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horsena [70]
3 years ago
11

....????? plzz helllpppp

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

\cos 60= \frac{1}{2}

\tan 60 = \sqrt{3}

Step-by-step explanation:

See the diagram given with the question first.

Here we are given a right triangle with two angles other than the right angle are 60° and 30°.

The length of the side opposite to 30° is 4 and the side opposite to 60° is 4√3 and automatically the length of the hypotenuse is 8.

Now, \cos 60= \frac{Base}{Hypotenuse} = \frac{4}{8} = \frac{1}{2}

Again. \tan 60 = \frac{Perpendicular}{Base} =\frac{4\sqrt{3} }{4} =\sqrt{3}  

(Answer)

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Effective Rate find the effective rate of interest corresponding to a nominal rate of 7.5% per year compounded.
Jlenok [28]

Answer:

(A) 7.5 %

(B) 3.75 %

(C) 2.5%

(D) 0.625 %

Step-by-step explanation:

We have given effective rate of interest r = 7.5%

(a) Annual rate of interest will be equal to 7.5 %

(B) As we know that 1 year = 12 months

And interest is compounded semiannually

1 semiannual = 6 months

So semiannual rate of interest will be equal to \frac{7.5}{2}=3.75 %

(c) 1 quarter = 4 month

So number of period in an year = 3

So rate of interest quarterly =\frac{7.5}{3}=2.5 %

(D) Amount when amount is compounded monthly '

So number of period in an year = 12

So rate of interest =\frac{7.5}{12}=0.625 %  

3 0
3 years ago
How to estimate 586-321 two different ways
zvonat [6]
You can either do it to the nearest ten or the nearest hundred 

(nearest ten) 590 - 320  =  270

(nearest hundred) 600 - 300 = 300 
6 0
3 years ago
Which is bigger 1/6 or 3/11?
NemiM [27]
Multiply both 1/6=11/66, 3/11=9/66. 1/6 is bigger.
8 0
4 years ago
Read 2 more answers
x+4y=17 and -x-6y=-23 what's the x and y I really badly need this I need this so I can play at my basketball game tommorw and I
loris [4]

<u>Answer:</u>

  • x = 5
  • y = 3

<u>Solution:</u>

  • => x + 4y = 17

            -x - 6y = -23

  • => -2y = -6
  • => y = 3

<u>Now, let's substitute the value of y into the first equation.</u>

  • x + 4y = 17
  • => x + 4(3) = 17
  • => x + 12 = 17
  • => x = 5

<u>Let's check our answer to make sure it is correct.</u>

<u>Check:</u>

  • -x - 6y = -23
  • => -(5) - 6(3) = -23
  • => -5 - 18 = -23
  • => -23 = -23

Hence, this is proven correct.

Hoped this helped.

BrainiacUser1357

7 0
3 years ago
A circle and a square can intersect in a)two triangles b) four acrs c) one line d) eight points
o-na [289]

Answer:

d

Step-by-step explanation:

5 0
4 years ago
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