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3 years ago

Solve. -7 2/3 +(-5 1/2) +8 3/4= 0

Mathematics

1 answer:

azamat3 years ago

8 0

Answer:

i believe its 79/12

Step-by-step explanation:

if u need a explanation i can give one

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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

A number written in the form of p by Q is called

Vsevolod [243]

Answer:

Rational number

Step-by-step explanation:

If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator.

6 0

3 years ago

I NEED HELP ITS FOR A GRADE THIS IS LAST QUESTION I GIVE U BRAINLIEST IF U GET IT RIGHT

yulyashka [42]

Answer:

1rst is 2

2nd is 28 4/5

3rd is 26 4/5

3 0

3 years ago

Zzyzx Road is in California near Nevada. How many five-letter arrangements of the letters in the English alphabet follow Zzyzx a

Nutka1998 [239]

XyzzZ That's It I think.

7 0

3 years ago

Solve, then check algebraically and graphically. 7x+14= 56

kari74 [83]

Answer:

x = 6

Step-by-step explanation:

7 x = 56-14

7 x = 42

7 x/7 to remain with x only = 42

then x = 6

6 0

3 years ago