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BigorU [14]
3 years ago
11

What is 2x + 7x + 8a + 9a

Mathematics
2 answers:
nlexa [21]3 years ago
8 0

Answer: 9x + 17a

Step-by-step explanation:

2x + 7x + 8a + 9a

2x+7x= 9x

8a+9a= 17a

= 9x +17a

lisabon 2012 [21]3 years ago
7 0

Answer:

9x + 17a

Step-by-step explanation:

9x + 17a. (A side note is that you can't add x and a together because they are different variables.)

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A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re
ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which \theta is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = 2\pi radians

So, the change in angle with respect to t ( time ),

\frac{d\theta}{dt}=8\pi\text{ radians per min}

Let x be the distance of beam from P,

\implies \tan \theta = \frac{x}{2}

Differentiating with respect to x,

\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}

(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}

(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}

If x = 1 km,

(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}

\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}

\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

7 0
4 years ago
A company made 1,215 yards of copper wire. They want to wrap the same amount of wire on each three poles. How many yards of wire
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Answer:

405 yards

Step-by-step explanation:

Given that,

A company made 1,215 yards of copper wire.

They want to wrap the same amount of wire on each three poles.

3 poles = 1,215 yards of copper wire

1 pole = 405 yards of copper wire

So, each pole will require 405 yards of copper wire.

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3 years ago
A right rectangular prism has these dimensions:
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Jorge wrote the equation -6 + 4x=8 . What is the value of x? <br> -4<br> -2<br> 4<br> 2
astraxan [27]

Answer:

\text{Thus the value of x = }\frac{7}{2}

Step-by-step explanation:

The equation is given to be : -6 + 4x = 8

Now, we need to solve this equation in order to find the value of x

⇒ -6 + 4x = 8

Adding +6 on both the sides

⇒ -6 + 4x + 6 = 8 + 6

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dividing each term by 4

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\text{Thus the value of x = }\frac{7}{2}

3 0
3 years ago
Read 2 more answers
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