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Ratling [72]
3 years ago
11

In circle G with m \angle FGH= 42m∠FGH=42 and FG=6FG=6 units find area of sector FGH. Round to the nearest hundredth.

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

The area of the sector with a radius of 6units and an angle of 4 degrees rounded to the nearest hundredth is 13.19 square units

<h3>How to find the area of a sector?</h3>

The sector is a part of a circle with an angle subtended at the centre. The formula for calculating the area of a sector is expressed as:
A = r²Ф/2

where:

r is the radius

Ф is the subtended angle

Given the following

r = 6 units

Ф = 42degres

<h3>Substitute</h3>

Area of the sector = 6²/2 * 42/180 π
Area of the sector = 13.188units

Hence the area of the sector rounded to the nearest hundredth is 13.19 square units

Learn more on area of sector here: brainly.com/question/22972014

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Choose the solution set represented by the following graph.
Ivan

Answer:

{x | x∈ R, x < -2}

Step-by-step explanation:

Given

See attachment for graph

Required

Determine the inequality

From the attachment, we can see that there is an open circle or -2.

This represents either < or >

<u>Solving further:</u>

The arrow points to the left of -2.

This means that the number line represents numbers less than -2. i.e. < -2

If the numbers are represented with x.

The inequality is: x < -2

So, we have:  {x | x∈ R, x < -2}

3 0
3 years ago
What kind of force can an. Elastic material exert
marusya05 [52]

Answer:

i hope this helps "Elasticity is the ability of a material to return to its original shape after being stretched or compressed. When an elastic material is stretched or compressed, it exerts elastic force. This force increases the more the material is stretched or compressed."

Step-by-step explanation:

7 0
3 years ago
Another path in the community is 2.4 miles long. It has benches at 1/3 And 2/3 of the distance from beginning to end of the path
antoniya [11.8K]

Answer:

  the benches are 0.8 and 1.6 miles from the ends of the path

Step-by-step explanation:

The first bench is 1/3 of the path's length from the beginning of the path:

  (1/3)×(2.4 mi) = (2.4/3) mi = 0.8 mi

The second bench is 2/3 of the path's length from the beginning of the path:

  (2/3)×(2.4 mi) = (2.4×2/3) mi = 4.8/3 mi = 1.6 mi

The benches are 0.8 mi and 1.6 mi from the beginning of the path.

_____

Of course, 0.8 mi from the beginning is 2.4-0.8 = 1.6 mi from the end, and vice-versa.

5 0
3 years ago
15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 +5% sales tax what was the t
Artist 52 [7]

Answer:

$478.80

Step-by-step explanation:

We have been given that 15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 plus 5% sales tax.

First of all, we will find cost of each meal with tax as:

\text{Cost of each meal with tax}=\$12+\$12\times \frac{5}{100}

\text{Cost of each meal with tax}=\$12+\$12\times 0.05

\text{Cost of each meal with tax}=\$12+\$0.6

\text{Cost of each meal with tax}=\$12.6

Now, we will find total persons at the sport banquet as:

\text{Total persons at banquet}=15+2+21

\text{Total persons at banquet}=38

To find the total cost of food for the banquet, we will multiply cost of food for each person by 38.

\text{Total cost of food for the banquet}=\$12.6\times 38

\text{Total cost of food for the banquet}=\$478.8

Therefore, the total cost of food for the banquet is $478.80.

5 0
3 years ago
Could someone please help. The given sides are 25 at the left, 35 at bottoms, 5 at the right. Thank you :)
NeTakaya

Answer:

120 cm

Step-by-step explanation:

If you rearrange the lines you will get a rectangle whose sides are 25 cm and 35 cm.

To get a triangle, move the lines inside the rectangle keeping them parallel to the lines in front of them.

Let P the perimeter of the rectangle:

P = 25*2 + 35*2 = 50+70 = 120 cm

6 0
4 years ago
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