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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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Pachacha [2.7K]
1/3 and 5 is the answer. 
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3 years ago
Jasmine invests $2,658 in a retirement account with a fixed annual interest rate of 9% compounded continuously. What will the ac
Feliz [49]

Answer:

$10,253.04

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

A = Pe^{rt}

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, change 9% into a decimal:

9% -> \frac{9}{100} -> 0.09

Next, plug the values into the equation:

A=2,658e^{0.09(15)}

A=10,253.04

The account will have $10,253.04

4 0
2 years ago
Let U = {t,u,v,w.x,y,z). A = {w.y}, B = {v,w}, C = {t.x.v}, and D = {v.z.x.t,w}. Tell whether the statement below is true or fal
Licemer1 [7]

Given

Let U = {t,u,v,w.x,y,z). A = {w.y}, B = {v,w}, C = {t.x.v}, and D = {v.z.x.t,w}. Tell whether the statement below is true or false. U is the universal set.

Solution

A universal set (usually denoted by U) is a set which has elements of all the related sets, without any repetition of elements.Say if A and B are two sets, such as A = {1,2,3} and B = {1,a,b,c}, then the universal set associated with these two sets is given by U = {1,2,3,a,b,c}.

Since, set A, Set B, Set C and Set D are subset of Set U

Therfore, it is true Set

8 0
9 months ago
Find the x intercept of the line 2x-3y=-19
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Answer:

See below.

Step-by-step explanation:

Recall that the x-intercept is basically: (x,0).

In other words, we just need to substitute y with 0 in order to find the x-intercept.

Thus, we will have:

2x-3(0)=-19

2x=-19

x=-19/2

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25 square yards is the surface area
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