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ycow [4]
2 years ago
12

Solve for x. please explain in detail

Mathematics
1 answer:
Sholpan [36]2 years ago
6 0

Use the cosine formula

Cos(angle) = adjacent/ hypotenuse


cos(30) = x/8

Cos(30) can be written as sqrt(3)/2

Now you have :

sqrt(3)/2 = x/8

Multiply both sides by 8:

X = sqrt(3)/2 x 8

Simplify:

X = 4sqrt(3)

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It’s going to be x+8
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1 year ago
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Mia wants to buy 3 notebooks for $1.29 each. What is the expression for the total cost?
ololo11 [35]

Step-by-step explanation:

Mia want to buy 3 notebook for $1.29 each ,

then total cost =3×1.29

hence, 3×29

1\6+1/12+2/6=2+1+4/12

=7/12

8 0
3 years ago
What is the total surface area of the rectangular pyramid whose net is shown?
Lunna [17]

Answer:

95 in.²

Step-by-step explanation:

Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle

Area of triangle = ½*base*height

base = 5 in.

height = 7 in.

Area of triangle = ½*5*7 = 17.5 in.²

Area of rectangle = Length*width = 5*5 = 25 in.²

Plug in the values

Total surface area of the rectangular pyramid = 4(17.5) + 25

= 95 in.²

7 0
2 years ago
Find the constant of proportionality for the table and write in the form y = kx.
atroni [7]

Answer:

y=4x

Step-by-step explanation:

it's enough to use first column (x=6, y=24). Inserting this data into equation y=kx, we can calculate k.

24=k*6

6k = 24

k = 24/6

k = 4

6 0
3 years ago
What is a formula for the nth term of the given sequence? 20,23, 26...​
lord [1]

Answer:

17 + 3n

Step-by-step explanation:

20, 23,26 ..............

This is an arithmetic series

First term = a = 20

Common difference = second term -  first term

                               d = 23 - 20 = 3

nth terms = a + (n-1)*d

               = 20 + (n -1) *3

               = 20 + n*3 - 1*3

              = 20 + 3n - 3

               = 20 - 3 + 3n

              = 17 + 3n

6 0
2 years ago
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