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3 years ago

Right angled triangle calc: find a, b=24, c=33.94113

1 answer:

5 0

Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b²

a²+24²=33.94113²

a²+576=1,152.00031

a²=576.000306

a=24 (If you need the exact number, not rounded, it is 24.0000064)

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Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through

grigory [225]

Answer:

Step-by-step explanation:

product of slopes of perpendicular lines=-1

(t-5)/(3+4)×(2-3)/(-4-1)=-1

(t-5)/7×(-1/-5)=-1

(t-5)/35=-1

t-5=-1×35=-35

t=-35+5

t=-30

slopes of parallel lines are equal.

(-2+3)/(t-4)=(-1-4)/(4+2)

1/(t-4)=-5/6

t-4=-6/5

t=4-6/5=(20-6)/5=14/5

x>0,y<0

so P lies in4th quadrant.

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3 years ago

Use the given facts about the functions to find the indicated limit.

oksian1 [2.3K]

Answer: Option b.

Step-by-step explanation:

1. You can rewrite it as following:

$\lim_{x\to \ -6} 2$

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 2, no matter the value of x.

$\lim_{x\to \ -6} 2=2$

$\lim_{x\to \ -6} 1$

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 1, no matter the value of x.

$\lim_{x\to \ -6} 1=1$

2. Then:

$\lim_{x\to \ -6} (f/g)(x)=2/1=2$

3. The answer 2.

7 0

3 years ago

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Doreen bought a cell phone for x dollars. One year later the value of the phone was 0.75x. Which expression is another way to de

OLEGan [10]

3/4x

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75:25=3

100:25=4

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3 years ago

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Elenna [48]

Answer:

Step-by-step explanation:

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2 years ago

When two six-sided dice are rolled what is the probability that the product of their scores will be greater than six?

Pachacha [2.7K]

Answer: $\bold{\dfrac{11}{18}}$

Step-by-step explanation:

Think of the products row by row:

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21 22 23 24 25 26 - 3 products greater than 6

31 32 33 34 35 36 - 4 products greater than 6

41 42 43 44 45 46 - 5 products greater than 6

51 52 53 54 55 56 - 5 products greater than 6

61 62 63 64 65 66 - 5 products greater than 6

$\dfrac{\text{number greater than 6}}{\text{total possible outcomes}}=\dfrac{22}{36}=\dfrac{11}{18}\ when\ reduced$

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2 years ago

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