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3 years ago

Identify a pair of Alternate Exterior Angles

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Answer:

Angles 6 and 3. Hopefully this helps.

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A rectangle has sides of length 2 millimeters and 8.1 millimeters. What is the perimeter?

liraira [26]

Answer:

20.2 mm.

Step-by-step explanation:

2*2 + 2*8.1

= 4 + 16.2

= 20.2 mm.

5 0

3 years ago

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

I need help and I SUCK at mathematics can yall help me I'm in 5th grade

nalin [4]

Answer:

Step-by-step explanation:

1 1/4 = 1.25

1 4/5 = 1.8

1.8+1.25=3.05=3 1/20

6 0

3 years ago

Read 2 more answers

Find the distance between (5,10) and (8,10)

statuscvo [17]

Answer:

Step-by-step explanation:

d=√8-5 = √9 = 3

4 0

3 years ago

STAN walk 10 km to the grocery store. He stops then walks 10 km east back to his house. What distance does he cover? what was hi

Bogdan [553]

STAN walk 10 km to the grocery store.

He stops then walks 10 km east back to his house.

Let us draw this situation to better understand the problem.

As you can see, Stan first walked to the grocery store and covered a distance of 10 km then he came back to the house from the grocery store and covered a distance of 10 km.

So the total distance is 10 + 10 = 20 km

On the other hand, notice that Stan is exactly at the point where he first started that is his house, therefore, the displacement is 0 in this case.

Recall that the displacement is a vector quantity so the direction of travel also matters.

From house to grocery store = 10 km

From the grocery store to house = -10 km

Overall displacement = 10 km - 10 km = 0 km

Therefore,

Distance = 20 km

Displacement = 0 km

3 0

1 year ago