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4 years ago

Given that cosθ = - and θ is in the second quadrant, find cscθ.

1 answer:

5 0

Since sin²x+cos²x=1, we can plug (-12/13) for cos(x) to get (-12/13)²+sin²x=1
= 144/169+sin²x=1. Subtracting 144/169 from both sides, we get 25/169=sin²x. Square rooting both sides, we get 5/13 as sinx (since √25=5 and √169=13,as well as that it's in quadrant 2 - if it was in quadrant 3 or 4, it would be -5/13). Since cscx=1/sinx, we can plug (5/13) in for sinx to get 13/5 as our answer

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Ronal asked 100 students to choose their favorite subject from among mathematics history and our she found that 22 students kill

Llana [10]

Answer:

I think 52% of students chose art

Step-by-step explanation:

7 0

3 years ago

PLZ HELP

Alex

Answer:

The correct option is C ) 109.5°

Therefore,

$m\angle E=109.5\°$

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

$\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}$

Substituting the values we get

$\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}$

$\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}$

Therefore,

$\angle E=\cos^{-1}(-0.3333)$

$m\angle E=109.5\°$ ............As it is in Second Quadrant

Therefore,

$m\angle E=109.5\°$

4 0

4 years ago

A rectangular field is 240m wide. The width of the field is 3/8 the length. What is the area of the field in square kilometers r

andrey2020 [161]

This means you should do 240*3/8 which is 90. so 90 times 240=21600
the answer is 216000km^2

3 0

4 years ago

Read 2 more answers

Consider the function f(x)=x3+3x2â51x+91. What is the remainder if f(x) is divided by (x+9)? Do not include (x+9) in your answer

makkiz [27]

Answer:

The remainder is 64

Step-by-step explanation:

Consider the function $f(x)=x^3+3x^2-51x+91$

Use synthetic division to divide by x+9

x+9=0, x=-9

divide the given f(x) by -9 using synthetic division

-9 1 3 -51 91

0 -9 54 -27

--------------------------------------------------

1 -6 3 64

The remainder is 64

5 0

3 years ago

Kaylee put an empty cup underneath a leaking faucet. After 1 1/2 hours, Kaylee collected 1/4 cup of water. What is the rate in c

Tju [1.3M]

Answer:

I think it is 6/1

Step-by-step explanation:

You are wrong because 0.167 into a fraction is 167/1000 and that isn't one of the options but when I did it 1 1/2=3/2=1.5 and 1/4=0.25 so I did 1.5 divide by 0.25 and it gave me 6 so that why I think that my answer is correct and yours is not.

4 0

4 years ago