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pentagon [3]
2 years ago
15

Work out the lengths of sides a and b. Give your answers to 1 decimals place. (Pythagoras theoram

Mathematics
1 answer:
Simora [160]2 years ago
8 0

Step-by-step explanation:

h²=o²+a²

a²=8²+5²

a²=64+25

a²=89

a=√89

a=9.433

To one decimal place it is 9.4

for b,

h²=o²+a²

17²=b²+12²

289=b²+144

289-144=b²

145=b²

b=√145

b=12.041

To one decimal place it is 12.0

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A square playground has an area of 175 m2. What is the approximate length of each side of the playground? Round your answer to t
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We know that the area of a square = side ²

Therefore, for a known area A, the side length is
side = √ (area)
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4 0
3 years ago
It is estimated that 4000 of the 10,000 voting residents of a town are against a new sales tax. If 15 eligible voters are select
Alenkasestr [34]

Answer:

The probability that at most 7 favor the new tax is 0.7869

Step-by-step explanation:

Total number of voting resident = 10000

number of voting resident against new sales tax = 4000

therefore probability of choosing a voting resident against new sales tax = 4000/10000 = 0.4

If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax

Using binomial,

number of selected voters(n) =15,

p=0.4

P(x<=0.7) = binomialcdf(15, 0.4, 7)

Using your calculator

P(x<=0.7) = binomialcdf(15, 0.4, 7) = 0.7869

3 0
3 years ago
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Nutka1998 [239]
You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.
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