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Gnesinka [82]
3 years ago
8

Please help me with question 1.

Mathematics
2 answers:
muminat3 years ago
4 0

Answer:

C =66

Step-by-step explanation:

Amiraneli [1.4K]3 years ago
4 0
Opposite angles in a cyclic quadrilateral sum up to 180

m114° + mmm
Answer : 66°
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√x<4 A.20 B.12 C.2 D.-1 E.5. F. No solution
evablogger [386]
We know that for √x to be meaningful, we must have x ≥ 0.

If we square both sides of the inequality, we have
  x < 4²
  x < 16

Thus the whole solution is
  0 ≤ x < 16

The following choices are valid solutions to the inequality:
  B. 12
  C. 2
  E. 5
5 0
3 years ago
How do you solve tan^2(30)??
Firlakuza [10]
Square root of three or 1.7320
5 0
3 years ago
Would appreciate the help ! ​
aleksandr82 [10.1K]

This is one pathway to prove the identity.

Part 1

\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 2

\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 3

\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity \sin^2(\theta)+\cos^2(\theta) = 1 in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

3 0
3 years ago
Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales. She worked 71 hours over the
inysia [295]

Answer:

C. $994

Step-by-step explanation:

She earns $9 per hours plus 15% commission.

She works 71 hours, total hourly earnings = 9 × 71

= $639

15% commission on $2364 is

= 15/100 × 2364

= $354.6

= $355 ( nearest whole number)

Total hourly earnings with commission

= $639 + $355

= $994

8 0
3 years ago
How much compound interest will an account of $10,000 bear after 5 years at 3% APR, compounded annually? (Hint: Use the formula
Ivan
You would first put it into the compounded formula. So it would be 10,000(1+.03/1)^1×5=$11,592.74
5 0
3 years ago
Read 2 more answers
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