consider this right triangle with given measures what is the unknown length

Consider This Right Triangle With Given Measures What Is The Unknown Length
Consider This Right Triangle With Given Measures What Is The Unknown Length

Answers

Answer 1

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9

Answer 2
12^2 + b^2 = 15^2
|
v
144 + b^2 = 225
-144 -144
—————————
b^2 = 81
b^2 = (square root 81 and the b)

ANS : b=9

Related Questions

State a rule for multiplying and dividing unlike sign integers

Answers

Answer:

just multiply the absolute values and make them positive or negative

Step-by-step explanation:

for example:

2×2=4

-2×2=-4

Answer:

just multiply the absolute values and make them positive or negative

Step-by-step explanation:

for example:

2×2=4

-2×2=-4

black panther ran 567.6km to the east 2.3 hours then turned around and ran 221.8km to the west in 1.2 hours. what was his average velocity during the trip in km/h?

Answers

Answer:

98.8 km/h

Step-by-step explanation:

Given that:

Distance traveled towards east, [tex]D_1[/tex] = 567.6 km

Time taken towards east, [tex]t_1[/tex] = 2.3 hours

After turning back:

Distance traveled towards west, [tex]D_2[/tex] = 221.8 km

Time taken towards west, [tex]t_2[/tex] = 1.2 hours

To find:

Average Velocity during the trip in km/h = ?

Solution:

First of all, let us consider the image attached in the answer area:

Let the black panther runs to point I from G and the turns back to point H.

GI = 567.6 km

IH = 221.8 km

Formula for Average Velocity is given as:[tex]\text{Average Velocity= }\dfrac{\text{Displacement}}{\text{Total Time Taken}}[/tex]

Here, Displacement will be GI - IH = [tex]D_1-D_2[/tex] =567.6 - 221.8 = 345.8 km

Total time taken = t_1+t_2 = 2.3 + 1.2 = 3.5 hours

[tex]\text{Average Velocity= }\dfrac{345.8}{3.5} = \bold{98.8\ km/h }[/tex]

The answer is:

Average Velocity = 98.8 km/h

Continue each pattern with the next two numbers.
1.7,14,8,16,10,20,14,

Answers

Answer:

7, 14, 8, 16, 10, 20, 14, 28, 22...

7 times 2 is 14, 8 times 2 is 16, 10 times 2 is 20, and so on.

hope this helps

Sebastian compra una bicicleta en $8562; una pantalla de tv. Que cuesta el doble de la bicicleta y un refrigerador que cuesta $ 1500 más que el doble de la tv. ¿Cuánto gastó en total.?

Answers

Answer:

$61.434

Step-by-step explanation:

Teniendo en cuenta que el enunciado señala que la pantalla de tv cuesta el doble de la bicicleta, debes multiplicar el valor de la bicicleta por 2 para encontrar su precio:

Precio pantalla de tv=$8.562*2=$17.124

Además, el enunciado señala que el refrigerador cuesta $1.500 más que el doble de la tv, por lo cual para encontrar su precio debes multiplicar el valor de la tv por 2 y sumarle $1500:

Precio del refrigerador=($17.124*2)+$1.500

Precio del refrigerador=$34.248+$1.500

Precio del refrigerador=$35.748

Finalmente, el gasto total es igual a la suma de los precios de la bicicleta, la tv y el refrigerador:

$8.562+$17.124+$35.748=$61.434

De acuerdo a esto, la respuesta es que Sebastian gastó $61.434.

What is the solution to -4y=28 (please explain)

Answers

Answer:

y=-7

Step-by-step explanation:

when you multiply a negative by a negative, it turns into a positive. -4 x -7 will equal 28, so y=-7, hope this helps

I need a expression for the area of the shaded region.

Answers

Answer:

the shaded area= s²-2πr²

Step-by-step explanation:

you have 2 circles

Area of circle=πr²

2 circles=πr²+πr²=2πr²

the area of square=s*s=s²

the shaded area= s²-2πr²

3x-2 is less than or equal to -20

Answers

3x - 2 ≤ -20

Add 2 to both sides:

3x ≤ -18

Divide both sides by 3:

x ≤ -6

Raymond built a “rocket" made from a cylinder and a cone. He filled the rocket
completely with water. What is the maximum number of gallons of water the rocket can
hold?
(231 in 3 = 1 gallon)
14in
16in
4in

Answers

Answer:

Rocket can hold maximum 4.5 gallons of water.

Step-by-step explanation:

Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

Volume = [tex]\frac{1}{3}\pi (4)^{2}(14)[/tex]

             = [tex]\frac{224\pi }{3}[/tex] cubic inch

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

Here r = radius of the base

h = height of the cylinder

Volume = [tex]\pi (4)^{2}(16)[/tex]

             = 256π cubic inches

Volume of the rocket = [tex]\frac{224\pi }{3}+256\pi[/tex]

                                   = [tex]\frac{992\pi }{3}[/tex]

                                   = 1038.82 cubic inches

Since 231 cubic inches volume of a rocket can hold water = 1 gallon

Therefore, 1038.82 cubic inches space can hold water

= [tex]\frac{1038.82}{231}[/tex]

= 4.497

4.5 gallons

Rocket can hold 4.5 gallons of water.

Step 1: 4r +5 = 7
Step 2: 4x = 2
1
Step 3: x = }
1 2
The property that was used in step 1 was the
The property that was used in step 2 was the
The property that was used in step 3 was the

Answers

Answer:

1- r=.5

2- x=.5

Step-by-step explanation:

sorry my handwriting is bad

Please help if you can. Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.

Answers

Yes because proportional is another word for equivalent for example x times 5 = y would be the same as y divided by 5 = x hope this helped

Answer:

he last ratio is written incorrectly.

Mandy reversed the input and output in the numerator and denominator.

The correct ratio is 50/10.

The relationship is proportional.

4x - 10=-2
Solve for x

Answers

Answer: x=2

hope this helps!

You would move the constant to the right and change its sign as the first step. so the equation would be 4x= -2+10.

-2+10 would be 8. so 4x=8.

then you would divide both sides by 4.

8 divided by 4 is 2.

so X=2

Please help, solve for x and n

Answers

Answer:

1. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}[/tex]

2. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{ \frac{6}{x + 1} = \frac{3}{x} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{6x = 3(x + 1)}}[/tex]

Distribute 3 through the parentheses

[tex] \dashrightarrow{ \sf{6x = 3x + 3}}[/tex]

Move 3x to left hand side and change it's sign

[tex] \dashrightarrow{ \sf{6x - 3x = 3}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{3x = 3}}[/tex]

Divide both sides by 3

[tex] \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 1}}[/tex]

The value of x is 1

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

2. [tex] \sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}} [/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}[/tex]

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

[tex] \dashrightarrow{ \sf{2n - 2 = 12n + 48}}[/tex]

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{2n - 12n = 48 + 2}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 10n = 48 + 2}}[/tex]

Add the numbers : 48 and 2

[tex] \dashrightarrow{ \sf{ - 10n = 50}}[/tex]

Divide both sides by -10

[tex] \dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{n = - 5}}[/tex]

The value of n is -5 .

Hope I helped!

Best regards! :D

How do you do diamond problems

Answers

Heres a video link on that:


https://youtu.be/4lFIjfafySE

Hoped it Helped !!

(WILL MARK BRAINLIEST PLEASE HELP!) Rule for reflecting 90, 180, 270, and 360 degrees clockwise (reflection not rotating please)

Answers

Answer:

Rotation of 90° (x, y) → ( ‐ y,  x )

Rotation of 180° (x, y) → ( ‐ x,  ‐ y )

Rotation of 270° (x, y) → ( y,  ‐ x )

idk 360...

?????,?,????????????????,"&_#£$£¥$£$???​

Answers

B explination ?????????,????,? &#£$£$£$£$£$???
The answer is B?amandiodosoenwjdid

Please help is due in 15mins​

Answers

Answer:

40. neither

41. Perpendicular

42. Parallel

43.  y= -4x+1

44. 2x-y=5

45. y=-3/2x-2

46.  -1/4x+y=5

Step-by-step explanation:

Identify the converse of the conditional statement below. If it is a shirt, then it has sleeves. Sleeves are found on shirts. O Shirts have sleeves. If it is a shirt, then it does not have sleeves. If it has sleeves, then it is a shirt.​

Answers

the answer is: if it has sleeves, then it is a shirt

Find the least common multiple of 3, 6 and 15

Answers

Answer: 30

Step-by-step explanation:

*Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ..., 30

* Multiples of 6: 6, 12, 18, 24, 30

* Multiples of 15: 15, 30

why is the quotient -100/(-5) the same as the quotient 100/5

Answers

Answer:The quotient of -100 and -5  is the same as the quotient of 100/5 because if you divide a negative number by a negative number, you will get a positive number and the same way if you divide a positive number by a positive number you will get a positive number.

Step-by-step explanation:

-100/-5 = 20

100/5 = 20

I NEED HELP ON THIS!! Solve for y: 3(2x+5)+4y=3(y-2x)+10

Answers

Answer:

10

Step-by-step explanation:

Begin with x3 + y3 = 4 . Differentiate both sides of the equation, getting

D ( x3 + y3 ) = D ( 4 ) ,

D ( x3 ) + D ( y3 ) = D ( 4 ) ,

(Remember to use the chain rule on D ( y3 ) .)

3x2 + 3y2 y' = 0 ,

so that (Now solve for y' .)

3y2 y' = - 3x2 ,

.

A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question: “In which quadrant would you find point P if the coordinates of P are (–5, ...” Assuming that P is not on an axis, what are the possible answers to this question?

Answers

Answer:

Quadrant 3 and Quadrant 4

Step-by-step explanation:

If the point is negative, then it will definetely be on the left side of the graph. The two quadrants on the left side are 3 and 4. Hope this helps!

w(n)=n-1; find w-(4)

Answers

Answer:5

Step-by-step explanation:

w(n)=4-1

=5

a cab company charge s a flat rate of $2 plus and additional $0.50 for every mile traveled when Sara arrived at her destination her cab fare $7.50 write and solve and equation to determine how many miles sara traveled

Answers

s+0.50m=7.50
2+0.50m=7.50
subtract from both sides
(2-2)+0.50m=7.50-2
0.50m=5.50
0.50m/0.50=5.50/0.50
divide 0.50 from both sides
m=11
Sarah traveled 11 miles.

The complement of an angle is 10 less than 4 times the angle itself. What is the measure of the angle and its complement?

Answers

Answer:

Below.

Step-by-step explanation:

If the angle is x degrees then its complement is 90-x degrees.

So 90-x = 4x - 10

90 + 10 = 4x + x

5x = 100

x = 20.

and the complement is 90-20 = 70.

A store purchased an emerald pendant and marked it up 100% from the original cost of
$465. A week later, the store placed the emerald pendant on sale for 20% off. What was the
discount price?

Answers

Answer: $744

Explanation: to mark it up 100% they would double the price. The price was $930. 20% of 930 is 186. 930 minus 186 equals 744.

Enter the decimal 0.56 as a fraction in simplest form. The simplest form of the decimal 0.56 as a fraction is

Answers

Answer:

7/25

Step-by-step explanation:

0.56 move two times to get rid of the point that will give you 56/100 divide by an digit that can go equally in both of them to the lowest form start from 2

Can you help me with this I don’t know how to do it

Answers

Answer:

67,900

Step-by-step explanation:

Move the decimal place 4 spaces to the right.

Answer:

it is for sure 67,900 :)

Step-by-step explanation:

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y=(7/5)x + 34/5

Step-by-step explanation:

All straight lines generally follow the equation format of: y=mx+c

Where m is the slope/gradient of the line, and c is a constant, the y-intercept, the y value when x=0.

To start, we need to find the slope, which we do by dividing the rise of the line by the run, that is the difference between the y value of two points divided by the different between the x value of two points.

We can use the two given points on the graph: (-7,-3) and (-2,4).

The rise is 7 because 4-(-3)=7, and the run is 5 because -2-(-7)=5.

Therefore the slope is 7/5.

so our equation so far is:

y=(7/5)x + c, (It is positive because the line is 'going upwards'.)

Now to find the c, we can just substitute in a pair of coordinates, we can use (-2,4):

4= (7/5)(-2) + c

4 = -14/5 + c

4 + 14/5 = c

c= 34/5

Therefore our full equation is:

y=(7/5)x + 34/5

Hope this helped!

How to find midpoint

Answers

Answer:

Midpoint of a Line Segment

Step-by-step explanation:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

If someone can guess whether I live in an apartment condo or house? Also, what floors do I have? 3, 2, and 4. Choose ALSO, I'll mark as brainliest

Answers

Answer:

house 3 floors

Step-by-step explanation:

i'm totally guessing i'm most likely wrong

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