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3 years ago

How to find cos(a) if tan (a) = 0.5 and a is in the III quadrant

Mathematics

1 answer:

lana [24]3 years ago

6 0

Answer:

hey

Step-by-step explanation:

tana=5/10

tan a=1/2

1 I \ x

I \

I__a\

Let unknown side be x

angle be a

using pythagorus theorem,1²+2²=x²

x²=5

x= √5,-√5

cos a= 2/√5

but a is in quadrant III ,Cos is negative

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lakkis [162]

Answer:

100% increase from 100 is 200, the difference is 100.

100% decrease from 100 is 0, the difference is -100

error means that you were quite a long way off from the true value.

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3 years ago

If a car car travels 190 km at 10 hours find how much speed will be travelled in one hour?

Fed [463]

Answer:

19km

Step-by-step explanation:

190km divided by 10hr = 19km per 1hr

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2 years ago

How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

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2 years ago

A die is rolled. What is the probability of getting an even number?

balandron [24]

Answer:

I wanna say 1/3 because there 3 even numbers on a dice

Step-by-step explanation:

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3 years ago

THIRTY FIVE POINTS.

son4ous [18]

Answer: 31500 to 38500

Step-by-step explanation:

Lets find lower limit of guess

35000 - ( 35000 * 10% )

= 31500

Upper limit of guess

35000 + ( 35000 * 10% )

= 38500

So your guess can be anything between these two values.

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3 years ago