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3 years ago

Find the missing side lengths. Leave your answer in simplest radical form

Mathematics

2 answers:

RUDIKE [14]3 years ago

8 0

Sin60°=p/h
or,√3/2=5√3/x
x=10
p=5√3 , h=x=10. then b=y=?
From Pythagoras theorem,
b²=h²-p²
=(10)²- (5√3)²
=100 - 75
=25
b=5. So,x=10 and y=5

kumpel [21]3 years ago

5 0

X=10 and y=5 so it's the first option

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What is 10 times as many as 1 hundred

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Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

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Ksju [112]

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Answer: The original price is $87.38

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dybincka [34]

Answer:

Each family spent about 34.25 on dinner

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$167 - $30 (tip) = 137

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BUT

if each family is seperate than they each spent about 11.75 on dinner

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I'm pretty sure the first one is the answer though

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3 years ago

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