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2 years ago

5

Plz help if you can!!!!!!!!!!

1 answer:

eduard2 years ago

8 0

Answer: The two triangles are similar because the angles are congruent.

Step-by-step explanation: If you add the given measures of the angles given, then subtract from 180, the remainder is equal to the measure of the angle given for the other triangle.

180 - (103 + 22) = 55

180 - (22 + 55) = 103

So both triangles have the same angle measurements.

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ASAP PLEASE HELP!! 50 POINTS

svetlana [45]

Answer/Step-by-step explanation:

Total Distance = 3Ft

a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.

Amplitude = 3/2 = 1.5 period = 10 second

$\frac{0}{1} =\frac{2\pi }{b}$ $b=\frac{\pi }{5}$ No ph. Shift

b) Write an equation of a function that models the buoy with x=0 at its highest point.

y= 1.5 cos ( $\frac{\pi }{5} x$ )

3 0

2 years ago

The picture shows a barn door:

Hitman42 [59]

Answer:

(D)9 divided by sin 60 degrees

Step-by-step explanation:

From the given figure, using trigonometry

$\frac{BC}{AB}=sin60^{{\circ}}$

Substituting the given values, we get

$\frac{9}{AB}=sin60^{{\circ}}$

$\frac{9}{sin60^{\circ}}=AB$

$AB=\frac{9{\times}2}{\sqrt{3}}$

$AB=\frac{18}{\sqrt{3}}$

$AB=10.4 feet$

Thus, The length of the support AB is 9 divided by sin 60 degrees.

5 0

2 years ago

Read 2 more answers

olga nikolaevna [1]

Answer:

Fraction of the original board left = $\frac{2}{15}$

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off $\frac{1}{5}$ of a wooden board.

Length of the board left = l - $(\frac{1}{5})l$

= $(\frac{4}{5})l$ feet

He saws off $\frac{3}{4}th$ of the remaining board,

Board left = $(\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]$

= $\frac{4}{5}l-\frac{3}{5}l$

= $\frac{1}{5}l$ feet

He finally saws off $\frac{1}{3}$ rd of the remaining board.

Board left = $\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l$

= $(\frac{1}{5}-\frac{1}{15})l$

= $\frac{2}{15}l$ feet

Fraction of the original board left = $\frac{\frac{2}{15}l}{l}$

= $\frac{2}{15}$

6 0

2 years ago

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laiz [17]

Answer:

find the percentage equal to 70/80

4 0

2 years ago

G with the definition of covariance, prove cov[(ay − b),(cy − d)] = accov(x, y ), where x, y are random variables and a, b, c, d

____ [38]

By definition of covariance,

$\mathrm{Cov}(X,Y)=\mathbb E[(X-\mathbb E[X])(Y-\mathbb E[Y])]$

$\mathrm{Cov}(X,Y)=\mathbb E[XY-\mathbb E[X]Y-X\mathbb E[Y]+\mathbb E[X]\mathbb E[Y]]=\mathbb E[XY]-\mathbb E[X]\mathbb E[Y]$

We have

$\mathbb E[(aX-b)(cY-d)]=\mathbb E[acXY-adX-bcY+bd]$

$=ac\mathbb E[XY]-ad\mathbb E[X]-bc\mathbb E[Y]+bd$

$\mathbb E[aX-b]=a\mathbb E[X]-b$

$\mathbb E[cY-d]=c\mathbb E[Y]-d$

$\mathbb E[aX-b]\mathbb E[cY-d]=ac\mathbb E[X]\mathbb E[Y]-ad\mathbb E[X]-bc\mathbb E[Y]+bd$

Putting everything together, we find the covariance reduces to

$\mathrm{Cov}(aX-b,cY-d)=ac(\mathbb E[XY]-\mathbb E[X]\mathbb E[Y])=ac\mathrm{Cov}(X,Y)$

as desired.

5 0

2 years ago