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Nadya [2.5K]
2 years ago
11

A teacher has a total of 7/9 bucket of water to pour into pots with flowers that are standing in equal quantities on two windows

ills.The teacher pours 1/18 bucket of water into each pot.How many pots with flowers has the teacher watered on each windowsill?​
Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0

Answer:

14 pots

Step-by-step explanation:

if teacher pours 1/18 in each pot and there was 7/9 buckets in total, 9 fits into 18 twice so just 7X2 =14 and 9X2=18 so 14 pots were watered

hope this helps

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Which of the following is a binomial experiment? 1. A survey asking 75 people to name their favorite color 2. A survey asking 75
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Answer:

4. A survey asking 75 people if they like the new school building

Step-by-step explanation:

A binomial experiment consist of n trials but for every trial there are only two possible outcomes.

1. A survey asking 75 people to name their favorite color

There can be more than two answers to the given question so it is not a binomial experiment.

2. A survey asking 75 people to give their age

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3. A survey asking 75 people whom they voted for in the election

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4. A survey asking 75 people if they like the new school building

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(x sin a + y cos a)^2 + (x cos a – y sin a)^2 = x^2 + y^2
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Answer:

Proved

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Step-by-step explanation:

Required

Prove that:

(x\ sin\ a + y\ cos\ a)^2 + (x\ cos\ a - y\ sin\ a)^2 = x^2 + y^2

Solving from left to right:

Open brackets

(x\ sin\ a + y\ cos\ a)(x\ sin\ a + y\ cos\ a) + (x\ cos\ a - y\ sin\ a)(x\ cos\ a - y\ sin\ a) = x^2 + y^2x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a - 2xy\ sin\ a\ cos\ a + y^2\ sin^2 a = x^2 + y^2

Collect Like Terms

x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a  - 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2

x^2\ sin^2 a  + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2

Collect Like Terms

x^2\ sin^2 a + y^2\ sin^2 a + x^2\ cos^2 a + y^2\ cos^2 a = x^2 + y^2

Factorize:

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Further factorize

(x^2 + y^2)(sin^2 a + cos^2 a) = x^2 + y^2

In trigonometry:

sin^2 a + cos^2 a = 1

So, we have:

(x^2 + y^2)(1) = x^2 + y^2

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<em>Proved</em>

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