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ElenaW [278]
4 years ago
13

Work out the value of x​

Mathematics
1 answer:
Usimov [2.4K]4 years ago
3 0
The sum of all angles is 360°
We know that one of the angle is a right angle (90°)

360° = 90° + 3x + x
270° = 4x
270°/4 = x
67.5° = x

Therefore, the value of x is 67.5°
You might be interested in
Find the solution of the given initial value problem in explicit form. y' = (1 – 11x)y?, y(0) = -1 Enclose numerators and denomi
Tanya [424]

Answer:

y(x)=-e^{x-(\frac{11*x^{2} }{2}) }

Step-by-step explanation:

This is a separable equation. First divide both sides by y:

\frac{dy(x)}{\frac{dx}{y(x)} } =-11x+1\\\frac{dy}{y}=(-11x+1)dx

Integrate both sides:

\int\ \frac{dy}{y} \ =\int\ (-11x+1) \, dx

log(y)=-(\frac{11*x}{2} )+x+ c_1

Solve for y taking exp to both sides:

y(x)=c_1*e^{x-(\frac{11*x^{2} }{2}) }

Where c_1 is an arbitrary constant

Evaluating the initial condition:

y(0)=c_1*e^{0-(\frac{11*0^{2} }{2}) } =-1

c_1*e^{0} =-1\\c_1*1=-1\\c_1=-1

Finally, replacing c_1 in the differential equation solution:

y(x)=-e^{x-(\frac{11*x^{2} }{2}) }

8 0
3 years ago
Solve the system using elimination. y – x = 13 7y + x = 11
Eva8 [605]

Answer:

x= -10 ; y= 3

Step-by-step explanation:

see the picture

6 0
3 years ago
Which angles are vertical angles?
inn [45]

Answer:

it's between BCF/DCA and BCF/BCA

8 0
3 years ago
Which could be the graph of the function?
Sedbober [7]

The graph of the function y = sin 0.5x is option A. This can be obtained by using period of the graph function.

<h3>Which is the required graph?</h3>

Periodic function is a function that repeats at uniform intervals; the time interval between two waves is called the period.

  • A function f will be periodic with period n,

f (a + n) = f (a), ∀ n > 0.

After first n the function is same that is f(a), after second function is the same, the function is repeated with an interval of n.

  • For example: the period of sin a is 2π  for the reason that the smallest number satisfying sin (a + 2π) = sin a is 2π, for all a.

Therefore the formula for period of a function is 2π/|B| when the function is y = A sin(Bx + C) and y = A cos(Bx + C).

For a function y = sin bx, period is given by,

P = 2π/b

Here function is y = sin 0.5x, therefore b = 0.5

P = 2π/0.5

  =20π/5

  = 4π

Period is 4π. The first graph has period 4π.

Hence the graph of the function y = sin 0.5x is option A.

Learn more about period of graph:

brainly.com/question/19500808

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Which could be the graph of the function y = sin 0.5x?

4 0
2 years ago
a salmon can swim 37.5 meters in 3 seconds. A swordfish can swim 3,204 meters in 2 minutes. which fish swims faster? explain
andre [41]

Answer:

The salmon can swim faster.

Step-by-step explanation:

The salmon can swim faster BECAUSE, if you multiply 37.5x60 (60 stand for seconds, and 60 seconds is a minute) it equals to 2250. If you do 2250x2, that equals 4500, and the 2 is two minutes. The swordfish swims 3,204 meters in 2 minutes, and the salmon swims 4500 meters in 2 minutes. Therefor, the salmon is faster.

7 0
3 years ago
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