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Brums [2.3K]
3 years ago
15

The longer leg of a 30,-60,-90 degree triangle is 18: what is the length of the other leg

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer:

The other legs are 9 and 9√3

Step-by-step explanation:

The longer side of a 30-60-90 degree rectangle is 18.

The other legs will be

\frac{x}{2}

and

\frac{x}{2}  \sqrt{3}

Where x is the longest side, which is given as 18.

Therefore one leg will be:

\frac{18}{2}  = 9

and the other leg will be:

\frac{18}{2}  \sqrt{3}  = 9 \sqrt{3}

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4 0
2 years ago
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PLEASE HELP QUICK!!! A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some
Mekhanik [1.2K]

Answer: 3 kids take 3 pieces of candy each

Step-by-step explanation:

Let the number of children that took 3 pieces is x ( total take 3*x pieces of candy)

Number of children that took 5 pieces is y ( total take 5*y pieces of candy)

1 child took 1 piece that actually means that x+y=18 and 3*x+5*y=84.

( Because total number of all kids is 19. We just deduct one kid (Let his name is John) who took only 1 candy.  So we have 19-1 =18 kids without John. The similar is with the candies. Total number is 85. We deduct 1 piece which John has taken. )

So we have 2 equations or the system of 2 equations:

1).  x+y=18

2). 3*x +5*y=84

Multuply both sides of equation 1) by 3

We have   3*x+3*y=18*3

Deduct 3*y from both sides of this equation

3*x+3*y-3*y=54-3*y

3*x=54-3*y

Substitute 3*x in equation  2).  by 54-3*y

2) 54-3*y+5*y=84

2*y=30

y=15  ( kids take 5 pieces of candy each)

Using equation 1) find x

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x=3 (kids take 3 pieces of candy each)

5 0
3 years ago
I need help with my homework this is hard pls help thx!<br> z=m-x solve for x
lisov135 [29]

Answer:

x = m - z

Step-by-step explanation:

z = m - x       add x to both sides

z + x = m - x + x

z + x = m            subtract z from both sides

z - z + x = m - z

x = m - z

6 0
2 years ago
Read 2 more answers
Label the diagram
Tomtit [17]
A) y-axis

B) quad lll

C) x-axis

D) quad IV

Is this the answer you were looking for?
8 0
3 years ago
9x+18+3x=1
Katen [24]
The error is in the second step they subtracted 3 from both sides but it was a 3x, which you can not do.
Correction.
9x+18+3x=1
12x+18=1
12x=-17
x=-17/12
3 0
2 years ago
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