MATHEMATICS MIDDLE SCHOOL

Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown below?

Answers

Answer 1

Answer:

Answer:

The best option is;

A triangle with three equal sides all longer than 12 inches

Step-by-step explanation:

The cross sectional area of the square prism that passes through points A, B and C is found as follows;

Shape of cross section ABC = Triangle

Base, AB of the triangle is given by;

AB = √(8² + 8²) = √128 = 8·√2

Side, AC of the triangle is given by AC = √(8² + 12²) = 4√13

Therefore, the height of the triangle is given as follows;

Height, h = √(4·√13)²-(4·√2)² = 4·√11

The area of the cross section then is 0.5 × Base × Height

= 0.5 × 8·√2 × 4·√11 = 16·√22

A triangle with 3 equal sides of 8 inches has an area of 4×8×sin(60) = 16√3

A triangle with 2 equal sides of 12 inches and one side of 8 inches has an area of 4×12×sin(60) = 24√3

Therefore since 16·√22 > 24√3 > 16√3, the best option is a triangle with three equal sides of $(13(1453)/(8815))$ all longer than 12 inches.

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Which square root would be classified as rational √2, √16. √24, √40 which one of these numbers' square root be rational

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Square root of 16 would be the only rational number since it is the only whole number.

Plz help, so confused, will report, just need these answers and explainations, correctly, thanks:)

Answers

Answer: 35

Step-by-step explanation:

it is 35 good luck :)

Jeremy is practicing some tricks on his skateboard. One trick takes him forwards 4 feet, then he flips around and moves backwards 7.6 feet, then he moves forward again for 3.6 feet. Part 1 out of 2What expression could be used to find how far Jeremy is from his starting position when he finishes the trick? The expression that represents the situation is ?

Answers

First, you should define what forwards and backwards are - positive or negative. Let's make forwards positive and backwards negative. Then we'll call his new position "p":

p (his current position) = 4 feet - 7.6 feet + 3.6 feet

p = 7.6 feet - 7.6 feet

p = 0 feet

So, Jeremy ends up right back where he started.

A bakery used 25% more butter this month that the last month.If the bakery used 240 kilograms of butter last month,how much did it use this month?