Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2
Step-by-step explanation:
We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.
Answer: 227 pounds.
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated with the following formula:

Where "w" is the width of the rectangular prism, "l" is the length and "h" is the height of the rectangular prism.
In this case you know that:

Substituting values into the formula, you get that the volume of the shipping container is:

You know that it was completely filled with contents that weigh 0.56 pound per cubic foot, approximately. Then, its density is:

Since:

Where "m" is mass and "V" is volume, you can susbstitute values and solve for "m":

Answer:
- √3 / 3, 4th quadrant
Step-by-step explanation:
cot 5π/3 = cot 5 x 180° / 3 = cot 300° ( 4th quadrant)
cot 5π/3 = - √3 / 3
Answer:Jim gets £24
Step-by-step explanation:
Let the amount Natasha gets be represented as x
SO that Krutika getting three times as much as Natasha be represented as 3x
AND Jim getting twice as much as Krutika be represented as 2 x 3x=6x
The equation to show how much each gets can be represented as
x + 3x +6x=40
Solving
x +3x + 6x=40
10x =40
x =40/10 =4
Natasha gets £4
Krutika gets 3x =3x4= £12
Jim gets 6x=6 x4= £24
They can be different because Daryl is doing it online so he will not have to swing arcs on the computer screen he will just use circles. Hope that this helps!
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