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3 years ago

The measures of angle 1 and angle 2 are 30% and 45% of the sum of the angle measures of the triangle. Find the value of x. ASAP

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

7 0

Answer: x = 25%

Step-by-step explanation: 45% + 30% = 75%

75% + 25% = 100%

Rashid [163]3 years ago

5 0

Answer:

45°

Step-by-step explanation:

Sum of the angle measures of the triangle = 180°

30% of 180 = 0.3 * 180 = 54°

45% of 180 = 0.45 * 180 = 81°

Sum of all angles of triangle = 180°

54 + 81 + x = 180

135 + x = 180

x = 180 - 35

x = 45°

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siniylev [52]

Answer:

answer B $\boxed{ \ 569 \ }\\$

Step-by-step explanation:

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g(8)=9*8*8+4=580

f(8)+g(8)= -11+580=569

4 0

2 years ago

Consider the differential equation:

Wewaii [24]

(a) Take the Laplace transform of both sides:

$2y''(t)+ty'(t)-2y(t)=14$

$\implies 2(s^2Y(s)-sy(0)-y'(0))-(Y(s)+sY'(s))-2Y(s)=\dfrac{14}s$

where the transform of $ty'(t)$ comes from

$L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)$

This yields the linear ODE,

$-sY'(s)+(2s^2-3)Y(s)=\dfrac{14}s$

Divides both sides by $-s$ :

$Y'(s)+\dfrac{3-2s^2}sY(s)=-\dfrac{14}{s^2}$

Find the integrating factor:

$\displaystyle\int\frac{3-2s^2}s\,\mathrm ds=3\ln|s|-s^2+C$

Multiply both sides of the ODE by $e^{3\ln|s|-s^2}=s^3e^{-s^2}$ :

$s^3e^{-s^2}Y'(s)+(3s^2-2s^4)e^{-s^2}Y(s)=-14se^{-s^2}$

The left side condenses into the derivative of a product:

$\left(s^3e^{-s^2}Y(s)\right)'=-14se^{-s^2}$

Integrate both sides and solve for $Y(s)$ :

$s^3e^{-s^2}Y(s)=7e^{-s^2}+C$

$Y(s)=\dfrac{7+Ce^{s^2}}{s^3}$

(b) Taking the inverse transform of both sides gives

$y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]$

I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that $\frac{7t^2}2$ is one solution to the original ODE.

$y(t)=\dfrac{7t^2}2\implies y'(t)=7t\implies y''(t)=7$

Substitute these into the ODE to see everything checks out:

$2\cdot7+t\cdot7t-2\cdot\dfrac{7t^2}2=14$

5 0

3 years ago

I really need help with this please ! I don't understand it, and I have a quiz tomorrow

erik [133]

You can do this by finding a number close to it, and then finding out how to do it.

For example with 63(square root sign), find out what is close to it.

7x7=49 while 8x8=64

Because of this, we now know that it is between 7 and 8 but is also really close to 8.

Our number could be 7.9

Hope this helped!!!

3 0

2 years ago

Calculate the measure of angle D. Round to the nearest tenth.

Anton [14]

Answer:

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Step-by-step explanation:

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3 years ago

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inna [77]

Answer:

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Step-by-step explanation:

just took the test?

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3 years ago