Find x- the length of the hypotenuse of the triangle

The ratio of children to adults at family movie night is 5 to 4. A total of 72 people showed up at this weeks movie night. How m

N76 [4]

The answer is 40 I think

7 0

3 years ago

C. Make n subject of the formula<br>S= n/2 [2a + (n - 1)d]<br><br>please provide your working out

yKpoI14uk [10]

Answer:

$n=\frac{4as -2ds}{(1-2ds)}$

Step-by-step explanation:

$S= \frac{n}{2 [2a + (n - 1)d]}$

Simplifying the fraction by multiplying d into the (n-1) term,

$s=\frac{n}{2 [2a + (n - 1)d] } = \frac{n}{2[2a + dn - d] }$

Simplifying the fraction by multiplying 2 throughout,

$s= \frac{n}{4a + 2dn-2d}$

Multiply $(4a + 2dn-2d)$ on both sides

$(4a + 2dn-2d)s= \frac{n}{4a + 2dn-2d} (4a + 2dn-2d)$

Cancel the $(4a + 2dn-2d)$ on the right hand side

$(4a + 2dn-2d)s= n$

Multiply s to the terms,

$4as + 2dns-2ds= n$

Move $2dns$ to the right hand side by subtracting $2dns$ on both sides $4as + 2dns-2ds-2dns= n-2dns$

$4as -2ds= n-2dns$

On the right hand side of the equation, take out $n$

$4as -2ds= n(1-2ds)$

Divide Left hand side by $(1-2ds)$ ,

$n=\frac{4as -2ds}{(1-2ds)}$

6 0

3 years ago

Mitch borrowed $500 from his brother. He mows lawns after school and on the weekends. He charges $32 a lawn and pays his friend

alexgriva [62]

Let's take this one at a time starting from the brother's net income because this would be the root basis. We let x be the number of lawns his brother and Tom mowed.

Brother's Net Income = 32x - 12x = 20x

Mitch promises to pay the borrowed money of $500 plus 40% of what his brother earns. The algebraic equation for this is:

Mitch's payment = $500 + 0.4(20x) = $500 +$8x

3 0

3 years ago

Read 2 more answers

What is the graph of the function f(x) = the quantity of x plus 2, all over x minus 3

Andrej [43]

Answer:

Step-by-step explanation:

The given function is $f(x)=\frac{x+2}{x-3}$ and we need to graph it.

In order to graph this function, we'll find below things:

Horizontal asymptote:

Since the degree of both numerator and denominator is same. Hence, the horizontal asymptote is the ratio of leading coefficient of numerator to the leading coefficient of denominator.

Horizontal asymptote is y = 1/1 = 1

Vertical asymptote:

Vertical asymptote occurs where the denominator is zero.

$x-3=0\\x=3$

x-intercepts:

For x-intercept, y = 0

$\frac{x+2}{x-3}=0\\\\x+2=0\\x=-2$

y-intercepts:

For y-intercept, x= 0

$y=\frac{0+2}{0-3}=0\\\\y=-\frac{2}{3}$

Using these, we can draw the graph of the rational expression.

5 0

3 years ago

Read 2 more answers

A jogger running around a rectangular park takes a shortcut back to her car by jogging from one corner of the park to the diagon

coldgirl [10]

Answer:the short cut is 55 meters.

Step-by-step explanation:

The park around which the jogger jogged is rectangular in shape. The Short cut that the jogger jogged through to her car is the diagonal of the rectangle. The diagonal becomes the hypotenuse of the rectangle. The sides of the field becomes the opposite side and adjacent side of the triangle. To determine the length of the diagonal, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 44^2 + 33^2 = 3025

Hypotenuse = √3025

Hypotenuse = 55 meters

8 0

3 years ago