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Vika [28.1K]
3 years ago
10

Find the value of tan(sin^-1(½)) a. sqr3 C. sqr3/3 B. -sqr3 D. -Sqr3/3

Mathematics
1 answer:
laiz [17]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Given

tan(sin^{-1}(\frac{1}{2}))

Evaluate

sin^{-1}(\frac{1}{2}) = 30°, then

tan30° = \frac{1}{\sqrt{3} } ← rationalise the denominator

           = \frac{1}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{\sqrt{3} }{3} → C

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Which equation is a true statement about CBD below?
lara31 [8.8K]

Answer:

h^2 = a^2 -x^2

Step-by-step explanation:

a^2 = b^2 + c^2

B^2 = A^2 - C^2

A = hypotinus

8 0
3 years ago
when Thomas looks at a map of hiking trail with the scale factor of 1cm = 50m, he says that the length of the trail on the map s
OlgaM077 [116]

Answer:Thomas is incorrect because there are 100 centimeters in 1 meter. Therefore, there are 5000 centimeters in 50 meters. The length of the map trail would be 1/5000 the length of the actual trail

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3 years ago
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean 210x^6y^4

We can deduce that this term will be located somewhere in the middle. So I will calculate k= 5; k=6 \text{ and } k =7.

For k=5

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just x^{n-k} y^k

For k=6

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0
4 years ago
Betty is canning 104 pears and 126 apples separately.each jar holds 8 pears or 6 apples. How many jars does Betty need?
nadezda [96]
Answer: 34 jars

104 \ 8 = 13
126 / 6 = 21
21+13= 34
5 0
3 years ago
Which measurement is the most precise; 22 yd, 43 ft, 44 in., or 99 mi ?
jarptica [38.1K]
22 yd is the most precise
8 0
3 years ago
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