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Rainbow [258]
2 years ago
12

Adam collected 1 seashell a day for 9days Braden collected 2seashells a day for 14 days how many more seashells did Braden get m

ore than Adam
Mathematics
1 answer:
sesenic [268]2 years ago
5 0

Answer:

19 more shells

Step-by-step explanation:

adam....1 seashell per day for 9 days = (9 * 1) = 9 shells collected

brayden....2 seashells per day for 14 days = (14 * 2) = 28 shells collected

so brayden collected (28 - 9) = 19 more shells then adam did

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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
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Dahasolnce [82]

Answer:

I tried my best to explain it, hope it helps!

Step-by-step explanation:

8 0
2 years ago
Bella's Pizza Shop charges $4.50 for a small pizza, $7 for a medium pizza, and $9 for a large pizza. Toppings cost extra dependi
rusak2 [61]
The unit price of each topping is $1.40. Divide $12.60 by the 3 toppings. That will give you the price of all 3 toppings together which is $4.20. Divide $4.20 by 3 and that will give you the unit price of each individual topping which is $1.40. To check your answer, multiply $1.40 by 3 which is $4.20. Then, multiply $4.20 by 3 which gives you the whole price which is $12.60
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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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aleksley [76]

Answer:

Rounded to a whole number, the player has 12 bonus stars.

Step-by-step explanation:

Since the video game establishes that for every 1,333 points of attack power 3 levels are gained, and that the player has a total of 0.21 million attack points, to determine the number of levels that player has it is necessary to perform the following calculation :

0.21 million = 210,000

210,000 / 1,333 x 3 = Levels

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Now, every 38 levels, the game awards a bonus star. To determine the amount of bonus stars that the player has, the following division must be made:

472.6 / 38 = X

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Thus, rounded to a whole number, the player has 12 bonus stars.

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3 years ago
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