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3 years ago

Find the Area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.

Mathematics

1 answer:

Allisa [31]3 years ago

6 0

Answer:

21.8

Step-by-step explanation:

hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.

area of circles are πr^2, so in this situation

π4^2 which is 16π.

with this, the semicircle which is half a circle would give us

16π/2 which is 8π.

but then, we have two semicircles removed so we would have as an answer:

(9*8)-8π+8π

72-16π

then you would have to round so

16π is around 50.2

so 72-50.2 is 21.8

i hope this helped you <33

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(Complex Numbers)

marta [7]

Answer:

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6 0

4 years ago

What is the slope of the line that passes through (-2,5) and (1,4)? -3 -2 -1/3 1/3

SIZIF [17.4K]

slope = m=(y2-y1)/(x2-x1)

m= (4-5)/(1-(-2))

m= -1/(1+2)

m=-1/3

Choice C

7 0

4 years ago

Find the values of the 30th and 90th percentiles of the data. Please show your work.

MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= $100,100,105,113,129,132,146,176,200$

The 30th percentile is located at

$(\frac{30}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = $\frac{105+113}{2}=\frac{218}{2}=109$

The 90th percentile is located at

$(\frac{90}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = $\frac{176+200}{2}=\frac{376}{2}=188$

6 0

3 years ago

Question is below!!!!

wariber [46]

Answer:

Order the numbers from least to greatest.

75, 83, 89, 94, 98, 101, 105, 108, 111, 122, 125, 130

Minimum is 75

Q1 is 91.5

The median is 103.

Q3 is 116.5

Maximum is 130

Now, look at the answer choices.

B has the incorrect median

D has incorrect Q1.

A has incorrect Q3.

C is the answer.

3 0

3 years ago

The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution.

leonid [27]

The negative solution is x = –1.

Solution:

Let the number be x.

Square of a number = x²

3 times a number = 3x

Difference of square of a number and 4 = 3 times that number

$\Rightarrow x^2-4=3x$

Subtract 3x from both sides of the equation, we get

$\Rightarrow x^2-3x-4=0$

–3x can be written as x – 4x.

$\Rightarrow x^2+x-4x-4=0$

$\Rightarrow( x^2+x)+(-4x-4)=0$

1st bracket have common term x and bracket have –4 common term.

$\Rightarrow x( x+1)-4(x+1)=0$

Take common term x + 1 outside.

$(x+1)(x-4)=0$

By zero factor principle, if AB = 0 then A = 0 or B = 0.

x + 1 = 0, x – 4 = 0

x = –1, x = 4

The negative solution is x = –1.

7 0

4 years ago