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2 years ago

A regular hexagon has a side length of 6 units.

Mathematics

2 answers:

valkas [14]2 years ago

7 0

Answer:

Step-by-step explanation:

alexandr1967 [171]2 years ago

7 0

Answer:The hexagon can be divided into six congruent and equilateral triangles. The apothem is perpendicular to a side and forms two 30-60-90 right triangles. The apothem is 3√3 units because it is opposite the 60-degree angle. If the formula for the area of a polygon is 1/2 (perimeter)(apothem) the area of the hexagon is 54 √3 square units

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Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the p

blsea [12.9K]

Answer: The probability that the fruit is an orange or a pear is $\dfrac{1}{3}$ .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange) = $\dfrac{\text{Number of oranges}}{\text{Total fruits}}$

$=\dfrac{3}{12}$

P(pear)= $\dfrac{\text{Number of pears}}{\text{Total fruits}}$

$=\dfrac{1}{12}$

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

$=\dfrac{3}{12}+\dfrac{1}{12}=\dfrac{4}{12}=\dfrac{1}{3}$

Therefore , the probability that the fruit is an orange or a pear is $\dfrac{1}{3}$ .

5 0

2 years ago

a square painting has an area of 81x^2-90x-25. A second square painting has an area of 25x^2+30x+9. What is an expression that r

galina1969 [7]

Answer:

The answer in the procedure

Step-by-step explanation:

Let

A1 ------> the area of the first square painting

A2 ----> the area of the second square painting

D -----> the difference of the areas

we have

$A1=81x^{2}-90x-25$

$A2=25x^{2}+30x+9$

case 1) The area of the second square painting is greater than the area of the first square painting

The difference of the area of the paintings is equal to subtract the area of the first square painting from the area of the second square painting

D=A2-A1

$D=(25x^{2}+30x+9)-(81x^{2}-90x-25)$

$D=(-56x^{2}+120x+34)$

case 2) The area of the first square painting is greater than the area of the second square painting

The difference of the area of the paintings is equal to subtract the area of the second square painting from the area of the first square painting

D=A1-A2

$D=(81x^{2}-90x-25)-(25x^{2}+30x+9)$

$D=(56x^{2}-120x-34)$

4 0

3 years ago

What is the y-value of the vertex of 4x^+ 8x - 8?

deff fn [24]

Answer: The y-value of the vertex is

Step-by-step explanation: we know that

The equation of a vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

In this problem we have

-----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The vertex is the point

The y-value of the vertex is

5 0

1 year ago

I need help with this problem

Artist 52 [7]

Answer:

2nd answer

Step-by-step explanation:

6 0

2 years ago

Jack broke apart 5x216 as (5x200)+(5x16) to multiply mentally. What strategy did Jack use?

Sveta_85 [38]

For this case we have the following multiplication:

$5 * 216$

We can rewrite this multiplication in the following way:

$5 * (200 + 16)$

From here, we apply the distributive property.

We have then:

$(5 * 200) + (5 * 16)$

Therefore, Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.

Answer:

Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.

8 0

2 years ago

Read 2 more answers