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Citrus2011 [14]

2 years ago

13

Send help, inverse trigonometric functions

1 answer:

Feliz [49]2 years ago

4 0

We know soh cah toa so all we need to do is answer as we normally do but with all little change

Going from b we know 150 is are opposite and 105.03 is adjacent so this would be tangent opposite/adjacent

150/105.03 = 1.428

Change is here now do inverse tangent to 1.428= 54.99 is the angle of b

Remember all were doing is finding the trig function like normal (dividing) then we just put that number in with the inverse trig function

To find angle c all we need to do is add 90+54.99 and subtracted that from 180 which means c is 35.01.

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3 people can deliver 1000 letters in 30 minutes.

Studentka2010 [4]

Answer: It would take 1 hour and 30 minutes for one people do it.

If 5 people do it would take less time. If there are 5 people delivering the letters it would take them 12 minutes ti deliver all 1,000 letters.

6 0

2 years ago

A square has the perimter of 36 cm what is the area

bazaltina [42]

Answer:

81 cm^2

Step-by-step explanation:

Side = perimeter / 4 = 36/4 = 9 cm

area = side^2 = 9^2 = 81 cm^2

8 0

2 years ago

Read 2 more answers

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

Sasha buys two ribbons of equal length. She cuts 9 pieces of the same length, L, from the first ribbon and finds that 5 inches a

nikitadnepr [17]

Answer:

50 inches.

Step-by-step explanation:

Let the length of the each ribbon was x.

Now, she cuts 9 pieces of same length L which means total length is 9L.

Now, doing the same she was left with 5 inches of ribbon. Hence, we have

[tex[9L+5=x.....(1)[/tex]

Similarly, we can write a equation for the second situation.

$2L+40=x......(2)$

From equation 1 and 2,

$9L+5=2L+40\\\\7L=35\\\\L=5$

Plugging this value in equation 1,

$9(5)+5=x\\\\x=45+5\\x=50$

Therefore, the length of each ribbon when she bought them was 50 inches.

3 0

3 years ago

a recycling plant processes an averge of 1/3 ton of glass each minute. At approximately what rate does the recycling plant proce

ICE Princess25 [194]

Every 3 minutes they make one ton.
there are 1440 a da24H) s0 1440/3= 480

So they make about 480 tons per 24 hours

7 0

2 years ago

Read 2 more answers