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3 years ago

Which angle is included angle forJL and KL

Mathematics

1 answer:

AlekseyPX3 years ago

5 0

I wouldn't know cause there isn't enough information or a graph

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The sum of two positive numbers is 12. what two numbers will maximize the product g

son4ous [18]

Given two numbers x and y such that:

x + y = 12 ... (1)

two numbers will maximize the product g

from equation (1)

y = 12 - x

Using this value of y, we represent xy as

xy = f(x)= x(12 - x)

f(x) = 12x - x^2

Differentiating the above function:

f'(x) = 12 - 2x

Maximum value of f(x) occurs at point for which f'(x) = 0.

Equating f'(x) to 0 we get:

12 - 2x = 0

2x = 12

> x = 12/2 = 6

Substituting this value of x in equation (2):

y = 12 - 6 = 6

Therefore, value of xy is maximum when:

x = 6 and y = 6

The maximum value of xy = 6*6 = 36

4 0

3 years ago

5208 divided by 4 in long division

Veronika [31]

Answer:

1 3 0 2

4 5 2 0 8

− 4

1 2

− 1 2

0 0

− 0

0 8

− 8

Step-by-step explanation:

4 0

3 years ago

3x-(2x-1)=7x-(3*5x)+(-x+24)

Paraphin [41]

Answer:

$\boxed{\boxed{\sf x=\frac{23}{10}}\: \sf or \:\boxed{x=2.3}}$

_________________

$\boxed{\sf Step\: By\:Step:- }$

$\sf 3x-\left(2x-1\right)=7x-\left(3\times \:5x\right)+\left(-x+24\right)$

Remove the parentheses:

$\to\sf 3x-\left(2x-1\right)=7x-3\times \:5x-x+24$

Combine like terms:

$\sf ^*7x-x=6x$

$\to\sf 3x-\left(2x-1\right)=6x-3\times \:5x+24$

Multiply 3 and 5x = 15x:-

$\to\sf 3x-\left(2x-1\right)=6x-15x+24$

Combine like terms:

$\sf ^*6x-15x=-9x$

$\to\sf 3x-\left(2x-1\right)=-9x+24$

Expand: 3x-(2x-1)= x+1

$\to\sf x+1=-9x+24$

Subtract 1 from both sides:

$\to\sf x+1-1=-9x+24-1$

$\to\sf x=-9x+23$

Add 9x to both sides:

$\to\sf x+9x=-9x+23+9x$

$\to\sf 10x=23$

Divide both sides by 10:

$\to\sf \cfrac{10x}{10}=\cfrac{23}{10}$

$\to\sf x=\cfrac{23}{10}$

________________________________

3 0

3 years ago

Which line shows theINITIAL error in volume work?

aliina [53]

In step 2, V = $\frac{4}{3}(3.14)(37.5)$ show the error in volume work.

Solution:

Given data:

The steps shows it is sphere.

Radius of the sphere = 12.5

The value of π = 3.14

Volume of the sphere = $\frac{4}{3} \pi r^3$

Step 1:

$$V=\frac{4}{3} (3.14)(12.5)^3$

$$V=\frac{4}{3} (3.14)(12.5)(12.5)(12.5)$

Step 2:

$$V=\frac{4}{3} (3.14)(1953.125)$

Step 3:

$$V=\frac{4}{3} (6132.81)$

Step 4:

V = 8177.08 cubic units

This is the correct solution.

But in the given options, in step 2, 12.5 is multiplied by 3.

That is not the correct step. You have to do 12.5 × 12.5 × 12.5.

Hence in step 2, V = $\frac{4}{3}(3.14)(37.5)$ show the error in volume work.

7 0

3 years ago

7x + y = 7 y = [ ? ]x+ []

otez555 [7]

Y=-7x+7

hope this helped!

6 0

3 years ago