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3 years ago

14

In a quadrilateral, consecutive angles and opposite angles are congruent. What is the most specific name of the figure?

1 answer:

ratelena [41]3 years ago

5 0

The four angles are congruet. So each angle is 90°.

So the figure is a rectangle. It could be a square but not necessarily. You can consider a square a special case of rectangle.

The four angles of a rectangle are congruent. And the opposite sides are congruent.

The four angles of a square are congruent. The opposite sides are congruent, furthermore the four sides are congruent.

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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

30 divided by 1.25 with work

vesna_86 [32]

Answer:

24

Step-by-step explanation:

If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.

6 0

3 years ago

In the freshman class, 62% of the students take math, 49% take science, and 38% take both science and math. what percentage take

antoniya [11.8K]

we are given

62% of the students take math

so,

$n(M)=62$

49% take science

$n(S)=49$

38% take both science and math

n(M∩S)=38

now, we can use union formula

n(M∪S)=n(M)+n(S) -n(M∩S)

now, we can plug values

and we get

n(M∪S)=62+49 -38

n(M∪S)=73

so,

the percentage takes at least one science or math course is 73%..........Answer

8 0

3 years ago

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1 1/4 x 3 5/6 <br><br> need helppp

lara31 [8.8K]

Answer:

in decimal form or fraction?

Step-by-step explanation:

decimal =4.7916

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3 years ago

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What is the retail price of $74.99 with a mark up price of 33%

expeople1 [14]

Answer:

the answer is $99.49

Step-by-step explanation:

30 percent of $74.99 is $24.50

74.99 + 24.50 = $99.49

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2 years ago

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