Patty volunteers for 2 hour on saturday and 3 hours on sunday how many hours does she do in a week

One leg in a right triangle is 11 m, and the hypotenuse measures 11√2 m. Find the length of the other leg.

ipn [44]

Answer:

$\boxed{11m}$

Step-by-step explanation:

Method #1: 45-45-90 Triangle

You can use the rules for a 45-45-90 triangle. These are:

→ Each 45-45-90 triangle is a right triangle with two additional 45° angles.

→ The triangle will have 2 legs, x, and one hypotenuse, x√2.

Therefore, because the problem gives values for one leg and the hypotenuse, the value for the one leg is equal to the value for the unsolved leg.

Method #2: Pythagorean Theorem

You can use the Pythagorean Theorem to solve for a missing side in a triangle. Please note, however, that the Pythagorean Theorem only works on right triangles.

The Pythagorean Theorem is defined as $a^{2} + b^{2} = c^{2},$ where a and b are both legs of the triangle and c is the hypotenuse.

Therefore, substitute the known value for a, 11, and the known value for c, 11√2. Then, evaluate each value to its power (except for b - it is unsolved) and simplify the equation with basic algebraic methods. Once your equation is down to $b^{2}= ?$ , you should take the square root of both sides of the equation to get the value for b.

$11^{2} +b^{2} =(11\sqrt{2} )^{2}\\121 + b^{2} = 242\\b^{2}=121\\b=11$

4 0

4 years ago

A truck rental is $30 plus $.30 /mi. Find out how many miles Ken traveled if his bill was $55.20 .

tangare [24]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's consider the information given:

rental price: $30 + $0.30/mile
total bill for Ken: $55.20

Let's setup an equation for the cost

set 'x' as number of miles traveled

$\hookrightarrow Cost = 30 + 0.3x$

set that equal to the total cost or bill and solve

$30 + 0.3x = 55.2\\0.3x = 25.2\\x=84$

Ken must have traveled 84 miles

Answer: 84 miles

Hope that helps!

#LearnwithBrainly

5 0

1 year ago

Read 2 more answers

The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and

Agata [3.3K]

First. Finding the x-intercepts of $W(x)$

Let $W(x)$ be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

$f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{2}x^{2}+a_{1}x+a_{0}$

We use the Trial-and-Error Method which states that a factor of the constant term:

$a_{0}$

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

$W(x)=x^{4}-x^{3}-7x^{2}+x+6$

where the constant term is $a_{0}=6$ . The possible zeros are the factors of this term, that is:

$1, -1, 2, -2, 3, -3, 6 \ and \ -6$ .

Thus:

 $W(1)=0 \\ W(-1)=0 \\ W(2)=-12 \\ W(-2)=0 \\ W(3)=0 \\ W(-3)=48 \\ W(6)=840 \\ W(-6)=1260$ 

From the foregoing, we can affirm that $1, -1, -2 \ and \ 3$ are zeros of the polynomial.

Second. Construction a rough graph of $W(x)$

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

$[-2,-1]$

and compute $W(c)$ where $c$ is a real number between -2 and -1. If $W(c)>0$ , the curve start rising, if not, the curve start falling. For instance:

$If \ c=-\frac{3}{2} \\ \\ then \ w(-\frac{3}{2})=-2.81$

Therefore the curve start falling and it goes up and down until $x=3$ and from this point it rises without a bound as shown in the figure below

7 0

3 years ago

Read 2 more answers

Chloe wants to buy monitor for her bedroom the height of the monitor is 18 inches in the width is 16 inches calculate the diagon

Akimi4 [234]

Equation: a^2 + b^2 = c^2

18^2 + 16^2 = c^2

324 + 256 = c^2

C^2 = square root 580

Square root 580 reduces to 2 square root 145.

As a decimal that is: 24.08

Rounded to the nearest tenth: 24 inches.

I hope this helps! If it does please offer me the brainiest!

3 0

3 years ago

Select all the expressions that are equivalent to 4 - x.

Wewaii [24]

Answer

4+(-x),-x+4

Step-by-step explanation:

6 0

3 years ago