List 3 values that would make this inequality true 12<7+n

In a national park the distance between the base of two cliffs is 312 feet . The angle of elevation from the base of the shorter

Sever21 [200]

339 bridge length x as modeled below

4 0

2 years ago

What’s the probability of getting each card out of a deck?

VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen is:

P(5 or Q) = P(5) + P(Q)

= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

6 0

3 years ago

What is the value of x?

Vaselesa [24]

In a right triangle, the hypotenuse is √2 x the legs. In this case, the value of x is $\frac{18}{\sqrt{2} } =\frac{18\sqrt{2} }{2} =9\sqrt{2}$ .

3 0

3 years ago

Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati

riadik2000 [5.3K]

Answer:

y = $\frac{3}{2}$ x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - $\frac{2}{3}$ (x + 5) ← is in point- slope form

with m = - $\frac{2}{3}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{2}{3} }$ = $\frac{3}{2}$

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = $\frac{3}{2}$ x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = $\frac{3}{2}$ x + 7 ← equation of line K

7 0

2 years ago

You wanna answer it you get SOME POINTS . AND YOU GET TO MARRY THE GIRL OF YOU'R DREAMS ! ! ! IK right . So do it .

uysha [10]

Answer:

The answer to your question is 20 feet

Step-by-step explanation:

Data

A = (-2, 1)

B = (4, 1)

C = (-2, -3)

D = (4, -3)

Process

1.- Calculate the distance from C and D

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

dCD = $\sqrt{6^{2}}$

dCD = 6

2.- Calculate the distance from A to C

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

dAC = $\sqrt{4^{2}}$

dAC = 4

3.- Calculate the perimeter

Perimeter = 2(dCD) + 2(dAC)

-Substitution

Perimeter = 2(6) + 2(4)

-Simplification

Perimeter = 12 + 8

-Result

Perimeter = 20 ft

3 0

3 years ago

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