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Vinvika [58]
3 years ago
12

Solve the volume for all these figures

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

The formula for volume is length x width x height

A. 2x6x8=96 units^3

B. 1x7x4=28 units^3

C. 2x3x5= 30 units^3

D. 4x4x2= 32 units^3

E. 5x4x3= 60 units^3

Step-by-step explanation:

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Joseph reaches into a bag with 5 red marbles, 3 yellow marbles, and 2 green marbles, and randomly selects one. Then, he puts the
snow_tiger [21]
I think it is 3:10 but im not really sure
3 0
3 years ago
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi
Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}=  \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0
3 years ago
The perimeter of the rectangle below is 132 units.
Valentin [98]

Answer:

<em>The</em><em> </em><em>answer is</em><em> </em><em>29</em><em> </em><em>unit</em><em>.</em>

Step-by-step explanation:

Here,

given that,

DC (l) =4z+1

CD (b)=5z+2

perimeter (p)= 132

now,

perimeter of rectangle (p) is= 2(l+b)

or, 132 = 2×{(4z+1)+(5z+2)}

or, 132= 2×(9z+3)

or, 132= 18z+6

or, 18z=132-6

or, z=126/18

or, z= 7.

therefore, 4z+1=4×7+1=29

5z+2= 5×7+2=37.

As our question is about to find AB,

DC = AB. (as opposite side of rectangle is equal).

so, the valueof AB is 29unit.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
Multiply two and five-eighths negative two and three-fifths . negative six and thirty-three fortieths negative four and three-ei
OLga [1]

The <em><u>correct answer</u></em> is:

negative six and thirty-three fortieths

Explanation:

To multiply (2 5/8)(-2 3/5), we first change each mixed number to an improper fraction.  To do this, we multiply each whole number by the denominator and add the numerator:

(2*8)+5 = 16+5 = 21; this makes 2 5/8 = 21/8

(2*5)+3 = 10+3 = 13; this makes -2 3/5 = -13/5

This gives us

(21/8)(-13/5) = (21*-13)/(8*5) = -273/40

40 will go into 273 6 times; this gives us the number -6.  There is then 270-240 = 33 left over; this gives us 33/40, and a total of -6 33/40.

3 0
4 years ago
Read 2 more answers
What is the gcf of 25 and 75
andrew-mc [135]

Answer:

First prime factorize the number:

25 = 5 × 5

75 = 3 × 5 × 5

Then find the GCF:

GCF(25, 75)

= 5 × 5

= 25

6 0
3 years ago
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