The diagram shows a sector of a circle radius 10 cm.
Find the area of the sector, giving
your answer correct to 1 decimal place.
135°
10 cm
please give the working out aswell !!
Answers
Answer:
Area of sector = 117.6 cm²
Step-by-step explanation:
Radius of sector r = 10 cm
Angle Ф = 135°
We need to find Area of sector
The formula used is: [tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]
Where Ф is the angle, and r is the radius.
Putting values and finding area of sector
[tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}\\Area\:of\:Sector=\frac{135}{360}\times 3.14 (10)^2\\Area\:of\:Sector=0.375 \times 3.14 \times 100\\Area\:of\:Sector=117.75[/tex]
Now, rounding off answer to 1 decimal place:
[tex]Area\:of\:Sector=117.6\: cm^2[/tex]
So, Area of sector = 117.6 cm²
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Rewrite the function y = 2(x – 4)^2 – 5 in standard form.
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Answer:
y=2x2−16x+27
Step-by-step explanation:
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Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =
TY
XY
TX
Answers
Answer:
As
ST is corresponding to XY
Hence, we conclude that:
ST = XYStep-by-step explanation:
Given
△RST ≅ △TXY
To determine:
ST = ?
As
△RST ≅ △TXYSo the triangles △RST and △TXY are congruent to each other.
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ST = XYHelp pls!! Find the value of DB and AE
Answers
Answer:
B
Step-by-step explanation:
x=2
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3(2) + 10
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plz brainliest
Answer:
16, 32
Step-by-step explanation:
BD is midsegment of the ΔACE ⇒ 16x = 2(3x + 10)
16x - 6x = 20 ⇒ x = 2
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The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answers
Step-by-step explanation:
Write equation. Let o be original price, r be rate of increase, P be the increased price. o+ro=P
Substitute values. Original price (o) is unknown, so that will stay as it is; we know that the increased price (P) is 162; we know that the rate of increase (r) is 20%, which in decimal form is 0.20 o+0.20o=162
Add like terms. o is the same as 1o. So 1+0.20 is 1.20. 1.20o=162
Isolate the variable (o). To isolate o, you need to divide both sides by 1.20. 1.20 divided by 1.20 is the same as 1. 162 divided by 1.20 is 135. o=135
Check your work. Plug in the values into the equation and check if it is correct: o+ro=P becomes (135)+(.20)(135)=162. That is simplified into 135+27=162, which is further simplified into 162=162
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Answer:
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Step-by-step explanation:
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£162 - £32.40 = £129.60
Need help cant find the right answer for this one
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Step-by-step explanation:
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hope it help....
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Answer:
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I would appreciate a brainliest!
Have a nice day :D
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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*I believe I'm correct, but I would recommend a quick double-check
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Step-by-step explanation: