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3 years ago

13

If a red suit is drawn from an ordinary deck of cards, what is the probability that the card is a diamond?

2 answers:

user100 [1]3 years ago

8 0

The probability that the card is a diamond would be 13/52 which simplifies to 1/4. There are a total of 52 cards in a deck and for each suit thete are 13.

Rzqust [24]3 years ago

3 0

1/2 if you exclude the joker(s) lol
(If it is red cards only)

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When flying at an altitude of 5 miles, the lines of sight to the horizon looking north and south make about a 173.7 degree angle

oksian1 [2.3K]

5 miles high is one of the sides of a triangle depending on accuracy level
h^2=x^2+y^2
we don't have 2 distances
Tan A=O/a
O=a tan A
We solve for O because the angle is at the top of the line going up and we want the opposite angle that is along the ground
O=5×tan(173.7/2)=90.854033512
The distance he can see is:
90.85*2~181.7 miles

Now we need to find the distance between lines:
The north south distance between each line is 69 miles
thus the number of degrees he will see will be:
181.7/69
=2 19/30

7 0

3 years ago

Solve, using the substitution method.

Dafna11 [192]

Hello there!

The question asks us to solve using the substitution method. The equations given are:

$2x+3y=1$

$y=x-8$

We are given a value for y, which is x-8. Substituting $y=x-8$ into the first equation of the system of equation gives us:

$2x+3y=1$

$2x+3(x-8)=1$

Use the distributive property to help simplify and solve for x

$2x+3x-24=1$

Combine like terms

$5x-24=1$

Add 24 to both sides

$5x-24+24=1+24$

$5x=25$

Finally, divide both sides by 5

$x=5$

Now, let's use $x=5$ in the equation $y=x-8$ to find the value of y

$y=x-8$

$y=5-8$

$y=-3$

Now, we have the values x=5 and y=-3. Putting these values into an ordered pair gives us the answer (5,-3), which is the last answer choice.

Let me know if you need any clarifications, thanks!

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3 years ago

Is vuw similar to vxy? if yes, explain how you know. if no, explain why not.

Semenov [28]

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

so

In this problem

we know that

$m< VUW=55\°$

the measure of angle VXY is equal to

$m$ -----> by supplementary angles

$m$

therefore

$m< VUW=m$

Remember that

m<UVW=m<XVY -----> is the same vertex

therefore

Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)

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3 years ago

Solve 6x = 4x^2 using the quadratic formula

Oksi-84 [34.3K]

6's x = 0 and 4's x = 3/2 (put 3 over 2 so it marks as a fraction)

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3 years ago

Find x (7x-11) (2x-3) (5x-2)

luda_lava [24]

Answer:

70x -16

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(7x-11) (2x-3) (5x-2)

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4 years ago