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kykrilka [37]
3 years ago
15

Can someone please help me with both of these questions. Thanks so much.

Mathematics
2 answers:
adell [148]3 years ago
8 0
(1.) Part A
The Yellow Chalk because when you turn 2/6 into a new fraction (double it) its 4/12 and 4/12 is bigger than 3/12.

(2.) Part B
It's true because 5/12 is less than half of the bucket because the other half is 7/12

Dahasolnce [82]3 years ago
3 0
Part A. The answer is ''There is more yellow than green'' - For this, you had to change 2/6 into a fraction with a denominator of 12, so you do how much times 6 can go into 2, and multiply that with the numerator and you get 4/12. Now you just compare the numerators.

Part B. Andrea is correct because 1/2 of the bucket is 6/12, and there is 5/12 blue, so it is less
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A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei
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Part 1) The volume of the paperweight is 576\ cm^{3}

Part 2) The total surface area of the paperweight is 400\ cm^{2}

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the square base

H is the height of the pyramid

B=8^{2}=64\ cm^{2}

H=3\ cm

substitute

V=\frac{1}{3}(64)(3)=64\ cm^{3}

step 2

Find the volume of the cube

The volume of the cube is equal to

V=b^{3}

V=8^{3}=512\ cm^{3}

step 3

Find the volume of the paperweight

64\ cm^{3}+512\ cm^{3}=576\ cm^{3}

Part 2) what is the total surface area of the paperweight?​

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

SA=5b^{2}

SA=5(8^{2})=320\ cm^{2}

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bh]

LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}

step 3

Find the total surface area of the paperweight

320\ cm^{2}+80\ cm^{2}=400\ cm^{2}

8 0
3 years ago
Helppppppppppppppppppppppppppp me plz
Anit [1.1K]
Yes they are equivalent expressions. If you take the z to the power of two, and subtract that from the other z to the power of two, it is zero. So you are left with four which is the answer
6 0
3 years ago
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