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vlada-n [284]
3 years ago
15

Please help me,please and thank you :)

Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

Answer: 4

36.87 degrees

Step-by-step explanation:

The figure shown is a right angled triangle. It has three sides, one of which is the longest. The longest side is called the hypotenuse. Either of the shorter sides is called the opposite and the adjacent side(always the side carrying both the 90 degrees angle and the given angle).

Since the triangle is a right angled triangle,

We can apply Pythagoras theorem to get the opposite side.

Hypothenuse ^2 = opposite ^2 + adjacent ^2

5^2 = 4 ^2 + opposite ^2

opposite = √ 25 - 16

opposite = √9 = 3

Let the angle be # degrees,

Cos # = adjacent / hypothenuse

= 4/5 = 0.8

# = cos^-1 (0.8) = 36.87 degrees

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James Fenimore Cooper used his words to connect Fine Arts and the Changes in American culture by writing about America's Westward expansion and the Indians in this first western novel.

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Hence the correct answer is A.

Learn more about James Fenimore Cooper at:

brainly.com/question/3886133

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10. Using the following arithmetic sequence, find the 29th term: –36, –32, –28, –24.
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<span>–36, –32, –28, –24  This is an arithmetic sequence because each term has the same difference from the preceding term, called the common difference, d...

-32--36=-28--32=-24--28=4  So 4 is d, the common difference.

The sequence of any arithmetic sequence has the form:

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a(n)=-36+4(n-1)  

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...

distance=velocity * time

d=vt  we want to find t so

t=d/v  and in this case:

t=234/70

t=(210+24)/70

t=3hr+(60*24)/70

t=3hr+20min+34sec so 

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...

This is an arithmetic sequence...100,150,200...

The sum of an arithmetic sequence will always be the average of the first and last terms times the number of terms....

the rule for the sequence is:

a(n)=a+d(n-1),  a(n)=100+50d-50, a(n)=50n+50

Now we know the nth term is 50n+50, and we also know the first term is 100 so:

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s(10)=10(100+500+50)/2

s(10)=$3250

...

The first two terms are 2 and 4 so:

a(n)=2+2(n-1)

a(n)=2+2n-2

a(n)=2n

a(10)=20

...

You could do synthetic or long division, but you also could just use the fact that the factor being (x+8) should indicate a zero for the function when x=-8.  If f(x) could be divided by (x+8) the value of y(-8) would equal zero, however calculating y(-8)=-10  so that would be the remainder if you did the division.</span>
8 0
3 years ago
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