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2 years ago

11

The diameter of a circle is 14 ft. Find its area to the nearest tenth.

2 answers:

Hunter-Best [27]2 years ago

4 0

Answer:

The answer is <em>153.9</em>

Step-by-step explanation:

To get the answer we will first <em>divide 14 by 2</em> because we are trying to find the area. 14 ÷ 2 = <em>7.</em> Now multiply<em> 7 x 7 x π</em>, which equals<em> 154.9</em> rounded to the nearest tenth.

Leokris [45]2 years ago

3 0

Answer:

153.9 ft.²

Step-by-step explanation:

$A=\pi r^2$ where r is the radius of the circle

The radius is equal to half the diameter, so to find r, divide 14 ft. by 2:

14÷2=7

Plug 7 into the equation as r

$A=\pi (7)^2\\A=\pi (49)\\A=153.9$

Therefore, the area of the circle is 153.9 ft.² when rounded to the nearest tenth.

I hope this helps!

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[30 POINTS] Please help!!!

Len [333]

Answer:

Part 1) $y=1.5x+5$

Part 2) $y=-(2/3)x-(11/3)$

Part 3) $y=0.25x+2.75$

Part 4) $y=-2x+5$

Part 5) $y=0.5x-1$

Part 6) The graph in the attached figure

Step-by-step explanation:

Part 1) we have

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$point(-2,2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

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Part 2) we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

$m1*m2=-1$

the slope of the line 1 is equal to

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$m2=-2/3$

Find the equation of the line 2

we have

$m2=-2/3$

$point(-7,1)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-1=(-2/3)(x+7)$

$y=-(2/3)x-(14/3)+1$

$y=-(2/3)x-(11/3)$

Part 3) we have

$m=1/4=0.25$

$point(1,3)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-3=0.25(x-1)$

$y=0.25x-0.25+3$

$y=0.25x+2.75$

Part 4) we have

$m=-2$

$b=5$ -----> y-intercept

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

substitute the values

$y=-2x+5$

Part 5) we have that

The slope of the line 4 is equal to $-2$

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the slope of the line perpendicular to the line 4 is equal to

$-2*m=-1\\m=(1/2)=0.5$

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Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand

victus00 [196]

Answer:

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Prefer Brand B and are Female = 40% ⇒ $P(B/F)=\frac{40}{100}=0.4$

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Solution : Using Bayes' theorem, which state that

$P(A/B)=\frac{P(B/A)P(A)}{P(B)}$

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$P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}$

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Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

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Step-by-step explanation:

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