Write a two column proof for each.

If the Earth has revolved exactly once around the Sun since the last time that Samson went to the zoo, how much time has passed?

LenaWriter [7]

The correct answer among all the other choices is B. one year. If the Earth had revolved exactly once around the Sun since the last time that Samson went to the zoo, a year has passed. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.

8 0

4 years ago

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Draw a quadrilateral ABCD with AB = 8.5cm, BC =4.5cm, CD =5cm , DA = 6cm , BD =7.5cm. Draw an equal area Triangle

irina1246 [14]

Answer:

Check below please

Step-by-step explanation:

A quadrilateral is a polygon with four sides.

Then let's plot it, check it below.

1) Since 5 line segments were given for a quadrilateral, one of them is an interior one. In this quadrilateral, a rhombus. We have a diagonal, id est a line segment between non-consecutive points.

2) Let's calculate the area of this rhombus. Since this polygon is made up of two triangles let's find it using Heron's Formula, not very popular. But equally valid, also we don't have the height nor angles.

All we need is the semi-perimeter, (half of the Perimeter (2P) and plug it in the formula:

$\bigtriangleup ABD semi-perimeter:\frac{6+8.5+7.5}{2} \therefore s=11\\Area \:\bigtriangleup ABD=\sqrt{11(11-6)(11-8.5)(11-7.5)}=\frac{5\sqrt{77}}{2} \approx21.94 cm\\\\\bigtriangleup \:BCD\: semi-perimeter:\frac{4.5+5+7.5}{2} \therefore s=8.5\\\\Area \bigtriangleup BCD=\sqrt{8.5(8.5-4.5)(8.5-5)(8.5-7.5)}=\sqrt{119}\approx 10.90$

$Area\: of\: Rhombus\: ABCD=21.94+10.90=32.84 cm^2$

3) Well, now we need to trace a triangle whose area is 32.84 cm^2. From the classical formula for Area of Triangles we can write:

$\frac{b*h}{2}=32.84 \therefore b*h=65.68$

Let's find out two values one for the base and another for height. Since 65.58 can be divided both by two and three, it is divisible by 6.

So

$65.58 : 6 =10.93\\b=6\\h=10.93$

5 0

3 years ago

A population of bunnies triples every year if they were two bunnies at the beginning write an equation to figure out the total n

Alik [6]

Answer:

2 times 3 = x

Step-by-step explanation:

thats how i would do it

4 0

3 years ago

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HELP❕❗

ella [17]

Option B

$\frac{a^2b^7c^2}{a^2c^2} = b^7$

Solution:

Given that, we have to simplify the given expression

Given expression is:

$\frac{a^2b^7c^2}{a^2c^2}$

We can simplify the expression by cancelling the common terms in numerator and denominator

Take the common terms out in given expression

$\frac{a^2b^7c^2}{a^2c^2} = \frac{a^2c^2(b^7)}{a^2c^2}$

Cancel the common terms in numerator and denominator

$\frac{a^2b^7c^2}{a^2c^2} = \frac{a^2c^2(b^7)}{a^2c^2} = b^7$

Thus the simplified form of given expression:

$\frac{a^2b^7c^2}{a^2c^2}=b^7$

Thus option B is correct

4 0

3 years ago

Ethan went to the store and purchased a new DVD player and some movies fro $532. Th cost of the movies was 3 times as much as th

Juliette [100K]

The equation is provided below:

x = cost of DVD player
3x = cost of the movies
$532 = total amount purchased for the DVD player and the movies

$532 = x + 3x
$532 = 4x
$532 / 4 = 4x / 4
$133 = x (cost of the DVD player)

$133 * 3 = $399 (cost of the movies)

To check if the equation is correct:

$532 = $133 + ( 3 * $133)
$532 = $133 + $399
$532 = $532

The correct answer for the cost of the movies will be $399.

3 0

3 years ago