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3 years ago

Is 36 a perfect square?

Mathematics

2 answers:

svlad2 [7]3 years ago

8 0

Answer: Yes

Step-by-step explanation: Yes, it is a perfect square of 6. 6 x 6 = 36.

Nata [24]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

6 times 6 = 36

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An equiangular triangle can be a scalene?

Lorico [155]

Answer:

No, an equiangular triangle cannot be scalene.

Step-by-step explanation:

By definition, a scalene triangle is a triangle in which each side of the triangle has a different length

6 0

3 years ago

Prove that: (a2 - b2)3 + (b2-c2)3+ (c2-a2)3 = 3 (a+b) (b+c) (c+a) (a-b) (b-c) (c-a).

Vanyuwa [196]

$L=(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=(*)\\\\(a^2-b^2)^3=a^6-3a^4b^2+3a^2b^4-b^6\\\\(b^2-c^2)^3=b^6-3b^4c^2+3b^3c^4-c^6\\\\(c^2-a^2)^3=c^6-3c^4a^2+3c^2a^4-a^6\\\\(*)=a^6-3a^4b^2+3a^2b^4-b^6+b^6-3b^4c^2+3b^2c^4-c^6+c^6-\dots\\\dots-3c^4a^2+3c^2a^4-a^6\\\\=-3a^4b^2+3a^2b^4-3b^4c^2+3b^2c^4-3c^4a^2+3c^2a^4\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)$

$R=3(a+b)(a-b)(b+c)(b-c)(c+a)(c-a)\\\\=3(a^2-b^2)(b^2-c^2)(c^2-a^2)\\\\=3(a^2b^2-a^2c^2-b^4+b^2c^2)(c^2-a^2)\\\\=3(a^2b^2c^2-a^4b^2-a^2c^4+a^4c^2-b^4c^2+a^2b^4+b^2c^4-a^2b^2c^2)\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)\\\\L=R$

5 0

3 years ago

Read 2 more answers

Rewrite each fraction with a denominator of 24 2/3 and 5/8

Tresset [83]

Answer:

2/3 = 16/24

5/8 = 15/24

Step-by-step explanation:

2/3= 16/24

5/8= 15/24

because if you multiply across $\frac{2}{3}$ by $\frac{8}{8}$ equal $\frac{16}{24}$

and if you multiply across $\frac{5}{8}$ by $\frac{3}{3}$ equal $\frac{14}{24}$

3 0

2 years ago

The diameter of a cylindrical construction pipe if 6 ft. If the pipe is 25 ft long what is it’s volume?

Alex17521 [72]

Answer:

47.77

Step-by-step explanation:

6÷3.14=1.91×25=47.77

6 0

3 years ago

a boat can travel 30 miles upstream in the same amount of time you can travel 50 miles Downstream. If the speed of the current i

almond37 [142]

Speed, S = Distance (d) / Time (t) => S= d/t => t= d/S

Let the speed of boat in still water be x mph

Resulting speed upstream = x-4 mph for a distance of 30 miles
Resulting speed downstream = x-4 mph for a distance of 50 miles

Time taken in both distances is equal.
Therefore,

30/(x-4) = 50/(x+4) => 30(x+4) = 50(x-4) => 30x+120 = 50x-200 => 120+200 = (50-30)x => 20x = 320 => x=320/20 = 16 mph

The speed of boat in still water is 16 mph.

7 0

3 years ago

Read 2 more answers