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natali 33 [55]
3 years ago
8

1 4 6 60 7 9 10TIME REMAIN41:42For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If

the total number ofcalories in Sameer's snack was 56, how many strawberries did he eat?6 strawberries8 strawberries14 strawberries22 strawberriesSave and ExitMark this and return

Mathematics
1 answer:
Alex777 [14]3 years ago
8 0
Well, if Sameer's plum was 32 calories, and we know his total snack was 56 calories, all we have to do is:

56-32=24

24 / 4 = 6

Sameer ate one plum (32Kcal) and 6 strawberries (4Kcal each)


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Answer:

1.1) B=12.42°, C=146.58°, c=15.37  

1.2) B=8°, C=124°, c=35.7  

2) In the case of SSA, when the given angle A is acute (<90°), the side "a" (opposite to the given angle "A") is less than the other given side "b" (a<b), and a > b sinA.  

3.1) Perimeter = 31.37 units, Area = 16.5 square units  

3.2) Perimeter = 73.70 units, Area = 75.6 square units  

4.1) Magnitude of vector AB=5.1

4.2) Direction of vector AB=348.69°  

5.1) The dot product of two vectors is equal to the sum of the product of their components

5.2) a . b = 10  

6.1) Trigonometric form: z = 3√2 (cos 315°+ i sin 315°)  

6.2) The 4th roots are:  

w1 = 18^(1/8) [cos(78.75°) + i sin(78.75°)]

w2 = 18^(1/8) [cos(168.75°) + i sin(168.75°)]

w3 = 18^(1/8) [cos(258.75°) + i sin(258.75°)]

w4 = 18^(1/8) [cos(348.75°) + i sin(348.75°)]


Step-by-step explanation:

3.1) Perimeter: P = a+b+c → P = 10+6+15.37 → P = 31.37  

Area: A = a b sinC / 2

Replacing the known values:

A = (10)(6) sin 146.58325418° / 2 → A = 60(0.55072472) / 2 →

A = 16.52174152 → A = 16.52 square units


3.2) Perimeter: P = a+b+c → P = 32+6+35.70 → P=73.70

Area: A = a b sin C /2

Replacing the known values:

A = (32)(6) sin 123.99036327° / 2 → A = 192(0.82913161) / 2 →

A = 75.59663485 → A = 75.6 square units

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3 years ago
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