Answer:
37
Step-by-step explanation:
4 x 9 = 36
36+1 = 37
Answer: cotθ
<u>Step-by-step explanation:</u>
tanθ * cos²θ * csc²θ
= 
= 
= cotθ
Answer: B
<u>Step-by-step explanation:</u>
The parent graph is y = x²
The new graph y = -x² + 3 should have the following:
- reflection over the x-axis
- vertical shift up 3 units
Answers:
- a. Quadrant II
- b. negative
- c.

- d. C
- e.

<u>Explanation:</u>

a) Quadrant 2 is: 
b) In Quadrant 2, cos is negative and sin is positive, so tan is negative
c)
= 
d) the reference line is above the x-axis so it is negative --> 
e) 
<span>The probability that a house in an urban area will develop a leak is 55%. if 20 houses are randomly selected, what is the probability that none of the houses will develop a leak? round to the nearest thousandth.
Use binomial distribution, since probability of developing a leak, p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000
</span>
Answer:

Step-by-step explanation:
To evaluate
from the following expression:

Taking 


∴ 
Answer:
Step-by-step explanation:
<h3>What are the definitions?</h3>
- Obtuse triangle - the triangle with angle greater than 90°;
- Acute triangle - the triangle with all interior angles under 90°;
- Isosceles triangle - the triangle with a pair of equal sides;
- Scalene triangle - the triangle with all three sides (or angles) of different measure.
<h3>What we have?</h3>
- All sides are different and all angles are under 90°.
<h3>Which option is correct?</h3>