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Cloud [144]
3 years ago
10

Find the value of x Please help this is due 6pm

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0
In SOHCAHTOA you want to use cosine (CAH)
Cos75 = x/30
Use algebra to get x by itself.
So type into your calculator:

30cos(75) which equals 7.76
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Suppose f(x) = 2x + 4. Describe how the graph of g compares with the graph of f. g(x) = f(x) + 8
abruzzese [7]

Answer:

the aswer is 54

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x - 7x + 11?
Maksim231197 [3]

Answer:

±1, ±11, ±1/5, ±11/5

Step-by-step explanation:

f(x) = 5x³ - 7x + 11

constant term: 11

leading coefficient: 5

factors of the constant term: ±1, ±11

factors of the leading coefficient: ±1, ±5

possible rational roots = factors of the constant term/factors of the leading coefficient = ±1, ±11, ±1/5, ±11/5

6 0
3 years ago
Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon
Vlad [161]

Answer:

5

0.9990

0.0401

Step-by-step explanation:

1) Probability(diamond) = 13/52 = 1/4

Probability(not diamond) = 1 - 1/4 = 3/4

Probability of atleast one diamond = 1 - probability of no diamonds

= 1 - (¾ × ¾) = 1 - 9/16 = 7/16

Expected no. = np = 12 × 7/16

= 5.25 = 5 (nearest whole no.)

2) let X be the no. of people winning the prize.

Then X ~ B(12, 7/16)

[ X follows a Binomial Distribution with 12 trials and probability of success (winning prize) = 7/16 ]

P(atleast 1 winning) = 1 - P(X=0)

= 1 - (9/16)^12

= 0.9989966087

= 0.9990 (4 dp)

3) P(X=2) = 12C2 × (7/16)² × (9/16)^10

= 0.0400613268

= 0.0401 (4 dp)

7 0
3 years ago
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
lisabon 2012 [21]

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

As length is 5 inches longer than width, we have to add 5 to width

Length = x + 5

Perimeter of ractangle = 56 in

2* (length + width) = 56

2*( x + 5 + x) = 56

2* (2x + 5)    = 56

Use distributive property: a*(b +c) =(a*b) + (a * c)

2*2x + 2*5   = 56

4x  + 10 = 56

Subtract 10 from both sides

4x = 56- 10

4x = 46

Divide both sides by 4

x = 46/4

x = 11.5

Width = 11.5 in

length = 11.5 + 5

            = 16.5 in

3 0
2 years ago
The area of the vegetable garden is 0.4 of the community area of 4.5 x 6.2 . What is the area of the vegetable garden?
Gala2k [10]

Answer:

11.16 units²

Step-by-step explanation:

Area of community area=4.5×6.2= 27.9 units²

Area of vegetable garden=27.9×0.4=11.16 units²

5 0
3 years ago
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