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3 years ago

How many square feet of outdoor carpet will we need for this hole?

Mathematics

2 answers:

Llana [10]3 years ago

8 0

30 ft

Area= base*height ad you want the sum of the areas of each rectangle.

The top one had an are of 8 [4*2]
The middle one had an area of 12 [6*2]
The bottom one had an area of 10 [5*2]

8+12+10=30!

boyakko [2]3 years ago

6 0

First, break up the entire thing into smaller rectangles then find the area of all of those rectangles and add them together to get 30 square feet.

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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).

lesantik [10]

Answer:

(a).

$S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\$

(b).

from general equation:

$S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)$

first term is 4n

common difference:

$16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2}$

8 0

3 years ago

A total of 150 students have taken an Algebra 2 final exam. The scores are normally distributed with a mean of 71% and standard

WARRIOR [948]

Answer:

102 students

Step-by-step explanation:

Note that 65% and 71% are both 1 standard deviation from the mean (71%). According to the empirical rule, 68% of scores lie within 1 std. dev. of the mean.

68% of 150 students would be 0.68(150 students) = 102 students

3 0

3 years ago

Hello, can someone pls help me ty!

max2010maxim [7]

Answer:

C, 5/2

Step-by-step explanation:

3 I2x -1I + 4 = 16

Isolate absolute value:

3 I2x -1I + 4 - 4 = 16 - 4

3 I2x -1I= 12

(3 I2x -1I) / 3 = 12 / 3

I2x -1I= 4

Since the question is only asking for the positive, all you need to solve for is the +4. Solve for x

2x -1 = 4

2x -1 + 1 = 4 +1

2x = 5

2x / 2 = 5 / 2

x = 5/2 or C

7 0

3 years ago

X+3/12=2/7 plz <br> show work

Pachacha [2.7K]

35714286/1000000000, simplified is <span>17857143/500000000.</span>

5 0

3 years ago

1. Preliminaries Remember the setup: We (the RAF in World War II) want to know the number of warplanes fielded by the Germans. T

natima [27]

Answer:

N is a population parameter; the computation using an estimate of N is a statistic.

Step-by-step explanation:

A parameter is a measure of a population. The number of warplanes fielded total is N; this makes it the population. Thus N is a parameter.

A statistics is a measure of a sample. The number computed using an estimate of N would be based on a sample, since it is an estimate of N; this makes it a statistic.

8 0

3 years ago