Last year a company spent a total of £2400 on advertising. This year they spent £2796 What was the percentage increase in their spending on advertising?
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Answer with step by step explanation

First, let us find the circumference of the small circle.

The radius of the small circle is 5 cm.

So, now let us see the formula which is needed to find the circumference.

C = 2 π r

Let us find it now.

Circumference of the small circle.

C = 2 π r

C = 2 × 3.14 × 5

C = 31.4 cm

  ≈ 30 cm → nearest 10th

Now let us find the circumference of the big circle.

The radius of the big circle is 10 cm.

C = 2 π r

C =  2 × 3.14 × 10

C = 62.8 cm

   ≈  60 cm → nearest 10th

[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x[/tex]

The volume of the prism is 2 cm³.

Option B is the correct answer.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The volume of the prism:

= Base area x height

Now,

Base area = 4 x 1 = 4 cm²

Height = 1/2 cm

Now,

The volume of the prism.

= 4 x 1/2

= 2 cm³

Thus,

The volume of the prism is 2 cm³.

Learn more about prism here:

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#SPJ7

Answer:

the answer is five 5 students prefer football

Answer:

The answer would be adding its opposite.

Answer:

its subtracting its opposite

Step-by-step explanation:

Answer:

slope = 3x

Step-by-step explanation:

Equation is y = 3x - 6
3x is slope

Answer:

-4x - 3

Step-by-step explanation:

4x + 3 + y = 0

y is additive inverse

y = -4x - 3

-4x - 3 + 4x + 3 = 0

0 = 0

cancels out

Answer:

9 cm

Step-by-step explanation:

A= lw

54=6w

9=w

Answer:

9 cm

Step-by-step explanation:

⇒ Area of rectangle = (L)(B)

Substitute the length, breadth, and the area in the formula:

⇒ Area of rectangle = (L)(B) = 54 cm²

⇒ (6)(B) = 54 cm²

Divide 6 both sides:

⇒ (6)(B)/6 = 54/6 cm²

⇒ B = 9 cm

Thus, the measure of the width is 9 cm.

Answer:

82cm

Step-by-step explanation:

ihope it helps thanks

Alright let's solve this step by step:

            ⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km

            ⇒ Height = 4.3km

        ⇒ area of the two rectangles on the narrower side of the figure

            ⇒ plus the area of the pentagon on the wider side of the figure

                 = [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]

   Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2

    Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2

     ⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2

Hope that helps!

Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

This is a technique used to change the position or size of an object on the xy plane.

Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'

If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)

If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)

If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)

Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

Learn more on transformation here:

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Answer:

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

1

y-intercept:

(

0

,

0

)

x

y

0

0

1

1

Answer:

0.19, 0.23, 0.28...............

Answer:

The 63rd Term Is 309

Step-by-step explanation:

A fraction/probability is created by taking what we want and putting that over the total.

In this case, we want yellow out of the total number of marbles.

Yellow Marbles = 1

Total Marbles = 6 + 1 + 2 + 3 = 12

Probability/Fraction = 1 / 12

Hope this helps!

You could do

36+12

4*12

4*9+12

(4*9)+(3*4)

and many more!

Answer:

False

Step-by-step explanation:

Vertical angles are not always adjacent, but they are always congruent.

Hope that helps!

Answer:

False

Step-by-step explanation:

Hope it will help you*

Answer:

x = 20

y = 10√3, or 17.32

Answer:

The width W is :

[tex]W=\frac{3}{5}[/tex]

Step-by-step explanation:

Let A be the area of the rectangle

Let L be the length of the rectangle

Let W be the width of the rectangle

______

Formula:

A = L × W

__________

[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]

Answer: 47/90

Step-by-step explanation:

3/10+2/9=47/90 somehow ig

Answer:

i think d but i don't know for sure

Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Ryan will have to make a monthly payment of $195.41

Maybe 11x? i dont really know, thats all the info we get

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5  = 44.3479276261 = 44.85 ft

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Answer:

44.35

Step-by-step explanation:

i did it

Answer:

-2(x-5)=-2x-10 = -20

or

-2(x-5)=-2x-10 = 20

Answer:

x = - [tex]\frac{3}{2}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

4x² + 4x = 3 ← factor out 4 from each term on the left side

4(x² + x) = 3

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² + x

4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) = 3

4(x + [tex]\frac{1}{2}[/tex] )² - 1 = 3 ( add 1 to both sides )

4(x + [tex]\frac{1}{2}[/tex] )² = 4 ( divide both sides by 4 )

(x + [tex]\frac{1}{2}[/tex] )² = 1 ( take square root of both sides )

x + [tex]\frac{1}{2}[/tex] = ± 1 ( subtract [tex]\frac{1}{2}[/tex] from both sides )

x = - [tex]\frac{1}{2}[/tex] ± 1

then

x = - [tex]\frac{1}{2}[/tex] - 1 = - [tex]\frac{3}{2}[/tex]

x = - [tex]\frac{1}{2}[/tex] + 1 = [tex]\frac{1}{2}[/tex]

Answer:

(1.2, 1.6)

Step-by-step explanation:

Rewrite both equations to make y the subject:

Equation 1:  3x - y = 2

⇒ 3x = 2 + y

⇒ y = 3x - 2

This line has a positive slope.

Equation 2:  2x + y = 4

⇒ y = -2x + 4

This line has a negative slope.

Therefore, the graph that has been plotted is y = 3x - 2

Plotting second graph

Equation of the line:  y = -2x + 4

Input x = 0 into the equation and solve to find the y-intercept:

⇒ y = -2(0) + 4 = 4

Therefore, the y-intercept is (0, 4)

Input y = 0 into the equation and solve to find the x-intercept:

⇒ 0 = -2x + 4

⇒ 2x = 4

⇒ x = 2

Therefore, the x-intercept is (2, 0)

Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.

The solution to the system is the point of intersection of the two lines.  From inspection of the graph, this is (1.2, 1.6)

------------------------------------------------------------------------------------------------

Solving algebraically

Equation 1:  3x - y = 2

Equation 2:  2x + y = 4

Sum the equations to eliminate y:

[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]

Solve for x:

[tex]\implies x=\dfrac65=1.2[/tex]

Substitute found value of x into one of the equations and solve for y:

[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]

So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)

What's the question???

Answer:

Question Please

Step-by-step explanation:

I will solve it

Using sampling concepts, it is found that these following sample is biased.

Select all students in all Miami high schools.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:

Select all students in all Miami high schools.

More can be learned about sampling concepts at https://brainly.com/question/25122507