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3 years ago

Hi I need help lol

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer: 105 degrees

Step-by-step explanation:

so, since it is a parallelogram, adjacent angles are equal. so, we know that angle S and angle U are equal. that means we can subtract 150 from the 360 degrees of the full parallelogram. so, that leaves 210 degrees to work with. since it is shared amongst the other two equal angles, we just divide it by 2. so, that's how we get the answer.

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

Is 200 a term in the sequence 4, 10, 16, 22,

Rus_ich [418]

Answer:

Step-by-step explanation:

8 0

2 years ago

If each side of a cube is 4cm find its volume

Brrunno [24]

Answer:

volume is the cube of one side. so 4x4x4

4 0

3 years ago

If 20 is added to one-third of a number, the result is the double of the number. What is the number?

Thepotemich [5.8K]

1/3 of an unknown number is 1/3x. The word "of" lets us know to multiply. So if we add 20 to that, and it is equal to double x (that is 2x), the equation looks like this:

1. Start by multiplying everything by 3 to get rid of the fraction and get 20 + 1/3x = 2x.
2. Now subtract an x from both sides and get 60 = 5x and x = 12.
So the answer is 12

3 0

3 years ago

Read 2 more answers

What is the equation of the line perpendicular to 2x - 3y = 13 that passes through the point (-6, 5)?

Arte-miy333 [17]

Answer: 2y + 3x = -8.

Step-by-step explanation:

Given our first equation 2x-3y =13, we rewrite in the form of equation of a line, i.e y = mx + c

Where m is the slope of the line and c is the intersection on y axis.

By rewriting, we have...

3y= 2x-13

y= 2x/3 - 13/3.

m= 2/3, c= -13/3.

For two perpendicular lines, the product of their gradients is -1

i.e

m¹ * m² = -1

Hence m² = -1 * 3/2

m² = -3/2.

Hence, to get the equation of the line passing through the point (-6,5) we first find the intersection when x=0 given as

[Y-c]/[x-0] = -3/2

2y - 2c = -3x

2(5) - 2c =- 3(-6)

10-18= 2c

C = -8/2

C= -4

Then the equation is given as

y = mx + c

y = [-3/2]x - 4

2y= -3x - 8

2y + 3x = -8.

3 0

3 years ago

Hi I need help lol ​

Hi I need help lol