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3 years ago

Explain why (cos((theta))? + (sin((theta))2 = 1

Mathematics

1 answer:

frez [133]3 years ago

5 0

Imagine a right triangle where a and b are the legs and c is the hypothenuse.

Pitagora: a²+b²=c²

Divide by c

(a/c)²+(b/c)²=1

But a/c=sin(B) and b/c=cos(B)

Thus sin² + cos² = 1

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of the 200 seniors graduating, 50 took an art class while in highschool and 99 were in the band . Only 30 of the students who to

elena-s [515]

Answer:

69 or 71, read below for details.

Step-by-step explanation:

This is unfinished, but I'll answer to my best ability.

200 seniors graduated

99 in band

30 students in art were NOT in band.

I assume the question here is either how many students were in band and art, which would be 69 as 99 - 30 = 69.

If the question is how many students didn't take any electives, the answer is 200 - 99 - 30 = 71.

Message me if you have any questions/clarifications.

8 0

3 years ago

Help ASAP Geometry 20 points

Alja [10]

Answer:

(3, 3 )

Step-by-step explanation:

Under a translation < 8, 0 > then

A(- 5, - 3 ) → (- 5 + 8, - 3 + 0 ) → (3, - 3 )

The line with equation y = 0 is the x- axis

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(3, - 3 ) → (3, 3 )

8 0

3 years ago

A density curve for all the possible temperatures between 0°F and 40°F is a

My name is Ann [436]

Answer:

B. 0.025

Step-by-step explanation:

6 0

3 years ago

Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...

svlad2 [7]

Answer:

The required recursive formula is:

$a_n=(-3)\times a_{n-1}$

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let $a_n$ represents the nth term of the sequence.

This means that:

$a_1=6, a_2=-18, a_3=54, a_4=-162,......$

As the common ratio is -3.

so,

$a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}$

Hence, the required recursive formula for the geometric sequence is:

$a_n=(-3)\times a_{n-1}$

5 0

3 years ago

Mattie Evans drove 180 miles in the same amount of time that it took a turbopropeller plane to travel 630 miles. The speed of th

AysviL [449]

Answer:

the speed of the plane was 210 mph.

Step-by-step explanation:

3 0

2 years ago