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Deffense [45]
3 years ago
6

Tommy has 6 more than 3 times the amount of money in his bank account than Judy. Judy has $7500 more than a number in her accoun

t. How much money does Judy and Tommy have in each their accounts?
Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer: Judy: n+7500

Tommy: 3(n+7500)+6

Step-by-step explanation:

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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
The lengths of two sides of a triangle are 3 feet and 5 feet. Which could be the length of the third side?
aivan3 [116]

Answer:

b) 8 feet

Step-by-step explanation:

5+3=8

So, the answer will be 8

6 0
2 years ago
Nine years less than 5 times the age a
hichkok12 [17]
5a-9
I think this is the answer I am a little unsure of what the question is.
4 0
3 years ago
Read 2 more answers
There are 10 marbles in a paper bag, 6 of which are red. The rest are blue. You play a game with your friend. If you draw a red
maria [59]
No, because you have 1 more marble than her. While you have 6 marbles in the bag, she has 4; there’s a 3/5 chance that you’ll win, and a 2/5 chance that she’ll win.
7 0
3 years ago
The equation below shows the relationship between the number of apples purchased, a, and the total cost
inessss [21]

Answer:

C

Step-by-step explanation:

a (5) = c (4)

5 x 4 = 20

20 (total) divided by the 5 apples is $4.

6 0
2 years ago
Read 2 more answers
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