1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
poizon [28]
3 years ago
12

Here are the dimensions of the oven tray Jenny bakes the cakes on 600mm by 500mm. Each cake tin is 25 cm in diameter. How many c

ake tins can Jenny fit on the oven tray at one time?
Mathematics
1 answer:
storchak [24]3 years ago
7 0
Given:
2 shapes: rectangle (tray) and circle (cake tin)

We need to find the area of each shape.

We need to convert mm to cm. 1mm = 0.1cm
600mm x 0.1cm/1mm = 60cm
500mm x 0.1cm/1mm = 50cm

Area of the Tray = 60cm * 50cm = 3,000cm²

Area of the cake tin = π r²
r = d/2 = 25/2 = 12.5cm

Area of the cake tin = 3.14 * (12.5cm)²
Area of the cake tin = 3.14 * 156.25cm²
Area of the cake tin = 490.625cm²

Area of the tray ÷ Area of the cake tin = number of cake tins that fit
3,000cm² ÷ 490.625cm² = 6.11 or 6 cake tins.

Only 6 cake tins Jenny can fit on the oven tray at one time.
You might be interested in
Which can be the first step in finding the equation of the line that passes through the points (5, -4) and (-1, 8) in slope-inte
abruzzese [7]

Answer:

y = -2x + 6

Step-by-step explanation:

Slope = (-4 - 8)/(5 + 1)

= -12/6

= -2

Equation

y - 8 = -2(x + 1)

y - 8 = -2x - 2

y = -2x + 6  <-----------slope-intercept form

7 0
3 years ago
Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!
galben [10]

Answer:

x = 3\sqrt{2}

y = 6\sqrt{2}

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

1 : \sqrt{3} : 2

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

x \times \sqrt{3} = 3\sqrt{6}

x = \dfrac{3\sqrt{6}}{\sqrt{3}}

x = 3 \times \sqrt{\dfrac{6}{3}}

x = 3\sqrt{2}

The hypotenuse is twice the length of the short leg.

y = 2 \times 3\sqrt{2}

y = 6\sqrt{2}

6 0
3 years ago
Read 2 more answers
If f(x)=3x-2,find f(8)-f(-5)
Alexandra [31]

To find both f(8) and f(-5), we will need to plug in their values for x and solve for each. Then, we can subtract them to find the final answer.

Finding f(8):

f(8) = 3(8) - 2

f(8) = 24 - 2

f(8) = 22

Finding f(-5):

f(-5) = 3(-5) - 2

f(-5) = -15 - 2

f(-5) = -17

Subtracting f(8) and f(-5):

f(8) - f(-5)

22 - - 17

22 + 17

39

Hope this helps!! :)

6 0
3 years ago
Find the difference between 1.97 and 20
cestrela7 [59]

Answer:

1.97-20= -18.03

20-1.97= 18.03

Step-by-step explanation:subtract the numbers from each other.

6 0
3 years ago
A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a ki
leva [86]
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)

Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is a integer? In mathematics
    5·1 answer
  • According to the pay stub, how much did this employee pay in FICA tax for this pay period? A) $648.51 B) $864.15 C) $215.64 D) $
    5·2 answers
  • Find the number of ways to purchase 5 different kinds of juices from a selection of 10 juices
    15·1 answer
  • Find the midpoint m of z1= (7 + 2i) and z2= (1 + 5i).
    12·1 answer
  • Nine times the sum of a number and 2 is 189. I need to make it to an equation.
    7·1 answer
  • Write an equation that represents the line.<br> Use exact numbers.
    12·1 answer
  • :( HELP PLSSSSSSSS :(
    13·2 answers
  • Justin used a container shaped like a cylinder for his dog's food. The dimensions of the container are shown below. What is the
    14·1 answer
  • Please help with this math problem!! :)
    8·1 answer
  • I will give brainliest! Please Help!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!