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topjm [15]
3 years ago
8

The area of the shaded region

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0

Answer:

27.74cm^2

Step-by-step explanation:

area of circle: 3 times 3 times pi = 28.26cm^2

area of square: 8 times 7 = 56cm^2

subtract area of circle from square

56-28.26=27.74cm^2

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HELP RIGHT AWAY!!!PLEASE EXPLAIN HOW TO SOLVE THE PROBLEM
kumpel [21]

Answer:

264

Step-by-step explanation:

Volume = Area of cross section x height

Area of cross section = 1/2 bh

1/2 (8x6) = 24

24 x 11 = 264 yd^3

8 0
2 years ago
A family consists of a father, a mother and 2 children. What is the probability that all 2 children are boys?
pashok25 [27]

Answer:

¼

Step-by-step explanation:

The probability of having a boy is ½ and that of a girl is ½.

Probability of boy, boy is (pb*pb) and given pb to be ½ then we can prove the point as follows

For these two children

The options are as follows

1 boy(first) and 1 girl

2 boys

2 girls

1 girl( first) and 1 boy

These are four possible options and the option for two boys is 1 out of the four.

The probability of 2 boys is ½*½=¼

4 0
3 years ago
Marian buys a dress that costs $32.00. She pays 10%
never [62]

Answer:

B, $35.20

Step-by-step explanation:

32 increase 10% =

32 × (1 + 10%) = 32 × (1 + 0.1) = 35.2

4 0
2 years ago
Read 2 more answers
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
gizmo_the_mogwai [7]

Answer:

The large sample n = 1713.96

Step-by-step explanation:

<u>Explanation</u>:-

given the population proportion was estimated to be 0.22

population proportion (P) = 0.22

The 95 % level of significance = 1.96≅ 2

The margin of  error = 0.02

The formula of margin error

                                   \frac{2\sqrt{p(1-p)} }{\sqrt{n} } = 0.02    …  ( i )

Substitute 'p' values in equation (1)

\frac{2\sqrt{0.22(1-0.22)} }{\sqrt{n} } = 0.02

cross multiplication and simplification, we get

2X0.414= 0.02 \sqrt{n}

\frac{2X0.414}{0.02} = \sqrt{n}

41.4 = \sqrt{n}

squaring on both sides, we get

the large sample n = 1713.96

7 0
2 years ago
1. The equation of a circle is x^2 + y^2 + 6x - 4y + 4 = 0. What are the center and the radius of the circle? Show ALLLLLL your
Novosadov [1.4K]

Answer:

(2, -3) and r = 3.

Step-by-step explanation:

you can also plug this equation in desmos but I guess it's good to know how to do it also:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

Now in order to make a perfect square on both sides, we need to do this:

First add 9 to both sides:

x^2 + 6x + 9 + y^2 -4y +4 = 9.

I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:

(x+3)^2 + y^2 - 4y + 4 = 9.

now the second bolded part is allso a perfect square. Factor:

(x+3)^2 + (y-2)^2 = 9

Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.

:)

8 0
2 years ago
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