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maks197457 [2]
3 years ago
8

What is the length of leg s of the triangle below?

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

The question is not well formatted. A ell formatted version of the question type is attached and solved below :

Answer:

10

Step-by-step explanation:

Using trigonometry :

Taking the angle 45°

From trigonometry :

Sin θ = opposite / hypotenus

Opposite = s ; hypotenus = 10√2

Sin 45 = s / 10√2

Recall :

Sin 45 = 1/√2

We have ;

1/√2 = s / 10√2

s = 10√2 * 1/√2

s = 10√2 / √2

s = 10

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A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Write an expression to re
gizmo_the_mogwai [7]
Exponential growth of the form:

F=Ar^t

F=100(1.22)^t

F(5)=100(1.22)^5

F(5)=270.27

F(5)=270 to the nearest frog...

....

1.22=r^12

r=1.22^(1/12)

F=100(1.22^(1/12)^t)

F=100(1.22^(t/12))  now it will produce monthly populations...

Say we did the same as before but instead of 5 years you have 60 months...

F(60)=100(1.22^(60/12))

F(60)=270 to the nearest frog... :P 
6 0
3 years ago
4462 mm² in m²
Varvara68 [4.7K]

Answer:

0.004462m²

612000m²

0.0482m²

Step-by-step explanation:

Using the conversion

1mm² = 10^-6m²

4462mm² = x

Cross multiply

1 * x = 4462 * 10^-6

x = 4462 * 10^-6

x = 4.462 * 10^3 * 10^-6

x = 4.462*10^{3-6}

x = 4.462*10^-3

x = 0.004462m²

Hence 4462 mm² in m² is 0.004462m²

0.612 km² in m²

1km² = 10^6m²

0.612km² = y

Cross multiply

1 * y = 0.612 * 10^6

y = 0.612*1,000,000

y = 612000m²

Hence 0.612 km² in m² is 612000m²

482 cm² in m²

1cm² = 0.0001m²

482 cm²  = z

z = 482 * 0.0001

z = 0.0482m²

Hence 482 cm² in m² is 0.0482m²

6 0
2 years ago
A class of students were asked about their favourite genres of films.
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so sorry I don't know

6 0
2 years ago
Pls help 25h²- 16t² factorise it​
noname [10]

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

8 0
3 years ago
Read 2 more answers
Hello could anyone tell me what 12 plus 14 times 2000 divided by 13 is?
sveticcg [70]
The exact answer is 2,165.846153846154
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2 years ago
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