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3 years ago

Can someone help me with this thing - Thanks!

Mathematics

2 answers:

Travka [436]3 years ago

8 0

Triangle has angles of 90°, 45° and 45° , therefore it's an isosceles right triangle, so the legs have the same length.

Let x be a leg.
 $sin(45^o)= \frac{opposite}{hypotenuse} = \frac{x}{24} \ \ \to \\ \\ x = 24*sin(45^o) = 24 * \frac{ \sqrt{2} }{2}=12 \sqrt{2}$ 

Answer: D.

Ivahew [28]3 years ago

7 0

That's an isosceles right triangle. It got equal legs and it's half of a square. Finding the hypothenuse is like finding the diagonal of the square. So the legs are like the sides of the square.

From the formula hypothenuse = l√2 you get

Leg = (h√2)/2 = 24√2/2 = 12√2 (you can also do 24/√2)

Answer D

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Help me please ill give brainlist

solmaris [256]

Answer:

106.8 in.

Step-by-step explanation:

The circumference of a circle:

C = 2πr

Substitute the given information into the formula.

C = 2(3.14)(17) = 106.8

5 0

3 years ago

Read 2 more answers

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0

3 years ago

Which line plot displays a data set with an outlier?

Natasha2012 [34]

Answer:

The bottom left answer choice displays an outlier

Step-by-step explanation:

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3 years ago

The symbol 5! means 5* 4*3*2*1. What is the greatest odd integer that is a factor of 5!?

NNADVOKAT [17]

Answer:

Step-by-step explanation:

5 ! = 120

Since 5 ! = 5 × 4 × 3 × 2 × 1, then

5 × 3 = 15 is the greatest odd factor of 5 !

4 0

3 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