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1 year ago

Please help me with my assignment

Mathematics

1 answer:

Readme [11.4K]1 year ago

6 0

0.000565 - this is a simple standard form question (if the 10 is to the power of a negative number, the answer will always be extremely low!)

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Use the figure to the right to find the missing lengths of the triangle.

pychu [463]

To find AB(x) and BC(y), you can do(there are multiple ways you can do this):

tan A = $\frac{y}{7}$

tan 60° = $\frac{y}{7}$ or (tan 60°) · 7 = y

tan 60° = $\frac{\frac{\sqrt{3} }{2} }{ \frac{1}{2} } = \sqrt{3}$

√3 · 7 = y

7√3 cm = y

sin B = $\frac{7}{x}$

sin 30° = $\frac{7}{x}$ or $x= \frac{7}{sin 30}$

sin 30° = $\frac{\frac{1}{2} }{1}$ = $\frac{1}{2}$

x = $\frac{7}{\frac{1}{2} } = 14$

x = 14 cm

AB = 14cm

BC = 7√3 cm

8 0

3 years ago

Find the value of a and b in (a,2)=(2,b)

Ksenya-84 [330]

Answer:

a=2 and b=2...............

8 0

2 years ago

On average, there are 3 pages in every chapter of a James Patterson novel. Each book has approximately 79 chapters. James Patter

sdas [7]

Answer:13746

Step-by-step explanation:

3 * 79 = find amount of pages on average per book

= 237

237 * 58 = find amount of pages written for 58 books

=13746

James Patterson has written approximately 13,746 pages

6 0

2 years ago

9.21 <br><img src="https://tex.z-dn.net/?f=9.21%20%5Cdiv%200.4%20%3D%20" id="TexFormula1" title="9.21 \div 0.4 = " alt="9.21 \di

Whitepunk [10]

Let us do it by converting the 0.4 to a fraction, it has one decimal, so we'll use one zero at the denominator.

and 9.21 to a fraction as well, two decimals, thus two zeros at the denominator then,

$\bf 9.21\div 0.4\\\\
-------------------------------\\\\
0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}\qquad \qquad \qquad \qquad 9.\underline{21}\implies \cfrac{921}{1\underline{00}}\\\\
-------------------------------\\\\
9.21\div 0.4\implies \cfrac{921}{100}\div \cfrac{2}{5}\implies \cfrac{921}{100}\cdot \cfrac{5}{2}\implies \cfrac{921}{20}\cdot \cfrac{1}{2}\implies \cfrac{921}{40}
\\\\\\
23\frac{1}{40}\implies 23.025$

3 0

3 years ago

A conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base

Aliun [14]

Answer:

$2\ cm$

Step-by-step explanation:

$We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h$

$As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel$

$Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm$

8 0

2 years ago