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2 years ago

10

The initial population of a town is 4000 and it grows with a doubling time of 10 years what will the population be in 12 years

1 answer:

Doss [256]2 years ago

4 0

Population in 12 years ≈10, 108 people

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Let U be a universal set with subsets A and B such that n(U)=118, n(A)=57, n(B′)=69, and n(A∩B)=11. Find the following:

Arturiano [62]

$n(B)=n(U)-n(B')=118-69=49\\
n(A\cup B)=n(A)+n(B)-n(A\cap B)=57+49-11=95\\
n((A\cap B)')=n(U)-n(A\cap B)=118-11=107$

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3 years ago

in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your nume

Andrew [12]

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The $m\angle CAB$ and $m\angle CAD$ .

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

$m(arcADC)=m(arcAD)+m(arcDC)$

$228^\circ=180^\circ+m(arcDC)$

$228^\circ-180^\circ+=m(arcDC)$

$48^\circ+=m(arcDC)$

The measure inscribed angle is half of the corresponding subtended arc.

$m\angle CAD=\dfrac{1}{2}\times m(arcDC)$

$m\angle CAD=\dfrac{1}{2}\times 48^\circ$

$m\angle CAD=24^\circ$

AB is the tangent. So, $m\angle BAD=90^\circ$ because radius is perpendicular on the tangent and the point of tangency.

$m\angle BAD=m\angle CAB+m\angle CAD$

$90^\circ=m\angle CAB+24^\circ$

$90^\circ -24^\circ=m\angle CAB$

$66^\circ=m\angle CAB$

Therefore, $m\angle CAB=66^\circ$ and $m\angle CAD=24^\circ$ .

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2 years ago

Please hurry \/\/\/\/\/<br> []

Anastasy [175]

Answer:

They are equal.

Step-by-step explanation:

First, we can simplify the second equation by multiplying 7 times 6 and then 7 times 5 due to the distributive property.

$42+35 = 7(6+5)?\\42+35=(7 * 6)(7 * 5)\\42+35=42+35\\$

Therefore, using the distributive property, they are equal.

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2 years ago

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4vir4ik [10]

Answer:

yes she needs assistance

Step-by-step explanation

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3 years ago

What are the first 3 digits of the square root of Pi?

Tanya [424]

Hello!!

The square root of pi 3.14 is:

$1.77245385$

I am sure you can figure out the main point!

Good luck :)

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3 years ago

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