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nlexa [21]
3 years ago
13

Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.

Mathematics
2 answers:
makvit [3.9K]3 years ago
7 0

Answer:

Its A on E2020

Step-by-step explanation:

Aleks [24]3 years ago
5 0

Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.

To graph this , first we make the absolute function alone

|x + 1| + 2 > 5

to make absolute function alone we subtract 2 from both sides

|x + 1|  > 3

x+1 inside the absolute function . so x=-1

From -1, move 3 units to the right and 3 units to the left.

For x>2 , shade the graph to the right

For x< -4, shade the graph to the left

The graph is attached below

The solution to the inequality is x<-4 and x>2


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A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the
Wittaler [7]

Answer:

The surface area of the given pyramid is 112 inches^{2}.

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = length^{2}

                            = 4^{2}

                            = 16

Area of its base = 16 inches^{2}

Area of one of its triangular surface = \frac{1}{2} x base x height

                                 = \frac{1}{2} x 4 x 12

                                 = 2 x 12

                                 = 24 inches^{2}

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 inches^{2}

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 inches^{2}

The surface area of the given pyramid is 112 inches^{2}.

8 0
3 years ago
there are 120 seats in the balcony of theatre .if this 1/5 of the total seats, what's the total number of seats in the theater​
natka813 [3]

Answer:

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Step-by-step explanation:

We know there is 120 seats on a balcony and that is   \frac{1}{5}   of the total seats, we want to find the total number of seats so,

120 seats    =      \frac{1}{5}

We know that a whole fraction sums to 1 so for example   \frac{1}{5} +\frac{4}{5} =\frac{5}{5} =1

120 seats    =      \frac{1}{5}

Multiply  both sides to make it a whole fraction

600 seats =     \frac{5}{5} =1

So if there is 120 seats and that number is only    \frac{1}{5}    of the total number of seats then the total number of seats is 600

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