Glenn spends 105 minutes exercising every day. He spends 3 fifths of the time running. How much time dose Glenn spend running?

Anna [14]

The answer is 84 because of process priority

6 0

3 years ago

Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box.

stealth61 [152]

Answer:

The coordinates of ABCD after the reflection across the x-axis would become:

A'(2, -3)

B'(5, -5)

C'(7, -3)

D'(5, -2)

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

x-coordinate of the point does not change, but

y-coordinate of the point changes its sign

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y) → P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y) → P'(x, -y)

A(2, 3) → A'(2, -3)

B(5, 5) → B'(5, -5)

C(7, 3) → C'(7, -3)

D(5, 2) → D'(5, -2)

Therefore, the coordinates of ABCD after the reflection across the x-axis would become:

A'(2, -3)

B'(5, -5)

C'(7, -3)

D'(5, -2)

8 0

3 years ago

HELP ASAP !!! <br> Which of the following are identities? Check all that apply.

anastassius [24]

Answer:

A,CAND D

Step-by-step explanation:

ADD ME AS BRAINLIEST

6 0

3 years ago

Read 2 more answers

PLEASE HELP! WILL MARK BRAINLIEST!

makkiz [27]

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

$X(t)=(x,y)$

In which $X(t)$ are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

$''x''$ and $''y''$ are functions that depend from the variable ''t''.

For this exercise :

$X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30]$

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function $X(t)$ .

The function to study is $y(t)=-25cos(\frac{\pi}{30}t)+30$

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ $y(t)=-25cos(\frac{\pi}{30}t)+30$ ⇒

$y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)$

Now we equalize $y'(t)$ to 0 ⇒

$y'(t)=0$ ⇒ $\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0$

In this case it is easier to look for the values of ''t'' that verify :

$sin(\frac{\pi}{30}t)=0$

Now we need to find the values of ''t''. We know that :

$sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0$

Therefore we can write the following equivalent equations :

$\frac{\pi}{30}t=0$ (I)

$\frac{\pi}{30}t=\pi$ (II)

$\frac{\pi}{30}t=-\pi$ (III)

From (I) we obtain $t_{1}=0$

From (II) we obtain $t_{2}=30$

And finally from (III) we obtain $t_{3}=-30$

We found the three critical points of $y(t)$ . To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of $y(t)$ :