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Rainbow [258]
3 years ago
8

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th

e numbers facing down.
The probability of picking a card with an even number is _____. Use numerals instead of words. If necessary, use / for the fraction bar. *
Mathematics
1 answer:
Advocard [28]3 years ago
4 0

it would be hard to get a job in the drawing room and the furious and I would be a little more than a little more than I would be

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Three of thiry computers are put of service whar percent of the computers are working​
Schach [20]

Answer: 10%

Step-by-step explanation:

30/3 = 10

3 0
3 years ago
What is the surface area of a sphere with radius 2?
VladimirAG [237]

\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies \begin{array}{llll} SA=4\pi (2)^2\implies SA=16\pi \\\\\\ SA\approx 50.27 \end{array}

8 0
3 years ago
Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y
katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are  (h  ±  a  ,  k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is  2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0
3 years ago
Read 2 more answers
Identify the unit rate in the graph.<br><br> ILL GIVE BRAINLY
OverLord2011 [107]

Answer:

D

Step-by-step explanation:

They wanted to hang Adam's and Hancock as traitors.

7 0
3 years ago
Read 2 more answers
I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!
Brilliant_brown [7]

Answer:

\huge\boxed{IJ \approx 2.01}

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: \text{sin(42)} = \frac{x}{3}

Let's now solve for x.

  • \text{sin(42)} = \frac{x}{3}
  • 3 \cdot \text{sin(42)} = x
  • \text{sin(42)} \approx 0.67
  • 3 \cdot 0.67 \approx 2.01

Therefore, the length of IJ will be around 2.01.

Hope this helped!

4 0
3 years ago
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