Answer:
Step-by-step explanation:
Data Given: m = 70 kg , g = 9.8 ms^-2, h =10m.
For this case we can use the following formula:

For this case we need to find an expression for the force in terms of the distance. And since on this case the total distance is 10 m long we can write the expression like this:

The only acceleration on this case is the gravity and if we replace the values given we got:

Now we can find the required work with the following integral:


Each of the four angles of a quadrilateral measures 90°.
<u>Only</u><u> </u><u>1</u><u> </u>
we can construct using this condition.
as interior angle of quadrilateral and rectangle is 360°
Answer:
Step-by-step explanation:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6-8)^2+(4+5)^2
d^2=4+81
d^2=85
d=(85)^(1/2)
d=9.22 (rounded to nearest hundredth)
Answer:
54.6 cm : B
Step-by-step explanation:
Mathematically the area of a rectangle is 2( l + b)
So in practical terms we only need the measure of two sides as we have 2 equal sides for a rectangle.
We can see that we have two right angles on each sides
Now to find b, we can use trigonometric ratios
For each of the rectangles, the diagonal represents the hypotenuse
Mathematically;
sin 30 = b/20
From triangle ABC
b = 20 sin 30 = 20 * 0.5 = 10 cm
Now, to get l
Mathematically;
Sin 60 = l/20
l = 20 sin 60 = 17.32 cm
So the perimeter is;
2(10 + 17.32)
2(27.32) = 54.64 cm which is 54.6 to the nearest tenth
Answer:
15 action figures
Step-by-step explanation:
Jacob had $200 to start off with. He spent $75 on vehicles, so we are going to subtract $75 from $200
200 - 75 = 125
He had $125 left. From the money he has left, he wants to purchase more toys. Action figures are $8 each. We will need to find how many action figures he can buy with the rest of his money. To do that, we will divide $125 by $8
125/8 = 15.625
He can buy 15 action figures with his remaining money. He will have remaining change.
I think the equation is:
8x + 125 = 200
8 gets the variable, 200 is the total, and 125 will not get the variable.