An envelope is 4 cm longer than it is wide. the area is 96 square centimeters. find the length and width.

1 answer:

4 0

So, L*W=A Because it is 4 cm longer, L=W+4 Because the area is 96, LW=96 Substitute to get W(W+4)=96 Multiply it out. W^2+4W-96=0 By solving the quadratic, W+12(W-8)=0 so either W+12 or W-8 is zero. The width must be positive, so the width is 8. Therefore the length is 12.

Hope this helps.

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A loaf of bread is cut into slices of equal size. Some of the loaf is used in a recipe and 2/12 of the loaf is used to make a sa

gtnhenbr [62]

Answer:
Fraction of bread used in the recipe is 3/12 which can be further simplified into 1/4

Explanation:
The original loaf of bread is 100% complete (no fraction is taken from it yet). This means that the value of the original loaf is 12/12

Now, assume that the fraction used in the recipe is x

We know that:
2/12 of the loaf was used in making a sandwich
7/12 of the oaf was put in the refrigerator

Therefore:
complete loaf = fraction used in making a sandwich + fraction used in making recipe + fraction put in refrigerator
12/12 = x + 2/12 + 7/12
12/12 = x + 9/12
x = 12/12 - 9/12
x = 3/12

Hope this helps :)

5 0

3 years ago

Read 2 more answers

What is GE ? Enter your answer in the box.

Flura [38]

The length of GE is 10 units

Explanation:

Given that the length of XY = 5 units and YZ = 4.6 units

The length of GE:

We need to determine the length of GE

From the figure, we can see that ZY bisects GE and XY bisects EF.

The lines ZY and XY both bisect GF.

The midpoint theorem states that "the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side".

Since, we have,

EX = XF and X is the midpoint of EF

GY = YF and Y is the midpoint of GF

Since, XY is the line segment that connects the midpoints of the two sides of the triangle.

Applying the midpoint theorem, we have,

$GE = 2XY$