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lesya692 [45]
2 years ago
10

Which number is rational

Mathematics
1 answer:
Art [367]2 years ago
7 0

Answer:

C. C is the only one that is rational out of all of them. The rest are irrational

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Is square root 1 minus sine squared theta = cos Θ true? If so, in which quadrants does angle Θ terminate?
Cloud [144]

Answer:

True; quadrants I & IV

Step-by-step explanation:

We know the relation between sine and cosine function which is given by

\sin^2 \theta +\cos^2 \theta = 1

Let us solve this equation for cosine function.

\cos^2 \theta = 1-\sin^2 \theta

Take square root both sides. When ever we take square root we need to write the solution in plus minus form

\sqrt{\cos^2 \theta}=\pm\sqrt{1-\sin^2 \theta}

\cos \theta=\pm\sqrt{1-\sin^2 \theta}

\cos \theta=-\sqrt{1-\sin^2 \theta}, \sqrt{1-\sin^2 \theta}

If Θ is in quadrants I and IV then the value will be positive and if Θ is in II and III quadrant then the value is negative.

Hence, if Θ is in quadrants I & IV, then we have

\cos \theta=\sqrt{1-\sin^2 \theta}

Thus, the correct option is: True; quadrants I & IV


6 0
3 years ago
Read 2 more answers
The diagonal of a rectangular big screen tv screen measures 152cm. The length measures 132cm. What is the height of the screen?
Firdavs [7]
Hi!
We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;
height = \sqrt{5680}  = 75.36cm;
8 0
3 years ago
The volume of the Atlantic Ocean is about 3.1⋅10173.1 \cdot 10^{17}3.1⋅10173, point, 1, dot, 10, start superscript, 17, end supe
Serga [27]

Answer: The annual flow of the Mississippi river would fit in the Atlantic ocean 4.92\times10^5 times.

Step-by-step explanation:

Given: Volume of Atlantic Ocean= 3.1\times10^{17} cubic meters

Annual flow of Mississippi river = 6.3\times10^{11} cubic meters.

then, the number of times the annual flow of the Mississippi river would fit in the Atlantic ocean = \dfrac{\text{ Volume of Atlantic Ocean}}{\text{Annual flow of Mississippi river}}

=\dfrac{3.1\times10^{17}}{6.3\times10^{11}}\ \ \=0.492063492063\times10^{17-11}\ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=0.492063492063\times10^6\approx4.92\times10^5

Hence,  the annual flow of the Mississippi river would fit in the Atlantic ocean 4.92\times10^5 times.

3 0
3 years ago
Find the equation of a line with an x-intercept (2,0) and a y-intercept
cricket20 [7]
Since that is only one set of numbers, you would have to start on the origin, then move right on the x-axis twice because the first number is 2, and stay there for the other half of the equation since the other number is 0.
3 0
3 years ago
2
Irina18 [472]
63 and 3 hope it’s right
8 0
2 years ago
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