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Misha Larkins [42]
3 years ago
13

If tan 0 = -5, find the cot 0

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

Step-by-step explanation:

cot(theta) = 1 / tan(theta)

cot(theta) = 1 / -5

cot(theta) = - 0.2

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In the regular pentagon below, if AP = 4 m and BC = 10 m, find it's area.
12345 [234]

First symmetrically cut the pentagon to get 5 pieces. (So that you will get the idea that this polygon is divided into 5 triangles)

Then find the area of one of the triangles:

Area of Triangle = \frac{1}{2} bh

A = \frac{1}{2} × 4 × 10

A = 20 m²

To find the area of the whole pentagon shape:

A = 20 × 5 = 100 m²

<em>Hope it helps!</em>

4 0
2 years ago
ANHL player's labor negotiating committee is to be selected from 8 player representatives from the Eastern Conference and 7 play
cestrela7 [59]

Answer:

21 / 143

Step-by-step explanation:

Given that:

Number of Eastern conference reps = 8

Number of western conference rep = 7

Probability of selecting 3 from Eastern reps and 2 from western reps

Probability = required outcome / Total possible outcomes

Total possible outcomes:

selection to be made = 3+ 2 = 5

Total Number of players = 8 +7 = 15

Total possible outcomes

Using combination formula :

nCr = n! / (n-r)!r!

15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003

Total possible outcomes = 3003

Required outcome :

8C3 * 7C2

8C3 = 56 ; 7C2 = 21

8C3 * 7C2 = 56 * 21 = 1176

required outcome / Total possible outcomes

= 1176 / 3003

= 21 / 143

6 0
3 years ago
The correct slope of the line that passes through the points (1,-3) and (3,-5)
ehidna [41]
(1,-3)(3,-5)
slope = (-5 - (-3) / (3 - 1) = (-5 + 3) / 2 = -2/2 = -1 <==
7 0
3 years ago
Read 2 more answers
The wavelength​ w, in meters per​ cycle, of a musical note is given by w=r/f, where r is the speed of the sound in meters per se
Serjik [45]
B. Plug in the numbers and use common sense.
6 0
3 years ago
What is the average rate of change of the function f(x)=480(0.3)x from x = 1 to x = 5?
m_a_m_a [10]

aerage rate of change is just the slope from the endpoints of teh interval


ie averagerateofchange=slope=\frac{f(5)-f(1)}{5-1}

assuming you mean f(x)=480(0.3)^x

evalaute f(5) and f(1)

f(5)=480(0.3)^5=1.1664

f(1)=480(0.3)^1=144


average rate of change=(1.1664-144)/(5-1)=-35.7084


the average rate of change of the function on the interval x=1 to x=5 is -35.7084

8 0
3 years ago
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