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3 years ago

A cone has a radius of 4.96 cm and a volume of 102 cm³

Mathematics

1 answer:

horrorfan [7]3 years ago

8 0

Answer:

h= 12/pi OR 3.81972

Step-by-step explanation:

$100= \frac{1}{3}5^{2}h$

$100= \frac{1}{3}\pi 25h$

$100= \frac{25\pi h}{3}$

$\frac{12}{\pi } =h$

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Will mark brainlist pls help !! :)

Kitty [74]

Answer:

Step-by-step explanation:

I just had the same paper last night

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3 years ago

Find the length of side AB.

melamori03 [73]

Answer:

8.86 cm

Step-by-step explanation:

The sine rule shows the relationship between the sides of a triangle and its opposite sides. Sine rule states that given a triangle with side a and opposite angle A, side b and opposite angle B, side c and opposite angle C then:

$\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}$

From the image attached, let AB = x, its opposite angle is 41°. BC = 13.5 cm and its opposite angle is 90° (right angle). Therefore using sine rule:

$\frac{x}{sin(41)} =\frac{13.5}{sin(90)} \\\\x=sin(41)*\frac{13.5}{sin(90)}\\\\x=8.8568\\\\ x=8.86\ cm\ to\ 3\ s.f$

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4 0

3 years ago

Solve the equation.<br> 5x^3 – 45x = 0

KIM [24]

Answer:

x = -3,0,3

Step-by-step explanation:

5x^3 – 45x = 0

Factor out 5x

5x( x^2 - 9) =0

Factor inside the parentheses which is the difference of squares

a^2 - b^2 = (a-b)(a+b)

5x( x-3)(x+3) =0

Using the zero product property

5x =0 x-3=0 x+3 =0

x=0 x=3 x=-3

x = -3,0,3

7 0

4 years ago

If you started counting when you first learned how to count and then counted by ones, eight hours a day, 5 days a week for 50 we

xenn [34]

Answer:

The number they would count is $\approx 0.49\cdot10^{-2}\ \%}$

Step-by-step explanation:

One mole is equal to 6.02214076x10^23 particles. In order to know the number counted by every human on Earth we simply multiply the number of humans times the count a "good counter" can achieve, 4x10^9x7.44x10^9 (for USA, change to 4x10^12 if you use de British English definition). Thus:

$\displaystyle{\frac{4\cdot10^9\cdot7.44\cdot10^9}{6.02214076\cdot10^{23}}=\frac{2.976\cdot 10^{19}}{6.02214076\cdot10^{23}}\approx 0.49 \cdot 10^{-4}\approx 0.49\cdot10^{-2}\ \%}$

6 0

3 years ago

Ow many solutions does the equation 5m − 5m − 12 = 14 − 2 have?

storchak [24]

Zero because -12 does not equal 12

3 0

3 years ago

Read 2 more answers