Answer:
460
Step-by-step explanation:
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<u><em>Answer:</em></u>x = −4 and x = 1
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<u><em>Explanation:</em></u><u>The two formula's given are:</u>
f (x) = -x+0.5 and g (x) = x²+3x-4
By graphing the two in a graphing tool or graph paper we can find the solutions by looking at <u>the points of intersection</u> and taking the x values of those two points of intersection.
<u>Looking at the graph below:</u>
x=-4 and x=1 are the solutions to the problem.</span></span>
Answer:
The minimum amount of breaking strain the crane can handle is 6350 kg. (Since it is measured to 2 sig. figs, 6349 kg would round down to 6300 kg, hence the min. is 6350 kg.)
The maximum weight of each crate would be 94 kg. (Since it is measured to the nearest 10 kg, 95 kg would round up to 100 kg, hence the max. is 94 kg.)
Therefore, the greatest number of crates that can be safely lifted would be (6350/94) crates which is 67.5 crates, which rounded down is 67 crates.
All numbers are taken as integers in this answer.
Step-by-step explanation:
Hope this helped!
B is equal to 154 degrees. we know this cause half of the circle equals 180 and if you subtract a (26) from 180 you get 154
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