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bogdanovich [222]
2 years ago
14

(3*10)*8=240*(10*8) what is the property

Mathematics
1 answer:
strojnjashka [21]2 years ago
5 0

Answer:

2 + (3 + 4) = (2 + 3) + 4 ⇒2+7 = 5+4.

Step-by-step explanation:

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For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of
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}

V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3

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

4 0
3 years ago
Assume you are rolling two​ dice; the first one is​ red, and the second one is green. Use a systematic listing to determine the
trapecia [35]
Red die:      1,2,3,4
green die:  4,3,2,1

I'm not sure if that's the answer you were looking for, but hopefully that helps.
4 0
3 years ago
Find the domain of the equation
goblinko [34]
The domain is all real numbers, since x can be any number and create a y value

This can be written in a few ways, including:

X:X

X: R

-(infinity sign) is less than or equal to X is less than or equal to (infinity sign)
8 0
3 years ago
Line m and p are perpendicular. if the slope of line m is -3, what is the slope of line p
telo118 [61]

Perpendicular slopes multiply to -1, so are <em>negative reciprocals.</em>

-1 / -3 = 1/3

Answer: B.  1/3

6 0
3 years ago
Help..................
Mashcka [7]
Im sorry, it is too blurry. I cannot read it.
4 0
2 years ago
Read 2 more answers
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