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Kryger [21]
3 years ago
11

Heyyyyyyyyy PLEASE HELP AND BE CORRECT BEFORE ANSWERING

Mathematics
1 answer:
Olin [163]3 years ago
3 0
Send questions so I can help you
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I don't need you to work it out, just theorem(s) i need to reach the answer :)
VikaD [51]
Not sure why such an old question is showing up on my feed...

Anyway, let x=\tan^{-1}\dfrac43 and y=\sin^{-1}\dfrac35. Then we want to find the exact value of \cos(x-y).

Use the angle difference identity:

\cos(x-y)=\cos x\cos y+\sin x\sin y

and right away we find \sin y=\dfrac35. By the Pythagorean theorem, we also find \cos y=\dfrac45. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if \tan x=\dfrac43, then (by Pythagorean theorem) \sec x=\dfrac53, so \cos x=\dfrac35. And from this, \sin x=\dfrac45.

So,

\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}
7 0
3 years ago
What is the area occupied by the castle below Quadir built from wooden blocks?
Firlakuza [10]

Answer:

4x6x12x5x4x4x5=

115200

6 0
3 years ago
If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?
VMariaS [17]

Answer:

the value of x that gives the greatest difference is 10.

Step-by-step explanation:

Given;

x² and x³

values of x = 6, 8 and 10

When x = 6

6³ - 6² = 216 - 36 = 180

When x = 8

8³ - 8² = 512 - 64 = 448

When x = 10

10³ - 10² = 1000 - 100 = 900

Therefore, the value of x that gives the greatest difference is 10.

5 0
3 years ago
two chefs are trying to break world record for the longest spaghetti. chef a measures his spaghetti strand to be 503 2/3 ft chef
zhuklara [117]
Lenght spaghetti chef a:
503 2/3ft= (503*3+2)/3=1511/3 =503,(6)
lenght spaghetti chef b:
503,66

Because 503,(6)>503,66
=> lenght spaghetti chef a > lenght spaghetti chef b
So, the winner must be chef a, but, if 503.66 rounds to 503.7, also 503(6) rounds to 503.7, and in this case
lenght spaghetti chef a= lenght spaghetti chef b
So, <span>chef a should protest the judges' decision, because his </span>lenght spaghetti is ≥ lenght spaghetti chef b.





4 0
2 years ago
Read 2 more answers
What is the median of the following distribution 24 26 26 29 29 31 33 35 37 38 40 42 43 46 48 55 56
kvv77 [185]

37  is the median of the set of data

Hope this helps :)



7 0
3 years ago
Read 2 more answers
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