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avanturin [10]
4 years ago
11

Can someone help me with the question in the image. if correct i will mark as brainliest

Mathematics
2 answers:
choli [55]4 years ago
4 0

Answer:

a= 90.65

Step-by-step explanation:

4a+17.5+2.2-18.8-3.5=360

4a-2.6=360

4a=362.6

4a/4=362.6/4

a=90.65

Anit [1.1K]4 years ago
4 0

Answer: a=21

Step-by-step explanation:

a - 3.5 = 17.5

a = 17.5 + 3.5 = 21

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Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

Answer:

  • The shaded region is 9.83 cm²

Step-by-step explanation:

<em>Refer to attached diagram with added details.</em>

<h2>Given </h2>

Circle O with:

  • OA = OB = OD - radius
  • OC = OD = 2 cm

<h2>To find</h2>

  • The area of segment ADB.

<h2>Solution</h2>

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

  • They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.

Recall the property of 30°x60°x90° triangle:

  • a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of <u>sector:</u>

  • A = π(θ/360)r², where θ- central angle,
  • A = π*((mAOC + mBOC)/360)*r²,
  • A = π*((60 + 60)/360))(4²) =  16.76 cm².

Area of<u> triangle AO</u>B:

  • A = (1/2)*OC*(AC + BC),  AC = BC = OC√3 according to the property of 30x60x90 triangle.
  • A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²

The shaded area is:

  • A = 16.76 - 6.93 = 9.83 cm²

8 0
2 years ago
Reference attached image for the problem.Please show your work for finding the partial area.
-Dominant- [34]

To find the area of a sector of a circle use the next formula:

A=\frac{\theta}{360º}*\pi *r^2

As the given circle has a outside angle 90º (it is not part of the sector of the circle) subtract the 90º from 360º (total angle of a circle) to find the angle of the sector:

\theta=360º-90º=270º

Find the area of the sector with angle 270º:

\begin{gathered} A=\frac{270º}{360º}*3.14*(11in)\placeholder{⬚}^2 \\  \\ A=0.75*3.14*121in^2 \\  \\ A=284.955in^2 \end{gathered}Then, the approximate area of the given sector of a circle is 284.955 square inches
7 0
1 year ago
the sales tax rate in a city is 8%. Find the sales tax charged on a purchase of $800. Then find the total cost.
Svetradugi [14.3K]
64 dollars is the tax, the total cost would be $864.
Use this for percentages.
https://percentagecalculator.net/

7 0
3 years ago
PLEASE ANSWER THIS ASAP GOD LOVES YOU
MaRussiya [10]

Answer:

The area of the cross section would be 160in squared

Step-by-step explanation:

They are asking for the area of the cross section, the rectangle that is splitting the prism in half. Area=heightxwidth. So, you would just multiply 10x16 to get your answer, which would be 160.

5 0
3 years ago
I'm giving 30 points if you answer correctly!
soldi70 [24.7K]

Answer:

Part A: 64 (right-side 3th cell) and 7 (left-side 4th cell)

Part B: 5 hours- $45; 6 hours- $54; 8 hours- $72

Part C: $5 more

Step-by-step explanation:

Explanation for Part C- We know that if she works 5 hours mowing lawns, she will earn $40. But, when she works at the theme park we use the ratio given to find out how much she earn per hour. In her case she earns $9 for every hour she works at the theme park. now if you multiply that by 5 we can find out how much she earns in 5 hours which is $45. This is $5 more than what she earns mowing lawns for the same amount of time. Here we can conclude that Barbara earns $5 dollars more working at the theme park for 5 hours rather that mowing lawns.

If you can please name me the brainliest that would be much appreciated. Thanks and Good Luck!

 

4 0
3 years ago
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