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raketka [301]
3 years ago
6

In triangle abc angle a +angle b =90 then sin a =

Mathematics
1 answer:
Ivan3 years ago
8 0

Answer:

sin(a)=cos(b)

Step-by-step explanation:

we know that

In the triangle abc

if m\angle a+m\angle b=90^o

then

m\angle c=90^o

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangle abc is a right triangle

see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

so

sin(a)=\frac{x}{z}

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

so

cos(b)=\frac{x}{z}

therefore

sin(a)=cos(b)

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

so

sin(a)=cos(b)

cos(a)=sin(b)

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When 5x^2 + 2= 4x is written in standard form, what are the values of a, b, and c
goblinko [34]

The standard form of a quadratic equation is

ax^{2}+bx+c=0,

where a, b, and c are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.

In this case, the given equation is

5x^{2}+2=4x

Since 4x is on the right side of the equation, we subtract that from both sides. The resulting equation is

5x^{2}-4x+2=0

Looking at the standard form equation ax^{2}+bx+c=0, we can see that

a=5, b=-4, c=0

7 0
3 years ago
Write the sentence as an absolute value inequality, then solve the inequality: A number “n” is more than 9 units from 3
Helga [31]

Answer:

absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12

Step-by-step explanation:

I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)

So an absolute value inequality must be written like this:  

| x - a | *inequality* b

a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.  

Now, you will have this:

|x - 3| *inequality* 9

Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).

So now we're at:

|x - 3| > 9

To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:

x<-6 and x>12

Hope this is helpful!

6 0
3 years ago
How does brainstorm,decide,work,enjoy help with motivation?​
Assoli18 [71]

Answer:

It helps because it gets you thinking. Personally, it would motivate me because that process itself is very helpful. Brainstorm will get you your idea, you can decide if you want to do it or not, then you work on it, and because you have the right attitude towards whatever you are working on, you'll enjoy it!

6 0
3 years ago
A motor with an efficiency of 75% must supply 240 j of useful work. what amount of work must be supplied to the motor? j 180 j 3
Degger [83]
Work applied to motor is 320j.
6 0
3 years ago
Read 2 more answers
If ANQZ - ACBK, find BK. *<br><br>O BK = 39<br>O BK = 16<br>O BK = 65<br>O BK = 27<br>​
patriot [66]

9514 1404 393

Answer:

  (c)  BK = 65

Step-by-step explanation:

Corresponding sides are proportional in similar triangles, so ...

  ZT/ZQ = KF/KB

  27/(2x +7) = 45/(4x+1)

  27(4x+1) = 45(2x +7) . . . cross-multiply

  3(4x +1) = 5(2x +7) . . . . divide by 9

  12x +3 = 10x +35 . . . . . eliminate parentheses

  2x = 32 . . . . . . . . . . . . . subtract 10x+3

  x = 16 . . . . . divide by 2

Then the length of BK is ...

  BK = 4x+1 = 4·16 +1

  BK = 65

5 0
2 years ago
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