8.5675859

rational or irrational ?

Answer:

x = 19 degrees

Step-by-step explanation:

180 - 114 = 66

180 - 66 = 114

Other triangle angle is 114 degrees

114 + 47 = 161

180 - 161 = 19

x = 19 degrees

Answer:

.8 or 4/5ths cup

Step-by-step explanation:

divide number of bottles by cups

4 1/2 is 4.5

5 5/8 is 5.625

4.5/5.625 = .8 (or 4/5ths)

Answer:

1. $85

2. $90.10

3.$108.12

4.$54.06

Step-by-step explanation:

100-15=85 (15% of 100 is 15)

6 percent of 85 is 5.10. So 85 + 5.10=90.10

20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12

Now divide by 2 to get how much they each will pay 108.12/2 = 54.06

Answer:

877.40

Step-by-step explanation:

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Answer:

Step-by-step explanation:

a = 1935 / 5 is the change

b = 1960 / 10 is the change

c = 1950 / 20 is the change

They are all increasing i'd assume they all went threw a positive change

Answer:

10

Step-by-step explanation:

Answer:

235

Step-by-step explanation:

Answer:

THE SECOND ONE

Answer:

1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000

Answer:

A. Translation, Translation

Step-by-step explanation:

The pre-image was translated 1 unit up then it was translated 4 unit to the right.

Answer:

Where's the question?

Step-by-step explanation:

Answer:

we cant answer it theres no backup to the question

Step-by-step explanation:

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:

Cosine Ratio

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Consider the angle of θ=30°, then we can write:

[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]

Solving for x:

[tex]x=12\sqrt{3}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

Then:

[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]

[tex]x = 18[/tex]

Now apply the sine:

[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]

Solving for y:

[tex]y=12\sqrt{3}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

Then:

[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅

THIS IS NOT THE ANSWER, IT'S AN EXAMPLE!!

(You didn't show the numbers that were given for me to answer this. BUT in the example, it shows you how to solve it. Just replace the numbers I put with the ones you were given. If you want me to solve it still, please comment the numbers on this for the answer)

Example; First, write the formula.

A=bh

Next, substitute in the values you have been given.

A=6×2

Then, do the multiplication.

A=12

The answer is 12 sq. cm.

Answer:

40

Step-by-step explanation:

so (48/120)× 100%=40%

Answer:

y=3.5572205

x=0.1114441

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-4^3 = -64

Answer:

It is 7/24

Step-by-step explanation:

So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.

Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.

Everything changed should be 16/24-9/24

then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24

Answer:

1 5/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the amount be P

Compound interest:

Simple interest:

Alice should choose compound interest, Option A

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]

Answer:

it is C

Step-by-step explanation:

Its c because i had the exact same problem

Answer:

a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]

Step-by-step explanation:

a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]

Taking √3 & √5 common respectively,

[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]

[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]

[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]

Taking 4 common ,

[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]

Answer:

y = 8/6x + 10/3

Step-by-step explanation:

You find the slope (m) first which is

Change of y over change of x

(6) - (-2)   over   (2)- (-4)

8/6 = m

Then you plug it into the equation y = mx + b

y = (8/6)x + b

Now you pick any of the set of points to plug in for x and y to solve for b

(6) = (8/6)(2) + b

6 = 8/3 + b

b = 10/3

Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.

y = 8/6x + 10/3

Answer:528

Step-by-step explanation:

This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528

Answer:

2.2 * 2.2 = 4.84

4.84 * 6 = 29.04