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3 years ago

What is the period of the graph of y=2 cos (pie/3 x ) +3 A.2 B.3/pie C.6 D.pie/3

Mathematics

1 answer:

Tatiana [17]3 years ago

6 0

Equate what is inside cosine with $2\pi$ , base period and solve for x,

$2\pi=\frac{\pi}{3}x$

$6\pi=\pi x$

$\boxed{x=6}$

Hope this helps :)

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Find the length of a diagonal of a square with sides 10in. long

Ghella [55]

Hey!!!
Answer is....
diagonals of square bisect each other at right angles.
let diagonal be 2x
Using Pythagoras in a triangle enclosed by a side and 2 half diagonals...
${x}^{2} + {x}^{2} = {10}^{2}$
$2 {x}^{2} = 100$
${x }^{2} = 50$
$x = \sqrt{50}$
side of a diagonal=2 sqrt50
$= 10 \sqrt{2}$
cm......

HOPE IT HELPS YOU '_'

3 0

3 years ago

Read 2 more answers

1. algebraic expression

mixer [17]

Answer:

1. algebraic expression: a mathematical expression containing one or more variables

2. coefficient: the constant preceding the variables in a product

3. constant: a numerical value

4. expression: a mathematical phrase that cannot be determined true or false

5. variable: a letter or symbol used to represent an unknown

Step-by-step explanation:

3 0

3 years ago

Find the value of x. Then find the missing angle measures of the polygon.

Naily [24]

The sum of the angles equals 540

There are 3 angles that measure (x - 30) and 2 angles that measure (x)

3(x - 30) + 2(x) = 540

3x - 90 + 2x = 540

5x - 90 = 540

5x = 630

x = 126

x - 30 = 126 - 30 = 96

Answer: x = 126, x-30 = 96

8 0

3 years ago

Six distinct integers are picked from the set {1, 2, 3,…, 10}. How many selections are there, in which the second smallest integ

Ksivusya [100]

Answer:

1680 ways

Step-by-step explanation:

Total number of integers = 10

Number of integers to be selected = 6

Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.

2 ways 1 way

Each of the line represent the digit in the integer.

After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840

Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways

Therefore, there are 1680 ways to pick six distinct integers.

6 0

4 years ago

Find Missing Angle

Neporo4naja [7]

Answer:

75 degrees

Step-by-step explanation:

Use trigonometry

we are given opposite(27) and hypotenuse(28), so use sin

sin=opp/hyp

sin(x)=27/28

x=arcsin(27/28)

x=74.64111442

6 0

3 years ago