Answer:
<h2>
</h2>
Step-by-step explanation:
-5(m - 3) + 6 = 2(m - 5)
<u>Expand the terms in the bracket</u>
That's
- 5m + 15 + 6 = 2m - 10
- 5m + 21 = 2m - 10
<u>Subtract 2m from both sides</u>
- 5m - 2m + 21 = 2m - 2m - 10
- 7m + 21 = - 10
<u>Subtract 21 from both sides</u>
That's
- 7m + 21 - 21 = - 10 - 31
- 7m = - 31
<u>Divide both sides by - 7</u>
We have the final answer as
<h3>
</h3>
Hope this helps you
Volcanic eruptions release molten rock or lava that can form new rock on the earth's surface. The gases,dust, and ashes that erupt from a volcano also affect the climate by covering the earth's surface; therefore, creating a cooling effect on the location of the volcano. Also, in the past where there were super volcanic eruptions that it caused global warming due to volcanoes also releasing greenhouse gases.
Answer:
75% bigger
Step-by-step explanation:
Let the first number be x and the second be y.
So:
And:
-----30% less than x
Substitute in
Cross multiply
Collect like terms
Make x the subject
So, the average is:
Rewrite as:
Express as percentage
This means that the average is 75% bigger than the second number
The lateral area would be 298.7 cm².
The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is
A=1/2bh,
so we still need the height of the triangle.
The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:
8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h
Substituting this into our area formula we have:
A=1/2(6.6)(8√2)
We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7
