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elixir [45]
3 years ago
10

Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of th

e cake . What's the circumference
Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r    (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

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The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two
Savatey [412]

Answer:

The two numbers are:

30 and 18

Step-by-step explanation:

a + b = 48

a - b = 12

From the first eq.

a = 48 - b

Replacing this last value in the second eq.

(48 - b) - b = 12

48 - 2b = 12

48 - 12 = 2b

36 = 2b

36/2 = b

18 = b

from the first eq.

a + 18 = 48

a = 48 - 18

a = 30

Check:

from the second eq.

a - b = 12

30 - 18 = 12  

5 0
2 years ago
How many numbers from 300 to 899 contain atleast one four
svetlana [45]


The awnser is about 50
3 0
2 years ago
Read 2 more answers
Which is not a correct way to rewrite this expression using the distributive
Effectus [21]

Given:

The expression is

(2x^2+4x-7)(x-2)

To find:

The expression which is not a correct way to rewrite the given expression.

Solution:

We have,

(2x^2+4x-7)(x-2)

Using distributive property, we get

=(2x^2)(x-2)+(4x)(x-2)+(-7)(x-2)

=(2x^2)(x)+(2x^2)(-2)+(4x)(x)+(4x)(-2)+(-7)(x)+(-7)(-2)

Using distributive property the given expression can rewritten as:

=(2x^2+4x-7)(x)+(2x^2+4x-7)(-2)

Only the expression in option A is not a correct way to rewrite the given expression because (2x^2+4x-7) is not distributed to (x-2) properly.

Therefore, the correct option is A.

3 0
2 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
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First set up a proportion because they are similar triangles:
9/3x-20 = (72+9)/(56+3x-20)
9/3x-20 = 81/3x+36
9(3x+36) = 81(3x-20)
27x+324 = 243x-1620
1944 = 216x
x = 9
4 0
3 years ago
Read 2 more answers
there are 48 students in a school play. the ratio of boys to girls is 5:7. how many more girls than boys are in the school play?
Alex Ar [27]
We can use trial or error method here...

If we take 4 table, 4*5 = 20 and 4*7 = 28. 20+28 = 48.
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So, there are 20 boys and 28 girls in a school play and there are 8 girls more than boys.

If you look over tables and try it out, only 4 table works for the given ratio.
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3 years ago
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