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timama [110]
2 years ago
13

If a party hat has a radius of 3 inches, what is the area of the circular base?

Mathematics
2 answers:
Slav-nsk [51]2 years ago
7 0

Answer:

A=9\pi\ in^2

Step-by-step explanation:

<u>Area of a Circle</u>

A circle is a geometric shape where all the points on its circumference are at the same distance to a fixed point called center. The radius is the distance from the center to any point of the circumference.

The relation of the length of the circumference to the radius is an irrational number called pi (\pi\approx 3.141592).

Another interesting relation in a circle is the area it occupies in a 2D space. Being r the radius of the circle, the area is computed by the formula

A=\pi r^2

The party hat has a radius of r= 3 inches. The area of the circular base is computed as follows

A=\pi\cdot 3^2

\boxed{A=9\pi\ in^2}

Aleksandr-060686 [28]2 years ago
4 0

Answer:

9

Step-by-step explanation

hope that helps:))

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At a certain non-profit organization, 51% of employees are college graduates and 47% of employees have more than ten years of ex
Lady bird [3.3K]

Answer: 0.21

Step-by-step explanation:

Let A denotes the event that employees are college graduates.

B denotes that the event that employees have more than ten years of experience.

As per given , we have

P(A)=0.51

P(B)=0.47

P(A∪B)=0.77

We know that , P(A\cup B)=P(A)+P(B)-P(A\cap B)

0.77=0.51+0.47-P(A\cap B)

P(A\cap B)=0.51+0.47-0.77=0.21

Hence, the probability that a randomly selected employee will have more than ten years of experience and be a college graduate = 0.21

8 0
2 years ago
Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.
fredd [130]

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0.  The only negative root is -2.  

Thus, the two consecutive negative integers are -2 and -1.

Check:  Is the  square of the first five more than the second?

Is (-2)^2 = -1 + 5?  YES

The integers aer -2 and -1.

4 0
2 years ago
The graph below shows the height of a projectile t seconds after it is launched. If acceleration due to gravity is –16 ft/s2, wh
nika2105 [10]

Answer:

  see attached

Step-by-step explanation:

The x-coordinate of the vertex is given by ...

  x = -b/(2a)

for f(x) = ax^2 +bx +c.

We see that the vertex is at x = 1, and we are given a = -16. Then we can find "b" from ...

  1 = -b/(2(-16))

  32 = b

We know the y-intercept of the equation is 5 (the starting height), so the equation must be ...

  h(t) = -16t^2 +32t +5 . . . . . matches the last choice

5 0
3 years ago
I need more help thank
Soloha48 [4]

Answer:

B. 24

Step-by-step explanation:

Since both triangles are similar, therefore,

GM/XD = AG/KX

(x - 2)/6 = (x + 9)/9

Cross multiply

9(x - 2) = 6(x + 9)

9x - 18 = 6x + 54

Collect like terms

9x - 6x = 18 + 54

3x = 72

Divide both sides by 3

x = 72/3

x = 24

4 0
2 years ago
Find the slope when given the following points (1 6) and (3 -4)
aalyn [17]

Answer:

Slope= (-4-6)/(3-1)

=-10/2

=-5

7 0
3 years ago
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