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Karo-lina-s [1.5K]
2 years ago
6

Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must

be as large as possible.
Mathematics
1 answer:
Roman55 [17]2 years ago
5 0

Answer:

The largest possible area of the deck is 87.11 m² with dimensions;

Width = 9.33 m

Breadth = 9.33 m

Step-by-step explanation:

The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square

Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area

The length of the given railing = 28 m

The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each

The area of a square of side s = s²

The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;

Width = 28/3 m = 9.33 m

Breadth = 28/3 m = 9.33 m.

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ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
GalinKa [24]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of \frac{1}{2} to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = \frac{1}{2} of the sides of ΔABC

Area of ΔA'B'C' = \frac{1}{2}(\text{Area of triangle ABC})

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

3 0
1 year ago
Mitchell's family is slow cooking 2 3/4 pounds of meat. The recipe says to cook the meat 1 1/2 nours per pound,
nlexa [21]

Answer:

C

Step-by-step explanation:

Multiply the 1.5 hours per pound by 2.75 pounds and we get 4.125 hours or    4 1/8

6 0
2 years ago
Read 2 more answers
How many six-digit odd numbers are possible if the leftmost digit cannot be zero
Romashka [77]
For the leftmost digit there are 9 possibilities! 
4 0
2 years ago
A social media platform states that a social media post from a marketing agency has 7 hashtags, on average. A digital marketing
dimaraw [331]

Answer:

a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.

Step-by-step explanation:

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.

This means that at the null hypothesis, we test if the mean is 7, that is:

H_0: \mu = 7

A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.

Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:

H_1: \mu \neq 7

Thus, the correct answer is given by option a.

4 0
1 year ago
During the 2008-2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to$14.42 trillion in 2009. What i
Bad White [126]

Answer:

2.04

Step-by-step explanation:

The GDP of USA IN 2008 = $14.72 trillion

The GDP of USA IN 2009 = $14.42 trillion

Change in GDP

$14.72 trillion- $14.42 trillion = $0.3 trillion

Percentage Change

($0.3 trillion/$14.72 trillion) x 100%

0.02038 X 100% = 2.038=2.04 approximately

4 0
2 years ago
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