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Vilka [71]
3 years ago
7

What is the area of this figure

Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Answer:

209 ft^2

Step-by-step explanation:

70+104+35=209

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Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value fo
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The area of the triangle is a rational number,
since both its base and its height are.
6 0
4 years ago
Suppose Q is the midpoint of line segment PR, PQ = x + 10, and QR = 4x - 2
xz_007 [3.2K]

answer and step by step in the attachment

5 0
3 years ago
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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
When factoring 16x2 -
rewona [7]

Answer:

we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

Step-by-step explanation:

16x^2\:-36

As 4 is the greatest common factor of the expression, so factor out common term 4:

i.e.

16x^2\:-36=4\left(4x^2-9\right)

Thus, the first step is to find the greatest common factor (GCF)

Now, solving the remaining portion

16x^2\:-36=4\left(4x^2-9\right)

as (2x+3) and (2x-3) are the factors of (4x²-9)

i.e. (4x²-9) = (2x+3) (2x-3)

Thus, the expression becomes

16x^2\:-36=4\left(2x+3\right)\left(2x-3\right)

Therefore, we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

8 0
3 years ago
2. One number is eight more than another of
Jlenok [28]

Answer:

10 and 18

Step-by-step explanation:

a + 2b = 46

A + 2(b+8) = 46

b + 2b + 16 = 46

3b+ 16 = 46

3b = 30

b = 10

That’s the first number.

b is 10 so a is 10+8 = 18 because it’s 8 more then the other number.

b + 2a = 46

(10) + 2(18) = 46

10 + 36 = 46

46 = 46

6 0
3 years ago
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