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3 years ago

The area of a rectanglular sandbox is (5x + 40) feet. Factor 5x + 40 to find possible dimensions of the sandbox

1 answer:

6 0

5x+40 factors to 5(x+8). Notice how distributing the 5 back through to each term in the parenthesis gives
5 times x = 5x
5 times 8 = 40
So 5*(x+8) = 5*x+5*8 = 5x+40

Therefore, the factors are 5 and (x+8).
The dimensions of the sandbox are 5 feet by (x+8) feet.

We don't know the numeric value of (x+8) since we don't know the value of x, so we leave it as is.

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leonid [27]

Answer:

option A is correct.(Every plane must have three intercepts.)

Step-by-step explanation:

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The intercept form of the equation of plane in 3-D is given by:

$\dfrac{x}{l}+\dfrac{y}{m}+\dfrac{z}{n}=1$

Where l,m,n are intercepts of x,y,z axes and a plane respectively.

Hence, we require all the three intercepts of a every plane.

Hence, option A is correct.

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3 years ago

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Find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value.

mote1985 [20]

Answer: a) $\frac{1}{2}$

b) 1

c) 2

Step-by-step explanation:

(a) sin 17π/6

It is known that the value of sin x repeat after an interval of $2\pi\ or\ 360^{\circ}$

∴ $\sin\frac{17\pi}{6}=\sin2\frac{5\pi}{6}=\sin(2\pi+\frac{5}{6}\pi)=\sin{\frac{5}{6}\pi}=\sin(\pi-\frac{\pi}{6})=\sin(\frac{\pi}{6})=\frac{1}{2}$

[Since the value of sin x is positive in 2nd quadrant]

(b) tan 13π/4

It is known that the value of sin x repeat after an interval of $\pi\ or\ 180^{\circ}$

∴ $\tan\frac{13\pi}{4}=\tan(3\pi+\frac{\pi}{4})=\tan{\frac{\pi}{4}}=1$

(c) sec 11π/3

$\text{Since, }\sec(x)=\frac{1}{\cos x}$

$\cos(\frac{11\pi}{3})=cos(\frac{5\pi}{3}+2\pi)=\cos(\frac{5\pi}{3})=\cos(6\pi-\frac{\pi}{3})=\cos(\frac{\pi}{3})=\frac{1}{2}\\\Rightarrow\sec(\frac{11\pi}{3})=\frac{1}{\cos(\frac{11\pi}{3})}=2$

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3 years ago

Lucy drove387 miles using 18 gallons of gas.at this rate how many miles would she drive using 11 gallons of gas

Nata [24]

Answer:

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Step-by-step explanation:

Because it is 21.5 miles per one gallon of gas.

You divide 387 by 18 to get 21.5 then multiply 21.5 by 11

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3 years ago

(Will give Brainliest, these are angle relationships) Please help, and show work, what relationship is it and set up an equation

Vanyuwa [196]

Answer:

Supplementary, 39+5x=180, x=28.2

Step-by-step explanation:

So we know that a straight line is 180 degrees, therefore 52+(5x-13) must equal 180. This is a supplementary relationship. That's our equation, now we just have to solve.

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We can straight away combine numbers, giving us

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Now we subtract 39 from both sides, giving us

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Now we will answer.

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I'm not sure if this is right, but this is my answer :)

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