 7 - 12
7x = -5
x = -5/7
put this x on equation 1
-5/7 +3 = y
y = 16/7

Thus the required value of the x and y by substitution is -5/7 and 16/7 respectively.

Learn more about equation here:
https://brainly.com/question/10413253

#SPJ2


What is the scale factor and how do you find it?

Answers

Okay I’m figuring it out

A veterinarian divided 3/4 of a bottle of medicine equally among some sick cats. She gave each cat 1/4 of a bottle of medicine. How many sick cats were there

Answers

Answer:

3 sick cats

Step-by-step explanation:

1/4 times x(number of cats) = 3/4


Write an expression that is equivalent to -2/5(15 - 20d +50)
Explain please!:)

Answers

Answer:

-26 + 4/5d

Step-by-step explanation:

-2/5 ( 15 - 2d + 50)

= -2/5 ( 65 - 2d)

= -2/5 * 65 - (-2/5) * 2d

= -26 - (-4/5d)

= -26 + 4/5d

SOMEONE HELP PLEASE!! ITS DUE AT 16:00 UK TIME ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!

Answers

Answer:

From left column to right

Left                             Right

1. 23a+18                         1. 7a-6

2. 23a-6                           2. 7a-18

3.  23a-18                             3. 7a+6

4. 0a+4                               4. 0a+0

Step-by-step explanation:

The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3

Answer is 15a+6+8a+12=

23a+18

Hope this helped :)

Which of the this is a mathematical translation of "A number increased by 7".

A. a + 7
B. 7 + a
C. 7a
D. 7/a​

Answers

A
the keyword is “increased”. That shows that you need to add instead of multiply. “a” is the secret number. Think of it like a sandwich... the bread is a (the secret number) and the meat is + (increased by) and the other bread is the 7. Hope this helps!:)
the correct answer is A: whenever you see “by #” that number is going to be put at the end of the equation or at least after the variable. “A number increased by 7” in other words, “this number will go up by 7” in equation form equals, (a+7)

Find the exact value of cos 105degrees

Answers

Answer:

[tex] \sqrt{2} - \sqrt{6} [/tex]

over 4

SOMEONE HELP MEEEEEE

Answers

Answer:

144

Step-by-step explanation:

The answer would 114

y= -3x + 1 and y= x - 3

Answers

Answer:

x= 1

y= -2

Step-by-step explanation:

equation (1): y= -3x+1

equation (2): y=x-3

solve the system of equations by substitution:

step1: sub ( x-3 ) for y in equation 1:

y = -3x+1

x-3 = -3x+1

step2: simplify the equation to get x:

(add 3 for both sides)

x = -3x+4

(add 3x for both sides)

4x = 4

(divide 4 from both sides)

x = 1

step3: sub the value of x (x=1) in equation 2:

y = x-3

y = 1-3

step4: solve the equation to get y:

y = -2

What is the least common multiple of 4 and 10?

Answers

Answer:

Step-by-step explanation:

20

Least common multiple (LCM) of 4 and 10 is 20.

Answer:

20

Step-by-step explanation:

David earned a raise of an additional $2.00 per hour. Initially, he started at $14.00 an hour. What is the percent increase in David’s hourly pay? Round percentage to the tenths place.

Answers

2.1%

Step-by-step explanation:

I don't really know how to explain what I did on paper But I got it right on the assignment : D

The percent increase in David’s hourly is;

14.3%

Percent increaseDavid's initial pay per hour = $14 per hourIncrease per hour = $2

Thus;

New amount paid per hour = $14 + $2 = $16

Thus;

Percent increase in David's hourly pay = (2/14) × 100% = 14.3%

Read more about percentage increase at; https://brainly.com/question/14432715

Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?


if h=3, then r=


if r=2, then h=

Answers

Answer: r = 1.69 inches

              h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

[tex]9=\frac{1}{3}\pi r^{2}3[/tex]

[tex]\pi r^{2}=9[/tex]

[tex]r^{2}=2.864[/tex]

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]

[tex]h=\frac{9(3)}{4 \pi}[/tex]

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

The diameter of a circle is 4 m. Find its area to the nearest tenth.

Answers

Answer:

12.6m²

Step-by-step explanation:

radius=2

Area=π2²=12.6(1dp)

The guy above is right but didn’t round it off. It’s 13 instead of 12.6

10y + x2, x is 6 y is 4

Answers

10•4 + 6•2 = *blank*
10•4 = 40
6•2=12
40+12=52
Therefore 10•4 + 6•2 = 52

Answer:

52

Step-by-step explanation:

10y + x2

substitute

10(4)+6(2)

multiply

40+12

add

52


3 pencils cost $0.45. What is the cost per pencil?

Answers

Answer:

$0.15

Step-by-step explanation:

You have

3 pencils: $0.45

divide both numbers by 3

3 pencils / 3: $0.45 / 3

1 pencil: $0.15

Answer:

0.15

Step-by-step explanation:

3÷.45=.15

PLS HELP WILL GIVE BRAINLIEST!! Identify this set of lines as parallel, perpendicular, or neither.

Answers

Answer:

neither

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope

perpendicular lines have the opposite of the reciprocal of the slope of the other line

The slope of the first line is 3 and the slope of the second line is -3.

If the lines were parallel, the slopes would be the same, so 3 = -3 which is not true, so they aren't parallel.

If the lines were perpendicular, the slope of the second line would be the opposite reciprocal of 3, or -1/3. -1/3 does not equal 3, so these lines are not perpendicular

A) G
17 + 4x
H
4x+12/
1159
D
A) 12
C) 13
B) 3
D) 14

Answers

Answer:

d I do believe good luck with the answer I hope it right

in a triangle xyz the measure angle yxz is 14.5 and the measure of angle xyz is 75 what is the measure of angle xyz in degrees

Answers

the answer is 29363

Step-by-step explanation:

hope this dont help

Answer:

10392

Step-by-step explanation:

;$6%6%-%-:-$-&-'-$-

An airplane flies 56 miles due north than 33 miles due east. How many miles is the plane from its starting point?

Answers

Is it 89 ? Wouldn’t you just add them up from the starting point ?

Rachel went out for lunch. Her total for lunch came to $28.55. Rachel wants to leave the waitress a 22% tip. What will be Rachel's total including the tip?

Answers

Answer:

the answer is 6.28 her total is 34.83

Answer:

the answer is 6.28 hope it helps

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