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miv72 [106K]
2 years ago
9

Evaluate the expression 12 - 3y 12 - 3V+ 12Y = 4 for y = 3.

Mathematics
1 answer:
kolezko [41]2 years ago
3 0

Answer:

v=7

Step-by-step explanation:

You want to write your equation and it should look like this:

12 - 3V+ 12Y = 4

next you wanna plug in y which in this case it is 3 now your equation should look like this:

12 - 3V+ 12(3) = 4

next you wanna multiply 12 and 3 so keep everything the same your new equation should look like this:

12 - 3V+ 36 = 4

now you wanna combine like terms and the like terms here would be 12 and 36 so you wanna subtract 12 from 36 to get you 24 and your new equation should look like this:

3V+ 24 = 4

next you want to subtract 24 from 4 and it should look like this:

3V= -20

now you want to get the variable by itself and you can do that by dividing 3 from -30 and your new equation should look like this:

v=-6.666666666666667

but you cant submit that so you wanna say v=7

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What is the product?<br> (6r-1)(-88-3)
8090 [49]

(6r-1)(-88-3)

Multiply the two brackets together

(6r)(-88)=-528r

(6r)(-3)=18r

(-1)(-88)=88

(-1)(-3)=3

-528r-18r+88+3 ( combine like terms)

Answer: -546r+91

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3 years ago
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olga55 [171]

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The lamp would cost $39.36

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Find the measure of arc AC whose inscribed angle is 62 degrees.
Marina CMI [18]
Check the picture below, that's the "inscribed angle theorem"

3 0
2 years ago
The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
2 years ago
Find sin A for the triangle below. Give the exact value as an expression and an approximation to the nearest ten-thousandth. Not
Feliz [49]

the exact value of sin A  to the nearest ten- thousandth is 0. 6625

<h3>Using the pythagorean theorem</h3>

a² + b² = c²

The opposite side is unknown, so use the pythagorean theorem to find it

c = hypotenuse = 4

a= opposite site = ?

b= adjacent side = 3

Substitute into the formula

4² = a² + 3²

16 = a² + 9

a² = 16 -9 = 7

Find the square root

a =√7 = 2. 65

To find Sin A, use

Sin A = opposite side ÷ hypotenuse

Sin A = 2. 65 ÷ 4 = 0. 6625

Thus,  the value of sin A is 0. 6625

Learn more about pythagorean theorem here:

brainly.com/question/654982

#SPJ1

7 0
1 year ago
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