Please help!!! I need help solving just this one question and then I’ll be finished with this homework!!!

Answer:

[tex]21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}[/tex]

Step-by-step explanation:

(Assuming the den is a rectangle)

Let [tex]x[/tex] be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as [tex]x-10[/tex].

The area of a rectangle is given as [tex]l\cdot w[/tex], therefore we can form the following equation:

[tex]x(x-10)=231[/tex]

Expanding this, we have:

[tex]x^2-10x=231, \\\\x^2-10x-231=0[/tex]

This factors into [tex](x-21)(x+11)=0[/tex], therefore [tex]x=21, \: -11[/tex].

Because -11 is extraneous, the length of the den is [tex]21[/tex] feet and the width is [tex]21-10=11[/tex]. Thus, the dimensions of the den are [tex]\fbox{$21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}$}[/tex].

Answer:

124.80 ft

Step-by-step explanation:

Height of Daniel = 6 ft

The angle of elevation from his eyes to the top of the statue is = 68°

Daniel is 48 ft away from the base of the statue

To find the height of the statue apply the tangent of an angle formula then add height of Daniel as;

Tan 68° = h/48

h= {48 tan 68°} + 6 ft

h= 124.804168964

h= 124.80 ft

Answer:

all answers on the graph will be 4 times that amount

Step-by-step explanation:

rise over run

basically if y is 1 and its of a slope of 1/4 then youd multiply it by 4. 2/8 3/12

as well as it will always be a positive slope :)

Answer:

Clare is faster

Step-by-step explanation:

They are both traveling the same distance but Clare travelled it in less time which means she is going faster.

Answer: Clare

Step-by-step explanation: If it the same mile, just look whoever’s time is the least is the fastest.

Answer:

[tex]b)\ Obtuse[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\There\ are\ three\ rays.\\Lets\ mark\ them\ Ray\ OP, OQ,\ and\ OR\ with\ their\ common\ Vertex\ O.\\\\Now,\\We\ know\ that\ the\ sum\ of\ all\ angles\ around\ a\ point[or\ here\ Vertex\ O]\\ should\ be\ equal\ to\ 360.\\Here,\\\\Lets\ consider\ each\ case\ sepearately.\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ acute\ then:\\\angle POR, \angle ROQ, \angle POQ<90\\If\ we\ add\ them\ together,[/tex]

[tex]\angle POR+ \angle ROQ+ \angle POQ<90+90+90<270[/tex]

[tex]But\ here\ the\ sum\ of\ the\ angles\ are\ less\ than\ 270,\ but\ the\ sum\ should\\ instead\ be\ 360.\\Hence,\ the\ angles\ formed\ by\ the\ rays\ are\ NOT\ acute.[/tex]

[tex]Similarly,\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ right\ then:\\\angle POR, \angle ROQ, \angle POQ =90\\When\ we\ add\ them\ again:\\\angle POR+ \angle ROQ+ \angle POQ=90+90+90=270\\But\ again\ the\ sum\ here\ is\ equal\ to\ 270,\ but\ instead\ the\ sum\ had\ to\\ be\ equal\ to\ 360.\\Hence,\\The\ angles\ formed\ are\ NOT\ right.[/tex]

[tex]Lets\ consider\ the\ Last\ Case,\\If\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ\ are\ obtuse,\\\angle POR, \angle ROQ, \angle POQ>90\\When\ we\ add\ them:\\\angle POR+ \angle ROQ+ \angle POQ>(90+90+90)>270\\Here,\\The\ angles\ formed\ are\ greater\ than\ 270.\ As\ 360>270,\ the\ angles\ ARE\\ obtuse.[/tex]

Answer: D

Step-by-step explanation:

The rest are not

Answer:

[tex]-5\:\mathrm{and}\: 11[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}x+y=6\\x-y=16\\\end{cases}[/tex]

Adding both equations together, we isolate [tex]x[/tex] and get:

[tex]2x=22,\: x=11[/tex]

Plugging [tex]x=11[/tex] in any of the equations, we can solve for [tex]y[/tex]:

[tex]11+y=6,\: y=-5[/tex]

Verify that the solution pair [tex](11, -5)[/tex] works [tex]\checkmark[/tex]

Therefore, the two numbers are [tex]\fbox{$-5\:\mathrm{and}\: 11$}[/tex].

Answer:

the value of -6 is -6

Step-by-step explanation:

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

Answer:

The answer is row C

Step-by-step explanation:

6 - 3 = 3

Answer:

zuzhztxrctwhdvdhsuwjd

Step-by-step explanation:

since right angle triangle,then:

180-(90+35)=B=55

use cosB=opposite/hypotenuse

cos55=x/12

x=cos55x12

x=6.88

9514 1404 393

Answer:

  9.8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship involving the adjacent side and the hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(35°) = x/12

Multiplying by 12 gives x:

  x = 12·cos(35°) = 12×0.81215

  x = 9.8

Answer: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour

bottle 1: $2.97/100 oz = unit rate

bottle 2: $5.78/200 oz=unit rate

BOTTLE 1 =0.0297

BOTTLE 2 =0.0289

Answer:

Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.

May it help you

Answer:

Fugi=$1.50 per apple, Gala=$1.60 per apple. Fugi are cheaper

Answer:

Fuji apples are better because they only cost $1.50

Answer:

1/5

Step-by-step explanation:

im pretty sure thats it! and have a great day!

Answer:1/5 or 0.2

by-step explanation:

Answer:

x= 107.3-51

56.3

Step-by-step explanation:

Equation: First define your variables. We'll say x= the second number.

So we can make our equation x= 107.3-51

107.3-51 is 56.3.

So the solution is 56.3

Answer:

56.3 i the second angle

Step-by-step explanation:

107.3=x+51

subtract 51

56.3 is the second angle

Answer:

its A :)

Step-by-step explanation:

Answer:

y=1/3x-4

Step-by-step explanation:

Answer:

y=1/3x-4

Step-by-step explanation:

4 is negative cause it says less than..

Answer:

Sam is right.

Step-by-step explanation:

Key skills needed: Fraction Modelling, Fraction Division

1) We are given this problem --> [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex]

2) This means we need to find how many [tex]\frac{1}{4}[/tex]'s are in 6.

3) There are 2 ways to approach this problem

        1. The first way is via using the fractional division properties:

Let's say we are given a problem --> [tex]a[/tex] ÷ [tex]\frac{b}{c}[/tex]

This can be made into  --> [tex]a[/tex] × [tex]\frac{c}{b}[/tex]

It is a simple property that should be remembered.

This means that [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex] is the same as [tex]6[/tex] × [tex]\frac{4}{1}[/tex] which is 24.

        2. The second way is with using a model (which I am not very good with). The model way is the image I will post.

Hope you understand both ways and have a nice day!! :D    

The required equation represents the descent motion of the airplane is y = 27000 - 1333.333x and 11000 feet.

Given that,
An airplane prepares for landing. When it begins its descent towards the airport, the plane's altitude is 27,000 feet. After descending at a steady rate for 6 minutes, its altitude is 19,000 feet. Write an equation for the altitude of the plane.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the motion of the airplane,
m = 27000 - 19000 / 6 = 1333.33
The equation of the plane is given as,
y - y₁ = m (x - x₁)
Substitute the value in the above equation,
y - 27000 = -1333.33[x - 0]
y = 27000 - 1333.33x

Now put x = 12 in above equation,
y = 27000 - 1333.33[12]
y = 11000

Thus, the required equation represents the descent motion of the airplane as y = 27000 - 1333.333x and 11000 feet.

Learn more about slopes here:
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Answer:

C) $6.46

Step-by-step explanation:

Equations

The price per gallon of milk (m) and the price per gallon of orange juice (j) are given below:

m = 5.71 + 0.25n

j = 4.66 + 0.60n

Where n is the number of months after December 31, 2018.

It's required to find the value of n when both prices are equal:

4.66 + 0.60n = 5.71 + 0.25n

Subtracting 0.25n:

4.66 + 0.60n - 0.25n = 5.71

Subtracting 4.66:

0.60n - 0.25n = 5.71 - 4.66

Operating:

0.35n = 1.05

n = 1.05/0.35

n = 3

The price per gallon of milk for n=3:

m = 5.71 + 0.25*3

m = 5.71 + 0.75

m = $6.46

Answer:

Y= -2

Step-by-step explanation:

Answer:

h(6)=-24

Step-by-step explanation:

h(6)=-3(6)-6

h(6)=-18-6

h(6)=-24

The required value of h(6) of the function would be -24.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

Given the function h(x) = -3x - 6

We have to determine the value of h(6) of the function

⇒ h(x) = -3x - 6

Substitute the value of x = 6 in the above function, and we get

⇒ h(6) = -3(6) - 6

Apply the multiplication operation

⇒ h(6) = -18 - 6

Apply the addition operation

⇒ h(6) = -24

Therefore, the required value of h(6) of the function would be -24.

Learn more about the function here:

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Answer:

160 cm

Step-by-step explanation:

Answer:

5x/x-2

Step-by-step explanation:

rewrite it as x=2y/y-5 to make y the subject

multiply by (y-5) on both sides to get x(y-5)=2y

simplify x(y-5)=2y to get xy - 5x = 2y.

in order to get y as a subject you would need to move all the (y)s to one side.

Which would leave you with xy - 2y = 5x. you can now make y the subject from here through factorisation : y(x-2)=5x.

Then to finish with y as a subject divide (x-2) on both sides to get the answer which is : y = 5x/x-2

Sorry if this is confusing but this is me explaining how my thought process works for this question.

The inverse of the function will be -

f⁻¹(x) = 5/(1 - 2/x)

Given is f(x) = 2x/(x - 5)

We have -

y = 2x/(x - 5)

replace [x] with [y] as -

x = 2y/(y - 5)

Solving for y -

y/(y - 5) = x/2

(y - 5)/y = 2/x

(y /y - 5/y) = 2/x

(1 - 2/x) = 5/y

y = 5/(1 - 2/x)

f⁻¹(x) = 5/(1 - 2/x)

Therefore, the inverse of the function will be -

f⁻¹(x) = 5/(1 - 2/x)

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

81x^4/16  (81x to the fourth over 16)

Step-by-step explanation:

First you apply the exponent rule: (a/b)^c  ->  a^c/b^c

So it looks like this: 3x^2/4^2

Then you apply the exponent to the whole thing, and 3^4 is 81, x^4 stays like that, and 2^4 is 16

You can't simplify any more after that so that's your answer

Hope this helps!

Answer:

the answer is 200 square feet

Step-by-step explanation:

Answer:

Slope and Width

If it's too flat, drainage may become an issue, and if it's too steep, the surface becomes slippery and dangerous. As a general rule, a driveway should be less than a 15% grade, which means that it should not rise more than 15 feet over a distance of 100 feet.

Step-by-step explanation:

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