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mr Goodwill [35]
3 years ago
10

Help ME! solve for ∠K.

Mathematics
1 answer:
Ainat [17]3 years ago
3 0

Answer:

45

Step-by-step explanation:

Every Triangle has 180 degrees.

x + 8x + 3x = 180

12x = 180

x = 180/12

x = 15

Angle K = 3x

K = 3 * 15

K = 45

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Step-by-step explanation:

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First you plug in for x,

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3 years ago
use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3
NISA [10]

Answer:

Approximate solution is 541.

Step-by-step explanation:

y' = 2xy, Δx = 0.4.

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x       y            y'            y' Δx + y

1        2           4             4*0.4 +  2 = 3.6   <---this is the new y value.

1.4    3.6        10.08      7.632

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2.2  18.624   81.95      51.70

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3 0
3 years ago
Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is x dollar and cost of one popcorn is y dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)

Multiplying equation (1) by -3 , we will get.....

-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)

Now, adding equation (2) and equation (3) , we will get ............

5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75

Plugging this y=3.75 into equation (1) ......

2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75


6 0
3 years ago
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hram777 [196]

Answer: x=-1, 15

Step-by-step explanation:

x^2 -14x-15=0\\\\(x-15)(x+1)=0\\\\x=-1, 15

5 0
2 years ago
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