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k0ka [10]
3 years ago
13

Explain why all circles must be similar. That is, describe a sequence of transformations that will always carries one circle ont

o another.
Mathematics
1 answer:
bonufazy [111]3 years ago
6 0
Because if they arent then they arent truly similar . they would be ovals.
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If a(x + 1) + b(x − 1) − 2 = 0 for all real x, then a =
jek_recluse [69]

Answer:

D) 1

Step-by-step explanation:

using the distributive property we have ax+a+bx-b-2=0. because the equation is true for all real x, ax=-bx. this means a-b-2=0 and a=-b. a-b-2=0 becomes a=b+2. then we substitute a for -b and get -b=b+2 which becomes 2b=-2 so b=-1. since a=-b, a=1

7 0
3 years ago
The recycling bin in the shape of a rectangular prism is 15.5 inches long, 8 inches wide and 7 inches high. The recycling bins n
Viktor [21]

Answer:

694 cubic inches

Step-by-step explanation:

Dimension of prism

Length = 15.5 inches

width =  8 inches

height =  7 inches

Volume of regular prism is given  by area of base * height

area of base  = length * width ( as bin is rectangular)

area of base  = 15.5 * 8 square inches = 124 square inches

Volume of regular prism = area of base * height

      = 124 * 7 cubic inches = 868 cubic inches

_________________________________________________

868 cubic inches is the full capacity of the recycling bin

it is given that recycling bins need to be emptied when it is 80% full

so we need to find the 80% capacity of recycling bin

80% capacity of recycling bin = 80/100 *  full capacity of the recycling bin

                  = 0.8 * 868 cubic inches = 694.4 cubic inches

694.4 cubic inches is the amount needed before the recycle bin is ready to empty .

But question says answer should in nearest cubic inch

hence answer is 694 cubic inches

3 0
3 years ago
Plzzzz helpppppppp...........
Flura [38]

Answer:

Why isn't there a picture-

Step-by-step explanation:

HEHEH BOIS

8 0
2 years ago
8 Darpan runs a distance of 12 km and then cycles a distance of 26 km. His running speed is x km/h and his cycling speed is 10 k
Sonja [21]

The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x  + 26/10x

<h3>What is speed?</h3>

Speed can be calculated as the ratio of distance traveled to the time taken

Darpan runs a distance of 12 km and then cycles a distance of 26 km.

Total distance = 12 + 26 = 38km

The running speed is x km/h

A = x

The cycling speed is 10 km/h faster than his running speed

B = 10x

He takes a total time of 2 hours and 48 minutes.

So, the total time he takes

Time = Distance x speed

2.48 = 12/x  + 26/10x

10x(2.48) = 120 + 26

24.8x = 146

x = 5.8

Learn more about speed here;

brainly.com/question/7359669

#SPJ1

8 0
2 years ago
How would you draw this using a diagram?
ki77a [65]
Where is the diagram?
7 0
3 years ago
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