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3 years ago

8. The logo for a company is a regular hexagon inscribed inside a circle. The logo will

Mathematics

1 answer:

fgiga [73]3 years ago

5 0

Divide the hexagon into 6 equal streak triangles which would have side length equal to the radius of the circle.

the area of an equal lateral triangle = sqrt(3)/4 x radius^2

the area of the hexagon would be 6 x sqrt(3)/4 x radius^2

Area = 6 x sqrt(3)/4 x 8^2 = 166.2768 square feet

rounded to the nearest whole foot = 166 square feet.

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In a certain year, about 11/5000 of a country’s population were female nursing home residents and about 7/5000 of a country’s po

Goshia [24]

Answer:

18/5000 or 9/2500

Step-by-step explanation:

Since we know both male and female nursing home residents, we can just add the two together to find the total.

8 0

3 years ago

A patient has a twenty-centimeter incision along the abdomen that must have a topical antibiotic ointment applied for every dres

rodikova [14]

Answer:

The amount of medication to be applied is approximately 7.87 inches

Step-by-step explanation:

The given parameters are;

The length of the incision the patient has = 20 cm

The length of the application of the antibiotic = The length of the incision the patient has

∴ The length of the application of the antibiotic = 20 cm

The amount of medication to be applied = 20 cm = 7.874016 inches ≈ 7.87 inches

4 0

3 years ago

An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row

natima [27]

Answer:

The number of trees in each row is 21.

Step-by-step explanation:

Let us assume the number of trees in each row = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651 = m (m + 10)

$651 = m^2 + 10m\\\implies m^2 + 10m - 651 =0\\or, m^2 + 31m 21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0$

⇒ (m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m = 21

Hence, the number of trees in each row is m = 21.

8 0

4 years ago

Whats 2+2

Colt1911 [192]

2+2=4 because if you have 2 and you add another 2 you will have 4

4 0

3 years ago

Which method would you use to prove that the two triangles are congruent?

Alona [7]

Answer:- AAS postulate

Explanation:-

AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.

We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]

⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

⇒ The triangles are congruent [ by ASA postulate]

6 0

4 years ago