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Lelu [443]
3 years ago
14

Work out the shaded area​

Mathematics
2 answers:
Alexeev081 [22]3 years ago
7 0

Answer:

  • 366 cm²

Step-by-step explanation:

<em>Refer to attached</em>

The ares consists of half-circle and a triangle

<u>Radius of circle:</u>

  • 22 cm/2 = 11 cm
  • Area = 1/2*3.14*11² ≈ 190 cm²

<u>Sided of the triangle:</u>

  • Base = 22 cm, height = 16 cm
  • Area = 1/2*22*16 = 176 cm²

<u>Total area:</u>

  • 190 + 176 = 366 cm²

yarga [219]3 years ago
4 0

Answer:

193.28 cm^2

Step-by-step explanation:

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Graph the points (0,-2), (4,0) and (2,0). If you want to create a parallelogram, which of the following points should used for t
MariettaO [177]

( 2 , - 2 )

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2 years ago
Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad to
Bogdan [553]

I believe you answer would be $4 + $0.85t =$9.95

5 0
3 years ago
Read 2 more answers
78 : 120 :: ? : 66<br>please give answer with explanation<br>​
yawa3891 [41]

Step-by-step explanation:

<u>Method</u><u> </u><u>1</u><u>:</u>

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

<u>Method</u><u> </u><u>2</u><u>:</u>

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

<u>Ans</u><u>w</u><u>er:</u> Hence the value of (?) for the given problem is 42.9.

<u>Verification</u><u>:</u>

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

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2 years ago
A bag contains 7 marbles, of which I is orange,
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Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F =
xxMikexx [17]

For F to be conservative, we need to have

\dfrac{\partial f}{\partial x}=\cos z

\dfrac{\partial f}{\partial y}=10y

\dfrac{\partial f}{\partial z}=-x\sin z

Integrate the first PDE with respect to x:

\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)

Differentiate with respect to y:

\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)

Now differentiate f with respect to z:

\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C

So we have

f(x,y,z)=x\cos z+5y^2+C

so F is indeed conservative.

8 0
3 years ago
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