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3 years ago

-3(x - 1) + 8(x - 3) = 6x + 7 - 5x

Mathematics

2 answers:

Neko [114]3 years ago

5 0

Answer:

The answer would be 7.

Step-by-step explanation:

Hope This Helps God Bless ;)

fredd [130]3 years ago

5 0

Answer:

x=7

Step-by-step explanation:

step 1) -3(x-1)+8(x-3)=6x+7-5x

step 2) -3+3+8(x-3)=6x+7-5x

step 3) -3x+3+8x-24=6x+7-5x

step 4) -3x+3+8x-24=x+7

step 5) 5x+3-24=x+7

step 6) 5x-21=x+7

step 7) 5x-x-21=7

step 8) 5x-x=7+21

step 9) 4x=7+21

step 10) 4x=28

step 11) x=7

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raketka [301]

Answer:

Height = 9 cm which means Option C is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = 225π cm³

Radius of cylinder = 5 cm

And , we have to find the height of cylinder .

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

Step 1 : Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

Step 2 : Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

Step 3 : Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

Step 4 : Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

Henceforth , height of cylinder is 9 cm

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1 year ago

HELP DUE IN 10 MINS!

Scilla [17]

Answer:

$\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi$

Step-by-step explanation:

Area of a circle with radius $r$ : $r^2\pi$

Circumference of a sector with radius $r$ : $2r\pi$

Area of sector with angle $\theta$ : $r^2\pi\cdot \frac{\theta}{360}$ .

Arc length of sector with angle $\theta$ : $2r\pi\cdot \frac{\theta}{360}$

Using these equations, we get the following information:

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Arc length of sector: $2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi$

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Step-by-step explanation:

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