Which number is between -0.49 and 0.01 on a number line?

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:

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    

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)

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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:

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:

[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:

Step-by-step explanation:

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:

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:

the value of -6 is -6

Step-by-step explanation:

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: D

Step-by-step explanation:

The rest are not

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:

mark as BRAINLY

Answer:

The answer is 3/5

Step-by-step explanation:

try math caculators to help you with these questions thats where i go the solution from.

-Best of luck

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.

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Answer:

160 cm

Step-by-step explanation:

Answer:

The answer is row C

Step-by-step explanation:

6 - 3 = 3

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:

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:

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:

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:

zuzhztxrctwhdvdhsuwjd

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:

its A :)

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

$6.25/100=0.0625

$2.50/0.0625=40

so your wage increased by 40%

Answer:

I have one below (It's kind of simple though..)

Step-by-step explanation:

Harry Had 5 Potions he made in Potions Class. He would like to share the 5 potions with his 2 friends, Ron and Hermione. How many potions do they each get? Write the equation for how many each person gets in fractional form

(This is a simple one I don't have a complicated one..)

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].