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sergey [27]
3 years ago
7

What is the area of a triangle that has a height of 8 feet and a base length of 5 feet?

Mathematics
2 answers:
Lena [83]3 years ago
7 0

Answer:

20 ft²

Step-by-step explanation:

the area (A) of a triangle is calculated using the formula

A = \frac{1}{2} bh ( b is the base and h the height )

here b = 5 and h = 8

A = \frac{1}{2} × 5 × 8 = 20 ft²


sertanlavr [38]3 years ago
3 0

Hello!

100% CORRECT

-------------------------------------------------------------------------------------------

Answer: The correct answer is 20 feet²

Explanation: I did the exam and it was correct!

------------------------------------------------------------------------------------------

Hope this helps!

Happy Holidays!!!! :)

*(Vanessa)*

*Don't forget to mark brainliest person! :)

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3 0
2 years ago
Read 2 more answers
Determine the area of the given region under the curve <br> (1/x^4) [1,2]
Nikolay [14]

Answer:

\displaystyle \frac{7}{24}

General Formulas and Concepts:

<u>Algebra I</u>

  • Exponential Rule [Rewrite]: \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

[Area] Limits of Riemann's Sums - Integrals

Integration Rule [Reverse Power Rule]:                                                                    \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                          \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2]<u />

<u />

<u>Step 2: Find Area</u>

  1. [Integral] Set up area:                                                                                    \displaystyle \int\limits^2_1 {\frac{1}{x^4}} \, dx
  2. [Integral] Rewrite:                                                                                            \displaystyle \int\limits^2_1 {x^{-4}} \, dx
  3. [Integral] Reverse Power Rule:                                                                      \displaystyle \frac{-1}{3x^3} \bigg| \limits^2_1
  4. [Area] Fundamental Theorem of Calculus:                                                   \displaystyle \frac{7}{24}

Topic: Calculus

Unit: Basic Integration/Riemann Sums

Book: College Calculus 10e

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2 years ago
Which equation represents a line with a greater slope and lesser y intercept than the line shown?
Alina [70]
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6 0
3 years ago
Suppose that E and F are two events and that N(E and F)=300 and N(E)=730. What is P(F|E)?
marin [14]

Answer:

\displaystyle\frac{30}{73}

Step-by-step explanation:

The formula of conditional probability is:

\displaystyle P(F|E)=\frac{P(E \cap F)}{P(E)}

And if we called N(U) the total number of possible outcomes, then remember by definition of probability:

\displaystyle P(E \cap F)=\frac{N(E \cap F)}{N(U)}\\\displaystyle P(E)=\frac{N(E)}{N(U)}

Then plugging them into the formula of conditional probability we get:

\displaystyle P(F|E)=\frac{\frac{N(E \cap F)}{N(U)}}{\frac{N(E)}{N(U)}}

Then we simplify and we get:

\displaystyle P(F|E)=\frac{N(E \cap F)}{N(E)}

We just plug the given info and we get:

\displaystyle P(F|E)=\frac{300}{730}=\frac{30}{70}

3 0
3 years ago
27/64A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch r
tankabanditka [31]

Answer:

9.86 inches

Step-by-step explanation:

Given:

The cup will be a right circular cone with:-

Radius, r = 3 inches

Volume of cone = 93 cubic inches

Height of the cup, h = ?

Solution:

<u>By using :-</u>

<u />Volume\ of\ right\ circular\ cone=\frac{1}{3} \pi r^{2} h

                                            93 =\frac{1}{3} \times\frac{22}{7} \times3\times3\times h\\ \\ 93=\frac{198}{21} h\\ \\ 93=9.43h

By dividing both sides by 9.43

\frac{93}{9.43} =\frac{9.43h}{9.43} \\ \\ 9.86\ inches=h

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.

6 0
3 years ago
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