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3 years ago

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

1 answer:

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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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:

Recursive sequence

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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$a_8=38$

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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:

The formula is y=2x+14 with x being the number of toppings and y the total price.

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

25=2x+14

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x=5.5

You can't get half of a topping so you would have to round down to 5 toppings.

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3 years ago

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:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

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

Step 2: Simplify

[Distributive Property] Distribute negative: 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
Combine like terms (x²): 4x² + 2y² - 3x + y² - 2x - 3y² - x
Combine like terms (y²): 4x² - 3x - 2x - x
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.

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

If the 12 is the longest side, then:
(12)² = (9)² + B²
B² = (12)² - (9)² = 144 - 81 = 63
B = √63 = 7.937yd (rounded)

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4 years ago