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lora16 [44]
3 years ago
8

Find the surface area of a regular prism iwth height 6 cm, if the base of the prism is: Equilateral triangle with a side of leng

th 3 cm and height of the triangle of aproximately 2.6 cm long.
Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

61.8 square centimeters

Step-by-step explanation:

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Rewrite the set T = { 5a + 2b; a,b belong Z} as a list of its elements
Mamont248 [21]

Answer:

T={...,-3,-2,-1,0,1,2,3,4,....}

Step-by-step explanation:

We are given that T={5a+2b; a,b belongs Z}

We have to rewrite the given set T as  a list of its elements

Substitute a=0 and b=0

Then we get 5(0)+2(0)=0

Substitute a=-1 and b=2 then we get

5(-1)+2(2)=-1

Substitute a=2 and b=0

Then , 5(2)+2(0)=10

If a=0 and b=1

Then, 5(0)+2(1)=2

Substitute a=0 and b=2

Then, 5(0)+2(2)=4

If substitute a=1 and b=1

5(1)+2(1)=7

If substitute a=-1 and b=3

Then, we get 5(-1)+2(3)=1

Then, T={...,-3,-2,-1,0,1,2,3,4,....}

7 0
3 years ago
A line goes through the points (9,8) and (4,-12). What is the slope of the line? Show your work Write the equation of the line i
RoseWind [281]

The slope of the line is 4

The point slope form of the line can be written as (y - 8) = 4(x - 9)

The slope intercept form of the line is y = 4x - 28

In order to find the slope you will need to use the formula for slope. It is included below.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - -12)/(9 - 4)

m = (8 + 12)/(9 - 4)

m = 20/5

m = 4

Now that we have the slope, we can plug it into point slope form along with one of the points.

(y - y1) = m(x - x1)

(y - 8) = 4(x - 9)

Now to get to the slope-intercept form of the line, we can simply manipulate the point-slope form until it is in y = mx + b

(y - 8) = 4(x - 9) ----> Distribute the 4

y - 8 = 4x - 36 -----> Add 8 to both sides

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5 0
3 years ago
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saveliy_v [14]

Answer:

-3/2

Step-by-step explanation:

3 0
3 years ago
What is 4/20 divided by 1/5 equal to?
sasho [114]
The answer would be 1
3 0
3 years ago
Read 2 more answers
What is the base 10 representation of 11102?
Bumek [7]

Answer:

14 in base 10.

Step-by-step explanation:

working from right to left we have:

0 + 1*2 + 1*2^2 + 1*2^3

= 0 + 2 + 4 + 8

= 14.

5 0
3 years ago
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