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Anuta_ua [19.1K]
3 years ago
7

A hemisphere with diameter 5cm Calculate the volume of this hemisphere

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer:

v= 262 (3 significant figures)

Step-by-step explanation:

volume of hemisphere= 2/3 * π * r³

v= 2/3 * 22/7* 125

v= 261.799388cm3

v= 262 (3 sf)

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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The
Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

3 0
3 years ago
Help with math 360×610÷409= what help
sergij07 [2.7K]

The answer to the equation is approximately 536.91

7 0
3 years ago
Factorise 24e^2-28e-12
Helga [31]

Answer:

4(2e - 3)(3e + 1)

Step-by-step explanation:

Given

24e² - 28e - 12 ← factor out 4 from each term

= 4(6e² - 7e - 3) ← factor the quadratic

Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.

product = 6 × - 3 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the e- term

6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )

= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term

= (2e - 3)(3e + 1)

Then

24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form

8 0
3 years ago
Please help it’s a test and I can’t get logged out
HACTEHA [7]

Answer:

the anwer is B ( i mean second option)

And you can try it

you will find ;

y =  \frac{x}{3}  - 1

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

5 0
3 years ago
Tonya said that the fraction 10/12 was in simplest form. Do you agree? Why or why not?
Zarrin [17]

Answer:

NO

Step-by-step explanation:

You can reduce the fraction by dividing by 2. If you divide by 2, then you will get 5/6 which is more reduced than 10/12.

Hope  this helps plz mark brainliest if correct :D

7 0
3 years ago
Read 2 more answers
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