3 years ago

If you cut a 35-inch long stick in the ratio 2:3, how long would each part be?

Mathematics

1 answer:

boyakko [2]3 years ago

6 0

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For the pair of similar triangles, find the value of x.

Murljashka [212]

Find the scale between sides xz and gh

18/4 = 4.5

Multiply the length of fh by the scale to find x

6 x 4.5 = 27

x = 27

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2 years ago

If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.

alukav5142 [94]

Answer: The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = $\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m$

As we know that surface area of a cone is given by

$S.A. = \pi r(l+r)$

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

$190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6$

Hence the slant height of the cone is 65.6 m

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3 years ago

A long distance phone call between two cities costs $3.43 for 7 minutes. What is the rate in cents per minute?

Evgesh-ka [11]

3.43 dollars divided by 7 minutes = 0.49 cents

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3 years ago

What is the square root of pie times 9 Plus 44 X 60+89

spin [16.1K]

$\sqrt{9+44\cdot60+89}=\sqrt{98+2640}=\sqrt{2738}=\sqrt{2\cdot37\cdot37}=37\sqrt2$

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3 years ago

Simplify (-x + 3) - (x - 5)

anastassius [24]

The answer would be -2x + 8.

3 - x - (x - 5)

3 - x - x + 5

3 + (-x - x) + 5

3 - 2x + 5

(<u>-2x + 8).</u>

7 0

3 years ago

Read 2 more answers