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3 years ago

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

Mathematics

1 answer:

MrMuchimi3 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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3 years ago

a family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of

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Car A consumes 25 gallon and car B consumes 15 gallon.

Step-by-step explanation:

Given,

The fuel efficiency of car A = 20 miles per gallon.

The fuel efficiency of car B = 15 miles per gallon.

In a week, two cars went 725 miles and consumed 40 gallons.

To find the consumption of each car in that week.

Let,

Car A consumed x gallon

Car B consumed y gallon.

According to the problem,

x+y = 40 ----- (1)

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or, 160-4y+3y = 145

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Hence,

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3 years ago

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3 years ago

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<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.

In this problem:

The percentage of smokers in 2014 was 16.7%, hence the initial value is $b = 16.7$

The percentage is decreasing by 5.6% each year, hence the slope is $m = -5.6$ .

Then, the <em>equation </em>is:

$y = mx + b$

$a(n) = -5.6n + 16.7$

You can learn more about linear functions at brainly.com/question/24808124

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3 years ago