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LUCKY_DIMON [66]
3 years ago
11

In the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

No

Step-by-step explanation:

If GH is tangent to circle F, then it forms a right angle with FG.  Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

34² + 256² = 288²

66692 = 82944

The sides are not a Pythagorean triple, so GH is not tangent to the circle.

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A square park is 75 m long. Find the area of the park.<br>​
Inga [223]
5625 m^2

If is is square, all sides must be congruent (all sides are 75m). To find area, you multiply width x length (how long). Therefore:

75m x 75m = 5626 m^2
3 0
3 years ago
What is the fewest number of quarters, nickels, and pennies that can be fairly exchanged for 2 quarters, 6 nickels, and 9 pennie
adoni [48]

Answer:

Your answer is 3 quarters, 2 nickels, and 4 pennies

Step-by-step explanation:

2 quarters plus 6 nickels plus 9 pennies is equal to 89 cents. So if we subtract 75(3 quarters) we get 14 which is less than 25 therefore we must only use nickels and pennies from now on. If we take 14 and subtract 10(2 nickels) we get 4 which less than 5 leaving us only to use pennies, which one a piece so it must be 4 pennies. Hope this helps!

4 0
3 years ago
I need help pls help me
lutik1710 [3]

First Method:

Round \frac{3}{5} to the closest integer, which is 1.

Round \frac{3}{4} to the closest integer, which is also 1.

So 1 + 1 = 2.

Answer for method 1: 2

Second Method:

\frac{3}{5} + \frac{3}{4} = \frac{3*4}{5*4} + \frac{3*5}{4*5}  = \frac{12}{20}+\frac{15}{20}=\frac{27}{20}

\frac{27}{20} is around 1

Answer for method 2: 1

The closest answer is 1.

3 0
2 years ago
A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak.
steposvetlana [31]
54, 36, 24 are the 1st 3 element of a geometric progression with 2/3 as a common ratio: PROOF:
the 1st term is 54, (a₁= 54) the 2nd term a₂ = 24, then
(a₂ = a₁.r) or 36 = 54.r → r= 36/54 = 2/3. Same logique for the 3rd term. 
So 2/3 is common ratio. We know that :U(n) = a.(r)ⁿ⁻¹. Then if a =54 and r = x (given by the problem), then f(x) = 54.xⁿ⁻¹
n, being the rank of any element of this geometric progression

7 0
3 years ago
Read 2 more answers
Yosef can eat 21 jamuns while Rose can eat just 15.
Gennadij [26K]

Answer:

40%

Step-by-step explanation:

1+.40=1.4

1.4 x 15 = 21

7 0
3 years ago
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