Kevin bought 30 pounds of flour for $12.
How many pounds of flour did he get per dollar?

Answer:

877.40

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:

Henry's friend referring to the disadvantage of Privacy.

Step-by-step explanation:

The main disadvantage of cloud storage is:

Your data is no longer in your physical storage while you are using a cloud service. So, who is responsible for ensuring that information is secure? This is a grey field which is still being worked out.

So, Henry's friend referring to the disadvantage of Privacy.

Answer:

E. The data is not under the owner’s direct control.

Step-by-step explanation:

took the test and got it right :)

Answer:

they have to sell 575 tickets so they could reach their goal.

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]

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:

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

Answer:

it is C

Step-by-step explanation:

Its c because i had the exact same problem

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:

Step-by-step explanation:

Let the amount be P

Compound interest:

Simple interest:

Alice should choose compound interest, Option A

Answer:

7p+7q+63

hope it helps.

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:

15x12=180mm

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

rate of change = slope = 5

Answer:

x=3

Step-by-step explanation:

54=9(x+3)

54=9x+27

27=9x

3=x

hope this helps! let me know if you have any questions abt how i solved

Answer:

[tex]g(x)=5x+21[/tex]

Step-by-step explanation:

The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.

In point-slope form:

[tex]g(x)-1=5(x+4)[/tex]

Rearranging for slope intercept form:

[tex]g(x)-1=5x+20\\g(x)=5x+21[/tex]

Answer:

3.5

Step-by-step explanation:

The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

The term pH is defined as the negative logarithm of the [H+] hydrogen ion.

The isolated hydrogen ion, represented by the symbol H+, hence it is used to represent a proton. Because the bare nucleus can readily combine with other particles like electrons, atoms, and molecules, the  hydrogen ion.

The formula for calculating [H+] hydrogen ion is as follows:

pH = - log[H+]

Given pH = 8.8

8.8 = - log[H+]

-8.8 =  log[H+]

Taking Antilogarithm Both side

Antilog of [-8.8] = [H ]

By solving above expression [H+]

= 1.58 x 10⁻⁹

Thus, 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

To learn more about the pH, follow the link;

https://brainly.com/question/15289741

#SPJ2

Answer:

associative property

Step-by-step explanation:

Answer: Разница между ними восемь

Step-by-step explanation:

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:

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

Answer:

Step-by-step explanation:

Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.

Answer:

D) (1, -1)

Step-by-step explanation:

point G corresponds with point L

the coordinates of pt G are (2, -2) so take 1/2 of each to get (1, -1)

Answer:

The band made $1,400

Step-by-step explanation:

8-4=4

350*4=1,400

Answer:

Step-by-step explanation:

surface of the entire object

1) bottom.  8*16= 128 sq inchs

2) triangle sides.    1/2 b*h =  1/2*16 *6 = 48  but there are 2 ,  the front, and the back.    (2*48)=96 sq

3) pitched tops  10*8=80   but there are 2   80*2 = 160 sq

total = 1+2+3

total = 128 + 96 + 160

total surface area = 384 [tex]inchs^{2}[/tex]

Answer:

-5x+5=10

-5x=10-5

-5x=5

x=-5/5

x=-1