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Phantasy [73]
3 years ago
12

3 less than or greater than -2

Mathematics
1 answer:
Lena [83]3 years ago
8 0
Surprised no one answered this one yet. 
 
You would just subtract 3 or add 3 to -2. 

So -2 - 3 = -5. -2+3 = 1.

Your answers are {-5, 1}. 
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Hello,how do I calculate the the volume of this compound shape?
Setler [38]

To calculate the volume, we can divide this figure into three shapes. Three rectangular prisms, like the following image

The volume of a rectangular prism is given by the product between its 3 different dimensions, width, length and height. The green prism is the easiest to see the its dimensions, it has a width equals to 3, a length equals to 3 and a height equal to 1/2, therefore, its volume is

V_g=3\times3\times\frac{1}{2}=9\times\frac{1}{2}=\frac{9}{2}=4\frac{1}{2}

Since the width of the green prism is 3 and the red prism is 1 1/2 apart from the corner of the green prism, the width of the red prism is the difference between those values.

3-1\frac{1}{2}=\frac{6}{2}-\frac{3}{2}=\frac{6-3}{2}=\frac{3}{2}=1\frac{1}{2}

The length and the height of the red prism are also easy to see on the image, both of those values are 1, which means the volume of the red prism is

V_r=1\frac{1}{2}\times1\times1=1\frac{1}{2}

Finally, the last prism is the blue prism. The height of the green prism and the blue prism combined is equal to 3/4. Since the height of the green prism is 1/2, the height of the blue prism is

\frac{3}{4}-\frac{1}{2}=\frac{3}{4}-\frac{2}{4}=\frac{3-2}{4}=\frac{1}{4}

The length of the red prism and the blue prism combined is equal to 3, since the length of the red prism is 1, the length of the blue prism is

3-1=2

The width of the blue prism is given, it is equal to 1. With those dimensions, we can finally calculate the volume of the blue prism.

V_b=\frac{1}{4}\times2\times1=\frac{1}{2}

The total volume of the compound shape is the sum of all those volumes we calculated.

V=V_g+V_r+V_b=4\frac{1}{2}+1\frac{1}{2}+\frac{1}{2}=6\frac{1}{2}

3 0
1 year ago
If i have zero friends and get zero more friends how many friends do i have 100 points
horrorfan [7]

Answer:

You have 0 friends just like me :D

4 0
3 years ago
Read 2 more answers
2 2<br>3<br>5 x 5 xt<br>(.2x50x+²<br>2​
geniusboy [140]

Answer:

330

Step-by-step explanation:

5 0
3 years ago
Confused can someone help
Alex

Answer:

B.   3x^2 - 2x - 1.

Step-by-step explanation:

(f + g)x = f(x) + g(x)

= -4x + 3 + 3x^2 + 2x - 4

Adding like terms we get the answer:

= 3x^2 - 2x - 1.

7 0
3 years ago
Read 2 more answers
Compute i^1+i^2+i^3....i^99+i^100
fgiga [73]

Good morning ☕️

Answer:

<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ = 0</h3>

Step-by-step explanation:

Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰

S =  i¹ +  i² +  i³ + . . . + i⁹⁹  +  i¹⁰⁰

S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀

then, S is the sum of 100 consecutive terms of a geometric sequence (an)

where the first term a1 = i¹ = i  and the common ratio = i

FORMULA:______________________

S=(term1)*\frac{1-(common.ratio)^{number.of.terms}}{1-(common.ratio)}

_______________________________

then

S=i*\frac{1-i^{100} }{1-i}

or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1  (we know that i⁴ = 1)

Hence

S = 0

7 0
3 years ago
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