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2 years ago

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1)The square shown has a perimeter of 32 units. The square is rotated about line k.

2 answers:

monitta2 years ago

7 0

Answer:

D. a cylinder with a circumference of about 50 units

Step-by-step explanation:

I just took the test on Edg, this is the actual answer. :) Good luck!

natali 33 [55]2 years ago

5 0

1. The perimeter of the square is 32 units, means each side is 32/4=8 units.

rotating the square about line k forms a cylinder with base radius equal to 8 units, and height equal to 8 units. (check the first picture)

the circumference of the base is C=2πR=16π units=16*3.14 units = 50.24 units.

Answer: <span>a cylinder with a circumference of about 50 units

2.
Rotating the equilateral triangle around line a, produces a cone with base radius equal to half of one side of the triangle, that is r=10mm.

(check picture 2)

The circumference is </span>C = 2πr=<span>C = 2*3.14*10=62.8 mm

Answer: </span><span>a cone with a base circumference of about 63 mm</span>

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exis [7]

The simplest form of the given expression $3\frac{11}{12} - 1\frac{4}{12}$ is $\frac{31}{12}$

<u>Solution:</u>

Given, expression is 3 11/12 – 1 4/12 $\rightarrow 3 \frac{11}{12}-1 \frac{4}{12}$

We have to find the simplest form of the value derived from the given expression.

Now, first let us solve the given equation.

$3 \frac{11}{12}-1 \frac{4}{12}$

converting mixed fractions to improper fractions.

$=\frac{3 \times 12+11}{12}-\frac{1 \times 12+4}{12}$

$\frac{36+11}{12}-\frac{12+4}{12}=\frac{47}{12}-\frac{16}{12}=\frac{47-16}{12}=\frac{31}{12}$

As there are no common terms to cancel it is in lowest form.

Hence, the lowest form of the given expression is $\frac{31}{12}$

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