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motikmotik
3 years ago
14

Which expression represents the distance between the point (a,0) and (0,5)

Mathematics
1 answer:
ycow [4]3 years ago
5 0
That would be 
sqrt ( (a-0)^2 + (0-5)^2)

= sqrt (a^2 + 25)
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Five-sixths of the boats in the marina are white, 2 5 of the remaining boats are blue, and the rest are red. If there are 12 red
Inga [223]

Answer: There are 120 boats in the marina.

Step-by-step explanation:

Let's suppose that there are N boats

We know that 5/6 of them are white, then we have: (5/6)*N white boats.

The remaining is: N - (5/6)*N = (1/6)*N

We know that 2/5 of the remaining are blue, then we have:

(2/5)*(1/6)*N blue boats

And the rest are red, the rest is:

(1/6)*N - (2/5)*(1/6)*N = (3/5)*(1/6)*N

Then we have (3/5)*(1/6)*N red boats.

And we know that there are 12 red boats, then:

(3/5)*(1/6)*N = 12

Now we can solve this for N, which is the total number of boats in the marina.

N = 12*(6)*(5/3) = 120

There are 120 boats in the marina.

4 0
3 years ago
Help ASAP. 25 Points.<br><br> Find the length of the legs.
Snezhnost [94]
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4 0
3 years ago
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A pound of chocolate costs 8 dollars. Kelsha buys p pounds. Write an equation to represent the total cost c that Keisha pays.
mote1985 [20]

The equation would be 8 times the amount of pounds bought equals the amount paid.

<h2>Answer:</h2>

8p = c

5 0
3 years ago
The exact value of cos 13pi/8 is
Naily [24]

Answer:

answer is : Cos(13pi/8) = 0.3826  

Step-by-step explanation:

We have, Cos (13pi/8)

Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi

Hence 13pi/8 lies on fourth quadrant.

In fourth quadrant cosine will be positive.

Cos (13pi/8) = cos(3pi/2 + pi/8)

applying formula cos(A+B) = cos A cosB - sinAsinB

i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)

∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1

     Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)

     Cos(3pi/2 + pi/8) = 0  + 0.3826

      Cos(3pi/2 + pi/8) = 0.3826

Hence we got Cos(13pi/8) = 0.3826                          

6 0
3 years ago
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Write an expression for: 9 less than the product of 12 and a number x
Aleksandr [31]

The product of 12 and x can be displayed as 12x

9 less than 12x is displayed as 12x - 9


Answer: 12x - 9

8 0
3 years ago
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