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3 years ago

Please help me !!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Grace [21]3 years ago

5 0

Answer:

5) arccos A = 28°

6) arcsin A = 53°

Step-by-step explanation:

5) cos A = 30/34

6) sin A = 32/40

tangare [24]3 years ago

5 0

For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).

In this case,

cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17

For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.

In this case,

sin(A) = opposite / hypotenuse = 32 / 40 = 4/5

A way to remember sine, cosine, and tangent is SOHCAHTOA, where

SOH is Sine = Opposite / Hypotenuse

CAH is Cosine = Adjacent / Hypotenuse

TOA is Tangent = Opposite / Adjacent

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If an image is to be reflected in the line y = x and the x-axis, does the order of the reflections affect the final image? Expla

OverLord2011 [107]

Answer:

Affects

Step-by-step explanation:

Consider point (2,-1).

1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).

2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).

Since images in 1st case and 2nd case differ, the order affects the final image.

4 0

3 years ago

Solve the system of equations using the substitution method.

Firdavs [7]

y = -1 + 3/8x

2x - 5y = 6

Substitute the first equation into the second equation, since y is already by itself.

2x - 5(-1 + 3/8x) = 6

2x + 5 - 15/8x = 6

2x - 15/8x = 1

16/8x - 15/8x = 1

1/8x = 1 Multiply 8 on both sides to get x by itself

x = 8

Plug x into either of the equations.

y = -1 + 3/8(8)

y = -1 + 3

y = 2

2(8) - 5y = 6

16 - 5y = 6

-5y = -10

y = 2

(8,2)

8 0

3 years ago

Write an expression in expanded form that is equivalent to 3(7d + 4e)

Vladimir79 [104]

21d+12e
answer mine pleadw

8 0

3 years ago

Read 2 more answers

The sum of two factors of 48 is nineteen. the larger factor, x, is one more than five times the smaller factor, y. which system

Ymorist [56]

Umm b. X = 19 + y I think because it has a add

5 0

3 years ago

Read 2 more answers

I got the first two can you help me with the last one PLZ

Nat2105 [25]

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Step-by-step explanation:

Given sequence is:

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

Here

$a_1 =6\\a_2 = 18\\a_3 = 54$

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

$r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3$

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

$a_n = a_{n-1} * r$

In case of given sequence,

$a_n = a_{n-1} * 3$

So to find the 5th term

$a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486$

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

$a_n = a_1 * r^{n-1}$

Putting the values of a_1 and r

$a_n = 6 * (3)^{n-1}$

Hence,

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#LearnwithBrainly

4 0

3 years ago