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PilotLPTM [1.2K]
3 years ago
5

Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth ​

Mathematics
2 answers:
Alika [10]3 years ago
5 0

Answer:

i thought i had the answer but then i got it wrong im sorry

Step-by-step explanation:

vesna_86 [32]3 years ago
4 0

Answer:

Step-by-step explanation:

Remark

The side opposite (the side not connected to the angle) and the hypotenuse relate the sine

Equation

Sin(y) = opposite / hypotenuse

Solution

y = 41 degrees

hypotenuse = 12

x = ?

Sin(41) = x / 12                     Multiply both sides by 12

12 Sin(41) = x

Sin(41) = 0.6561

12 * 0.6561 = x

x = 7.8727

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Find all the numbers such that the number added to itself is less than the number subtracted from 6
gizmo_the_mogwai [7]

Answer:

All numbers less than 2 or (-\infty, 1] or (-\infty, 2)

Step-by-step explanation:

Given that:

Number is added to itself is less than the number subtracted from 6.

To find:

All such numbers.

Solution:

Let the number be x.

Here, an inequality will be made.

When solved, it might give more than one answers.

As per the question statement, let us write the inequality.

Number added to itself \Rightarrow x +x =2x

Number subtracted from six = 6-x

As per question:

2x

So, the answer is:

All numbers less than 2 or (-\infty, 1] or (-\infty, 2).

4 0
3 years ago
A shopper buys 3 notebook for $5 each the percent of sales tax is 8% how much is the total sale
Vlad1618 [11]
All you have to do is 3×5=15
then 8÷8=1 so 16 dollars
6 0
3 years ago
. Use Lagrange multipliers to find the maximum and minimum values of the function, f, subject to the given constraint, g. (Place
zzz [600]

Answer:

Minimum value of f(x, y, z) = (1/3)

Step-by-step explanation:

f(x, y, z) = x⁴ + y⁴ + z⁴

We're to maximize and minimize this function subject to the constraint that

g(x, y, z) = x² + y² + z² = 1

The constraint can be rewritten as

x² + y² + z² - 1 = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = x⁴ + y⁴ + z⁴ - λ(x² + y² + z² - 1)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points, each of the partial derivatives is equal to 0.

(∂L/∂x) = 4x³ - λx = 0

λ = 4x² (eqn 1)

(∂L/∂y) = 4y³ - λy = 0

λ = 4y² (eqn 2)

(∂L/∂z) = 4z³ - λz = 0

λ = 4z² (eqn 3)

(∂L/∂λ) = x² + y² + z² - 1 = 0 (eqn 4)

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

4x² = 4y²

4x² - 4y² = 0

(2x - 2y)(2x + 2y) = 0

x = y or x = -y

Also,

4x² = 4z²

4x² - 4z² = 0

(2x - 2z) (2x + 2z) = 0

x = z or x = -z

when x = y, x = z

when x = -y, x = -z

Hence, at the point where the box has maximum and minimal area,

x = y = z

And

x = -y = -z

Putting these into the constraint equation or the solution of the fourth partial derivative,

x² + y² + z² = 1

x = y = z

x² + x² + x² = 1

3x² = 1

x = √(1/3)

x = y = z = √(1/3)

when x = -y = -z

x² + y² + z² = 1

x² + x² + x² = 1

3x² = 1

x = √(1/3)

y = z = -√(1/3)

Inserting these into the function f(x,y,z)

f(x, y, z) = x⁴ + y⁴ + z⁴

We know that the two types of answers for x, y and z both resulting the same quantity

√(1/3)

f(x, y, z) = x⁴ + y⁴ + z⁴

f(x, y, z) = (√(1/3)⁴ + (√(1/3)⁴ + (√(1/3)⁴

f(x, y, z) = 3 × (1/9) = (1/3).

We know this point is a minimum point because when the values of x, y and z at turning points are inserted into the second derivatives, all the answers are positive! Indicating that this points obtained are

S = (1/3)

Hope this Helps!!!

6 0
3 years ago
Help me i don't understand again...
8090 [49]
I believe it is B. 10
3 0
3 years ago
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Give the dimensions of the small prisms that can be used to pack the larger prism
Neporo4naja [7]
Okay we'll go through all the steps. Ready?

4 0
3 years ago
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