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Andrew [12]
3 years ago
10

Calculate the area of the following figure. All measurements are in centimetres. Give answer to correct two decimal places.

Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

Step-by-step explanation:

The shape above is a composite shape having two different shapes like rectangle and semi- circle

Area of rectangle=Length × Breadth

Area of semi circle=1/2πr^2

To find the area of the rectangle naw

Length of the rectangle=6.6

Width of the rectangle=4

A=6.6×4

A=26cm^2

Area of semi-circle=1/2

Diameter of the shape =4cm

Radius=2cm

A=1/2×3.14×2cm x2cm

A=6.28cm^2

Area of the shape=26+6.28cm^2

Area=32.28 to 2 dp

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14(0.89)^x+4.5 =162
lisabon 2012 [21]
14(0.89)^{x + 4.5} = 162
\frac{14(0.89)^{x + 4.5}}{14} = \frac{162}{14}
0.89^{x + 4.5} = 11\frac{4}{7}
ln(0.89^{x + 4.5}) = ln(11\frac{4}{7})
(x + 4.5)ln(0.89) = ln(11\frac{4}{7})
\frac{(x + 4.5)ln(0.89)}{ln(0.89)} = \frac{ln(11\frac{4}{7})}{ln(0.89)}
x + 4.5 = -2101.14032500
x = 2105.64032500
3 0
3 years ago
Multiply and simplify the product.
lianna [129]
Multiplying complex numbers is a lot like multiplying binomial terms. The only relation one has to remember when dealing with complex numbers is that i² = -1.

Now let us try to multiply binomials. This is done by adding the products of the first term of the first binomial distributed to the second binomial, and the second term of the first binomial distributed to the second binomial. This is done below:

(<span>3 – 5i)(–2 + 4i)  = -6 + 12i + 10i -20i²
</span>
Simplifying and applying i²<span> = -1:</span>
-6 + 22i - 20(-1)
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5 0
3 years ago
Read 2 more answers
Solve the proportion 40/z+1 = 15/6
vovangra [49]

Answer:

<h2>z = 15</h2>

Step-by-step explanation:

\frac{40}{z + 1}  =  \frac{15}{6}  \\

<u>Cross multiply </u>

That's

15(z + 1) = 40(6) \\ 15z + 15 = 240

<u>Send 15 to the right side of the equation</u>

15z = 240 - 15 \\ 15z = 225

Divide both sides by 15

\frac{15z}{15}  =  \frac{225}{15}  \\

We have the final answer as

<h3>z = 15</h3>

Hope this helps you

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2 years ago
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kirza4 [7]

Answer:

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Step-by-step explanation:

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