For this item, we let x be the number of hours she works out and y be the total number of bananas that she will be eating after the workout. The expression that best described the given above is,
y = 5 + 2x
5 is given as the y-intercept because of the initial condition.
Gideon is painting all sides thus we find the overall area of the square pyramid given in the picture. A square pyramid is a polyhedron that consists of a square and 4 triangles. To solve the area that Gideon will have to paint, we can calculate the area of the square and the area of the triangles then add these two values of area. We proceed as follows:
Area of the square = s^2 where s is the measure of the side
Area of the square = 4^2 = 16 in^2
Area of the triangle= 1/2 bh where b is the base of the triangle and h is height of the triangle
Area of the triangle = 1/2 (4) (5) = 10 in^2
We multiply the area of the triangle to four in order to obtain the total area of the triangles.
Total area of the triangles = 4 x 10 = 40 in^2
We then add the two areas,
Total Area = 16 + 40 = 56 in^2
Thus the total area that Gideon will have to paint for one square pyramid is 56 in^2.
N(4)-1
n(4)-2
ex 2(4)=8
8-1=7
7(4)=28
28-2=26
so the next number would be 1595
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
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Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
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<span>2x+2(2x+10)=56,
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</span><span>2x+4x+20=56,
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</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
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</span><span>x=6 ft. and 2x+10=12+10=22 ft.
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</span><span>Answer: The length of the yard is 22 feet</span>
