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3 years ago

Multiply and simplify. (x + 3)(x - 8)

Mathematics

1 answer:

Kazeer [188]3 years ago

4 0

Answer:

$x^{2} - 5x - 24$

Step-by-step explanation:

( x + 3 )( x - 8 ) =

$x^{2}$ - 8x + 3x - 24 = $x^{2}$ - 5x -24

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Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

MrRa [10]

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 $mm^3$

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 $mm^3$

We know the volume of a cylinder is given by V = $\pi r^2 h$

where, r is the radius of the cylinder

h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = $\frac{6}{4}$

$=\frac{3}{2}$

Area scale factor $=\left(\frac{3}{2}\right)^2$

$=\frac{9}{4}$

∴ Volume scale factor $=\left(\frac{3}{2}\right)^3$

$=\frac{27}{8}$

Therefore, the volume of cylinder B is $=20 \times \frac{27}{8}$

= 67.5 $mm^3$

5 0

2 years ago

help asap im in a quiz, please show some sort of proof. and please dont say,¨ the answer is in the photo, and then send me a lin

Setler [38]

The answer would be D i think because if the two angles are to equal 72, and one of the angles equals 42, 72-42= 30. to find x, you’d do 30/6 which equals 5. so x=5 and the angle measure would be 30

4 0

3 years ago

What is 4/3 subtracted by 2/5

yKpoI14uk [10]

In order to subtract fractions, we must find a common denominator, then subtract the numerators.

The common denominator (LCM(3, 5)) is 15.

We must multiply the first numerator by 5, because 3*5=15 and the second numerator by 3 because 5*3=15.

We get $\frac{20}{15} - \frac{6}{15}$ .