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Olin [163]
3 years ago
5

A small box measures 7 in. by 10 in. by 3/4 in. high. Find the volume of the box.

Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer:

Volume = 52.5

Step-by-step explanation:

volume of a rectangular 3d shape can be calculated by length*width*height. In this case:

7*10*0.75 = 52.5

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The lengths of the bases of the right trapezoid are 9 cm and 18 cm. The length of a longer leg is 15 cm. Find the area of the tr
finlep [7]

Firstly, we will draw figure

now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle

because of opposite sides of rectangle ABMD are congruent

so,

DM=AB=9

CM=CD-DM

CM=18-9

CM=9

now, we can find BM by using Pythagoras theorem

BM=\sqrt{BC^2-CM^2}

now, we can plug values

we get

BM=\sqrt{15^2-9^2}

BM=12

now, we can find area of trapezium

A=\frac{1}{2} (AB+CD)*(BM)

now, we can plug values

and we get

A=\frac{1}{2} (9+18)*(12)

A=162cm^2

so, area of of the trapezoid is 162cm^2..........Answer

6 0
2 years ago
Are the irrational numbers closed under addition?
Arte-miy333 [17]

Answer:

Irrational numbers are not closed under addition.

Step-by-step explanation:

Irrational numbers are the numbers that cannot be expressed in the form of a fraction \frac{x}{y}. In other words we can say that irrational number,s decimal expantion does not cease to end.

The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.

This can be understood with the help of an example:

let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.

Hence, irrational numbers are not closed under addition.

4 0
3 years ago
All integer are rational number. true or false? please explain
Elenna [48]

true because integers are all positive numbers, their opposites (negatives), and zero

3 0
3 years ago
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sveticcg [70]
The answer will be 752.50
4 0
3 years ago
Sarah bought a pair of shoes that were discounted 12.5%. If the non-sale price was s,
fgiga [73]

Answer:

B

Step-by-step explanation:

7 0
2 years ago
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