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3 years ago

What number is greatest? 2 2/3,2.67,2 3/5,2.49

Mathematics

1 answer:

Anettt [7]3 years ago

6 0

As a decimal, 2 2/3 is 2.67
2 3/5 is 2.6

So, the greatest is 2 2/3 and 2.67 because they are equivalent

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mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

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rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

WHOEVER ANSWERS THIS FIRST WITHIN 10 MINUTES GETS VOTED BRAINLIEST

user100 [1]

Answer:

least

second least

-1/x

second greatest

x-1

greatest

1-x

Step-by-step explanation:

just put -14 where x is and put it in the calculator.

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2 years ago

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Hatshy [7]

Answer:56.8 inches

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For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.

the triangle is cut directly in half so both halves of the base are 17/2

17/2 = 8.5

solve through pythagoren theorum

altitude^2 + (half of base)^2 = (diagonal length)^2

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324 + 72.25 = (diagonal length)^2

396.3 = (diagonal length)^2

$\sqrt{396.3}$ = diagonal length

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56.8 inches = perimeter

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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