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2 years ago

How do you graph inequalities on a number line?

Mathematics

1 answer:

coldgirl [10]2 years ago

6 0

Step-by-step explanation:

the filled in circles are for anything less than or equal to or greater than or equal to.

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Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

2 years ago

Pls help me on this question people are just putting the answer as I don't know plsssss help me

mrs_skeptik [129]

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

$A=\frac{a+b}{2} *h$

Given:

a = 11

b = 35

h = 14

Work:

$A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322$

4 0

1 year ago

Read 2 more answers

Jaheed is making puch for a party. The recipe calls for 3.5 liters of fruit juice. Write a formula to help jaheed determine the

Nimfa-mama [501]

$\pi x^{2} \frac{x}{y}$

5 0

2 years ago

Nine fewer than half a number is five more than four times the number. Define a variable, write an equation, and solve to find t

nignag [31]

N = the number

0.5n - 9 = 4n + 5
(0.5n - 0.5n) - 9 = (4n - 0.5n) + 5
-9 = 3.5n + 5
(-9 - 5) = 3.5n + (5 - 5)
-14 = 3.5n
-14/3.5 = 3.5n/3.5
-4 = n

The number is -4.

3 0

2 years ago

A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is

nordsb [41]

The answer is : w=1.1×10^7mm

5 0

1 year ago

Read 2 more answers