PLEASE HELP ASAP!!!!!!

Mathematics

1 answer:

Rainbow [258]3 years ago

7 0

Answer:

6/5 units³

Step-by-step explanation:

The volume of the prism is given by the formula

V = Bh

where B is the area of the "base" and h is the height perpendicular to that base. Filling in the given numbers, you have ...

V = (9/5)·(2/3) = 18/15 = 6/5 . . . . units³

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Write equation for the center(-1,0) radius of 6

Ira Lisetskai [31]

Answer:

(x+1)² + y² = 36

Step-by-step explanation:

<u>Equation of a circle:</u>

(x-h)² + (y-k)² = r²

Center: (h,k)

Radius: r

Given a center of (-1,0) and a radius of 6, we have for our equation:

(x-(-1))² + (y-0)² = 6²

(x+1)² + y² = 36

3 0

3 years ago

X+2(x+3(x+4(x+5)))=153

Allushta [10]

Answer:

$x=1$

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

$4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1$