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3 years ago

Pleas help Calculate the shaded area give your answer to 3 significant figures

Mathematics

1 answer:

IgorC [24]3 years ago

5 0

Answer:

116 cm²

Step-by-step explanation:

Shaded Area = area of the larger circle - area of the smaller circle

Area of the larger circle = πr²

Where,

r = 6.5 cm

Area = π*6.5² = 42.25π cm²

Area of smaller circle = πr²

Where,

r = 2.3 cm

Area = π*2.3² = 5.29π cm²

✔️Shaded area = 42.25π - 5.29π = 36.96π = 116.113264

Area = 116 cm² (3 S.F)

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Goran completes 6. karen completes 10. it takes 60 minutes

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3 years ago

Consider the function y = x2 − 18x. Enter the values for the variables to complete the inverse.

ollegr [7]

<span>In the function "y=x2-18x" the goal is to find the value of the letter x. We know that y equals x2-18x. First, recognize that x2 is the same thing as 2x. So changing the problem to "y=2x-18x". We can subtract 18x from 2x, which leaves us with -16x. Now the problem looks like this: y=-16x. In order to get x by itself, we will need to do the same thing to both sides of the equation. In this case, we want the answer to be x by itself, or (1x) which is the same thing. We divide both sides of the equation by (-16). We are left with the following: y/-16=x. Basically, in words, x equals y divided by negative 16.</span>

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3 years ago

Blaire needs more than 616 total points on assignments in her math class to pass. She only has 224 points and needs to do some e

jek_recluse [69]

Answer: The answer is x >7

Step-by-step explanation:

56⋅x>616−224

56⋅x>616-224

Simplify :

56⋅x>392

Dividing by the variable coefficient :

392

x>39256

Simplify :

x>7

Inequality

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4 0

3 years ago

What is y greater then or equal to 2x on a graph

Juliette [100K]

Answer:

The minimal number for the objective function P =20x+16y is: 780

The value of x then is: 15

and the value of y then is : 30

Step-by-step explanation:

We are given a system of inequalities as:

y is less than or equal to 2x

i.e. y ≤ 2x--------(1)

x + y is greater than or equal to 45

i.e. x+y ≥ 45 ------------(2)

and x is less than or equal to 30.

i.e. x ≤ 30 -----------(3)

On plotting these inequalities we get the boundary points as:

(15,30) , (30,60) and (30,15)

( Since, the optimal solution always exist at the boundary point )

The optimal function is given by:

Minimize P = 20x+16y

Hence, at (15,30) we get:

P= 780

at (30,60) we get:

P= 1560

at (30,15) we get:

P= 840

This means that the minimal value of the function is 780

and the value exist at (15,30)

5 0

4 years ago

Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and

Airida [17]

Answer:

The manager can select a team in 61425 ways.

Step-by-step explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

$T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425$

The manager can select a team in 61425 ways.

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3 years ago