Solve the division problem. Round answer to the nearest hundreth<br><br> 9.2 divide 52.063

In the given figure, measure HK= 50° and measure GKL is 50° which statement is true?

Minchanka [31]

Answer: A

Step-by-step explanation:

The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.

6 0

3 years ago

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:

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

$side = \frac{36}{\sqrt{3}}$

Hence, area of the hexagon will be: $648\sqrt{3}$ square units

(24)

Given is the inradius of an equilateral triangle.

$Inradius = \frac{\sqrt{3}}{6}*side$

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = $\frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3}$ square units

4 0

3 years ago

-2v3 + v75

Lena [83]

Answer:

a) $3\sqrt{3}$

Step-by-step explanation:

Step(i):-

Given - 2 √3 + √75

we know that 25 × 3 = 75

- 2 √3 + √75

= -2 √3 + $\sqrt{25 X 3}$

By using

$\sqrt{ab} = \sqrt{a} \sqrt{b}$

= $-2\sqrt{3} + \sqrt{25} X \sqrt{3}$

= $-2\sqrt{3} + 5 \sqrt{3}$

= $(-2 + 5 ) \sqrt{3}$

= $3\sqrt{3}$

3 0

3 years ago

Tom,Scott and dawn sold cookies at the school fair.

aleksklad [387]

First of all work out how many tom and scott sold.
tom sold 60% of 90 cookies which is 54.
scott sold 2/3 of 150 cookies which is 100.
altogether the three of them sold 54+100+46 cookies which is 200.
Dawn sold 46 of these 200 cookies. To work out the percentage we have both the numbers to get 23 out of 100. We halved those numbers because a percentage is out of 100 we halved it to get it out of 100.
so 23 out of 100 is 23% so dawn sold 23%of the cookies.

Hope this helps :)

3 0

3 years ago

What would the graph of the solution to the following inequality look like?

yan [13]

Answer: A. An OPEN circle on the number 5 and an arrow shading to the RIGHT.

6 0

3 years ago

Solve the division problem. Round answer to the nearest hundreth 9.2 divide 52.063