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3 years ago

What is 27/5 as a mixed number

Mathematics

2 answers:

Drupady [299]3 years ago

4 0

Answer: 5 2/5

Step-by-step explanation:

Lorico [155]3 years ago

3 0

5 2/5 is the answer as a mixed number

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What is the value of a?

kati45 [8]

Answer:

a=86

Step-by-step explanation:

180=(a-42)+(a-3)+(180-(a+41))

180=2a-45+139-a

180-139=a-45

41=a-45

a=86

8 0

3 years ago

Part A: If (7^2)^x = 1, what is the value of x? Explain your answer.

kotykmax [81]

For part a x=0 because anything to the power of 0 is 1
For part b any number could be x, because 7^0 is one and 1 to the power of anything will be 1
Hope this helps!

3 0

3 years ago

A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

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

3 cm 7 cm 4 cm 8 cm area

ryzh [129]

Answer:

672 square inches

with area, multiply the side(s) by themselves for a single number, or their following numbers for more than 2 numbers.

Example

18in x 18in = 324 square inches
4in x 2in x 5in x 9in = 360 square inches

hope this helps!

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2 years ago

What is the solution of the equation<br> √3x+2=√2x-2

MakcuM [25]

Step-by-step explanation:

$\sqrt{3 x - \sqrt{2x = 4} }$

7 0

3 years ago