The length of a rectangle is 3 times the width. The perimeter is 96 cm. Find the width and length

Martha divides $94 amongst her friends. Leon gets twice as much money as K. Jill gets five more dollars than Leon. Isaac gets $1

vlada-n [284]

Let me see if I can solve this on my own.

So $94 is the first amount.

It got divided so, 94÷2 = $47

So, It's either $47 or this.

47 + 47 (or times 2) = 94 again. But gets five more dollars than Leon. So 94+5= 99 then -10 = 89 but 89 ÷ 2 = 44.5 but since money can't really be half. It's eithier $44 or $45 but in my opinion is $45.

So, these are the most reasonable answers. $47 or $45. You can pick the answer that you thinks makes more sense. This took a long time so I hope this helps!

4 0

3 years ago

Read 2 more answers

Theequationforlinegcanbewrittenas y = –9 4 x − 1 . Line h , whichisperpendiculartoline g , includesthepoint (10, 4) . What isthe

KATRIN_1 [288]

Answer:

y-4 = 4/9(x-10)

Step-by-step explanation:

Given the equation of the line g to be y = -9/4 x - 1.

To find the equation of a line h perpendicular to this line, the following steps must be taken;

First find the slope of the known line g

The standard equation of a line is y = mx+c where

m is the slope

c is the intercept

Comparing this equation with the given equation y = -9/4 x -1, it can be seen that the slope of the line g is -9/4

Next is to find the slope of the line h

Since the line g is perpendicular to h, then the product of their slope will be -1 i.e mh*mg = -1

mh = -1.mg

mh = -1/(-9/4)

mh = -1*-4/9

mh = 4/9

Hence the slope of the line h is 4/9

Find the intercept of line h

To get this, you will substitute the slope m and the point into the equation y = mx+c

m = 4/9

(x,y) = (10,4)

4 = 4/9(10) + c

4 = 40/9 + c

c = 4-40/9

c = (36-40)/9

c = -4/9

Hence the intercept of the line h is -4/9

Finally, find the equation of the line h in slope-intercept form

The slope-intercept form of a line is expressed as y = mx+c

y-y0 = m(x-x0)

Given

m = -4/9

x0 = 10

y0 = 4

Substitute:

y-4 = 4/9(x-10)

Hence the equation in slope-intercept form is y-4 = 4/9(x-10)

7 0

3 years ago

One quarter of a certain number added to one eighth of the same number is 12. What is the number

alexdok [17]

Answer:

32

Step-by-step explanation:

let the number be n , then

$\frac{1}{4}$ n + $\frac{1}{8}$ n = 12 ( multiply through by 8 to clear the fractions )

2n + n = 96

3n = 96 ( divide both sides by 3 )

n = 32

The number is 32

6 0

3 years ago

Find the first Taylor polynomial T1(x) for f(x)=exp(x) based at b=0:

avanturin [10]

Answer:

f(x) = 1 + x + (x²/2!) + (x³/3!) + ....... = Σ (xⁿ/n!) (Summation from n = 0 to n = ∞)

Step-by-step explanation:

f(x) = eˣ

Expand using first Taylor Polynomial based around b = 0

The Taylor's expansion based around any point b, is given by the infinite series

f(x) = f(b) + xf'(b) + (x²/2!)f"(b) + (x³/3!)f'''(b) + ....= Σ (xⁿfⁿ(b)/n!) (Summation from n = 0 to n = ∞)

Note: f'(x) = (df/dx)

So, expanding f(x) = eˣ based at b=0

f'(x) = eˣ

f"(x) = eˣ

fⁿ(x) = eˣ

And e⁰ = 1

f(x) = 1 + x + (x²/2!) + (x³/3!) + ....... = Σ (xⁿ/n!) (Summation from n = 0 to n = ∞)

6 0

3 years ago

A helicopter is hovering 450 feet above the ground. The angle of elevation

SIZIF [17.4K]

Answer:

The distance of helicopter from the injured person is 542.82 feet

Step-by-step explanation:

Given as :

The height of the hovering helicopter above the ground = h = 450 feet

The angle of elevation from injured person to helicopter = Ф = 56°

Or, Let the distance of of helicopter from person = x feet

Now, From Triangle

∵ Sin Ф = $\dfrac{\textrm Perendicular}{\textrm Hypotenuse}$

∴ Sin 56° = $\dfrac{\textrm h}{\textrm x}$

Or, 0.8290 = $\dfrac{\textrm 450}{\textrm x}$

Or , x = $\dfrac{\textrm 450}{\textrm 0.8290}$

I.e x = 542.82 feet

So, The distance from injured person to helicopter = 542.82 feet

Hence The distance of helicopter from the injured person is 542.82 feet Answer

3 0

3 years ago