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LiRa [457]
3 years ago
11

find the area of an equilateral triangle whose side measures 7 units. find the area to the nearest tenth of square unit

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}~~
\begin{cases}
s=side's~length\\[-0.5em]
\hrulefill\\
s=7
\end{cases}\implies A=\cfrac{7^2\sqrt{3}}{4}\implies A=\cfrac{49\sqrt{3}}{4}
\\\\\\
A\approx 21.21762239271874684571\implies A = \stackrel{rounded~up}{21.2}

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6 0
3 years ago
Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl
Akimi4 [234]

Answer:

a_8=38

Step-by-step explanation:

<u>Recursive sequence </u>

In a recursive sequence formula, each term a_n is computed as a function of one or more previous terms. In the formula

a_n=a_{n-1}+5

n is the number of the term we want to calculate. If n=8, then the formula becomes

a_8=a_{7}+5

We can see a_{n-1} is the previous term. It means we need a_7 to be able to compute a_8. But we also need a_6 to compute a_7 and so on until some known data is reached. The question provides five terms, a_5=23.

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a_8=a_7+5=38

a_8=38

4 0
3 years ago
Nikki’s Pizza Joint charges $14 for a super-duper cheese pizza and $2 for each extra topping. How many toppings can you order fo
stiv31 [10]

Answer:

5 toppings

Step-by-step explanation:

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Plug in 25 as y to see how much x would be at that price.

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6 0
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Read 2 more answers
Enter an expression equivalent to (3x^2+2y^2-3x) + (2x^2+y^2-2x) - (x^2 + 3y^2 +x)
11111nata11111 [884]

Answer:

4x² - 6x

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                    3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
  2. Combine like terms (x²):                                                                                   4x² + 2y² - 3x + y² - 2x - 3y² - x
  3. Combine like terms (y²):                                                                                   4x² - 3x - 2x - x
  4. Combine like terms (x):                                                                                    4x² - 6x
4 0
3 years ago
Find the unknown side of the right triangle. Round to the nearest thousandths. One side is 9yd, the other side is 12 yd.
lakkis [162]
You haven't told us whether 9 and 12 are the two legs of the triangle, or whether the 12yd is the longest side.

<u>If the 9 and the 12 are the two legs, then</u>:
C² = A² + B²
C² = 81 + 144
C² = 225
C = <u>15 yd</u>

<u>If the 12 is the longest side, then</u>:
(12)² = (9)² + B²
B² = (12)² - (9)² = 144 - 81 = 63
B = √63 = <u>7.937</u>yd  (rounded)
7 0
4 years ago
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