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Sav [38]
1 year ago
11

In right triangle ABC, C is the right angle. Which of the following is cos B if sin A = 0.4

Mathematics
1 answer:
inessss [21]1 year ago
7 0

Answer:

Given that,

In right triangle ABC, C is the right angle.

sin A=0.4

To find cos B,

we get the triangle as,

we know that,

Hypotenuse of the triangle is AB

For the angle A, opposite side is CB

For the angle B, adjacent side is CB

From the definition of sine and cosine we get,

\sin A=\frac{CB}{AB}

Also,

\cos B=\frac{CB}{AB}

Comparing both we get,

\sin A=\cos B

It is given that sinA=0.4

Hence we get, cosB=0.4

Answer is: 0.4

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3 years ago
The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Whic
Andru [333]

Answer:

Remember that a vector translation can be written as:

T(a, b)

And if we apply this to a random point, (x, y), the translation gives:

T(a, b)(x, y) = (x + a, y + b)

now, remember that a general line can be written as:

y = m*x + s

Then a point of that line can be written as: (x, m*x + s)

Then if we apply the translation to a point in the line, we get:

T(a, b)(x, m*x + s) = (x + a, m*x + s + b)

Here we have two lines:

2x - 3y - 1 = 0

2x - 3y + 5 = 0

First, let's rewrite both of these in the slope-intercept form:

y = (2/3)*x - 1/3

y = (2/3)*x + 5/3

Now let's assume that we apply a translation to the first line, that has points of the form (x,  (2/3)*x - 1/3), such that we want to get points of the form:

(x, (2/3)*x + 5/3).

Then we must have:

T(a, b)(x,  (2/3)*x - 1/3) = (x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

Then we need to solve:

(x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

This means that:

x + a = x

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

From the first equation, we can see that a = 0

Now we can solve the second one to find the value of b.

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

subtracting (2/3)*x in both sides, we get:

-1/3 + b = 5/3

b = 5/3 + 1/3

b = 6/3 = 2

b = 2

Then the vector translation is:

T(0, 2)

So it moves the whole line 2 units upwards.

7 0
3 years ago
What is the exact value for the expression the square root of 52− the square root of 13 + the square root of 117 ? Simplify if p
avanturin [10]

√52 -√13 +√117

= 2√13 -√13 +3√13

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_____

√52 = √(4·13) = (√4)(√13) = 2√13

√117 = √(9·13) = (√9)(√13) = 3√13

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3 years ago
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