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2 years ago

Given: AB tangent at D, AD = OD = 4 Find: Area of the shaded region

Mathematics

1 answer:

MrMuchimi2 years ago

4 0

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

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How to solve -18=6y+6(1+3y)

slamgirl [31]

Answer:-1

Step-by-step explanation:

I rewrote it so it looks like this:

6y+6(1+3y)=-18

6y+6(1)+6(3y)=-18

6y+6+18y=-18

24y+6=-18

-6 -6

24y=-24

24 24

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6 0

2 years ago

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Jamar is buying bottles of juice for his his class party A pack of 12 bottles of juice cost $3.96 determine the cost of 1 bottle

NeX [460]

Answer: The cost of 1 bottle of juice is $0.33 or 33 cents.

Step-by-step explanation: Divide the total cost by the amount of bottles of juice to find how much each bottle costs.

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2 years ago

An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviatio

Lena [83]

Answer:

The width is $w = \$ 729.7$

Step-by-step explanation:

From the question we are told that

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The sample size is $n = 50$

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Given that the confidence level is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

=> $\alpha = 1\%$

=> $\alpha = 0.01$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58$

Generally margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 2.58 * \frac{1000 }{\sqrt{50} }$

$E = 364.9$

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substituting values

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5 0

2 years ago

(b) Find the value of 3^6

Zolol [24]

Answer:

Hey

The answer of your question is 729.

6 0

2 years ago

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Find the value of this expression if x=-7. x^2 -1 /x+4

belka [17]

Answer:

-16

Step-by-step explanation:

x^2 -1 /x+4

By putting the value of x in the expression as x = -7

= (-7)^2 - 1/ -7 +4

= (+49) - 1/ -3

= 48/-3

= -16

6 0

2 years ago