ABCD is a rectangle with AC=20 and AB=2BC. What is the area of rectangle ABCD?

Answers

Answer 1

Answer: $AC= 20 , \ AB=2BC \n\n Pythagorean\ theorem,\ we \ have : \n \n |AC|^2 = (2|BC|)^2+ |BC|^2 \n \n20^2 = 4|BC| ^2+ |BC|^2 \n \n400 =5|BC|^2\ \ /:5$

$|BC|^2=80 \n \n|BC|=√(80)=√(16\cdot 5)=4√(5)\n \n|AB|=2\cdot |BC| =2\cdot 4√(5)=8√(5)\n \nArea = |AB|\cdot |A|\n \nArea=8\cdot √(5)\cdot 4\cdot √(5)=32 \cdot 5 = 160 \n \n Answer : Area \ ABCD \ a \ rectangle = 160$

Answer 2

Answer: Let AB = 2x and BC be x.

By pythagoras theorum,

20² = x² + (2x)²

400 = x² + 4x²
400 = 5x²
80 = x²

x= √80 = 4√5 , thus, 2x = 8√5

Now, area = AB x AC

= 4√5 * 8√5

= 32 * 5

= 160

Thus, the area of rectangle ABCD is 160 units

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The winner of a raffle will receive 3/4 of the money raised from raffle ticket sales. The raffle raised $530.40. How much money will the winner of the raffle get

Answers

Convert (3/4) into a decimal which is .75 (75%). Then multiply the decimal to the total amount of $530.40 which yields $397.80.
In other words 75% of the total $530.40 is given to the winner which is $397.80.

Final answer:

The raffle winner will receive $397.80. This is found by multiplying the total money raised ($530.40) by the fraction of the money the winner will receive (3/4).

Explanation:

To find out how much money the winner of the raffle will get, you need to multiply the total amount of money raised by the fraction of the money that the winner will receive. The fraction given in this scenario is 3/4.

To solve this, you can follow these steps:

Determine the total money raised. Here, the total money raised was $530.40.
Multiply the total amount raised by the fraction the winner will receive. In this case, $530.40 is multiplied by 3/4.
Complete the multiplication. The answer is the amount the raffle winner will get.

So, $530.40 * 3/4 = $397.80

Therefore, the raffle winner will receive $397.80.

Learn more about fraction multiplication here:

brainly.com/question/23715562

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PLEASE HELP!!!!!!!!!!!!!BEST ANSWER WORTH 40 POINTS PLEASE HELP!!
Which equation is true for any value of y?
A. 4y^2+2=(4y*4y)+2
B. 4y^2+2=(4y+y)+2
C. 4y^2+2=4(y+y)+2
D. 4y^2+2= 4(y×y)+2

Answers

$4y^2+2=(4y\cdot4y)+2\n4y^2+2=16y^2+2 \leftarrow \text{not identity}\n\n4y^2+2=(4y+y)+2\n4y^2+2=5y+2 \leftarrow \text{not identity}\n\n4y^2+2=4(y+y)+2\n4y^2+2=8y+2 \leftarrow \text{not identity}\n\n4y^2+2=4(y\cdot y)+2\n4y^2+2=4y^2+2 \leftarrow \text{identity}$

So it's D.

A car travels 480 miles on 15 gallons of gasoline. How many miles does the car travel per gallon?

Answers

Answer:

32 miles the car travel per gallon.

Step-by-step explanation:

Given : A car travels 480 miles on 15 gallons of gasoline.

To find : How many miles does the car travel per gallon.

Solution : We have given

A car travels on 15 gallons = 480 miles .

A car travels on 1 gallons = $(480)/(15)$ .

A car travels on 1 gallons = 32 miles.

We can say 32 miles the car travel per gallon.

Therefore, 32 miles the car travel per gallon.

you take 480 and divide it by 15, because it says per gallon. so then if the car goes 480 miles with 15 gallons, you have to figure out how to find per gallon. you divide 480/15 and your answer is 32

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section? 6 over 20 3 over 20 9 over 20 17 over 20

Answers

We have 3 sections.

$\sf~Red=(11)/(20)$

$\sf~Blue=(6)/(20)$

So the entire spinner is divided into $\sf20$ sections.

Since we only have 3 sections(red, blue, green) we can add red and blue, and subtract 1 or 20/20.

$\sf(11)/(20)+(6)/(20)\rightarrow(11+6)/(20)\rightarrow(17)/(20)$

Subtract:

$\sf(20)/(20)-(17)/(20)=\boxed{\sf(3)/(20)}$

So the probability that the arrow landing on a green-colored section is $\sf(3)/(20)$ .

Answer:

3 over 20

Step-by-step explanation:

please help me smart people!!if u are smart u will answer my problem correctly!!! let's test your mind!!!

Answers

The equation is 40 + x = y

40x=y, you need to solve for why. X is the amount of time she studied the second time so find x and then multiply and you can find X.

What is 1/50 in decimal form?

Answers

= 1/50

= 1 ÷ 50

= 0.02

0.2 would be it's decimal form.

Hope this helps. :)

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