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rosijanka [135]
3 years ago
11

Find the hypotenuse of a 45-45-90 triangle with legs equal to 7

Mathematics
2 answers:
madam [21]3 years ago
5 0

Answer:

Square root of 98

Step-by-step explanation:

bija089 [108]3 years ago
5 0

Answer:

9.9

Step-by-step explanation:

We know each leg is 7 and the square of both of these will equal the square of the hypotenuse:

7^2=49\\49\times2=98\\\sqrt[2]{98}=9.9

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Emilio bought an ant farm that had 15 ants in it already. He read somewhere that
Nina [5.8K]

The number of ants in his farm after 12 weeks is 218.

Step-by-step explanation:

Step 1:

It is given that there are 15 ants initially and the ant population increases by 25% each week.

This is an exponential rate of increase that can be modeled by the following equation:

Number of ants after n weeks = Initial number of ants * (1 + rate of increase) ^{n}

Step 2:

Rate of increase = 25% = 25 / 100 = 0.25

Number of weeks = 12

Number of ants  after 12 weeks = 15* (1 + 0.25 )^{12} = 218.27 (rounded off to 218)

Step 3:

Answer:

The number of ants in his farm after 12 weeks is 218.

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2 years ago
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3 years ago
A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

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18cm = 2.5r + 2r

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