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Elis [28]
3 years ago
9

The variable z is directly proportional to x, and inversely proportional to y. When x is 6 and y is 6, z has the value 12.

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

z is directly proportional to x: z = kx.

If z is directly proportional to x and inversely proportional to y, then z = Kx/y.

When x= 6 and y = 6, z is 12. Find the constant of proportionality, K:

12 = K(6/6), or K = 12

Then, in general, z = 12x/y.

What is z when x=13 and y=10? z = 12(13)/(10) = 15.6 (answer)

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6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that thei
BaLLatris [955]

Answer:

96

Step-by-step explanation:

Using side b as the base, 4 points makes 3 bases (the space in between).  With three bases, you can have 3 bases of 1 segment, 2 bases of 2 segments, and 1 base of 3 segments.  This equals 6 bases. Each of these can connect to a point on line a. 6x6=36

Using side a as the base, 6 points makes 5 bases.  With 5 bases, you can have 5 bases of 1 segment, 4 bases of 2 segments, 3 bases of 3 segments, 2 bases of 4 segments, and 1 base of 5 segments.  This equals 15 bases.  Each of these can connect to a point on line b.  15x4=60

36+60=96

5 0
3 years ago
Read 2 more answers
If you take 2 1/2 tablets of meds 3 times a day for 10 days, how many tablets in total have you taken?
Alisiya [41]
This is how I solved it.
2.5 multiplied by 3 is 7.5, which equals how many she takes a day.
Then I multiplied 7.5 by 10 = 75. I did that because the meds are taken for 10 days. 
Also if you added 7.5 ten times is also 75.

So my final answer is that 75 tablets have been taken in total.

3 0
3 years ago
A block of cheese has a volume of 280 cm3 and a mass of 230 g.
Leviafan [203]

Answer:

2.7g/cm^3

step-by-step explanation:

6 0
3 years ago
If on a scale drawing 24 inches equals 10 ft. what does 1/8 inches equal
OLga [1]

Answer:

 \large\boxed{\large\boxed{(5/96)ft\approx 0.052ft}}

Explanation:

1. Use the scale ratio to set a proportion with the unknown lenght.

       24inches/10ft=(1/8)inches/x

2. To solve for x, use cross multiplication:

        24inches\times x=10ft\times(1/8)inches

3. Divide both sides by 24inches:

          x=10ft\times(1/8)inches\times (1/24inches)

4. Simplify:

          x=10ft/192=(5/96)ft\approx 0.052ft

6 0
4 years ago
Solve in radians help plz
PIT_PIT [208]
I think we can use the identity  sin x/2  = sqrt [(1 - cos x) /2]

cos x -  sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1

cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) =  cos x - 1   Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1

cos^2 x - 0.5 cos x - 0.5 = 0 

cos x = 1 , -0.5

giving x = 0 , 2pi, 2pi/3,  4pi/3  ( for  0  =< x <= 2pi)

because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.

The last 2 results dont fit so the answer is  x = 0 , 2pi Answer
5 0
3 years ago
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