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Vadim26 [7]
3 years ago
8

If the radius of a circle is 3.21 mm, what is the area of the circle? 32.35 mm2 10.08 mm2 20.162 129.42 mm2​

Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

32.35mm2

Step-by-step explanation:

3.21 squared is 10.3041

and Multiply 10.3041 by pi(3.14) to get 32.354

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Find the ages of the people and tree
Harlamova29_29 [7]

Answer:

1. Callum = 2; Eilidh = 17; Caitlin's =22.

2. Ewan = 44; tree = 308.

Explanation:

Q1. Callum, Eilidh, and Caitlin

Let x = Callum's age

     y = Eilidh's age

     z = Caitlin's age

We have three conditions.

(1)  x = y - 5

(2) z = y + 15

(3) x + y + z = 31

Step 1. Eliminate one of the variables in two of the equations

Subtract (1) from (2):                      z - x = 20

Rearrange:                 (4)             -x + z = 20

Solve (2) for y:           (5)                     y = z - 15

Substitute into (3):         x +  z - 15  + z = 31

                                 (6) x + 2z             = 46

Step 2. Set up two new equations in two variables

(5)                          -x +   z = 20

(6)                           x + 2z = 46

Add (5) and (6):           3z = 66

Divide each side by 2: z = 22

Step 3. Substitute z into (5)

-x + 22 = 20

 x          = 2

Step 4. Substitute x into (1)

                                    2 = y - 5

Add 5 to each side     y = 7

Callum's age is 2; Eilidh's age is 7; Caitlin's age is 22.

Q2. Ewan and the tree

Let x = Ewan's age

      y = tree's age

We have two conditions.

                                     (1)          y = 7x

                                     (2)   x + y = 352

Rearrange (1)                (3) -7x + y =     0

                                     (2)    x + y = 352

Subtract (3) from (2)          8x       = 352

Divide each side by 8         x       =    44

Substitute y into (1)                    y = 7 × 44

                                                  y =   308

Ewan's age is 44; the tree's age is 308.

5 0
3 years ago
A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.
Bas_tet [7]

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= P(6 \ males)+ P(7 \ males)

= \frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}

= \frac{5005\times 1716+6435\times 1287}{30421755}

= \frac{16870425}{30421755}

= 0.5545

8 0
3 years ago
Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes f
Alexxx [7]
3 hours and 55 minutes - 15 minutes would leave 3 hours and 40 minutes. You figure there’s 20 minutes 3 times in an hour so 3x3 is 9 + the extra 2 20 minute periods from the 40 minutes. So 11 batches of cookies, 48x11= 528. Amy made 528 cookies.
5 0
2 years ago
5 (5) - -2 =<br><br> ( worth 10 points)
Irina-Kira [14]

Answer:

I think 27 is the answer

7 0
3 years ago
Read 2 more answers
A photograph of a painting measures 13 units by 17 units. If the scale factor is 1/3, what is the actual size of the painting?
Vlad1618 [11]

Answer:

39 units by 51 units

Step-by-step explanation:

The painting is a scale factor of 1/3, so each side length is 1/3 of the original.  To find the original multiply both side lengths by 3.

13x3 = 39

17 x 3 = 51

5 0
3 years ago
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