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3 years ago

11

Paula bought 2/3 of a kilogram of clay for the students in her pottery class. She then divided the clay evenly into pieces that

were 1/3 of a kilogram. Into how many pieces did Paula divide the clay?

1 answer:

Arada [10]3 years ago

5 0

Answer:

2 pieces

Step-by-step explanation:

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How can you divide 360 into 6 parts?

tankabanditka [31]

Use long division if you have to.
The answer is 60

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The angle of elevation from object a to object b is always ______ the angle of depression from object b to object a.

Marysya12 [62]

Answer:

Equal to

Step-by-step explanation:

The angle of depression from object A to object B is always Equal to the angle of elevation from object B to object A.

It was in the notes in slide 7 in the bottom

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2 years ago

Find the surface area of the prism.

Mekhanik [1.2K]

Answer: B 386

Step-by-step explanation:

(7*15)*2 + (7*4)*2 + (15*4)*2

= 210+120+56

= 386

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3 years ago

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Based on the data set shown, which of the following is a true statement?

patriot [66]

The mean, median, and mode are equal to 1. So among the choices, the first one is correct - mean = mode

Mean - an <em>average </em>of the given set of number; to find this, add the numbers and divide it by 11 (the number of given data)
= (-1 + -1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3) / 11
= 1

Median - the <em>middle or center</em> of the given set; to find this, arrange the numbers in numerical order, then get the center or middle number as the median
= <span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
= [</span><span>-1, -1, 0, 1, 1,] <u>1</u>, [1, 2, 2, 2, 3]

Mode - is the value that occurs most of the time in the given set; so obviously <em>number 1 occurred four times</em> so 1 is our mode
</span>

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3 years ago

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What is the square root of 864

skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

Take any number that is repeated twice in the square root, and move it outside of the root:

$\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}$

$\sqrt{2 \cdot 2} = \sqrt{4} = 2$

$\sqrt{3 \cdot 3} = \sqrt{9} = 3$

$\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}$

$\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

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3 years ago