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statuscvo [17]
3 years ago
11

3/8 divided by 10 1/2

Mathematics
2 answers:
kenny6666 [7]3 years ago
5 0
I think that it is 0.035 or 3/100
Reil [10]3 years ago
5 0
You should get your answer as 1/28. 
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Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, −1), B(4, −3, 0), C(1
zavuch27 [327]

Answer:

Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors  

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19  

|AC| = √(0^2+4^2+2^2 )=2√5

|BC| = √(〖(-3)〗^2+1^2+3^2 )=√19

3. Find the angles between them

cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

AB, AC : θ =arc cos (AB.AC)/(|AB||AC|) = arc cos ( (3.0+3.4+ -1.2)/(√19  x 2√5)=  10/(2√95) ) =59.136, which is approximately 59.14°

AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19  x √19)=  (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

You can confirm using the formula again :

AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19  x 2√5)=  10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

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3 years ago
A sea lion dove from the water's surface at sea level to an altitude of −216.12 meters in 2.4 minutes. What is the average chang
alexandr1967 [171]
2.4 minutes is 144 seconds. divide -216.12 by it to get altitude per second. This is 1.5 meters per second. Multiply this by 60 to get the rate per minute, totaling 90.05 meters per minute. Sorry if this explanation was long that was how I remember.
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A wire costs $2 per meter. How much will 3 kilometers of wire cost?
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Step-by-step explanation:

3 km = 3000 m

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Answer:

D

Step-by-step explanation:

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Ivanshal [37]
4x^2 + 12x + 5 =
(2x + 1)(2x + 5)
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