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3 years ago

The prism below is made of cubes which measure of a centimeter on one side. What is the volume?

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

Answer:

45/8 cubic cm

Step-by-step explanation:

The volume of a prism can be determined using the formula below.

Volume = length × width × height

Since each cube measures of a centimeter on one side, then the dimensions of the prism are shown below.

Length = 5 x 1/2 cm

Width = 3 x 1/2 cm

Height = 3 x 1/2 cm

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Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v

noname [10]

Answer:

If b=-3 then the first expression is equal to 24 and the second expression is equal to -14.

If b=-2 then the first expression is equal to 8 and the second expression is equal to -36.

If b=10 then the first expression is equal to 440 and the second expression is equal to 324.

Yes, it is true.

Step-by-step explanation:

b=-3:

4b(b+1)=4(-3)(-3+1)=-12(-2)=24

(2b+7)(2b-8)=(2(-3)+7)(2(-3)-8)=(-6+7)(-6-8)=1(-14)=-14

b=-2:

4b(b+1)=4(-2)(-2+1)=-8(-1)=8

(2b+7)(2b-8)=(2(-2)+7)(2(-2)-8)=(-4+7)(-4-8)=3(-12)=-36

b=10:

4b(b+1)=4(10)(10+1)=40(11)=440

(2b+7)(2b-8)=(2(10)+7)(2(10)-8)=(20+7)(20-8)=27(12)=324

8 0

3 years ago

Suppose you have the following recursion formula a1 = 1, a2 = 2, and an = a(n - 1)+ a(n - 2) for integers n ≥ 3. How would you d

Firlakuza [10]

$\left\{\begin{array}{ccc}a_1=1\\a_2=2\\a_n=a_{n-1}+a_{n-2}&for\ n\geq3\end{array}\right\\\\a_3=a_{3-1}+a_{3-2}=a_2+a_1\to a_3=2+1=3\\\\a_4=a_{4-1}+a_{4-2}=a_3+a_2\to a_4=3+2=5\\\\a_5=a_{5-1}+a_{5-2}=a_4+a_3\to a_5=5+3=8\\\vdots$

6 0

3 years ago

What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down?

zheka24 [161]

Answer:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

Step-by-step explanation:

Given

$A = (1,1)$ $B =(2,3)$

$C = (4,3)$ $D = (5,1)$

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

$(x,y)=>(-x,y)$

So:

$A = (1,1)$ $=> A' = (-1,1)$

$B =(2,3)$ $=> B' = (-2,3)$

$C = (4,3)$ $=> C' = (-4,3)$

$D = (5,1)$ $=> D' = (-5,1)$

When a point is translated 2 units down, the rule is:

$(x,y) => (x,y-2)$

So:

$A = (1,1)$ $=> A' = (-1,1)$ $=> A" =(-1,-1)$

$B =(2,3)$ $=> B' = (-2,3)$ $=> B" =(-2,1)$

$C = (4,3)$ $=> C' = (-4,3)$ $=> C" =(-4,1)$

$D = (5,1)$ $=> D' = (-5,1)$ $=> D" =(-5,-1)$

So, the new coordinates are:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

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3 years ago

Help from 1-3 plz!!!

Mumz [18]

If you mean 3-1 its 2

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3 years ago

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3 years ago

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