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ziro4ka [17]
2 years ago
5

Here are the dimensions of the oven tray Lucy bakes the cakes on. ←700mm→↑600mm↓.A cake tin is 25cm in diameter. How many cake t

ins can Lucy fit on the oven tray at one time?
Mathematics
2 answers:
GREYUIT [131]2 years ago
8 0
700*600=420,000
420,000/10=42,000
Diameter = 25
so radius = 12.5
Pi*12.5^2=625/4Pi
42,000/625/4 Pi =86.56169741
=86.6
she can fit 86 tins
SVETLANKA909090 [29]2 years ago
5 0

Answer:

8

Step-by-step explanation:

Dimension of the oven = 700 mm × 600 mm

First we change mm to cm

As we know 10 mm = 1 cm

So, 700 mm = 70 cm and 600 mm = 60 cm

Area of base of the oven = 60 × 70

                                          = 4200 cm²

A cake whose base is circular in 25 cm diameter.

Radius is half of diameter, r=12.5 cm

So, Area of the base of tin cake = πr²

                                                     = π×12.5²

                                                    ≈ 490.87 cm²

Number of cake fit on the oven tray =\dfrac{\text{Area of oven}}{\text{Base area of cake}}

                                                    =\dfrac{4200}{490.87}

                                                    \approx 8.55

Hence, exactly 8 cakes fit on the oven tray at one time.

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ABC is a triangle and PQ is parallel to BC.<br>BC=12.6cm, PQ=8.4 cm and AQ= 7.2 cm.<br>Find AC​
nlexa [21]

With a line parallel to a side through a triangle we get similar triangles so a proportion.

AC : BC = AQ : PQ

AC = BC AQ / PQ

AC = 12.6 (7.2) / 8.4

AC = 10.8 cm

Answer: 10.8 cm

6 0
2 years ago
The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x do
alexdok [17]

Answer:

D,B,C,A

Step-by-step explanation:

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8 0
1 year ago
4(g - 1 )=24<br>what is the answer
babunello [35]
Hello There!

First Expand:
4g - 4 = 24
Then solve:
4g = 24 + 4
4g = 28
g = 28/4
g = 7.

Hope This Helps You!
Good Luck :) 
6 0
2 years ago
Read 2 more answers
Conor has a roll of fence that is 25 feet long. He needs 8 yards of fence to go around a flower bed. Does he have enough fence t
vlabodo [156]

Answer:

Yes he has enough fence to go round the flower bed.

Step-by-step explanation:

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8 0
2 years ago
I need the answers thanks :)
bogdanovich [222]
1.) y=3
2.) y=13
     2y + y = 3y , 22+17= 39
     3y = 39 , divide 3 on each side (which cancels out the 3 with the y which leaves you with y)
3.) y=10
     3y - y = 2y , 35-15= 20
     2y=20 , do the same as # 2.
4.) y=4
     9y - 5y = 4y , 48-32= 16
     4y=16, do the same as #2 & #3
5.) (4,5)
     x + 3y = 19
   2x - 3y = -7
    solve for x first ; x + 2x= 3x , 19-7 = 12; 3x = 12 ; divide 3 ; x= 4. You know have to make the x's cancel out. so I will multiply -2 on the first equation. -2(x+3y=19)
     -2x - 6y = -38
      2x - 3y = -7
    Now solve for y ; -6y + -3y = -9y , -38 + -7 = -45; -9y=-45 ; divide by -9 (since they are both negative your answer will be positive) ; y= 5
6.) (6,8)
   x + 4y = 38
  -x - 3y = -30
solve for y first ; 4y - 3y = y , 38-30 = 8; y=8 (that simple!) Now you need to find a common multiple for 4 & 3 which is 12. So you will have to multiply each equation by either 4 or 3.
  (x + 4y = 38)*3      =     3x + 12y = 114         
 (-x - 3y = -30)*4     =     -4x - 12y = -120
solve for x ; 3x - 4x = -x , 114-120= -6 ; -x=-6. Since the x has a negative that means there's still a 1 there so -1x=-6 ; you will need to divide this which makes the 6 a positive; x=6


8 0
2 years ago
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