Mathematics, 09.04.2020 00:50 destinee71

A rectangle cake has a length of 22 (1)/(2) inches and a width of 15 inches. How many whole, square pieces of cake with side lengths of 2 (1)/(2) inches can be cut from the cake?

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Answer from: annafellows

54 whole, square pieces of cake can be cut from the cake.

Step-by-step explanation:

Given:

A rectangle cake has a length of $22\frac{1}{2} \ inches$ and a width of 15 inches.

And the square piece of cake has side lengths $2\frac{1}{2} \ inches.$

Now, to find the whole square pieces of cake that can be cut from the cake.

So, we find the area of rectangle cake first by using formula:

Length = $\frac{45}{2} \ inches.$

Width = 15 inches.

$Area=length\times width\\\\$

$Area = \frac{45}{2} \times 15\\\\Area=337.5\ square\ inches.$

The area of cake is 337.5 square inches.

Then, to get the area of square piece of cake by using formula:

Side = $\frac{5}{2} \ inches.$

$Area=(side)^2\\\\Area=(\frac{5}{2} )^2\\\\Area=\frac{25}{4} \\\\Area=6.25\ square\ inches.$

The area of square piece of cake is 6.25 square inches.

Now, to get the whole square pieces of cake that can be cut from the cake by dividing the area of cake by the area of square piece of cake:

$337.5\div 6.25\\\\$

=54.

Therefore, 54 whole, square pieces of cake can be cut from the cake.

Answer from: Quest

The major difference is that a histogram is only used to plot the frequency of score occurrences in a continuous data set that has been divided into classes, called bins. bar charts, on the other hand, can be used for a great deal of other types ofvariables including ordinal andnominal data sets.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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A rectangle cake has a length of 22 (1)/(2) inches and a width of 15 inches. How many whole, square...