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user100 [1]
3 years ago
12

The area of the triangle below is 5.52 square feet. What is the length of the base?

Mathematics
1 answer:
pogonyaev3 years ago
8 0

Answer:

  4.6 ft

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Fill in the given values and solve for the base.

  5.52 = 1/2b(2.4)

  5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b

The base is 4.6 feet.

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<u>The function that represents the </u><u>volume</u><u> of the chest is </u><u>40.</u>

What is a volume simple definition?

  • The amount of space occupied by a three-dimensional figure as measured in cubic units (as inches, quarts, or centimeters)  cubic capacity.
  • The amount of a substance occupying a particular volume.

When the Area of rectangular chest:

A(x) = 20√x /3

⇒ Volume of chest = Base area  x Height

Therefore:

(X + 6) × 20√x /3

(20x√x /3 ) + (20 × 6√x/3)

(20x√x /3 ) + (20 × 2 × 3√x/3)

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Therefore, the correct answer for the drop-down menu is that the first blank is multiply and the second blank is 40.

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2 years ago
How many time greater is 7,000 than 700?
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Answer the question<br> If you're right I'll MARK YOU BRAINLIEST!!
natka813 [3]

Answer:

2x\sqrt{40x}-2x\sqrt{5}

Step-by-step explanation:

2x\sqrt{40x}-2x\sqrt{5} is found by first, siplifying the radicals in the parenthesis. \sqrt{8x^{2} } can be simplified as 2x\sqrt{2} and -2\sqrt{x} stays the same. Now we have to multiply these two by \sqrt{5x} which then results in 2x\sqrt{40x}-2x\sqrt{5}

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Find the indicated limit, if it exists.
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Answer:

d) The limit does not exist

General Formulas and Concepts:

<u>Calculus</u>

Limits

  • Right-Side Limit:                                                                                             \displaystyle  \lim_{x \to c^+} f(x)
  • Left-Side Limit:                                                                                               \displaystyle  \lim_{x \to c^-} f(x)

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Limit Property [Addition/Subtraction]:                                                                   \displaystyle \lim_{x \to c} [f(x) \pm g(x)] =  \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}

<u>Step 2: Find Right-Side Limit</u>

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  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  \lim_{x \to 5^+} 5 - x = 5 - 5 = 0

<u>Step 3: Find Left-Side Limit</u>

  1. Substitute in function [Limit]:                                                                         \displaystyle  \lim_{x \to 5^-} x + 3
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  \lim_{x \to 5^+} x + 3 = 5 + 3 = 8

∴ Since  \displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)  , then  \displaystyle \lim_{x \to 5} f(x) = DNE

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

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Step-by-step explanation:

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