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Ugo [173]
2 years ago
14

The side lengths of △JKL are 60 cm, 80 cm, and 100 cm.

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
4 0

Answer:

2nd option

Step-by-step explanation:

using the converse of Pyhagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 100 , then 100² = 10000

60² + 80² = 3600 + 6400 = 10000

then

60² + 80² = 100²

thus the triangle is right

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The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,
galina1969 [7]

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

8 0
3 years ago
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after
Len [333]

Answer:

B.120 feet

Step-by-step explanation:

12 × 20 × 10 = 120

4 0
3 years ago
If f(x) =3^x+10 and g(x) =4x -2 find (f+g)(x)
Valentin [98]

Answer:

(f+g)(x)=3^x+4x+8

if f(x)=3^x+10 and g(x)=4x-2.

Step-by-step explanation:

We are given f(x)=3^x+10 and g(x)=4x-2.

We are asked to find (f+g)(x).

(f+g)(x) means f(x)+g(x)

(f+g)(x)=(3^x+10)+(4x-2)

You only have one pair of like terms, that is the constants.

(f+g)(x)=3^x+4x+10-2

(f+g)(x)=3^x+4x+8

7 0
3 years ago
Read 2 more answers
What is the number three and eight tenths as a decimal.
natali 33 [55]

Answer:

3.8

Step-by-step explanation:

3 8/10 can be written as 3.xx because all we have to do is 8 divided by 10 which equals .8 so 3+.8=3.8

7 0
2 years ago
What is the circumference of a circle when the diameter is 8cm?
loris [4]

Answer:

C = 25.13cm

C = π d = π · 8 ≈ 25.13274cm

3 0
3 years ago
Read 2 more answers
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