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levacccp [35]
3 years ago
9

- QUIZ DUE TODAY -

Mathematics
2 answers:
Elena L [17]3 years ago
6 0

Answer:

Step-by-step explanation:

$19.50

-$15.50=

$4.00

1slice of pizza and 1soda is $4

so 2slices of pizza and 2 sodas is $8

$15.50-$8=$7.50

Now you have 3 slices of pizza left

$7.50/3slices=$2.50

1slice of pizza is $2.50

Iteru [2.4K]3 years ago
5 0

Answer:

each burger costs : $4.50

each slice of pizza costs : $2

Step-by-step explanation:

3 slices of pizza + 2 burgers = $15.50 ➡ 3p + 2b = $15.50

1 slice of pizza + 4 burgers = $20➡ 1p + 4b = $20

multiply second equation by -3 then add both equations up

-3p - 12b + 3p + 2b = $15.50 - $60 ➡-10b = -$44.50

b = $4.50 now use this value in the second equation to find the price of pizza slice

1p + 4×4.50 = $20 ➡1p = $2

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Answer:

A, D, E, F

Step-by-step explanation:

Exterior angles are the outer angles.

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Angles 1 and 4 are interior angles.

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Find the LCM of the numbers.<br> 3,16,20
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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
3 years ago
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motikmotik

Answer: at least 1

Step-by-step explanation:

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