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LiRa [457]
2 years ago
9

Find x a) 21 √2 b)7 c)21 √2/2 d)21 √3/2

Mathematics
1 answer:
fgiga [73]2 years ago
5 0

Answer:

C

Step-by-step explanation:

Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos45° = \frac{1}{\sqrt{2} } , thus

sin60° = \frac{opposite}{hypotenuse} = \frac{opp}{7\sqrt{3} } = \frac{\sqrt{3} }{2} ( cross- multiply )

2 × opp = 21 ( divide both sides by 2 )

opp = \frac{21}{2}

Now consider the right triangle on the right, using the cosine ratio

cos45° = \frac{adjacent}{hypotenuse} = \frac{\frac{21}{2} }{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = \frac{21}{2} × \sqrt{2} = \frac{21\sqrt{2} }{2} → C

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Answer:

Wouldn't it be 1/3 ??

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3 years ago
(3/2^a + 1/4a^2=3/2a^3)
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Step-by-step explanation:

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2 years ago
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Aleksandr-060686 [28]

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 15.7

H1 : μ < 15.7

This is a one sample t test :

Test statistic = (xbar - μ) ÷ (s/√(n))

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Using calculator :

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Test statistic = (15.41 - 15.70) ÷ (0.419/√(33))

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Pvalue(-3.976, 32) = 0.000187

Decison region :

Reject H0 if Pvalue < α

Since Pvalue < α ; we reject H0

There is significant evidence to conclude that the true average height of the seedlings treated with an extract from Vinca minor roots is less than 15.7 cm.

4 0
2 years ago
laptop screen sizes are determines by the diagonal measurement rounded to the nearest whole number a laptop screen has a 9 in wi
Delvig [45]
------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
a² + b² = c²

------------------------------------------------------------------------------------------
Find Diagonal
------------------------------------------------------------------------------------------
9² + 7² = c²
c² = 81 + 49
c² = 130
c = 11 in (Nearest whole number)

------------------------------------------------------------------------------------------
Answer: The diagonal measure 11 inches
------------------------------------------------------------------------------------------
6 0
3 years ago
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