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Salsk061 [2.6K]
3 years ago
6

Х

Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

y

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
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