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3 years ago

Find cos x if sin x cot x = 0.5.

Mathematics

2 answers:

I am Lyosha [343]3 years ago

8 0

Answer:

Choice A is correct.

Step-by-step explanation:

We have given that:

sin x cot x = 0.5.

We have to find the value of cos x .

As we know that cot x is the ratio of cos x and sin x.

cot x = cos x / sin x.

We have,

sin x (cos x / sin x) = 0.5.

cos x = 0.5

cos x = 0.5 is the answer.

sergiy2304 [10]3 years ago

4 0

Answer:

Choice A

Step-by-step explanation:

We are given;

$sinxcotx=0.5$

but we know that;

$cotx=\frac{1}{tanx}=\frac{cosx}{sinx}$

Substituting the last expression in place cot x yields;

$sinx*\frac{cosx}{sinx}=0.5\\ cosx=0.5$

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Algebraic expression the sum of 27 and twice the opposite of why

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3 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

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$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

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If you plug the values from your equation, you have

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So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

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3 years ago

If ab= 1 , bc = -9, c =-b and c < -a, what is the value a + b ?

MaRussiya [10]

1/3+3

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B=3
A=1/3
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In the figure, if AB || CD, then angle EFD is equal to:<br>(a) 50<br>(d) 40<br>(c) 20<br>(d) 30

dolphi86 [110]

Answer:

d. 40°

Step-by-step explanation:

70-30=40°

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