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3 years ago

Determine whether the forces in the pair are pulling at right angles to each other.

1 answer:

4 0

Given:
right triangle
a = 2.9
c = 4.2

Pythagorean Theorem: a² + b² = c²

missing value of b.

b² = c² - a²
b² = (4.2)² - (2.9)²
b² = 17.64 - 8.41
b² = 9.23
b = √9.23
b = 3.03 or 3.0

The value of b is 3.0

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What’s value of x ?! Help PLEASE !!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!

WARRIOR [948]

Answer:

x=51

Explanation:

the total interior degrees of a triangle are 180°

8 0

3 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

F(x)=3x-3 g(x) 3x^3+5 Find F(-3) and g(-2)

astra-53 [7]

Answer:

f(-3) = -12

g(-2) = -19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 3

g(x) = 3x³ + 5

f(-3) is x = -3 for function f(x)

g(-2) is x = -2 for function g(x)

Step 2: Evaluate

f(-3)

Substitute in x [Function f(x)]: f(-3) = 3(-3) - 3
Multiply: f(-3) = -9 - 3
Subtract: f(-3) = -12

g(-2)

Substitute in x [Function g(x)]: g(-2) = 3(-2)³ + 5
Exponents: g(-2) = 3(-8) + 5
Multiply: g(-2) = -24 + 5
Add: g(-2) = -19

4 0

3 years ago

Read 2 more answers

Write an algebraic expression that represents 2 less than 18 times a number?

german

Answer:

Step-by-step explanation:

18x-2

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3 years ago

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Solve for x. Round to the nearest tenth, if necessary. 1.8 & x

Valentin [98]

Answer:

x ≈ 1.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = $\frac{opposite}{hypotenuse}$ = $\frac{RS}{RT}$ = $\frac{x}{1.8}$ ( multiply both sides by 1.8 )

1.8 × sin50° = x , then

x ≈ 1.4 ( to the nearest tenth )

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3 years ago