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Pavel [41]
3 years ago
11

Help me please I don’t know how to do it

Mathematics
1 answer:
Iteru [2.4K]3 years ago
3 0

Answer:

7

Step-by-step explanation:

Why? Well, when I get these guess the number problems, the only thing that you can do is guess. 5 times 3? 15. 15+5=20. So 5 can't be it. 6 times 3?18. 18+5=23. So it can't be y. But 7 times 3 21. 21+5=26. So that's your answer for the first one

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Determine an expression for dy<br> dx given that x = sin3<br> (t)andy = cos3<br> (t)
shtirl [24]

Answer:

\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }

Step-by-step explanation:

Recall that using the chain rule we can state:

\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)

And similarly:

y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}

now notice that we can find   cos(t) = \sqrt[3]{y}  from the expression for y,

and   sin(t) = \sqrt[3]{x}  from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }

4 0
3 years ago
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hun
Alisiya [41]

Answer:

<h2>8.54 units</h2>

Step-by-step explanation:

Given,

Perpendicular ( p ) = 8 units

Base ( b ) = 3 units

Hypotenuse ( h ) = ?

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

plug the values

{h}^{2}  =  {8}^{2}  +  {3}^{2}

Evaluate the power

{h}^{2}  = 64 + 9

Calculate the sum

{h}^{2}  = 73

Squaring on both sides

h =  \sqrt{73}

Calculate

h = 8.54 units

Hope this helps..

Best regards!

5 0
4 years ago
PLZ HELP its only one problem and the instructions are on the screenshot
djyliett [7]

Answer:

Equal to!

Step-by-step explanation:

2 x 1.08 is 2.16

(1.08/100) x 200 = 2.16

2.16 = 2.16

3 0
3 years ago
Tell me questions 5 and 6
fgiga [73]
Questions 5 and 6. You happy
8 0
4 years ago
The difference of x and y added totwice the sum of a and b
Svet_ta [14]

Answer:

2(a+b) + (x-y)

Step-by-step explanation:

2(a+b) + (x-y)

it's only the answer according to the question .

3 0
3 years ago
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