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aleksklad [387]
2 years ago
5

Find the area of this semi-circle with diameter, d = 85cm.

Mathematics
1 answer:
yarga [219]2 years ago
5 0

Answer:

5674.5cm²

Step-by-step explanation:

YOUR WELCOME DUDE!

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What is the standard form of the points (-3,4) (2,-6)
Bas_tet [7]

The standard form equation of the line connecting the two points is 2x +  y = -2

Linear equation in a standard form is given as Ax + By = C

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

where,

(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)

Substitute

slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2

Step 2: Find the y-intercept (b) of the line by substituting (x, y) = (-3,4) and m = -2 into y = mx + b (slope-intercept form)

4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2

Step 3: Write the equation of the line in slope-intercept form by substituting m = -2 and b = -2 into y = mx + b

y = -2x + (-2)\\y = -2x - 2

Step 4: Rewrite the equation in standard form (Ax + By = C)

y = -2x - 2\\

Add 2x to both sides

2x + y = -2x - 2 + 2x\\2x +  y = -2

The standard form equation of the points (-3,4) and (2,-6) is 2x +  y = -2

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

6 0
3 years ago
The following are the distances (in miles) to the nearest airport for 12 families. 6, 7, 8, 8, 16, 19, 23, 24, 26, 27, 34, 35 No
AveGali [126]

Using it's definitions, the five-number summary and the interquartile range for the data-set is given as follows:

  • Minimum: 6
  • Lower quartile: 8
  • Median: 21.
  • Upper quartile: 27
  • Maximum: 35
  • Interquartile range: 19

<h3>What are the median and the quartiles of a data-set?</h3>

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.
  • The interquartile range is the difference of the third quartile and the first quartile.

This data-set has 12 elements, which is an even number, hence the median is the mean of the 6th and 7th elements, as follows:

Me = (19 + 23)/2 = 21.

The first quartile is the median of 6, 7, 8, 8, 16, which is the third element of 8.

The third quartile is the median of 23, 24, 26, 27, 34, 35, which is of 27. Hence the interquartile range is of 27 - 8 = 19.

The minimum is the lowest value in the data-set, which is of 6, while the maximum is of 35, which is the largest value in the data-set.

More can be learned about the five-number summary and the interquartile range at brainly.com/question/3876456

#SPJ1

4 0
2 years ago
The ratio of lollipops to pieces of bubble gum at the party is 2 to 3. There are 24 lollipops. ​ ​What is the total number of lo
disa [49]

Answer: 40

Step-by-step explanation: first make the ratio into a fraction, 2/3

then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24

then cross multiply 2 and 24.

2x24=48

then divide 48 by 3, 16.

last add the number of lollipops to 16 and the answer is 40.

5 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (4, 5) and (6,4)
Dahasolnce [82]

Answer:

-1/2

Step-by-step explanation:

y2-y1       4-5           -1

--------- = --------  = --------

x2-x1        6-4         2

7 0
3 years ago
Jakob is working on his math homework. He decides that the sum of two rational numbers is
xeze [42]

Answer:

yes because  rational numbers are   rational. they stay the same

Step-by-step explanation:

7 0
3 years ago
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