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aivan3 [116]
3 years ago
8

Solve 14a-3b+9c=18 for a. Do not use a= in your answer

Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

9/7 + 3/14b  - 9/14c

Step-by-step explanation:

See image below:)

You might be interested in
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
3 years ago
Rosita can wax her car in 2 hours or 120 minutes. When she works together with Helga, they can wax the car in 45 minutes. How lo
Mashcka [7]
<h2>Time taken by Helga to wax the car is 72 minutes</h2>

Step-by-step explanation:

Let w be the work of waxing.

Rosita can wax her car in 2 hours or 120 minutes.

Time taken by Rosita = 120 minutes

\texttt{Rate of Rosita = }\frac{W}{120}

Let time taken by Helga be t,

\texttt{Rate of Helga = }\frac{W}{t}

When she works together with Helga, they can wax the car in 45 minutes.

We have

             \frac{W}{\frac{W}{120}+\frac{W}{t}}=45\\\\120t=45(120+t)\\\\120t=5400+45t\\\\t=72minutes

Time taken by Helga to wax the car is 72 minutes

6 0
3 years ago
Explain why triangle abc is similar to triangle ade.
mihalych1998 [28]

Answer:

They are both right triangles

Step-by-step explanation:

The triangles are both the same shape but one is bigger than the other.

5 0
3 years ago
PLZ HELP NO WRONG ANSWERS
Ray Of Light [21]

Answer :

to find area of the square = 6 to the power 2

to find the area of the rectangle = (5x + 12) * 5x

therefore,

square's area = 36

rectangle's area = 5x*5x + 12 * 5x

= 25x * 60x

Now we have to find the sum of both the areas,

so, 36 + 1500 = 1536

Step-by-step explanation:

look I know my answer is wrong but I just wanted points! thnx for the free points! :)))))))))

NANRI! VANAKKAM!

3 0
3 years ago
what is the answer to this question. please respond. I need the answer very quick.my teacher is going to get mad at me
amm1812

It is a ratio problem...

2 dogs need 144 feet = 2 : 144

Simplify the ratio = 1 : 72

Multiply both sides by 8 (8 dogs) = 1*8 :144*8

Simplify the ratio = 8 : 1152

8 dogs need 1152 feet of fencing

Hope this helps!

3 0
3 years ago
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