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3 years ago

What is 5.37 as a mixed number.

1 answer:

7 0

Answer: 5.37 as a mixed number is 5 37/100

To write a decimal number as a mixed number, you must separate the whole part of the decimal part:
5.37 = 5 + 0.37 = 5 0.37
And express the decimal part as a fraction:
0.37=37/100
Then:
Answer: 5.37 as a mixed number is 5 37/100

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Jacob drove 8 miles east and then 15 miles north. how far is he from his starting point

Ilya [14]

Answer:

he is 23 miles northeast from this starting spot

Step-by-step explanation:

ok so you start with the directions and notice they are different but this equation worked in our favor because the directions are north and east then all you do is add 8 + 15 and you get 23 so its 23 miles northeast from starting position

8 0

3 years ago

Examples: Which type of triangle is graphed? Classify by Side and Angle. Then find the perimeter of each

OverLord2011 [107]

24372371847174819582

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3 years ago

In circle O shown below, the endpoints of the

Romashka-Z-Leto [24]

Answer:

2.9 units

Step-by-step explanation:

Length of the radius = ½ of the distance between the two endpoints

Distance between (-2, 4) and (3, 1) using the formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$(-2, 4) = (x_1, y_1)$

$(3, 1) = (x_2, y_2)$

$d = \sqrt{(3 - (-2))^2 + (1 - 4)^2}$

$d = \sqrt{(5)^2 + (-3)^2}$

$d = \sqrt{25 + 9} = \sqrt{34}$

$d = 5.8$

Length of radius = ½ of 5.8 = 2.9 units.

5 0

3 years ago

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 $y(t)$ :