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3 years ago

Plsss helpp mathhh and thank u if u answer

Mathematics

1 answer:

kompoz [17]3 years ago

7 0

Answer:

a. 60 centimeters

b. 67 centimeters

Step-by-step explanation:

12 × 4 = 48

(6 × 4) ÷ 2 = 12

48 + 12 = 60

7 × 10 = 70

(2 × 3) ÷ 2 = 3

70 - 3 = 67

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15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find dy/dx at =22/7*4

Sav [38]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

It looks like we're given

$\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}$

where a and b are presumably constant.

Recall that

$\cos^2t=\dfrac{1+\cos(2t)}2$

$\sin^2t=\dfrac{1-\cos(2t)}2$

so that

$\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}$

Then we have

$\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t$

$\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}$

$\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}$

where the last reduction follows from dividing through everything by $\cos(2t)\cos^2t$ and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

8 0

3 years ago

Lol we need the answer (-:

PolarNik [594]

Answer:184ft²

Step-by-step explanation:2(5×10)+2(4×6/2)+(6×10)

100+24+60=184

PLEASE MARK ME AS BRAINLIEST!!!

6 0

3 years ago

Pls help me with this

scoundrel [369]

Answer:

6mm

Step-by-step explanation:

7 0

2 years ago

A shirt that normally costs $30 is on sale for $21.75 what percent of the regular price is the sale price

Phoenix [80]

First Divide: 21.75/ 30

You will get 0.725

Then, multiply 0.725 by 100%

Then your answer should be: 72.5%

3 0

3 years ago

What expression can you use to find 340 percent of 700?

Amiraneli [1.4K]

It is 3.40 * 700 and that is equal to 2380.

7 0

3 years ago