3 years ago

A circle with radius of 5 sits inside a 11×11 rectangle. What is the area of the shaded region?

Mathematics

1 answer:

BigorU [14]3 years ago

6 0

If the shaded region is the area inside the rectangle but outside the square, then the area is 121-25pi or 42.4602

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A trapezoid has an area of 95 square meters. If the bases are 7 meters and 12 meters what is the height of the trapezoid

Colt1911 [192]

ANSWER

The is 10 is meters

EXPLANATION

The area of a tra-pezoid can be calculated using the formula;

$Area= \frac{1}{2} \times (sum \: of \: bases) \times height$

We substitute the values to get,

$95= \frac{1}{2} \times (7 + 12) \times height$

$2 \times 95= 19 \times height$

$\frac{190}{19} = height$

$height = 10$

The height is 10 meters.

6 0

3 years ago

Solve the system: x' = (2 4 -1 6)x

sertanlavr [38]

Answer:

$x=e^{8t}+c$

Step-by-step explanation:

we have given x'=(24-16)x=8x

x' denotes the differenation

$\frac{dx}{dt}=8x$ differentiation is performed with respect to t

by variable separable method we can write

$\frac{dx}{x}=8dt$

on integrating both side

$lnx=8t+c$

$x=e^{8t}+c$ (property of log )

so the solution for x will be $x=e^{8t}+c$

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4 years ago

Here is an equation: 4x - 4 = 4x + _____. What could you write in the blank so the equation would be True for all values of x.

Musya8 [376]

It would be -4. subtracting a positive is the same as adding a negative

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3 years ago

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JulsSmile [24]

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3 years ago

Sarah is making flower bouquets that she will put in 10 vases. She will put 15 roses and some lilies in each vase. Which express

lesya [120]

Let, the number of Lilies in each vase = x
Then, expression would be: 10(15+x)
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So, final answer is 150+10x
Where, x = number of lilies.

Hope this helps!

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3 years ago

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