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balu736 [363]
2 years ago
11

Practice with area

Mathematics
1 answer:
joja [24]2 years ago
4 0

Answer:

  1453 cm²

Step-by-step explanation:

The area of a regular polygon is given in terms of its perimeter and apothem by ...

  A = (1/2)Pa

  A = (1/2)(145.3 cm)(20 cm) = 1453 cm²

The area of the pentagon is 1453 square centimeters.

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Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

0\geq 3

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0
3 years ago
Read 2 more answers
Linear Functions <br> 7g+3g-10+3=43<br> Step by step solution? <br> Thankss!❤️
Ivahew [28]
7g + 3g - 10 + 3 = 43

(first combine likes terms)

10g - 7 = 43

(then add 7 to both sides)

10g - 7 = 43
        +7    +7

10g = 50

(then divide by 10 to get what g is equal to)

10g = 50
/10     /10

g = 5
4 0
3 years ago
5 + 4x + 6 - 2x<br> explain how you would do it
Alona [7]

Answer:

11+2x

Step-by-step explanation:

5+6=11

4x-2x=2x

8 0
2 years ago
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A bottle can hold 2.75 liters of water. About how many gallons can the bottle hold? Round to the nearest hundredth.
Serjik [45]
1 gallon is equal to 3.78541 liters 
6 0
3 years ago
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Trapezoid RSTU with vertices R(-5, 15), S(0, 10), T(-5, 5) and U(-15, 5): scale factor = 1/5, centered at the origin
Vlada [557]

Answer:

34

Step-by-step explanation:

6 0
2 years ago
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