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2 years ago

PLEASE HELP I GIVE THANKS

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

7 0

4)
4 is for the Library, 6 is for the park, Police is 5 north up...
Distance of Police from park is by using Pythagoras Theorem:

x^2 = 5^2 + 6^2
x^2 = 25 +36
x^2 = 61 Take the square root of both sides.
x = square root (61) = 7.81.
x = 7.8 miles to the nearest tenth.

5)
Since it is a square garden, let the side be = x.
The length of the fence = x + x +x +x = 4x.
Let length of diagonal = d =34.

By Pythagoras theorem.
x^2 + x^2 = d^2.
2x^2 = 34^2. Divide both sides by 2.

x^2 = (34 *34) / 2 = 17 * 34, Use your calculator.

x^2 = 578. Take square root of both sides.

x = square root (578)
x = 24.04

Total fence = 4x = 4*24.04 = 96.16.

Total fence = 96 feet to the nearest feet.

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Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

P(2) is true
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this simply means that ; P(n) is true for all 'n' in the set

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b) since P(0) and P(1) are true

we will assume that

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we will assume that

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we will assume

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2 years ago

4 cot theta<br>=<br>tan theta<br>how do I I find the value of quadrant?

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Answer:

4cotα=tanα

4(1/tanα)=tanα

(4/tanα)=tanα

cross multiply

=> 4=tan²α

√4=√tan²α

±2=tanα

α=arc( tan) |2|

α=63.4° ( in first quadrant)

and

α=180+63.4=243.4 in the third quadrant

since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)

α=180–63.4=116.6° in the second quadrant

α=360–63.4=296.6 in the fourth quadrant

therefore theta( in my case, alpha) lies in all four quadrants and is equal to:

α=63.4°,243.4°,116.6°and 296.6°

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3 years ago

An athletic coach conducted an experiment to test whether a four-week stretching and flexibility program reduces the number of m

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Step-by-step explanation:

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2 years ago

Read 2 more answers

1. A weighted coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the pr

ohaa [14]

Answer:

80/81

Step-by-step explanation:

If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.

The probability of getting at least 1 head involves 4 scenarios:

1) 1 Head and 3 Tails

2) 2 Heads and 2 Tails

3) 3 Heads and 1 Tail

4) 4 Heads

Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:

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Then, P(at least one head) = 1 - 1/81=80/81

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