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2 years ago

Plz help me with this

Mathematics

1 answer:

zvonat [6]2 years ago

8 0

Answer: 5 cos x

Step-by-step explanation:

y = sin x is y = cos x shifted to the right π/2 units.

y = 5 sin (x + π/2) is a shift to the left π/2 units (which results in cos x) and . an amplitude of 5.

--> y = 5 cos x

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2 years ago

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kkurt [141]

Answer:

$f(2) = 81$

$g(2) = 83$

Science class had a higher average

Step-by-step explanation:

Given

$f(x) = 0.5x + 80$

g(x) table

Solving (a): f(2)

We have:

$f(x) = 0.5x + 80$

So:

$f(2) = 0.5*2 + 80$

$f(2) = 1 + 80$

$f(2) = 81$

Solving (b): g(2)

From the given table.

$g(2) = 83$

Solving (c): f(4) or g(4); which is greater

$f(x) = 0.5x + 80$

So:

$f(4) = 0.5*4+80$

$f(4) = 2+80$

$f(4) = 82$

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

$g(x) = g(x-1)+2$

$g(4) = g(4-1)+2:$

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2 years ago

Can anyone please tell me how to do this

andrew11 [14]

Hello there, this problem is just basic addition, here is what it would look like

$52.31+25.90$

Solve it and we get 78.21

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qaws [65]

36 cm^2

Step-by-step explanation:

Small window

Length: 2cm

Width: 2cm

Area: 4 cm^2

Big window

Length: 4cm

Width: 3cm

Area: 12 cm^2

Total area of the windows:

(Area of 4 small windows + area of 1 big window)

(4 cm^2 x 4 + 12cm^2)

= 28 cm^2

Above window (approx.)

Rectangle

Length: 3cm

Width: 2cm

Area: 6 cm^2

Triangle

Base: 1cm

Height: 1cm

Area: 2 x 0.5 cm^2 = 1 cm^2

Square (between the triangles)

Length: 1cm

Width: 1cm

Area: 1 cm^2

= 8 cm^2

TOTAL AREA OF ALL WINDOWS

= AREA OF 4 WINDOWS + AREA OF BIG WINDOW + AREA OF ABOVE WINDOW

= 16 cm^2 + 12 cm^2 + 8 cm^2

I hope I made the explanations clear enough to make it easier for you to understand!

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