Evaluate each expression

Immediately, by definition of cotangent, we find

tan(α) = 1/cot(α) = 1/(-√3)

⇒   tan(α) = -√3

Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.

Recall the Pythagorean identity,

cos²(α) + sin²(α) = 1

Multiplying both sides by 1/sin²(α) recovers another form of the identity,

cot²(α) + 1 = csc²(α)

Solving for csc(α) above yields

csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4

⇒   csc(α) = 2

⇒   sin(α) = 1/2

Solve for cos(α) using the first form of the Pythagorean identity:

cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)

⇒   cos(α) = -√3/2

⇒   sec(α) = -2/√3

Answer:

a

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.shshs

Answer:

Its the first one (top left option)

Step-by-step explanation:

ur in a rush so i wont explain, pls give me brainliest

Answer:

the explanation of wot

Step-by-step explanation:

If you give an explanation of something, you give details about it or describe it so that it can be understood.

Answer:

X = -1 (unsure as to how this is not an answer but I have checked my work)

Step-by-step explanation:

( f(x) = y )

1. y = 2x + 2

  -2         -2

2. -2 = 2x

    /2     /2

3. -1 = x

Answer:

4378

Step-by-step explanation:

Its clearly given that each term is multiplied by 3

I.e- 2×3 = 6

6×3= 18

and so on....

so here the G.P series is a=2 and r=3

To find the 8th term ar^8-1

ar^7 = 2×3^7

= 2×2187

= 4378

Answer:

-32

Step-by-step explanation:

-32x + 4y = 12

4y = 12 + 32x

/4      /4     /4

y = 3 + 8x

Answer:

0.3kg

Step-by-step explanation:

Since the weight of 120 books is 36kg, the weight per book will be:

= 36kg / 120

= 0.3kg

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

https://brainly.com/question/13391706

#SPJ5

Answer:

7/20

Step-by-step explanation:

Answer:

ok so here is answer option no1

1/8 + 1/4 = 3/8

or you could do

18 plus 14 equals 32divided into 8 equals 4

Step-by-step explanation:

if this is wrong I'm very very very really really really sorry.

Answer:

where is the diagram u there is must must graphic of this or diagram

Answer:

15, 6,0, 11, 7

I'm not sure but hope it helps

Step-by-step explanation:

y=8+7

=15

y=-1+7

=6

y=-7+7

=0

y=4+7

=11

y=0+7

=7

Answer:

2x²+2x+8

Step-by-step explanation:

4x²-2x+10-2x²+4x-2

=4x²-2x²-2x+4x+10-2

=2x²+2x+8

Answer:

100%

Step-by-step explanation:

Numbers on a die are 1,2,3,4,5,6 which are all greater than zero, so the probability is 6/6 or 100%.

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

0.5 + ( -1.5 ) = -1

-1 - (-5.5) = 4.5

Hopefully this helped you. :)

The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let L represent the amount Layla owes her friend after t weeks.

Using the point from the graph (0, 140) and (7, 0):

L - 140 = [(0 - 140)/(7 - 0)](t - 0)

L - 140 = -20t

L = -20t + 140

The y intercept is 140

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

61 m²

Step-by-step explanation:

Find the area of the whole rectangle and subtract the part that is cut off

Area =  [tex]11 *8 - 9 *(8-5)[/tex]

        = [tex]88 - 9*3[/tex]

        = [tex]88 - 27[/tex]

        = [tex]61[/tex]

Units = m * m or m²

61 m²

-Chetan K

1−w−w2=64

Step 1: Simplify both sides of the equation.

−w2−w+1=64

Step 2: Subtract 64 from both sides.

−w2−w+1−64=64−64

−w2−w−63=0

For this equation: a=-1, b=-1, c=-63

−1w2+−1w+−63=0

Step 3: Use quadratic formula with a=-1, b=-1, c=-63.

w= −b±√b2−4ac /2a

w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)

w= 1±√−251/ −2

Answer:

8

Step-by-step explanation:

Answer:

I'm pretty sure the answer is B, I hope this helps!

Answer:

14x 2 +9

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

the answer would be 1.2778

Answer:

B(2,1). And C(-2,3)

Step-by-step explanation:

Tbh, you can just plug the numbers into the original equation :2x+3y=5

A.2x2+3x3=13 ≠5

B.2x2+3x1=5=5

C.-2x2+3x3=5=5

D.-2x2+3x0=-4≠5

So the answer is B and C lies on the line

Answer:

x >= -2

-2 < x < 1

Answer: