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Basile [38]
3 years ago
5

6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

length = 20 ft, width = 11 ft

Step-by-step explanation:

let w be width, then length = w + 9

The opposite sides of a rectangle are equal , then

2w + 2(w + 9) = 62

2w + 2w + 18 = 62

4w + 18 = 62 ( subtract 18 from both sides )

4w = 44 ( divide both sides by 4 )

w = 11

and w + 9 = 11 + 9 = 20

then width = 11 ft and length = 20 ft

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Step-by-step explanation:

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3 years ago
In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.
dem82 [27]

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

∴ s² = t² + r² - 2 × t × r × cos∠S

∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

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∴ s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

3 0
2 years ago
Read 2 more answers
Can someone help me and tell me where it’s located at I will mark u brilliant
vodomira [7]

Answer: You can do this!

Step-by-step explanation: For D. The x= -1 and the y= 1 for E same thing the x= 7 and the y= 1 so look for the 7 on the x-axes and the one on the y-axes get it. I believe that you got this!

Hope this helped love<3

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2 years ago
I need help on figuring out the two ways.
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I believe the diagonals would be perpendicular. So if it's on a graph/coordinate plane the slopes would be opposite. And all the sides would be the same length/2 sets are parallel/same slope
4 0
3 years ago
A tour director collected $258 for 13 tour packages. tour package a costs $18 and tour package b cost $22. how many of each tour
valkas [14]
A + b = 13
22 a + 18 b = 258
------------------------
a = 13 - b
22 * ( 13 - b ) + 18 b = 258
286 - 22 b + 18 b = 258
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b = ( - 28 ) : ( - 8 ) = 7
a = 13 - 7 = 6
Answer:
6 tour packages a and 7 tour packages b were sold.
7 0
3 years ago
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