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olga55 [171]
4 years ago
5

What is the value of y?

Mathematics
1 answer:
VikaD [51]4 years ago
5 0

The answer is 57 because using remote angles theorem you get the largest angle equals to 66 degrees but you are not done yet you have to subtract 66 from 180 because of sum of angles in a triangle so you get 114 degrees and since you have an isosceles triangle you have to divide by two to get y so y = 57 degrees

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(a) For what values of k does the function y = cos kt satisfy the differential equation 4y" = -25y?(b) For those values of k, ve
zalisa [80]

a. y=\cos kt\implies y''=-k^2\cos kt

Substituting these into the ODE gives

-4k^2\cos kt=-25\cos kt\impliesk^2=\dfrac{25}4\implies k=\pm\dfrac52

b. y=A\sin kt+B\cos kt\implies y''=-k^2A\sin kt-k^2B\cos kt

If k=\dfrac52, then

4\left(-\dfrac{25}4A\sin\dfrac52t-\dfrac{25}4B\cos\dfrac52t\right)=-25\left(\sin\dfrac52t+\cos\dfrac52t\right)

as required, and the same can be said for k=-\dfrac52. (Note that \sin(-x)=-\sin x and \cos(-x)=\cos x.)

6 0
4 years ago
Jim bought a house fiir $125,000.He paid $12,500 down and the rest in equal monthly payments over thirty years.find the amount o
Alexandra [31]
Your answer would be 312.50. you would first subtract 125,000 and 12,500 and that equals 112500. you than divide that from 360 and than you get 312.50.
6 0
3 years ago
Fiona can make 8 cards in 1/2 hour. She divides to find the number of cards she can make per hour, but she makes a mistake. Thre
OlgaM077 [116]

Answer:

16 cards in 1 hour

Step-by-step explanation:

8 cards, 1/2 hour

16 cards in 1 hour

Make a proportion.

8/30min= x/60min

Solve the proportion by cross- multiplying.

30x=480

3x=48

x=16

6 0
3 years ago
How do you can you solve this problem 37 + y = 87; y =
Airida [17]
37+y=87
y=87-37
y=50
............................
3 0
3 years ago
Read 2 more answers
I really need help on this problem can i get help on how to solve the problem please
Jobisdone [24]
You cannot assume that the angles are equal. there is no angle measure and nothing to say the lines are parellel.
7 0
3 years ago
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