4 years ago

Find the length of the diameter of a sphere with a surface area of 1890.56 cm^2.

1 answer:

3 0

1890.56 / 4 = 472.64 / pi = 150.4459846
square root of 150.4459846 = 12.26564245 = radius
12.26564245 x 2= 24.53128489
the answer is number 2

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Robert uses a wheelbarrow to haul wood from the back yard to his neighbor's house located 9 meters away. If he takes two breaks

Naily [24]

Answer:

3 meters

63 meters

Step-by-step explanation:

In order for his two breaks to occur after even distances, simply divide his total path in three:

$B = \frac{9}{3}\\ B=3\ meters$

He will reach his first break after 3 meters.

If he can only take 9 pieces at a time the number of trips required is:

$n=\frac{36}{9}\\ n=4$

Note that he will have to back to the back yard for the first three trips (traveling back the 9 meters path). The total distance traveled is:

$d= 3*(9+9)+9\\d=63\ meters$

He will travel 63 meters.

6 0

3 years ago

A^3+a+a^2+1 2a^2+2ab+ab^2+b^3

Vikentia [17]

$\frac{a^3+a+a^2+1}{a^3+a^2+ab^2+b^2} \cdot \frac{2a^2+2ab+ab^2+b^3}{a^3+a+a^2b+b} =\frac{a(a^2+1)+1(a^2+1)}{a^2(a+1)+b^2(a+1)} \cdot \frac{2a(a+b)+b^2(a+b)}{a(a^2+1)+b(a^2+1)} =\\\\=\frac{(a^2+1)(a+1)}{(a+1)(a^2+b^2)} \cdot \frac{(a+b)(2a+b^2)}{(a^2+1)(a+b)} = \frac{2a+b^2}{a^2+b^2}$