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ohaa [14]
2 years ago
13

~A certain rectangular prism has a height of h inches, a width that is 3 inches less than its height, and a length that is 4 inc

hes more than its height. Ifthe area ofthe base of the prism is 60 square inches, what is the volume of the prism, in cubic inches?
SAT
1 answer:
3241004551 [841]2 years ago
3 0

Answer:

Volume = 480 cubic inches

Explanation:

We have the following relationships to work with

width w = h -3

length l = h + 4

area of base of prism a = l x w = 60  (1)

area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)

Setting (1) = (2) gives

h² + h -12 =60

h² + h -72 = 0

Factoring the LHS we get

(h+9)(h-8) = 0

The solutions for h are

h + 9 = 0 ==> h = -9

h - 8 = 0 ==> h = 8

Since h cannot be negative, h = 8 inches

Volume = base area x h = 60 x 8 = 480 cubic inches

<u>Note</u>

We do not have to calculate length and width separately, but if so,

w = 8 -3 = 5

l = 8 + 4 = 12

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Prolog languages are logics that are used when creating programs that require artificial intelligence.

The prolog rule to define the predicate grandfather(x, y) is grandfather(X,Y) :- mother(M,Y), father(X,M); father(F,Y), father(X,F)

<h3>How to determine the prolog rule</h3>

From the question, we have the following definitions:

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For x to be the grandfather of y, then either of the following definitions must be true

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Using the above highlights, the prolog rule would be

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Which sequence correctly indicates the branching pattern of the human respiratory system?.
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Assume that the graphs in this figure represent the demand and supply curves for almonds. Which panel best describes what happen
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The  panel that best describes what happens in this market if there is an increase in the productivity of almond harvesters  is Panel (a).

<h3>What  is demands?</h3>

Demand is known to be the rate or the quantity of consumers who are known to be readily available or willing and able to buy a given products at any prices in course of a given period of time.

Note that the Demand for any commodity is one that tells that the consumers' need to get the good, their willingness also to pay for it.

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7 0
1 year ago
A photographic stop bath contains 160ml of pure acetic acid.
NeTakaya

Answer:

Solving for the Percent by Volume

The v/v concentration of acetic acid in the stop bath is 24.6%.

Explanation:

To answer the question, we need to identify certain information stated in the question. Let us write down what’s given:

Volume of solute = 160 mL

Volume of solution = 650 mL

Next, we need to determine what is required, in this case, the percent by volume. Now, let us look at the formula:

v/v concentration = (solute volume / volume of the solution) * 100

Solution:

Percent by Volume = (160 / 650) * 100

Percent by Volume = 0.2461538461538462 * 100

Percent by Volume = 24.61538461538462

Rounded off = 24.6%

Therefore, the final answer is 24.6%

Explanation:

7 0
2 years ago
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