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3 years ago

12

What is the height of the 8 stacks

1 answer:

Vlad1618 [11]3 years ago

5 0

Okay so to find volume of an object, it's "length×height×width/breadth".

Volume= length×height×width

V = l × h × w

In this case, you're sort of going backwards, trying to find the height.

So input the info you have:

10 (2)/(3) = 1 (1)/(3) × 4 × height

Multiply...

10 (2)/(3) = 5 (1)/(3) × h

Move them by using the simple algebra rules

10 (2)/(3) ÷ 5 (1)/(3) = h

2 cubic feet = height

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Step-by-step explanation:

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3 years ago

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An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to

iris [78.8K]

Answer: $BC=14.8$

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

$sin\alpha =\frac{opposite}{hypotenuse}$

In this case, you can identify that:

$\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24$

Substituting values, and solving for "x", you get:

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Therefore, the length of BC rounded to nearest tenth, is:

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2 years ago

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zhenek [66]

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If one of the zeros of the cubic polynomial x3 + ax2 + bx + c is -1, then what will be the product of the other two zeros?

zhenek [66]

Answer:

The product of the other two zeros is c

Step-by-step explanation:

Let α, β and γ be the zeros of the polynomial x³ + ax² + bx + c. Since one of the zeros is -1, therefore let γ = -1. Hence:

sum of the roots = α + β + γ = -a

-1 + β + γ = -a

β + γ = -a + 1

αβ + αγ + βγ = b

-1(β) + (-1)γ + βγ = b

-β -γ + βγ = b

Also, the product of the zeros is equal to -c, hence:

αβγ = -c

-1(βγ) = -c

βγ = c

Hence the product of the other two zeros is c

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3 years ago

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blagie [28]

Step-by-step explanation:

5x4-3x2+2x-4/x-3

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2 years ago