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taurus [48]
3 years ago
14

Question 1

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

Answer: C

Step-by-step explanation:l

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In the triangle shown we can find the angle θ as follows calculator
Xelga [282]
Given a right triangle with hypothenus of measure 34, the side opposite the angle θ of measure 30, and the side adjacent the angle theta of measure 16.

\sin\theta= \frac{opposite}{hypothenuse} = \frac{30}{34} = \frac{15}{17}  \\  \\ \Rightarrow \theta=\sin^{-1}\left( \frac{15}{17} \right) \\  \\  \\ \cos\theta= \frac{adjacent}{hypothenuse} = \frac{16}{34} = \frac{8}{17}  \\  \\ \Rightarrow \theta=\cos^{-1}\left( \frac{8}{17} \right) \\  \\  \\ \tan\theta= \frac{opposite}{adjacent} = \frac{30}{16} = \frac{15}{8}  \\  \\ \Rightarrow \theta=\cos^{-1}\left( \frac{15}{8} \right)
3 0
3 years ago
Find the least number between 200 and 500 which leaves a remainder of 3 in each case when divided by 8 ,10,12 and 30.
Nookie1986 [14]
Well, that means that it is 3 more than a common multipule of 8,10,12, and 30
find the lcm

8=2*2*2
10=2*5
12=2*2*3
30=2*3*5
lcm=2*2*2*3*5=120
times it by 2 to get it between 200 and 500
240
add 3
243 is da number
5 0
3 years ago
Read 2 more answers
If -1 < x < 0 which of the following has the smallest value?
Katyanochek1 [597]

Answer: (B) x^3

Explanation:

If you compare the graphs of

  • y = x^2
  • y = x^3
  • y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.

6 0
3 years ago
Math graph and solution y=3x2+18x-21
Likurg_2 [28]
We have that

<span>y=3x</span>²<span>+18x-21

using a graph tool
see the attached figure

the solutions are
x=-7
x=1</span>

6 0
3 years ago
Which number produces a rational number when multiplied by 0.5?
xxMikexx [17]

If the number begins by being rational, multiplying by 0.5 will not change whether or not it is rational. It will remain rational.


That would include any even number 12 * 0.5 = 6

12 started out as rational, so the answer is rational (6)


Any odd number is also rational

23 * 0.5 = 11.5

23 and 11.5 are both rational.


3.636363636 ... is rational so when multiplied by 0.5 the result will be rational.

1.818181818....


So if we start with something irrational like pi

then pi * 0.5 is not rational.

If you have choices, please list them.
4 0
3 years ago
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