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dem82 [27]
3 years ago
12

Solve for the value of x

Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer:

x=9

Step-by-step explanation:

To solve for x, you can set up a proportion between the 2 triangles we see.

The small triangle can be written as \frac{16}{20}, and the large triangle can be written as \frac{16+12}{20+2x-3} = \frac{28}{2x+17}.

Set both proportions equal to each other.

\frac{16}{20}=\frac{28}{2x+17}

Cross multiply and solve for x.

16(2x+17)=(28)(20)

32x+272=560

32x=288

x=9

You might be interested in
Expand this figures = 87463
nata0808 [166]
Answer:

80,000
7,000
400
60
3

Adding!
= 80,00 + 7,000
= 87,000 + 400
= 87,400 + 60
= 87,460 + 3
=87,463
5 0
3 years ago
A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro
Mrac [35]

Answer:

The equation of the displacement d as a function of time t is :

d(t)=8sin(\pi t+\pi )

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple sin or cos terms.

Thus,

d(t) = Asin(wt+c)

is the general form of displacement of a SHM.

where,

  • <em>d(t) is the displacement with respect to the mean position at any time t</em>
  • <em>A is amplitude </em>
  • <em>w is the natural frequency of oscillation (rads^{-1})</em>
  • <em>c is the phase angle which indicates the initial position of the object in SHM (rad)</em>

given,

  1. Time period (T) = 2s
  2. A=8
  3. The natural frequency (w) and time period (T) is :

                               w=\frac{2\pi} {T}

∴

w = \frac{2\pi }{2}  = \pi rads^{-1}

∴

the equation :

<em>⇒d(t)=8sin(\pi t+c)    </em>                    ------1

since d=0 when t=o ,

<em>⇒0=8sinc\\c=n\pi                         ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , x must be negative or c must be an odd multiple of \pi.</u>

<em>⇒ d(t) = 8sin(\pi t+(2k+1)\pi )         ------3</em>

where k is also an integer ;

the least value of k=0;

thus ,

the equation is :

d(t)=8sin(\pi t+\pi )

<em></em>

7 0
3 years ago
All these answers pronto
Sophie [7]
For one it would be the mass because liquid isn’t measured in grams
6 0
3 years ago
Please help it’s really hard for me
adell [148]

Answer: Question #1 is Unit Fraction. Question #2 is Fraction. And Question #3 is Equal To.

Step-by-step explanation: Hope this helps! Have a fantastic day!

5 0
3 years ago
Read 2 more answers
I'm really confused, can you please help me
Anika [276]

Answer: y=8

Step-by-step explanation:

Since DF is bisected, it means but in half. This means DU and UF are equal in length. We can set them equal to each other to find y.

2y=16          [divide both sides by 2]

y=8

4 0
3 years ago
Read 2 more answers
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