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avanturin [10]
3 years ago
11

Rewrite the compound inequality as an absolute value inequality in one variable.

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

Solution: x < -2 or x > 16

Step-by-step explanation:

x − 7 < −9 or x − 7 > 9

x − 7 < −9 : x − 7 > 9

x - 7 < -9

Add 7 to both sides

x - 7 +7 < -9 + 7

Simplify

x < -2

x - 7 > 9 : x > 16

x - 7 > 9

Add 7 to both sides

x - 7+7 > 9 +7

Simplify

x > 16

Combine the intervals

x < -2 or x > 16

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How much material is needed to construct a triangular tent that is 6 feet wide 4 feet tall and 8 feet long with side measurement
jonny [76]

Answer: 152ft^2

The amount of material needed to construct the tent is 152ft^2

Step-by-step explanation:

The amount of material needed to construct a triangular tent= the surface area of the triangular tent.

S.A = area of the 2 side rectangles + area of the 2 side triangles + area of the base.

S.A = Ab + At + Ar ....1

Area of the base Ab= Length × width = 8×6 = 48ft^2

Area of the two triangles At = 2 × 0.5 × width × height

At = width × height = 6×4 = 24ft^2

Area of the two rectangles Ar = 2 × side measurement × length

Side measurement is given as 5ft.

or it can be calculated using;

Side length can be calculated using Pythagoras theorem.

Examining the figure attached, we can see that;

Side breadth b = √(h^2 + (w/2)^2)

b = √(4^2 + (6/2)^2) = √(16+9) = √25

b = 5ft

Ar = 2×5×8 = 80ft^2

From eqn1, S.A can be solved as;

S.A = 48 + 24 + 80

S.A = 152ft^2

7 0
3 years ago
SOMEONE PLEASE HELP ME
goldfiish [28.3K]

Answer:

First break up 72 into

36 x 2 x -1

Then take the square root of 36

6 square root 2 x -1

Finally make square root -1 = i

6i square root 2 is your answer

Step-by-step explanation:

7 0
3 years ago
Solve for x leave answer as decimal <br> 6/5=x/3
777dan777 [17]

Answer:

3 3/5 =x

3 .6 =x

Step-by-step explanation:

6/5 = x/3

Use cross products

6*3 = 5*x

18 = 5x

Divide each side by 5

18/5 = 5x/5

18/5 =x

3 3/5 =x

8 0
3 years ago
Read 2 more answers
Britney spent 115 minutes reading last week and 140 minutes reading this week.
Ann [662]
255? i not sure though
5 0
3 years ago
Calculate:
Nadya [2.5K]

Answer:

13.64 litres

Explanation

Since 1 gallon = 4.546 litres

Therefore...3 gal

; 3 × 4.546 = 13.64 litres

8 0
3 years ago
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