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jarptica [38.1K]
3 years ago
15

A landscaper wants to create a 12-foot-long diagonal path through a rectangular garden. The width of the garden is x feet and th

e length of the garden is 4 more than the width.

Mathematics
2 answers:
dolphi86 [110]3 years ago
5 0

Answer:

Width of the rectangle =  6.7 ft

length of the rectangle = 10.7 ft

Step-by-step explanation:

ABCD is the rectangle.

AB = length of the rectangle = 4 + x ft

BC = width of the rectangle = x ft

AC = Diagonal of the rectangular field = 12 ft

Since ΔABC is the Right angle triangle. So

AC^{2} = AB^{2} + BC^{2}

12^{2} = (4 + x)^{2} + x^{2}

144 = x^{2} + 16 + x^{2} + 8 x

144 = 2x^{2} + 8x + 16

x^{2} + 4x -72 = 0

By solving above equation we get

x = 6.7 ft

Thus is the width of the rectangle.

And length of the rectangle = 4 + x

⇒ 4 + 6.7

⇒ 10.7 ft

muminat3 years ago
4 0

Answer:

6.2ft by 10.2ft :))

Step-by-step explanation:

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Which are the following statements is 6×7 = 42
Alex787 [66]

Answer:

A and B are both correct

Step-by-step explanation:

the definitions of the following words are:

factor- a number or quantity that when multiplied with another produces a given number or expression.

multiple- a number that can be divided by another number without a remainder.

6 multiplied with 7 equals 42

42 divided by 7 equals 6

another way of phrasing it:

7 and 6 are factors of 42

and

42 is a multiple of both 7 and 6

hope this helped!

8 0
2 years ago
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
denpristay [2]
The area is given by:
 A = Ab + Al
 Where,
 Ab: base area
 Al: lateral area
 The area of the base is:
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 Where,
 L: side of the hexagon.
 Substituting we have:
 Ab = (3/2) * (4 ^ 2) * (root (3))
 Ab = (3/2) * (16) * (root (3))
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 The lateral area is:
 Al = (6) * (1/2) * (b) * (h)
 Where,
 b: base of the triangle
 h: height of the triangle
 Substituting we have:
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 Answer:
 
A = 24raiz (3) + 72
7 0
3 years ago
Read 2 more answers
A survey of middle school students asked: What is your favorite winter sport? The results are summarized below:Favorite Winter S
Annette [7]

Answer:

a) 31.38%

b) 28.44%

c) 33.33%

d) 73.46%

e) 53.89%

Step-by-step explanation:

<h3>(See picture attached for sub-totals) </h3>

a) What is the probability of selecting a student whose favorite sport is skiing?

P = 171/545 = 0.3138 = 31.38%

b) What is the probability of selecting a 6th grade student?

P = 155/545 = 0.2844 = 28.44%

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P = 70/210 = 0.3333 = 33.33%

d) If the student selected prefers snowboarding, what is the probability that the student is a 6th grade student?

P = 155/211 = 0.7346 = 73.46%

e) If the student selected is an 8th grade student, what is the probability that the student prefers skiing or ice-skating?

P = 180/(171+163) = 180/334 = 0.5389 = 53.89%

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26.7 gallons of gas is the answer
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It’s five my friend.
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