sin 48,59 = 0,75, maka cos 138,59 =

Answers

Answer 1

Answer: $cos (138.49)=cos(90-(-48.59))=-sin(48.59)=-0.75$

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Fifteen is __% of 120.
franko pays $48.75 for fifteen 14-count boxes of granola bars. How much does 1 box of granola bars cost
| x - 42.04 | = 23.24

Which of the following is a rational number?

Answers

Answer:

A, B, D are the answers

Step-by-step explanation:

find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. round your answer to the nearest tenth. show all your work

Answers

The answer is 374.4 yards.

There are 2 ways to calculate the area of a a regular hexagon.
It is given:
apothem: b = 10.4 yards
side: a = 12 yards

1. The direct way is to use the formula for the regular hexagon without using an apothem:
$A= (3 √(3) )/(2) a^(2)$
where
A - the area of the hexagon
a - the side of the hexagon

Therefore:
$A= (3 √(3) )/(2) 12^(2)$
$A= (3 √(3) )/(2) 144$
$A= 374.4$

2. The indirect way is to sketch the hexagon with 3 diagonals and create 6 triangles. Then, it is necessary to calculate the area of one triangle and multiply it by 6. In this triangle, apothem is actually the height.
The area of the hexagon is:
A = 6 · A₁
where:
A - the area of the hexagon,
A₁ - the area of the triangle

$A_(1)= (a*h)/(2)$

where
h - height of the triangle.

Since apothem (b) of the hexagon is the height (h) of the triangle, then:
$A_(1)= (a*h)/(2)$
$A_(1)= (12*10.4)/(2)$
$A_(1)= 62.4$

Thus, the area of one triangle is 62.4 yards.

To calculate the area of the hexagon, we will multiply it by 6:
A = 6 · A₁
A = 6 · 62.4
A = 374.4 yards

In both cases, the result is 374.4 yards.The answer is

What is the value of the ratio of the surface area to the volume of the right prism? A. 1.4
B. 1.07
C. 0.94
D. 0.7

Answers

Surface Area: 2(wl + hl + hw)

w = width ; l = length ; h = height

w = 5 ; l = 6 ; h = 3

Plug them in: 2(5*6 + 3*6 + 3*5) = 126

So the surface area is 126.

Volume = lwh

Same values for the letters

6 * 5 * 3 = 90

The ratio is $(126)/(90) = 1.4$

Well, the formula for surface area of the prim is perimeter of the base * height + 2 * area of the base
And for volume, it is length * width * height
After finding the values, you can divide the surface area by the volume and ta-daa, you have your ratio. Hope this was helpful. :)

What is the distance between the points (-1, 4) and (3, 1)

Answers

The distance between the points is 5

John's library has 3 hardcover books for every 8 paperbacks. If he has 121 books in his library, how many of them are paperbacks. Will mark brainliest if correct. Pls show work.

Answers

Answer: 88

Step-by-step explanation:

1. Add 3 and 8 together

3 + 8 = 11

2. Divide 121 by 11

121/ 11 = 11

3. Multiply the amount of paperbacks in the stack of 11 books (8) by 11

11 x 8 = 88

88 Is your answer.

Find the vertex of the parabola
y= x^2-2x-1
vertex (?,?)

Answers

$y=ax^2+bx+c\n\nvertex:(x_v;\ y_v)\n\nx_v=(-b)/(2a)\ and\ y_v=f(x_v)$

$y=x^2-2x-1\n\na=1;\ b=-2;\ c=-1\n\nx_v=(-(-2))/(2\cdot1)=(2)/(2)=1\n\ny_v=1^2-2\cdot1-1=1-2-1=-2\n\nAnswer:(1;-2)$

$y=a(x-h)^2+k \Rightarrow \hbox{vertex}=(h,k)\n\n y=x^2-2x-1\n y=x^2-2x+1-2\n y=(x-1)^2-2 \Rightarrow \hbox{vertex}=(1,-2)$

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