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2 years ago

Find the perimeter of the parallelogram with these vertices.

Mathematics

1 answer:

blondinia [14]2 years ago

4 0

Check the picture below.

so we can say that two sides are "4" each in length, since opposite sides are equal, let's find how long the slanted sides are.

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-4)]^2 + [5 - 2]^2}\implies d=\sqrt{(3+4)^2+3^2} \\\\\\ d=\sqrt{49+9}\implies d=\sqrt{58} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{4~~ + ~~4~~ + ~~\sqrt{58}~~ + ~~\sqrt{58}\implies 8+2\sqrt{58}}$

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In the figure below, p ||q. <br> find m 7 if m 8=116°

Serjik [45]

Answer:

m∠7 = 64°

Step-by-step explanation:

∠7 and ∠8 are supplementary meaning they add up to 180°.

m∠7 + m∠8 = 180°

m∠7 + 116° = 180°

m∠7 = 64°

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2 years ago

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12 belongs to which set(s) of numbers?o Natural Numbers, Whole Numbers, and Integers onlyNatural Numbers and Whole Numbers onlyo

erastova [34]

Integers are written without no fractional components so 12 is an integer .

Natural numbers are positive numbers just like the number we count. 12 is a natural number.

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7 months ago

A business owner noted the features of the 100 cars parked at the business. Here are the results:

AlexFokin [52]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability is $P(4 \ doors | sunroof ) = 0.40$

Step-by-step explanation:

From the question we are told that

The number of cars packed is $n = 100$

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

This probability is mathematically represented as

$P(4 \ doors | sunroof )$

Baye's Rule define this probability mathematically as

$P(4 \ doors | sunroof ) = \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}$

From the diagram

$P(4 \ doors \ n \ sunroof ) = 20$

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$P(4 \ doors | sunroof ) = \frac{20}{50}$

$P(4 \ doors | sunroof ) = 0.40$

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3 years ago

Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound

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Answer:

$t=2.5\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045$

substitute in the formula above and solve for t

$14,000=12,500(e)^{0.045t}$

Simplify

$14,000/12,500=(e)^{0.045t}$

$1.12=(e)^{0.045t}$

Apply ln both sides

$ln(1.12)=ln[(e)^{0.045t}]$

$ln(1.12)=(0.045t)ln(e)$

Remember that

$ln(e)=1$

$ln(1.12)=(0.045t)$

$t=ln(1.12)/(0.045)$

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3 years ago

The top of a table is a parallelogram with a base of 28 cm and a height of 20 cm. Patty wants to cover the table with tiles that

suter [353]

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2 years ago

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