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allochka39001 [22]
3 years ago
12

*Help ASAP Please! Studying for finals and I'm stuck on this question!*

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2

If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12

Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).

I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
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Hellpp please and thank……………
olganol [36]

Answer:

a1 = 2

a2 = 6 = 2.3 = a1.3

a3 = 18 = a1.3²

a4 = 54 = a1.3³

=> this is a geometric sequence with a1 = 2

q = 3

=> a11 = 2.3¹⁰ = 118098

5 0
3 years ago
use a method of completing the square in order to rewrite the function f(x)=x^2+5x-2 in vertex form, f(x)=a(x-h)^2+k where (h,k)
yuradex [85]
      f(x) = x² + 5x - 2
f(x) + 2 = x² + 5x - 2 + 2
f(x) + 2 = x² + 5x
f(x) + 2 = x(x) + x(5)
f(x) + 2 = x(x + 5)
      f(x) = x(x + 5) - 2
   (h, k) = (-5, 2)
6 0
4 years ago
Translate to Algebra
Fantom [35]
Answer is 2x-2

Explanation
7 0
3 years ago
The present population of a town is 2024800. It the rate of growth population is 5% per year per year. Find the Increased popula
lakkis [162]

Answer:

<h2><em>2232342</em></h2>

Step-by-step explanation:

2024800 : 100 * 5 = 101240

2024800 + 101240 = 2126040

2126040 : 100 * 5 = 106302

2126040 + 106302 = 2232342

in the first year, it increases by 5% of the original number, making the population at the end of that year 2 126 040. Then, the second year, it will increase by 5% of  2 126 040. This means that the final product or population after 2 years would be 2232342.

7 0
3 years ago
Use the Law of Sines to solve the triangle. Round your answers to two decimal places. A = 38°, B = 73°, c = 23.6 C = ° a = b =
Sonja [21]

Answer:

The solution for the triangle is 1.62 a = 1.04 b = 0.59 c

Step-by-step explanation:

Given as :

The value of ∠A = 38°

The value of ∠B = 73°

The value of ∠C = 23.6°

Now, Applying Law of Sines

I.e \frac{a}{Sin A} =  \frac{b}{Sin B} =  \frac{c}{Sin C}

Or, \frac{a}{Sin 38°} =  \frac{b}{Sin 73°} =  \frac{c}{Sin 23.6°}

Or, \frac{a}{0.6156} =  \frac{b}{0.9563} =  \frac{c}{0.4003}

Or, 1.62 a = 1.04 b = 0.59 c

So, The solution for the triangle is 1.62 a = 1.04 b = 0.59 c

Hence The solution for the triangle is 1.62 a = 1.04 b = 0.59 c    Answer

5 0
3 years ago
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