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3 years ago

HELP ASAP

Mathematics

1 answer:

Sophie [7]3 years ago

7 0

Answer:

15 feet (pythagorean theorem)

Step-by-step explanation:

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PLS ANSWER IF GOTTEN RIGHT WILL MARK BRAINLIEST

Mandarinka [93]

B? I’m sorry if I got it wrong

8 0

3 years ago

Convert 5.1 to a percentage

krok68 [10]

$5.1=510\%$

5 0

3 years ago

Read 2 more answers

Let Y1 denote the weight of a bulk item stocked by a supplier, with a uniform distribution over the interval (0, 1). The random

svlad2 [7]

Answer:

5/12 ton

Step-by-step explanation:

Y1 ( uniform random variable ) : ( 0, 1 )

Y2 ( uniform distribution ) ; ( 0, y1 )

supplier stocked ; 5/6 ton

Determine the amount of tons expected to be sold

F ( y2 | y1 ) = 1 / y1

E ( y2 | y1 = 5/6 )

The number of tons expected to be sold = 5/12 ton

attached below is the detailed solution

6 0

3 years ago

A closed box is constructed of 4200cm2 of cardboard. The box is a cuboid, with height hcm and square base of side xcm . What is

inysia [295]

Answer:

x is 10 $\sqrt{7}$

Step-by-step explanation:

Let x is the side of the base
Let h is the height

Given that:

The area A = 4200 cm2

<=> 2 $x^{2}$ + 4xh = 4200 cm2

<=> 4xh = 4200 - 2 $x^{2}$

<=> h = (4200 - 2 $x^{2}$ )/4x

The volume of the box:

V = $x^{2}$ h

<=> V = $x^{2}$ (4200 - 2 $x^{2}$ )/4x

<=> V = (4200x - 2 $x^{3}$ )/4

To find the maximum volume, we differentiate volume with respect to x:

dV/dx = (4200 - 6 $x^{2}$ )/4

Set dV/dx = 0, we have:

4200 - 6 $x^{2}$ =0

<=> $x^{2}$ = 700

<=> x = 10 $\sqrt{7}$

We differentiate again

d²V/dx² = -12x/4

It is negative so the volume is maximum.

So x is 10 $\sqrt{7}$

5 0

3 years ago

four 3 megawatt wind turbines can supply enough electricity to power 3000 homes. How many turbines would be required to power 55

fiasKO [112]

Answer:

The number of turbines is 74

Step-by-step explanation:

* Lets explain how to solve the problem

- Four 3 megawatt wind turbines can supply enough electricity

to power 3000 homes

∴ The number of turbines is 4

∵ Each turbine give 3 megawatt

∴ The four turbines give ⇒ 4 × 3 = 12 megawatt

- This quantity give enough electricity to power 3000 homes

∴ The number of homes for the 12 megawatt is 3000

- We need to find how many turbines can cover enough electricity

to power 55,000 homes, so we must to know the quantity of

electricity that be enough to power 55,000 homes

* Lets use the cross multiplication to solve the problem

∵ megawatt : number of homes

12 : 3,000

? : 55,000

- By using cross multiplication

∴ $?=\frac{(55,000)(12)}{3,000}=\frac{660,000}{3000}=220$

∴ The enough electricity to power 3000 homes = 220 megawatt

∵ Each turbine gives 3 megawatt

- Find the number of turbines divides the total megawatt by the the

megawatt of one turbine

∴ The number of turbines = 220 ÷ 3 = 73.3

- If we take 73 only the electricity will not be enough to cover all

homes, so we must to take 74 turbines

∴ The number of turbines is 74

5 0

4 years ago