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Answer for this:

5.64

Answer:

Volume of triangular prism is given by formula

Volume of triangular prism = (Area of the base) x 12 (height of the prism)

now plug the given values

216= (area of the base) x 12

216/12 = area of the base

18= area of the base

so, the answer is 18 square cm

Answer:

3.375 or 3.38 if rounded to the hundredths place.

Step-by-step explanation:

To get the mean of a set of numbers we add all the numbers in the set and then divide the sum by the amount of numbers in the set.

3+7+0+3+4+0+9+1= 27

Amount of numbers: 8

We divide 27 by 8.

27 ÷ 8= 3.375

3.375 is the mean, which we can round to 3.38 or further down to 3.4 for the tenths place and 3 for the ones place.

Answer:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.

Answer:

16.

Step-by-step explanation:

nth term = a1r^(n-1)

Here a1 = 1, n = 5 and r = 2/1 = 2.

5th term = 1 * (2)^(5-1)

= 1*2^4

= 16.

Answer:

See below

Step-by-step explanation:

A plane is a flat, two-dimensional surface that extends infinitely.

A point is a precise location on a plane.

A line is a one-dimensional figure that has only its length that extends infinitely.

Points are collinear if they all fall on the same straight line.

Points or lines are coplanar if they all fall on the same plane.

Line segments are a line with two endpoints on each end of the segment, which have a definite length.

Rays are lines that have one endpoint and the other end of the line extends infinitely with no endpoint.

Opposite rays are two rays that have a common endpoint that point in opposite directions and form a straight line.

Answer:

[tex]\frac{1625z^{10}}{x^5}[/tex]

Step-by-step explanation:

[tex]\frac{13\cdot \:1\cdot \:x^{-5}}{5^{-3}z^{-10}}[/tex]

[tex]\frac{13x^{-5}}{\frac{1}{125z^{10}}}[/tex]

[tex]\frac{\frac{13}{x^5}}{\frac{1}{125z^{10}}}\\[/tex]

[tex]=\frac{13\cdot \:125z^{10}}{x^5\cdot \:1}[/tex]

refine: [tex]\frac{13\cdot \:125z^{10}}{x^5}[/tex]

multiply the numbers: 12 x 125 =1625

[tex]=\frac{1625z^{10}}{x^5}[/tex]

Answer:

multiply the numbers: 12 x 125 =1625

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

You can basically just drop the plus sign and remove the parenthesis because the plus sign doesn't alter negatives.

-6+(-12)

-6-12= -18

Answer:-18

Step-by-step explanation:

Answer:

Step-by-step explanation:

if u multiply the order of two matrix then the row is 2 and column is also 2 of a new matrix.

Answer:

not building towns near the edge of a tectonic plate

Step-by-step explanation:

not building towns near the edge of a tectonic plate

Let the cosecutive numbers be like this :

2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5

Odd , Even , Odd , Even , Odd

______________________________

So we have :

(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39

6n + 9 = 4n + 6 + 39

6n + 9 = 4n + 45

Subtract both sides 9

6n + 9 - 9 = 4n + 45 - 9

6n + 0 = 4n + 36

6n = 4n + 36

Subtract both sides 4n

6n - 4n = 4n - 4n + 36

2n = 0 + 36

2n = 36

Divide both sides by 2

2n ÷ 2 = 36 ÷ 2

n = 18

______________________________

So the numbers are :

2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5

36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5

37 , 38 , 39 , 40 , 41

As u can see the Odd numbers are :

37 , 39 , 41

And we're done ...

Answer:3

Step-by-step explanation:

3-6*12

Answer:

Is the C and F

Step-by-step explanation:

Answer:

0.25 pints

Step-by-step explanation:

Hehe, i used goo. gle

Answers:

b = -10

c = 25

=================================================

Explanation:

If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.

Expand that out to get

(x-5)^2

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Then compare this to x^2 + bx + c to find

b = -10

c = 25

If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.

Answer:

-2

Step-by-step explanation:

Well since this line is parallel to y=3x-5 they must have the same slope

We are just solving for the y-intercept

We have a point (2,4) lets plug it into

y=3x+ b

4 = 3(2) +b

4= 6 +b

-2 = b

The value of b is -2

Answer:

B-value = -2

Step-by-step explanation:

In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.

Hope this helps!

Here is the diagram:

Answer:

see details below

Step-by-step explanation:

First, assume >2 was meant to be &super;. or square.

then the given equations are:

A 3x^2-5=-8

b 2x^2=6x-5

c 12x=9x^2 +4

d -x^2 - 10x =34

In all cases, rearrange equation to identify parameters a, b and c, then calculate determinant using D=b^2-4ac.

A 3x^2x-5=-8

   3x^2-5x+8=0, a=3, b=-5, c=8

   D=b^2-4ac = (-5)^2-4*3*8 = 25 - 96  = -71  < 0   => 2 complex solutions

B 2x^2=6x-5

   2x^2-6x+5, a=2, b=-6, c=5

   D=b^2-4ac = (-6)^2-4*2*5 = 36 - 40 = -4  < 0   => 2 complex solutions

C 12x=9x^2 +4

   9x^2-12x+4, a = 9, b=-12, c=4

   D=b^2-4ac = (12)^2-4*9*4 = 144 - 144 = 0   => 2 real coincident solutions    

D -x^2 - 10x =34

   -x^2-10x-34, a = -1, b=-10, c=-34

    D=b^2-4ac = (-10)^2-4*(-1)*(-34) = 100 - 136 = -36   <0  => 2 complex  solutions    

68

Schools almost over, good luck!!

Answer:

153.9380400258yds is the answer

Answer:

12

Step-by-step explanation:

A = 1/2 x 8 x 3 = 12

Answer:

B & E

Step-by-step explanation:

___________________

Answer:

A) 4 packs

B) $168.48

Step-by-step explanation:

A) Lily will need to bring 4 packs of bottled water because 3 bottles per guest is 37 times 3, which gives us 111 water bottles. If each pack has 36, divide 111 water bottles by 36 giving us 3.08333333333 packs. Since you cannot buy 3.08333333333 packs of bottled water, Lily will need to round up to the nearest whole number to insure that each guest has exactly 3 water bottles. When you round up it will be 4 packs of bottled water.

B) Because Lily is bringing 4 packs of bottled water to the party and each pack costs $42.12, multiply 42.12 by 4 to get $168.48 as the total cost of her purchase.

Answer:

A. 27

B. 21

C. 19

D. 24

E. 10

Answer:

height = 1/4y

Step-by-step explanation:

V(cylinder) = πr²h

V(cone) = πr²h ÷ 3

V(cyl) = πx²y

V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4

πx²y = πx²y ÷ 4

if you divide each side by πx² you get:

y = y/4

height is 1/4y

Answer:

विक्रय मुल्य=रु.63000

Step-by-step explanation:

खरिद मुल्य)- रु. 60,000 (cp)

नाफा (P%)=5 (p%)

विक्रय मुल्य =? (sp)

now,

sp=(100+p%)/100×cp

so, sp is Rs 63000.

hope it helps.

Answer:

Step-by-step explanation:

2/3*x=20

2x=20*3

x=60/2

x=30

Answer:

16 hours

Step-by-step explanation:

120/4 = 30 miles per hour

480/30 = 16 hours