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4 years ago

The sector of a circle with a diameter of 20 inches has a central angle measure of 36°. What is the area of the sector?

1 answer:

4 0

We need the radius to find the area of sector.

radius = 20/2 = 10

Area of sector:

πr²(x/360) = x is the central angle in degrees.
π(10)²(36/360)
10π in²

Hope this helps :)

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deff fn [24]

Answer:

b = 12

Step-by-step explanation:

b/3 + 4 = 8

subtract 4 on both sides

b/3 = 4

multiply 3 with 4

b = 12

4 0

3 years ago

Which of these is a correct statement?

Montano1993 [528]

Answer:

the answer is B because it has only one unknown and also it is a linear equation so it will have only one answer which is (2 )

6 0

3 years ago

Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with sides of lengths 119, 147,

stiks02 [169]

Answer:

$87,461

Step-by-step explanation:

Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft

where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.

S = (119 + 147 + 190) / 2 = 456/ 2 = 228

Using Heron's formula which gives the area in terms of the three sides of the triangle

= √s(s – a)(s – b)(s – c)

Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)

=> √228 (109)(81)(38)

= √228(335502)

=√76494456

= 8746.1109071 * $10

= 87461.109071

≈$87,461

Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.

6 0

3 years ago

What is the answer for Expanding <br> 2t(6t-3)

Jlenok [28]

Answer:

Step-by-step explanation:

12t2 - 6t

8 0

3 years ago

A fish story: The mean length of one-year-old spotted flounder, in millimeters, is 127 with standard deviation of 22, and the me

pishuonlain [190]

Answer:

The z-score for this length is of 1.27.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

One-year-old flounder:

Mean of 127 with standard deviation of 22, which means that $\mu = 127, \sigma = 22$

Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length

This is Z when X = 155. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{155 - 127}{22}$

$Z = 1.27$

The z-score for this length is of 1.27.

4 0

3 years ago