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3 years ago

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Mathematics

1 answer:

Feliz [49]3 years ago

4 0

Answer:

Step-by-step explanation:

becauss

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PLEASE HELP!

IrinaVladis [17]

Answer:

Step-by-step explanation:

<h3>Sphere:</h3>

1) a) r = 7 cm

$\sf \boxed{\text{Volume of sphere=$\dfrac{4}{3}\pi r^3$}}$

$\sf =\dfrac{4}{3}*3.14*7*7*7\\\\= 1436 \ cm^3$

$\sf \boxed{\text{\bf Surface area of sphere = $4\pi r^2$}}$

= 4*3.14 * 7 * 7

= 615.44 cm²

b) r= 8.4 cm

$Volume = \dfrac{4}{3}\pi r^3$

$\sf =\dfrac{4}{3}*\dfrac{22}{7}*8.4*8.4*8.4\\\\= 2483.7 \ cm^3$

Surface area = 4*3.14*8.4*8.4

= 887.04 cm²

<h3>Hemisphere:</h3>

a) r = 6 cm

$\sf \boxed{\text{\bf Volume of hemisphere =$\dfrac{2}{3} \pi r^3$}}$

$\sf =\dfrac{2}{3}*3.14*6*6*6\\\\= 452.16 \ cm^3$

$\sf \boxed{\text{\bf Surface area of hemisphere=3 \pi r^2}}$ $\sf \boxed{\text{\bf Surface area of hemisphere = $3 \pi r^2$}}$

= 3 * 3.14 * 6 * 6

= 339.12 cm²

3 0

2 years ago

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

8 0

3 years ago

Please help 0.8t+0.6t-t

PolarNik [594]

Answer:

0.4t

Step-by-step explanation:

1.4t-t=0.4t

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Please help thank you.

alina1380 [7]

Hello!

To solve this we use the equation sin60 = (s/2) / (d/2)

s is a side of the triangle
d is the diameter

sin60 = s/d

$\sqrt{3/4} =s/d$

$d=s/ \sqrt{3/4}$

$d = s \sqrt{4/3}$

$d = 2s/ \sqrt{3}$

put 6 in for s

$d=12/ \sqrt{3}$

$d = \sqrt{48}$

d = 6.9

The answer is C) 6.9

Hope this helps!

5 0

3 years ago

Which graph does not represent a function

Marysya12 [62]

Answer:

Graph D

Step-by-step explanation:

it does not pass the linear test to qualify as a function

3 0

3 years ago

Read 2 more answers