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g100num [7]
3 years ago
12

In a standard deck of cards there are four suits: spades, clubs, hearts, and diamonds. Each suit has one each of 13 cards: ace,

king, queen, jack, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
If event A is choosing a king, event B is choosing a heart, and event C is choosing a jack, which Venn diagram could represent this description?
Mathematics
2 answers:
Andru [333]3 years ago
6 0

Answer:

The answer is A.

Step-by-step explanation:

olasank [31]3 years ago
4 0

Answer:

The answer would be graph A.

Step-by-step explanation:

Since the cards all belong to four suites, the king can be a heart as well as the jack, but they cannot be the same card. So the choice is graph A.

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E<img src="https://tex.z-dn.net/?f=e%5E%7Bx%7D%20-%20e%5E%7B-2%7D%20%3D-2" id="TexFormula1" title="e^{x} - e^{-2} =-2" alt="e^{x
pav-90 [236]

$e\cdot e^x -e^{-2}=-2$

$\implies e^{x+1}=e^{-2}-2$

note that RHS is negative. (because e with negative exponent is less than 1)

and LHS is always positive.

so there cannot be any solution

3 0
3 years ago
At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a w
Tcecarenko [31]

Answer:

  • 3.08 miles

Step-by-step explanation:

  • Total distance = 10 miles
  • Total time = 2 hours
  • Distance walked = x
  • Speed walked = 2 mph
  • Distance cycled = 10 - x
  • Speed cycled = 15 mph

<u>Using the given data we can have the equation below to the time:</u>

  • x/2 + (10 - x)/15 = 2
  • 30x/2 + 30(10 - x)/15 = 30(2)
  • 15x + 20 - 2x = 60
  • 13x = 60 - 20
  • 13x = 40
  • x = 40/13
  • x = 3.08 miles <em>rounded to 2 decimal places</em>
7 0
3 years ago
in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y
Ipatiy [6.2K]

you showed no diagram or any picture / screenshot

4 0
2 years ago
the length of a rectangle is 9 cm and the diagonal of the rectangle is 11 cm. Find the width of the rectangle​
ss7ja [257]

Answer: The width  is the square root of 40 or 6.32

Step-by-step explanation:

9^2 + b^2 = 11^2  where b squared is the width  

81 + b^2 = 121

-81              -81

  b^2 = 40

b= 6.32

7 0
3 years ago
The tallest tree in the world is reputed to be a giant redwood named Hyperion located in Redwood National Park in California, US
dlinn [17]

Answer:

114.02 meters

Step-by-step explanation:

The information you're given about the tree will form a triangle, with the three corners being the top of the tree, the point where the tree meets the ground, and the specified point 41.5 meters from the tree. The angle of elevation (70°) is the angle made where the line representing the ground and the line connecting the top of the tree to the ground at the specified point connect.

The angle where the tree meets the ground is 90°, so the triangle a right triangle.

So this all means you know one angle of a right triangle (70°) and the side adjacent to this angle (41.5 meters). You're solving for the height of the tree, which is the side opposite of the angle you know. You can solve using either <em>Sine, Cosine, </em>or <em>Tangent.</em>

Use the acronym SOHCAHTOA to figure out which of those three functions to use. Feel free to look this up for more information if you haven't heard of it before. In this case, we're using Tangent (TOA = Tangent, Opposite side, Adjacent side)

To solve using any of those three functions, you'll need a scientific calculator. On your calculator, you'll see the buttons <em>SIN, COS, </em>and<em>TAN.</em> For this problem, press <em>TAN</em> and you'll see something appear that says <em>tan (___)</em>. You'll need to input a number to get your answer, and here's how to find that number:

Again referencing SOHCAHTOA, the "TOA" part lists Opposite first and then Adjacent. This is because you're going to write a fraction with those two numbers, and since Opposite is first, it's the numerator. That means that Adjacent is the denominator. We don't know the value of the opposite side, so it'll be represented by <em>x</em>, and we do know the value of the adjacent side, 41.5. This means the fraction is \frac{x}{41.5} .

This isn't the number to input into the calculator -- you need to isolate the variable:

The original equation is:

tan 70 = x/41.5

Multiply both sides by 41.5 (To cancel out the denominator and isolate <em>x</em>)

tan 70 (41.5) = x

Now you've got the equation for <em>x, </em>you're ready to put this in your calculator.

What appeared on your calculator was:

tan(__)

Input like follows:

(tan(70))41.5

The brackets are needed like that so the calculator knows to multiply the entire thing by 41.5. You might get a wrong answer otherwise.

Hit enter, and you'l get the height of the tree:

114.02 meters

5 0
3 years ago
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