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lisabon 2012 [21]
3 years ago
5

A bicycle is made up of two basic geometric shapes. They are:

Mathematics
2 answers:
alex41 [277]3 years ago
5 0
They are circle and triangle.

Best of luck in geometry
MrRissso [65]3 years ago
4 0
Circle and triangle, the circles are the wheels and the triangle is the body of the bike

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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
2 years ago
If (x − 2) ∶ 5 = 7 ∶ 9, then find the value of x.
WARRIOR [948]

Answer:

x=53/9

Step-by-step explanation:

(x-2):5=7:9

9x-18=35

9x=35+18

9x=53

x=53/9

4 0
2 years ago
What is 25% as a decimal
Artist 52 [7]
25% as a fraction is 1/4 or 25/100 so as a decimal its 1/4 of 1 which is .25
3 0
3 years ago
Read 2 more answers
N = 27 divided (4 + 5)
frozen [14]
The answer to this question is n = 3
6 0
3 years ago
Michael estimated his mass as 8 kilograms. is his estimate resonable? justify your answer.
Zarrin [17]
His estimate is not reasonable because he would have to be more descriptive in order to have his answer justified
5 0
3 years ago
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