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3 years ago

How to factorise 5a squared - 4ab

2 answers:

8 0

You can take the a out of both values. There are no other factorable parts of this expression. Your factored version would look something like this- a(5a-4b)
Hope that helped you out a bit nuzhat! ☺️

grandymaker [24]3 years ago

8 0

5a² - 4ab

You can factor out an a out of both sides and it will end up looking like this:

<em><u>a (5a - 4b)</u></em>

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Anna007 [38]

Answer:

522

Step-by-step explanation:

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2 years ago

PLS ANSWER QUICK The science center has 200 people in attendance on Monday. The center expects Saturday’s attendance to be 140 p

Rzqust [24]

Answer:

solution

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2 years ago

If cos() = − 2 3 and is in Quadrant III, find tan() cot() + csc(). Incorrect: Your answer is incorrect.

nydimaria [60]

Answer:

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}$

Step-by-step explanation:

Given

$\cos(\theta) = -\frac{2}{3}$

$\theta \to$ Quadrant III

Required

Determine $\tan(\theta) \cdot \cot(\theta) + \csc(\theta)$

We have:

$\cos(\theta) = -\frac{2}{3}$

We know that:

$\sin^2(\theta) + \cos^2(\theta) = 1$

This gives:

$\sin^2(\theta) + (-\frac{2}{3})^2 = 1$

$\sin^2(\theta) + (\frac{4}{9}) = 1$

Collect like terms

$\sin^2(\theta) = 1 - \frac{4}{9}$

Take LCM and solve

$\sin^2(\theta) = \frac{9 -4}{9}$

$\sin^2(\theta) = \frac{5}{9}$

Take the square roots of both sides

$\sin(\theta) = \±\frac{\sqrt 5}{3}$

Sin is negative in quadrant III. So:

$\sin(\theta) = -\frac{\sqrt 5}{3}$

Calculate $\csc(\theta)$

$\csc(\theta) = \frac{1}{\sin(\theta)}$

We have: $\sin(\theta) = -\frac{\sqrt 5}{3}$

So:

$\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}$

$\csc(\theta) = \frac{-3}{\sqrt 5}$

Rationalize

$\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}$

$\csc(\theta) = \frac{-3\sqrt 5}{5}$

So, we have:

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta)$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)$

Substitute: $\csc(\theta) = \frac{-3\sqrt 5}{5}$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}$

Take LCM

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}$

6 0

3 years ago

Which is the best definition of an Isosceles Triangle ?

baherus [9]

Answer:

A) but it is not a good choice.

Step-by-step explanation:

I don't like A much. An Isosceles triangle has 2 congruent sides. If all three are congruent, it is equilateral.

Of the three choices however, it is A. B is a scalene triangle and C is as stated, equilateral.

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2 years ago

Jon rented a car a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 400 mile

Anon25 [30]

The answer is 66 miles per mile !

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1 year ago