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3 years ago

Find the area of the regular hexagon if the apothem is 8 squared root 3 m and a side is 16 m. Round to the nearest whole number.

Mathematics

1 answer:

Mars2501 [29]3 years ago

6 0

Perimeter = 16 * 6
Area = (1/2)(perimeter)(apothem)
Area = (1/2) (16 * 6)(8\/3)
Area = 665.1

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Find the product of 2x4(3x2 4x 1). 6x6 8x5 2x4 6x8 8x4 1 5x6 6x5 3x4 5x8 6x4 1.

Vlada [557]

Product of polynomials can be done by using distributive property of multiplication over addition. The needed product is: Option

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a\times b + a\times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $5x^3$ and $x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $x^3$ and $4x^4$ are not like terms as the variables are same but powers aren't same.

For the given case, the expression is $2x^4(3x^2 +4x +1)$

Using the distributive property of multiplication over addition, we get the product result as:

$2x^4(3x^2 +4x +1) = 6x^{4+2} + 8x^{4+1} + 2x^4 = 6x^6 + 8x^5 + 2x^4$

(when like terms are multiplied, powers are added of the variables (same variable) due to property $a^b \times a^c = a^{b+c}$ )

Learn more about product of polynomials here:

brainly.com/question/9106484

5 0

2 years ago

Which are solutions to 3sin^2 θ - 2sin θ = 0, 90°≤θ≤90°

jeka57 [31]

Answer:

The solutions of the equation are -41.8° , 0.0° , 41.8°

Step-by-step explanation:

∵ 3 sin²Ф - 2 sinФ = 0 is a quadratic function

∵ The domain of the function is -90° ≤ Ф ≤ 90°

- Lets take sinФ as a common factor

∴ sinФ (3 sinФ - 2) = 0

- Two terms multiplied by each other = 0

∴ One of them must be equal zero

∴ sinФ = 0 or 3 sinФ - 2 = 0

- If sinФ = 0 ⇒ Ф = 0.0°

- If 3 sinФ - 2 = 0 ⇒ 3 sinФ = 2 ⇒ sin Ф = 2/3

∵ sinФ 2/3

∴ Ф = 41.8° ⇒ Ф ≤ 90° (in first quadrant)

∵ -90° ≤ Ф ≤ 90°

∴ Ф = -41.8° ⇒ Ф ≥ -90° (in fourth quadrant)

∴ The solutions of the equation are -41.8° , 0.0° , 41.8°

4 0

4 years ago

Between which two integers does 35 lie?

iren2701 [21]

The answer is the first choice, "5 and 6."

The square root of 35 is equal to 5.92, which is in between the numbers 5 and 6.

7 0

3 years ago

Ajla went out for lunch and the meal cost $30. She wants to tip 18% on the cost of the meal ($30). The tax is 7.5%. What is the

Arisa [49]

Answer:

ФHello wonderful personФ

Your answer should be:

$37.65

Step-by-step explanation:

30 times 18%(.18)+30 times 7.5% = 7.65 + 30 = 37.65

Please mark brainliest!

<h2>First answer</h2><h3>Hope this helps</h3>

7 0

3 years ago

Read 2 more answers

The radius of a fully inflated soccer ball is 4.5 inches. After using the ball for a game, the match referee, Jason, measured th

forsale [732]

The volume of a sphere is:

V=(4pr^3)/3 so the initial volumes is:

Vi=(4p*4.5^3)/3=121.5p in^3 (before match, approx 381.7 in^3)

Vf=(4p*4.4^3)/3=340.736p/3 (after match, approx 356.8 in^3

Vf-Vi=24.9 in^3

So the ball lost about 24.9 in^3 of air during the match...

7 0

3 years ago