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kati45 [8]
4 years ago
11

If cos θ = -2/5 and tan θ > 0, what is the value of sin θ? PLEASE HELP!!!

Mathematics
1 answer:
goblinko [34]4 years ago
7 0
If cosФ<0 and tg Ф>0; then we are in the third quadrant, then sin Ф<0

Fundamental realtion of trygonometry:

sin²Ф+cos²Ф=1

Then:
sin Ф=⁺₋√(1-cos₂Ф):
Because we are in the third quadrant; sin Ф=-√(1-cos²Ф)

Sin Ф=-√(1-(-2/5)²)=-√(1- 4/25)=-√(21/25)=-√21 / 5

Answer: sin Ф=-√21 / 5

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Math question down below
sergiy2304 [10]
I think the answer is 17.5 years

6 0
3 years ago
On Thursday, a local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. The number of cheeseburgers sold
yuradex [85]

Answer:

252 Cheese Bugers were sold on Thursday

Step-by-step explanation:

378 divided by 3=126

126+126= number of hamburgers

126= number of chese bugers

126+126=252

3 0
3 years ago
World population is approximately upper p equals 6.4 left-parenthesis 1.0126 right-parenthesis superscript t, with upper p in bi
Leviafan [203]

Given equation is

P=6.4(1.0126)^t

It gives approx world population in billions for t years since 2004.


Answer(a):

Compare with growth formula P=a(b)^t, we get:

growth factor b = 1.0126

We know that if r is the percent rate of growth then

1+r=b

1+r=1.0126

r=0.0126

Hence the yearly percent rate of growth of the world population is 0.0126 or 1.26%.


Answer(b):

To find worlds population in 2004, plug t=0 because year is counted from 2004.

P=6.4(1.0126)^0 = 6.4*1 = 6.40

Hence answer is 6.40 billion.


To find worlds population in 2018, plug t=2018-2004=14 because year is counted from 2004.

P=6.4(1.0126)^{14} = 6.4*1.19160117479 = 7.62624751867

Hence answer is approx 7.63 billion.


Answer(c):

Average rate of change of the world population between 2004 and 2018 is given by:

\frac{P\left(Year_{2018}\right)-P\left(year_{2004}\right)}{2018-2004}

=\frac{P\left(14\right)-P\left(0\right)}{14-0}

=\frac{7.63-6.40}{14}

=0.0878571428571

Hence answer is approx 0.0878571428571 billion per year.

To convert it into millions, multiply by 1000

So we get 0.0878571428571*1000 = 87.8571428571

Which is approx 88 to the nearest integer

Hence final answer is approx 88 millions per year.

7 0
4 years ago
Please help me with question 3 guys
777dan777 [17]
Equiangular. They are all 90 degrees but they don’t have the same length of sides so they are equiangular meaning equal angles.
8 0
3 years ago
What is the twelfth term in the sequence 3, -6, 12,...?
soldi70 [24.7K]

Answer:

-24

Step-by-step explanation:

The geometric sequence as seen and given is multiplied by -2. If we continue and follow the sequence, then 3 times -2 equals -6 times -2 equals 12 times -2 equals -24. So, -24 would be the correct answer.

PLZ MARK BRAINLIEST!!!

3 0
3 years ago
Read 2 more answers
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