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saveliy_v [14]
2 years ago
8

If side b measures 5√3, what is the length of side c?

Mathematics
1 answer:
Leviafan [203]2 years ago
6 0

Answer:

10

Step-by-step explanation:

cos(30) = b / c

c = b / cos(30)

c = 5xsqrt(3) / 0.866

c = 10

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Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ​ ×3 2 1 ​
Inessa [10]

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

4 0
2 years ago
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Usimov [2.4K]

Answer:

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Step-by-step explanation:eeeeeeeeeeeeeeeee

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4 0
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On a shelf containing 53 comic books, 21 are Marvel titles, 17 are DC titles, 12 are Dark Horse titles, and 3 are Harvey titles.
Marizza181 [45]

Answer:

68% or \frac{36}{53}

Step-by-step explanation:

In order to find the probability of Geraldo selecting a comic that isn't a DC title, we have to subtract the amount of comics that are DC titles from the total amount of comics and then divide that number by the total amount of comics.

53 - 17 = 36

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8 0
3 years ago
How do you work this out? need help asap
Svetlanka [38]
Hello,

Line 1 is passing through (-4,3), (-2,7) has a slope of (3-7)/(-4+2)=2

Line 2 is passing through (2,9), (4,1) has a slope of (9-1)/(2-4)=-4

One other way:

y=9-1/2 x²
y'=-x

gradient 1=-(-2)=2 for point (-2,7)

gradient 2=-(4)=-4 for point(4,1)



6 0
3 years ago
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FrozenT [24]

Answer:

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Step-by-step explanation:

Subtract. 4.95-3.55 is 1.40

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2 years ago
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