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Sauron [17]
3 years ago
14

Seven cookies of radius $1$ inch are cut from a circle of cookie dough, as shown. Neighboring cookies are tangent, and all excep

t the center cookie are tangent to the edge of the dough. The leftover scrap is reshaped to form another cookie of the same thickness. What is the radius in inches of the scrap cookie?
Mathematics
2 answers:
notsponge [240]3 years ago
7 0

3\pi^{2} -7\pi =2\pi \\r^{2} \pi =2\pi \\r^{2}=2 \\r=\sqrt{2}

lukranit [14]3 years ago
4 0

Answer:2

Step-by-step explanation:

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Hey there please help me with this question
olga_2 [115]

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 2 + 1 = 3 parts , thus

81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio

2 parts = 2 × 27 = 54 cm²

Area of A = 54 cm² and area of B = 27 cm²

The side of the original square = \sqrt{81} = 9 cm

The width of both rectangles is 9 cm ( width remains unchanged after cut )

Thus

Rectangle A

9 × length = 54 ( divide both sides by 9 )

length = 6 cm

Rectangle B

9 × length = 27 ( divide both sides by 9 )

length = 3 cm

Rectangle A → length = 6 cm, width = 9 cm

Rectangle B → length = 3 cm , width = 9 cm

5 0
3 years ago
Read 2 more answers
Assume that blood pressure readings are normally distributed with a mean of 123 and a standard deviation of 9.6. If 144 people a
Vanyuwa [196]

Answer:

The probability is 0.9938

Step-by-step explanation:

In this question, we are asked to calculate the probability that the mean blood pressure readings of a group of people is less than a certain reading.

To calculate this, we use the z score.

Mathematically;

z = (mean - value)/(standard deviation/√N)

From the question, we can identify that the mean is 125, the value is 123 , the standard deviation is 9.6 and N ( total population is 144)

Let’s plug these values;

z = (125-123)/(9.6/√144) = 2.5

Now we proceed to calculate the probability with a s score less than 2.5 using statistical tables

P(z<2.5) = 0.9938

8 0
3 years ago
Which of these answers best describes the core?
lesya [120]
Full question plzz we need to know what the core is
6 0
3 years ago
Write the expression in factored form x^2 + 12x + 36
Alex Ar [27]
(x + 6) (x + 6)

(x + 6)^2
6 0
3 years ago
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Nadusha1986 [10]

Answer:

9

Step-by-step explanation:

find absolute value

5 0
2 years ago
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