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3 years ago

Reduce fraction: a^3+a^2b/5a times 25/3b+3a

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

ANSWER

$\frac{5a}{3}$

EXPLANATION

The given fractions are:

$\frac{{a}^{3} + {a}^{2} b}{5a} \times \frac{25}{3b + 3a}$

We factor to obtain:

$\frac{{a}^{2}(a + b)}{5a} \times \frac{25}{3(a + b)}$

We cancel the common factors to get:

$\frac{{a}(1)}{1} \times \frac{5}{3(1)}$

We multiply the numerators and also multiply the denominators to get:

$\frac{5a}{3}$

Therefore the two fractions simplifies to $\frac{5a}{3}$

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3 years ago

Evaluate tan45/sin30 . In your final answer, include all calculations.

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From the identity $\displaystyle{ \tan x= \frac{\sin x}{\cos x}$ , and from the values:

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3 years ago

In an isosceles triangle two sides are equal. The third side is two less than twice the length of the two equal sides. The perim

pogonyaev

Answer:

The equal sides' length = 10

Third side length = 18

Step-by-step explanation:

Let the two equal sides' length be "x"

Let the third side length be "y"

Third side (y) is 2 LESS THAN TWICE the equal side, so we can write:

y = 2x - 2

The perimeter is 38. The perimeters is the sum of all three sides. So we can write:

x + x + y = 38

Replacing y with 2nd equation, we have:

x + x + (2x - 2) = 38

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3 years ago

Estimate the answer to the following problem to the nearest 10 13+46+87= a. 130 b.155 c.160 d.150

Lunna [17]

150

13+46= 59
59+87= 146

Round 46 to the nearest ten, which in this case would be 50 because the last number is larger than a 5.

Then add the 1 back in to make it 150.

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