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eimsori [14]
3 years ago
8

14. In the figure below, AABC-ADEF. Find the ratio DF 10 D ОА : OD Not link

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0
I think the answer is 1234566
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There is a L-shaped sidewalk that is 158 meters long. By cutting across the lawn, the
NikAS [45]

Answer:

Each side of the L-shaped sidewalk is 126 m and 32m respectively.

Step-by-step explanation:

Given:

Total length of the sidewalk = 158 meters

Cutting across the lawn the distance = 130 meters

The L-shaped lawn will be treated as a right angled triangle.

So the 130 m distance is the hypotenuse here.

Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.

Applying Pythagoras formula.

(Hypotenuse)^2=(height)^2+(base)^2

So,

⇒ (130)^2=x^2 +(158-x)^2

⇒ (130)^2=x^2+(158-x)(158-x)

⇒ 16900=x^2+24964-158x-158x+x^2

⇒ 16900 =2x^2-316x+24964

⇒ 2x^2+316x+24964-16900=0

⇒ 2x^2-316x+8064=0

⇒ x^2-158x+4032=0

Applying quadratic formula;

Quadratic formula : \frac{\pm b \sqrt{b^2-4ac} }{2a} where a=1 and b=-158 and c=4032

So the value of x= 126 and 32.

The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m

7 0
4 years ago
A pump adds 5 gallons to a storage pond every 2 minutes. How many minutes will it take to pump 20 gallons into the pond?
Bumek [7]
8 min=20 gal
50min= 125gal

7 0
3 years ago
Does somebody knows how to do this?
MrMuchimi

Answer:

Area of the triangle = 6x3/2=18/2=9cm²

now find semicircle then add

area of the semicircle= πr²/2=π6²/2=36π/2=18π

now add and you get

Area of the region = (18π+9)cm²

Step-by-step explanation:

5 0
3 years ago
Help?
Gre4nikov [31]
A = P(1 + r)^t is the interest formula
A = 1000(1 + .02)^t
A = 1000(1.02)^t
I'm not sure which of your two answers A or C have the t raised to a power but you need to choose the one with the t raised to a power.
6 0
3 years ago
Is (x − 2) a factor of f(x) = x3 − 2x2 + 2x + 3? Explain your reasoning.
Drupady [299]

Answer:

❌

Step-by-step explanation:

If (x-a) is a factor of a polynomial then the polynomial must equal zero .

Here's what I mean :

x - 2 = 0  

x = 2

(2)³-2(2)²+2(2) + 3 = 0 ❌

8 - 8 +4 +3 = 0 ❌

7 = 0 ❌

Hope this helped and have a good day

6 0
2 years ago
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