Answer:
<h2>The measure of ∠JHG is 70 degrees</h2>
Step-by-step explanation:
If you have one of angle's sides by 0° at protractor then the other side crosses the measure of angle.
First number: x
Second: x + 6
(x)^2 + (x + 6)^2 = 90
x^2 + x^2 + 6x + 6x + 36 = 90
Simplify more
2x^2 + 12x + 36 = 90
2x^2 + 12x - 54 = 0
2(x + 9)(x - 3) = 0
You know that x = -9, and 3
The first number is 3, the other -9
TO determine the mass of the helium in the balloon, we make use of the density of the gas that is given in the problem and the volume of helium that is present. <span>Density is a property of a
material which describes the mass of a material per unit volume. By multiplying the volume to density, we get the mass of the helium gas in the balloon. We do as follows:
Mass = Density x Volume
Mass = 0.1785 kg / m^3 x 3249 m^3
Mass = 579.9465 kg
Therefore, the mass of helium gas in the hot air balloon would be about 579.9 kg.</span>
Answer:
Step-by-step explanation:
<em>Look at the picture.</em>
Shadded region is a parallelogram.
The formula of an area of a prarallelogram:
We have the height <em>h = 2</em>.
Calculate the base.
Green triangles are congruent.
Use the Pytgagorean theorem:
We have:
Substitute:
Therefore the base is:
Calculate the area: