3 years ago

HELP!!THANKS FOR ACCURACY

1 answer:

5 0

$\bf tan^2(x)-1=0\implies tan^2(x)=1\implies tan(x)=\pm\sqrt{1} \\\\\\ tan^{-1}[tan(x)]=tan^{-1}(\pm 1)\implies x=tan^{-1}(\pm 1)\implies x= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4}\\\\ \frac{5\pi }{4}\\\\ \frac{7\pi }{4} \end{cases}$

You might be interested in

Based only on the information given in the diagram, which congruence

Crank

Answer:

A, B, C

Step-by-step explanation:

You are given one side congruent to its corresponding side, so eliminating postulates that require 2 sides: HL, SAS.

You are given all three angles congruent and one side (the hypotenuse), so any of these can be used:

AAS, HA, ASA

3 0

3 years ago

Read 2 more answers

Given f(x) = 21x + 12, find f(5)

Lisa [10]

Answer:

117

Step-by-step explanation:

f(x) = 21x + 12

f(5) = 21(5) + 12

f(5) = 105 + 12

f(5) = 117

7 0

3 years ago

The ratio of the number of Mays necklaces to the number of Helen's necklace is 25:9. May has 100 necklaces. How many necklaces d

likoan [24]

Answer:

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

6 0

3 years ago

Iodine-125 has a half-life of about 60 days.

Murljashka [212]

62.5 mg sample will remain after 240 days

Step-by-step explanation:

Given

Half-life = T = 60 days

The formula for calculating the quantity after n half lives is given by:

$N = N_0(\frac{1}{2})^n$

Here

N is the final amount

N_0 is the initial amount

n is the number of half lives passed

The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

$n = \frac{240}{60}\\n = 4$

Given

$N_0 = 1000\ mg$

Putting the values in the formula

$N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg$

Hence,

62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

#LearnwithBrainly

3 0

3 years ago

In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co

Vera_Pavlovna [14]

B. 0.75 is the answer for this equation

7 0

3 years ago