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elena-14-01-66 [18.8K]
4 years ago
15

Use the net to determine the total surface area.

Mathematics
1 answer:
vekshin14 years ago
8 0

The net shows an equilateral triangle with side length 24 cm.

The area of an equilateral triangle of side length s is ...

... A = (√3)/4·s²

Using the above side length, the area is

... A = (√3)/4·(24 cm)² = 144√3 cm² ≈ 249.4 cm²

Your best choice is the first one:

... A) 249.6 cm²

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The graphs below are based on government data on unemployment for 2017.
lord [1]

You already got the first two questions right: the group with the highest number of people unemployed / unemployment rate is the one with the highest bar in the respective histogram.

The two graph are related in this sense: take the first age group as reference. We know that 700 people from 16 to 19 are unemployed, and that those people represent 14% of the population, then we know that the 14% of the population between 16 and 19 is 700.

We can deduce that, if x is the number of people between 16 and 19, we have

\dfrac{14}{100}x=700 \iff \dfrac{7}{50}x=700 \iff \dfrac{x}{50}=100 \iff x=5000

So, by the relation between the two graphs, we can deduce the total population for each age group.

3 0
3 years ago
. Solve the right triangle ABC given that side c = 17 cm and side b = 15 cm.
AURORKA [14]
A^2 + b^2 = c^2
a^2 + 15^2 = 17^2
a^2 + 225 = 289
a^2 = 289 - 225
a^2 = 64
a = sqrt 64
a = 8 cm
4 0
3 years ago
Is 3.4 a rational number
Alex777 [14]
3.4 is a rational number, because it is not a repeating decimal 
5 0
3 years ago
Tell weather each of the following are linear, exponential or neither
madam [21]

Answer:

Step-by-step explanation:

10 is linear

This one is linear because a linear relationship moves at a constant rate

The table shows that y is moving at a constant rate of +3

11 is neither

This relationship is neither because its not moving at a constant rate and neither is it exponential

6 0
3 years ago
Write the prime factorization for 65,169
posledela

Let's try to find some primes that divide this number.

The number is not divisible by 2, because it is odd.

The number is divisible by 3 though, because the sum of its digits is:

6+5+1+6+9=27=3\cdot 9

So, we can divide the number by 3 and keep going with the factorization:

65169\div 3 = 21723

This number is again divisible by 3, because

2+1+7+2+3 = 15 = 3\cdot 5

We have

21723\div 3 = 7241

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

7241\div 13 = 557

And 557 is prime, so we're done. This means that the prime factorization of 65169 is

3^2\cdot 13 \cdot 557

8 0
3 years ago
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