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The percentage discount per sack when you buy two sacks is 14.5%

The given parameters are:

The percentage discount is calculated as:

[tex]Percentage = \frac{Cost - Discount}{Cost} * 100\%[/tex]

This gives

[tex]Percentage = \frac{15.5 - 13.25}{15.5} * 100\%[/tex]

Evaluate

Percentage = 14.5%

Hence, the percentage discount per sack when you buy two sacks is 14.5%

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Answer:

2, 10, 50, 250

Step-by-step explanation:

For geometric sequences, multiply the previous term by the common ratio.

Using the formula for geometric sequences [tex]a_{n} =ar^{n-1}[/tex] , with [tex]a_{n}[/tex] being the nth term (so n=4 for the fourth term), a being the first term, and r being the common ratio.

Our starting term is 2. So that is automatically the first term of the four.

Second term:

[tex]a_{2} =2*5^{2-1}=2*5^1=2*5=10[/tex]

Third term:

[tex]a_{3} =2*5^{3-1}=2*5^2=2*25=50[/tex]

Fourth term:

[tex]a_{4} =2*5^{4-1}=2*5^3=2*5*5*5=10*25=250[/tex]

Answer: 1190 pages

Step-by-step explanation:

The word problem states that Grace has a set of 14 notebooks, and each notebook has 85 pages. To find the total number of pages, we want to multiply the number of pages in each book by how many books there are.  

14×85=1190 pages

The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it.  Looking at the problem statement, it asks for us to determine the area of the figure.  In return, we are given the radius of the circle along with the number to use for pi.

Now that we have gathered all of the important information, we can move onto the actual calculations of the problem.  Let us use the area of a circle formula to be able to capture the work.

Plug in the values

Now that we have the expression ready we have several steps that need to be completed in order to have our area ready.  Let us start by expanding the exponent.

Expand the exponent

Multiply

Simplify the expression

Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.

Answer:

616 square centimeters

Step-by-step explanation:

Area of a circle: πr²

Given:

Substitute the given values into the formula:

[tex]A=\dfrac{22}{7}\times(14)^2\\\\A= \dfrac{22}{7}\times \dfrac{196}{1}\\\\A= \dfrac{4312}{7}\\\\A = 616[/tex]

Therefore, the area of the circle is 616 cm².

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Answer:

FA: Chord

BO: Radius

CO: Radius

DO: Radius

EO: Radius

CE: Diameter

Step-by-step explanation:

Hello!

Some lines in a circle:

Segment FA

This has endpoints inside the circle, but doesn't go through the center. This is a chord.

Segment BO

BO has an endpoint on the center and and an endpoint on the perimeter. This is a radius.

Segment CO

This is also a radius, it has an endpoint on the center and another endpoint on its perimeter.

Segment DO

This is a radius, it has n endpoint on the center and another endpoint on the perimeter

Segment EO

Another radius, with a an endpoint on the center and another endpoint on the perimeter.

Segment CE

A diameter. It has two endpoints on the perimeter of the circle and goes through the center of the circle.

Answer:

B

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 ( subtract 1 from both sides )

sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )

cos²x - 1 = - sin²x

then

[tex]\frac{cos^20-1}{4sin^20}[/tex]

= [tex]\frac{-sin^20}{4sin^20}[/tex] ← cancel sin²Θ on numerator and denominator

= [tex]\frac{-1}{4}[/tex]

= - [tex]\frac{1}{4}[/tex]

Types of Triangles (Angles):

---Acute = all angles are less than 90 degrees

---Right = one angle is equal to 90 degrees

---Obtuse = one angle is greater than 90 degrees

Types of Triangles (Side Lengths):

---Equilateral = all sides are the same length

---Isosceles = two sides are the same length

---Scalene = all sides are different lengths

The following triangle is obtuse and scalene. It has one angle that is greater than 90 degrees and its sides are all different lengths.

Hope this helps!

B. Scalene

E. Obtuse

Triangles can be classified in 2 different ways. They can be classified based on their sides and angles.

Sides

There are 3 different categories for the sides: scalene, isosceles, and equilateral.

Angles

Triangles can be classified as acute, obtuse, or right based on their angles.

Scalene Obtuse Triangle

The triangle above has no equal sides, so it must be scalene. Additionally, because one of the angles is 132 degrees, it must be an obtuse triangle.

Answer:

slope has a gradient of -3/5

Step-by-step explanation:

change in y / change in X

-6 / 10

for the length use Pythagoras

Answer:

57

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

  (a, y) = (10, 25)

Step-by-step explanation:

The two constraints give rise to two inequalities: one for the maximum number of pieces shipped, and one for the minimum revenue. A solution is a point on the graph where the inequality solutions overlap.

__

  We're told to use 'a' for the number of chairs, and 'y' for the number of tables.

  a +y ≤ 45 . . . . . . the maximum number that can be shipped is 45

  200a +650y ≥ 16000 . . . . . revenue must be at least 16000

The line for the revenue equation has a slope of -200/650 = -4/13. The solution space is above this line.

The line for the quantity shipped equation has a slope of -1, somewhat steeper. The solution space is below this line.

The boundary lines combine to define a wedge-shaped solution area in the left part of the first quadrant. One point that can be found in that area is ...

  (a, y) = (10, 25)

One possible solution is to sell 10 chairs and 25 tables.

The total surface area of the given pyramid is:

A = 39ft²

The total surface area will be equal to the sum of the areas of the square and the 4 triangles.

Remember that for a square of side length S, the area is:

A = S².

In this case, S = 3ft, then:

A = (3ft)² = 9ft².

Now, the area of a triangle of base B and height H is:

A = B*H/2.

Here we can see that the triangles have a base of 3ft (the sides of the square) and a height of 5ft, then the area of each triangle is:

A = (3ft)*(5ft)/2 = 7.5 ft²

Then the total area of the figure is:

A = 4*(7.5 ft²) + 9ft² = 39ft²

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The total cost of these pepperoni slices is $1.92

Each slice measures 7/8 of an inch. Here we have N slices, such that the measure of the N slices is 56 inches, then we have:

N*(7/8 in) = 56 in

Now we can find the value of N, the number of slices used:

N = (8/7)*56 = 64

And each slice costs $0.03, then the cost of the 64 slices is:

C = $0.03*64  = $1.92

The total cost of these pepperoni slices is $1.92

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The positive measure is 220° and the negative measure is -140°.

First, we know that the reference angle is 40°, and it lies on the third quadrant.

So these 40° are measured from the negative x-axis (the axis where the quadrant starts).

This means that the angle measured in the standard way (from the positive x-axis) measures:

M = 40° + 90° + 90° = 220°.

To find the negative measure, we remember that any angle A is equivalent to:

B = A + n*360°.

Where n is an integer.

If we take n = -1 for our angle, we get:

M' = 220° + (-1)*360° = -140°.

So the positive measure is 220° and the negative measure is -140°.

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Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

Answer:

3

The degree of a polynomial is the highest power of any variable in the polynomial equation.

Here the highest power is 3 of the monomial with co-efficient of 2.

To find the area of a complex shape:

 ⇒ must cut the whole shape into a simpler shape

Let's calculate:

             [tex]Area = \frac{1}{2}*4*8 + \frac{1}{2}*4*8=16+16=32\\[/tex]

             [tex]Area = \frac{1}{2}*4*10 + \frac{1}{2}*4*10=20+20=40[/tex]

             [tex]Area = 4 * 4=16[/tex]

Total Area: 32 + 40 + 16 = 88 in²

Answer: 88 in²

Hope that helps!

Answer:

Given a bus can ferry a maximum of 12 people .by setting up an inquality find minimum number of bus that are needed to ferry 80 people

Given a bus can carry a maximum of 12 people. We need to find minimum number of buses to carry 80 people.

Now 12 people can go in 1 bus.

Therefore 1 person can go in 1/12 bus

Now 1 person can go in 1/12 bus

Therefore 80 people can travel in 1/12 x 80

                                                   = 6.6  

                                                    = 7

Therefore minimum buses needed will be 7

Now we can write inequality as 12 x x > = 80

                    Or x ≥ 80 / 12

       or x > = 6.6

Step-by-step explanation:  Hopes it help

                                            Please mark my answer as a brainliest!

Answer:

Answer E is correct

Step-by-step explanation:

We know that,

[tex](x^ay^b)^c=x^a^cy^b^c[/tex]

Let us use the above to find the answer to this question.

Let us solve it now.

[tex](a^\frac{2}3} b^\frac{1}{3})^\frac{1}{2}[/tex]

[tex]a^\frac{2}3}^*^ \frac{1}{2} *b^\frac{1}{3}^*^\frac{1}{2}[/tex]

[tex]a^\frac{2*1}{3*2} * b^\frac{1*1}{3*2}[/tex]

[tex]a^\frac{2}{6} * b^\frac{1}{6}[/tex]

Here, we can simplify the [tex]a^\frac{2}{6}[/tex] as [tex]a^\frac{1}{3}[/tex] by dividing the numerator and denominator by 2.

Therefore, the answer will be,

[tex]a^\frac{1}{3} b^\frac{1}{6}[/tex]

Answer:

200 US DOLLARS

Step-by-step explanation:

Given; $1=R17

To find: How much is Zar3400 in US DOLLARS

$1=R17

R3400=3400/17 US DOLLARS

=200 US DOLLARS

Hope my answer is right thank you.

Answer:

ok so

Step-by-step explanation:

add them alll up which is 33. then do 33 divided by 10 because thats how many numbers there are and mean is adding all the numbers up and dividing them so 3.3  degrees celsius

Answer:

  not direct variation

Step-by-step explanation:

You want to know if the equation y = 3x +2 represents a direct variation between x and y.

Direct variation is characterized by the equation ...

  y = kx

for a constant of variation k. The point (0, 0) is on a graph of direct variation.

The given equation is not in this form, and cannot be put in this form. The value of y when x=0 is not 0, so the variation is not direct.

<95141404393>

Answer:

Point A:

(1, 1) -----> (-1, 1)

Step-by-step explanation:

When reflecting over the y-axis, take the opposite of the x-coordinate. That means if the coordinate is positive then it becomes negative, and if it is negative then it becomes positive.

(x, y) -------> (-x, y)

Point A:

(1, 1) -----> (-1, 1)

Answer:

0.2÷3.0=15.0

Step-by-step explanation:

[tex]\huge\underline{Answer -}[/tex]

[tex] \huge{\implies \: \frac{ - 2 \frac{1}{4} }{ - \frac{ 2}{3} }} \\ \\ \\ \\ \huge{\implies \: \frac{ \frac{ - 9}{4} }{ \frac{ - 2}{3} } } \\ \\ \\ \\ \huge{\implies \: - \frac{9}{4} \div (\frac{ - 2}{3} )}[/tex]

therefore , option ( 2 ) is correct.

hope helpful -,-