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3 years ago

Paige wants to sew lace around a round table cloth. The table cloth has a diameter of 6ft. About how much lace will Paige need?

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

5 0

It is B because u need enough for it to do it right

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What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers

seraphim [82]

Answer:

Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i

or 2, -1 + 1.58 i and -1 - 1.58i

(where the last 2 are equal to nearest hundredth).

Step-by-step explanation:

The real solution is x = 2:-

x^3 - 8 = 0

x^3 = 8

x = cube root of 8 = 2

Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-

a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here a = x and b = 2 so we have

(x - 2)(x^2 + 2x + 4) = 0

To find the complex roots we solve x^2 + 2x + 4 = 0:-

Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2

= -1 +/- (sqrt( -10)) / 2

= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i

4 0

3 years ago

Read 2 more answers

A flagpole is 12.5 m tall. It casts a 17.5 m shadow. How tall is a nearby radio tower that casts a 61.25 m shadow? _____

tresset_1 [31]

Answer:

Step-by-step explanation:

7 0

3 years ago

[50 points!]

marshall27 [118]

Answer:

1/3

Explanation:

P(Freshman | Boy)

Freshman = 4

Boy = 12

⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes

P(Freshman | Boy) = freshman/total boys

P(Freshman | Boy) = 4/12

P(Freshman | Boy) = 1/3

4 0

2 years ago

Read 2 more answers

Gabriel used 1/3 of a litter of milk to make 1/9 of jug of tea

MrRissso [65]

So he used 0.33 L of milk to make 0.11 L of tea

5 0

3 years ago

A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor a

trapecia [35]

Answer:

(24, 224 ) i.e. 24 basketball and 224 footballs

Step-by-step explanation:

Basketball :

uses 4 ounces of foam

20 minutes of labor

profit = $2.50

Football :

uses 3 ounces of foam

30 minutes of labor

profit = $2

Manufacturer has :

768 ounces of foam , 120 labor hours per week,

using the simplex method to determine the optimal production schedule so as to maximize profits

lets assume

x = number of basketball

y = number of footballs

maximize = 2.5 x + 2y from a linear programming problem

attached below is the detailed solution

6 0

3 years ago