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2 years ago

96.5 times 2.54 i know the answer i just need help showing the work

Mathematics

2 answers:

Ivanshal [37]2 years ago

6 0

At first just take out the decimals and multply numbers normally.

Then get your answer. Then check how many decimal places there are in

96.5 * 2.54 which is 3

then in the answer count three down from the end at 0 and place your point at 3 decimal places!

kogti [31]2 years ago

3 0

You just solve it like a normal multiplication problem and then start putting the decimal begin the answer and place it 3 numbers forward

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2 years ago

Coordinates, gradient and tangent work (see image).

Ivenika [448]

Answer:

a) $P(x,2x^2-5),\ Q(x+h,2(x+h)^2-5)$

b) $4x+2h$

c) $4x$

Step-by-step explanation:

Given the curve

$y=2x^2-5$

a) If the x-coordinate of P is $x$ , then the y-coordinate is $2x^2-5,$ so point P has coordinates $(x,2x^2-5)$

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b) The gradient of the secant RQ is

$\dfrac{y_Q-y_P}{x_Q-x_P}\\ \\=\dfrac{(2(x+h)^2-5)-(2x^2-5)}{(x+h)-x}\\ \\=\dfrac{2(x+h)^2-5-x^2+5}{x+h-x}\\ \\=\dfrac{2(x+h)^2-2x^2}{h}\\ \\=\dfrac{2x^2+4xh+2h^2-2x^2}{h}\\ \\=\dfrac{4xh+2h^2}{h}\\ \\=4x+2h$

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1 year ago

Find the circumference of the sphere whose volume is 1375/21 cu. cm

Anit [1.1K]

Answer:

The circumference of the sphere is $C=5\pi\ cm$ or $C=15.7\ cm$

Step-by-step explanation:

step 1

Find the radius of the sphere

we know that the volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=\frac{1,375}{21}\ cm^{3}$

substitute and solve for r

$\frac{1,375}{21}=\frac{4}{3}\pi r^{3}$

assume

$\pi =3.14$

$r^{3}=\frac{1,375}{21}(\frac{3}{4*3.14})$

$r=2.5\ cm$

step 2

Find the circumference

The circumference is equal to

$C=2\pi r$

we have

$r=2.5\ cm$

substitute

$C=2\pi(2.5)$

$C=5\pi\ cm$

assume

$\pi =3.14$

$C=5(3.14)=15.7\ cm$

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