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3 years ago

What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

Mathematics

1 answer:

krok68 [10]3 years ago

5 0

To find the area of the slice of pie, you will represent the part of the pie as 37/360 because this is the fractional part that was cut. Multiply this by the total area of the circle to get the area of this one slice.

A = 37/360 x pi x r^2
37/360 x 3.14 x 17.5^2
A = 98.8 square feet

The approximate area of the slice was 98.8 square feet. That is one big pie!!

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2x < 6<br><br> Plz help plzzzz

Nat2105 [25]

Answer:

2x < 6

x < 3

Step by step:

2x < 6

x < 3

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3 years ago

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The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown popula

umka21 [38]

Answer:

The answer is " $(25.32, 30.68)$ "

Step-by-step explanation:

Given:

$\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\$

When $98\%$ confidence level so, the z:

$\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\$

$E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})$

$= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68$

When 98% confidence interval estimate of the population mean is,

$\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\$

7 0

3 years ago

If AB = 8 and BC = 24, then AC =<br><br> If AB = 17 and AC = 68, then BC =

Kryger [21]

Answer:

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

$AC = AB + BC$

If we know that $AB = 8$ and $BC = 24$ , then:

$AC = 8 + 24$

$AC = 32$

The length of AC is 32 units.

(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

$AC = AB + BC$

$BC = AC - AB$