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Hatshy [7]
2 years ago
11

Which pair of angles has congruent values for the sin x° and the cos y°?

Mathematics
2 answers:
Radda [10]2 years ago
7 0
For values to have congruent sin and cos value, it means that sin x=cos y
thus from the given values, the values that sin x is congruent to cos y will be found as follows;
70
sin 70=0.9397
getting the cosine for y values we get:
cos 160=-0.9397
cos 70=0.3420
cos 120=-0.5
cos 20=0.9397
from the above we see that the cosine value congruent to sin 70 is cos 20
Mashutka [201]2 years ago
4 0

Answer:

70; 20

Step-by-step explanation:

By the definition of a triangle, all angles must sum to 180 degrees.

We already know that the right triangle automatically has an angle of 90 degrees, so the last two angle must be complemetary and will always total 90 degrees as well.

So, by the process of elimination we can gather that the angles must be 70 and 20.

To prove our answer is correct, we can add the angles together: 70 + 20 + 90 = 180. Yep, it works!

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Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such
Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> <u>0.6-0.45)</u>

                                              √0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(<u>P-P</u>   >     <u>0.6-0.45)</u>

                             σ          √0.45*0.55/600

=P(Z> <u>0.6-0.45)</u>

       √0.45*0.55/600

8 0
2 years ago
Each month, Kaisorn deposits $50.00 onto her public transportation card. It costs her $2.50 per trip to ride the subway. Thom de
ratelena [41]

Answer:

\left \{ {{50-2.5x = y} \atop {40-2x=y}} \right.

7 0
1 year ago
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The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. This
nika2105 [10]

Answer:

Step-by-step explanation:

a)/Let x represent the amount of money earned by the World Issues club for all their fundraising activities this year.

Let y represent the revenue generated for the foundation.

b) The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. Therefore, an equation that will determine the amount of money the foundation will receive is

60/100 × x = y

0.6x = y

5 0
2 years ago
Five times the sum of e and 4 is equal to -7.
andre [41]
5+ 4e = -7 is the correct answer.
5 0
2 years ago
3x+8+2ax≥3ax−4a what is x?
Nataliya [291]
X≥
-  \frac {4 (2 + a)}{3 - a}
solve the inequality by finding the roots and creating test intervals.
7 0
2 years ago
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