All categories

3 years ago

I need help ,,, and tahnks☺

Mathematics

2 answers:

Mashcka [7]3 years ago

6 0

Pythagora: 20^2=(4x)^2+(3x^2)
400=16x^2+9x^2
x^2=400/25
x^2=16
x=4

Lubov Fominskaja [6]3 years ago

4 0

We can use the Pythagoras theorem:

leg 1² + leg 2² = hypotenuse²
(4x)² + (3x)² = 20²
16x² + 9x² = 400
combine like terms
25x² = 400

divide by 25 on both sides to isolate x²
$\frac{25x^2}{25} = \frac{400}{25}$
25 and 25 cancels out

x² = 16

Take square root on either sides tot find the value
$\sqrt{x^2} = \sqrt{16}$
x = +/- 4

Cancels -4 because lengths cannot be in negative.

x = 4

check:
(4 × 4)² + (3 × 4)² = 20²
(16)² + (12)² = 400
256 + 144 = 400
400 = 400

You might be interested in

Find the other endpoint of the line segment with the given endpoint and midpoint.

Shtirlitz [24]

Answer:

endpoint is (29, -13)

Step-by-step explanation:

Formula for midpoint is $(\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2} )$

So, let $(x_{2} , y_{2} )$ be the coordinates of the endpoint you are looking for.

$x_{1} = -9$ and $y_{1} = 7$

$(\frac{-9 + x_{2} }{2} , \frac{7 + y_{2} }{2} )$ = (10, -3)

$\frac{-9 + x_{2} }{2} = 10$ $\frac{7 + y_{2} }{2} = -3$

-9 + $x_{2}$ = 20 7 + $y_{2} = -6$

$x_{2} = 29$ $y_{2} = -13$

endpoint is (29, -13)

6 0

3 years ago

if ( in one month ) I make a total of 15 calls at standard hours, what is the difference in cost between the two contracts ? ans

Olenka [21]

Answer:

Voice over Internet Protocol (VoIP), also called IP telephony, is a method and group of technologies for the delivery of voice communications and multimedia sessions over Internet Protocol (IP) networks, such as the Internet. The terms Internet telephony, broadband telephony, and broadband phone service specifically refer to the provisioning of communications services (voice, fax, SMS, voice-messaging) over the Internet, rather than via the public switched telephone network (PSTN), also known as plain old telephone service (POTS).

5 0

3 years ago

Abygail is building a dollhouse. She has boards that are two different lengths. One long board is 10 inches longer than the tota

nikitadnepr [17]

Answer:

9 in

Step-by-step explanation:

a short bored is 9 in

37-10=27

27÷3=9

So that means a short bored is 9 in

7 0

3 years ago

So my bf x has a x gf who is obsessed with him and she was singing u beloing with me what do i do

Rom4ik [11]

this is a learning help website? tell me if i am wrong

5 0

2 years ago

Read 2 more answers

the table shows the balance of a money market account over time. write a function that represents the balancr y (in dollars) aft

Solnce55 [7]

Answer:

y = 1500 * 1.09^t

Step-by-step explanation:

It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner

y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.

Well, year 0 is the rate of change so we can say that a = 1500

Next, we divide any two consecutive year balances to find our rate of change:

1635/1500 = 1.09

Therefore, our equation looks like this: y = 1500 * 1.09^t

6 0

3 years ago