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2 years ago

A manufacturing company has the logo

Mathematics

1 answer:

Tanzania [10]2 years ago

5 0

Answer = Red portion

Firstly, find out the area of the red portion (the area around the centre).

The three figures around the centre are trapeziums, so use the trapezium area equation.

a + b / 2 x h

4.5 + 5 = 9.5

9.5 / 2 = 4.75

4.75 x 1.5 = 7.125

As there are three trapeziums, times the area by 3.

7.125 x 3 = 21.375

Area of red portion = 21.375
—
Next, find out the area of the blue portion.

As the blue portion is in the centre and the figure at the centre is an equilateral triangle, use the equilateral triangle area equation.

root 3 / 4 x a^2

root 3 / 4 x 5^2 = 10.83 (rounded to 2 d.p)
—
Area of red portion = 21.375

Area of blue portion = 10.83

This means that the red portion has a greater area.

Hope this helps :)

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★ 100% of 15 = X

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$\implies \mathsf{X = 15}$

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$\implies \mathsf{20\%\;of\;15 = \left(\dfrac{20}{100} \times 15\right)}$

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<u>Answers</u> : X = 15 and Y = 3

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2 years ago

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find the surface areas of the larger cone and the smaller cone in terms of pi. compare the surface areas using a percent. (the m

serious [3.7K]

ANSWER :

Surface area of larger cone : 24π units^2

Surface area of smaller cone : 6π units^2

The surface area of the smaller cone is 25% of that of the larger cone.

EXPLANATION :

From the given problem,

AB = 3 is the radius of the larger cone and the slanted height is BC = 5

DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5

Recall the surface area of the cone :

$A=\pi r^2+\pi rL$

where r = radius and L = slanted height.

For the larger cone, r = 3 and L = 5

$\begin{gathered} A=\pi(3)^2+\pi(3)(5) \\ A=24\pi \end{gathered}$

For the smaller cone, r = 1.5 and L = 2.5

$\begin{gathered} A=\pi(1.5)^2+\pi(1.5)(2.5) \\ A=6\pi \end{gathered}$

Comparing the surface areas :

The area of the smaller cone compared to the larger cone is :

$\begin{gathered} \frac{smaller}{larger}\times100=\frac{6\pi}{24\pi}\times100 \\ \\ =25\% \end{gathered}$

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8 months ago

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ololo11 [35]

Answer:

Step-by-step explanation:

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A. 0.33 is a valid response, since it represents 33%.

B. 56% is also a valid response.

C. 7/8 is also a valid response since it represents 0,875 or 87,5%.

Hope it helped,

BiologiaMagister

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Answer:

Mika would be 84 meters ahead

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