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3 years ago

Simplify the problem by canceling then multiply. What is 2/9 × 3/5

Mathematics

1 answer:

andrew-mc [135]3 years ago

8 0

2/9 and 3/5 cancel each other out:

2/3 and 1/5 is the new fraction

2/3 * 1/5 = 2/15

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amid [387]

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2 years ago

The sides of a triangular plot are in the ratio 3 : 5 : 7 and its perimeter is 300 m. find its area

STALIN [3.7K]

Given :

The sides of a triangular plot are in the ratio 3 : 5 : 7 .
Its perimeter is 300 m.

⠀

To Find :

Its area.

⠀

Solution :

Let us assume the sides in metres be 3x, 5x and 7x .

⠀

Then, We know,

$\qquad \sf \dashrightarrow \: 3x + 5x + 7x = 300 \: \: \: \: \: \: \: Perimeter_{(Triangle)}$

$\qquad \sf \dashrightarrow \: 15x = 300$

$\qquad \sf \dashrightarrow \: x = \dfrac{300}{15}$

$\qquad \bf\dashrightarrow \: x = 20$

⠀

So, The sides of the triangle are :

$\qquad \sf \dashrightarrow \: 3 \times 20 \: m = \bf60 \: m$

$\qquad \sf \dashrightarrow \: 5 \times 20 \: m = \bf 100 \: m$

$\qquad \sf \dashrightarrow \: 7 \times 20 \: m = \bf140 \: m$

⠀

Now, Using Heron's formula :

We have,

$\qquad \sf \dashrightarrow \: s = ( {60 + 100 + 140}) \: m = 300 \: m$

$\qquad \sf \dashrightarrow \: s = \dfrac {60 + 100 + 140}2 \: m = 150 \: m$

⠀

And the Area will be :

$\qquad \sf \dashrightarrow \: \sqrt{150(150 - 60)(150 - 100)(150 - 140)} \: {m}^{2}$

$\qquad \sf \dashrightarrow \: \sqrt{150 \times 90 \times 50 \times 10} \: \: {m}^{2}$

$\qquad \sf \dashrightarrow \: 1500 \sqrt{3} \: {m}^{2}$

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2 years ago

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murzikaleks [220]

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2 years ago

Circumference of a circle

irakobra [83]

Answer:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Step-by-step explanation:

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3 years ago

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Mary spent 3/4 of her money on a jacket. She spent 1/4 of the remainder on a shirt. The jacket cost $33 more than the shirt. How

Leviafan [203]

$49.50 the jacket costs this because her total amount was $66. to find total money I said 3/4x - 1/4x = $33 so 1/2x =$33 and x= $66. then multiply the total by 3/4 to get $49.50

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3 years ago