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Natalija [7]
3 years ago
9

Find the area of the shape. 19 yd 5 yd 6 yd 9 yd The area is

Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

84

Step-by-step explanation:

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A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe
Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

  • Length of the Larger Rectangle =80+2w
  • Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.

6 0
3 years ago
A company uses this formula to work out the cost, £A, of a taxi ride.
velikii [3]

Answer:

£b = £1.68

A = £44.68

Step-by-step explanation:

Given:

A = 5 + 1.9m + b

Where,

A = total cost

m = number of miles travelled

£b = charge for booking online

£5 = fixed charge

A. Harry

A = £29.48

m = 12 miles

£b = ?

A = 5 + 1.9m + b

29.48 = 5 + 1.9(12) + b

29.48 = 5 + 22.8 + b

29.48 = 27.8 + b

29.48 - 27.8 = b

b = 1.68

£b = £1.68

b) If Sue books online and travels 20 miles, what will be

A = 5 + 1.9m + b

= 5 + 1.9(20) + 1.68

= 5 + 38 + 1.68

= 44.68

A = £44.68

7 0
2 years ago
A carpenter purchased 70ft of redwood and 70ft of pine for a total cost of $282. A second purchase, at the same prices, included
dedylja [7]
I think the answer is $2.01 per 1ft of redwood and pine

282/2
=141

$141/70ft ÷ 70/70
=$20.1 per 1ft
7 0
3 years ago
Write 5 7/8 as an improper fraction
Likurg_2 [28]
5 7/8 is 47/8

Because,

You multiply 5 and 8 and then add 7, then you keep the denominator.
6 0
3 years ago
Read 2 more answers
Evaluate the geometric series or state that it diverges. one ninth 1 9plus+startfraction 7 over 81 endfraction 7 81plus+startfra
olasank [31]
The series converges, and its sum is 1/2.

If r > 1, the series is divergent.  If r < 1, the series is convergent.  In our sequence, r, the common ratio we multiply by to get the next term, is 7/9; therefore it is convergent.

To find the sum of a convergent series, we use the formula
a/(1-r), where a is the first term and r is the common ratio.  We then have
1/9÷(1-7/9) = 1/9÷2/9 = 1/9×9/2 = 1/2
6 0
3 years ago
Read 2 more answers
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