Two similar circles are shown. The circumference of the

Mathematics

1 answer:

yaroslaw [1]2 years ago

3 0

Answer:

(B). $\frac{2\pi }{3} x$

Step-by-step explanation:

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What is the measure of the larger angle in this degree?

Pie

Answer:

A straight line is equivalent to 180 degrees with that in mind,

(2.4x)+(9.6x)=180
2.4x+9.6x=180
12x=180
12x/12=180/12
x=15

Now to find the measurement of the larger angle,

9.6*15=144
Just in case you need it
180-144=36
Which is your smaller measurement.

5 0

2 years ago

Travis earned $42.50 in 5 h.<br><br> How much will he earn in 8 h at the same rate?

zepelin [54]

Set up a proportion

42.50/5=x/8

5x=340

x=68

He would earn $68

4 0

2 years ago

Read 2 more answers

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$