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iogann1982 [59]
3 years ago
9

Y is directly proportional to x2 If y = 12 when X = 2 find X when y = 300

Mathematics
2 answers:
diamong [38]3 years ago
7 0
3djbdbdndjdbdbhdndnd
Trava [24]3 years ago
4 0
80 I hope this helps
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the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle​
goldenfox [79]

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

Or

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

5 0
3 years ago
Daisy measured the heights of 20 plants.
sergiy2304 [10]

Answer:

  • 30.5 cm

Step-by-step explanation:

<em>Refer to attached</em>

  • Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
  • 0 <h < 10 >>  1  >> 5 >> 5
  • 10 <h < 20 >> 4 >> 15 >>  60
  • 20 <h < 30 >> 7 >> 25 >> 175
  • 30 <h < 40 >> 2 >> 35 >> 70
  • 40 <h < 50 >> 3 >> 45 >> 135
  • 50 <h < 60 >> 3 >> 55 >> 165

Sum of frequencies = 20

Sum of frequency x midpoint product = 610

<u>Mean height </u>

  • 610/20 = 30.5 cm

5 0
4 years ago
HELP I NEED THE ORDER
Licemer1 [7]

Answer:

892.3 X 6 = 5353.8

89.23 X 6 = 535.38

89.23 X 0.6 = 53.538

3 0
3 years ago
Help me please as soon as possible
SIZIF [17.4K]
If each case weighs 24 pounds, then 1p=24 pounds. so if we're trying to find a function of weight, p=24c.

Example: When you have 2 cases, you plug in a 2 for c

p=24c
p=24(2)
p=48

So if you have two cases, it will total 48 pounds,

So that is why the equation is p=24c. Hope this helps!


6 0
3 years ago
C.
Ulleksa [173]

(94.50 - 18.50) ÷ f = a

f=family members

a=answer

I don't know how many family members there are, but you would just replace f with the amount.

6 0
3 years ago
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