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3 years ago

Given the triangle below what is rounded to the nearest tenth?

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

Answer:

48.6

Step-by-step explanation:

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Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)

maxonik [38]

Answer with Step-by-step explanation:

We are given that

$r(t)=< t^2,\frac{2}{3}t^3,t >$

We have to find T,N and B at the given point t > (1, $2/3$ ,1)

$r'(t)=$

$\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1$

$T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}$

Now, substitute t=1

$T(1)=\frac{}{2+1}=\frac{1}{3}$

$T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}$

$T'(1)=-\frac{4}{9}+\frac{1}{3}$

$T'(1)=\frac{1}{9}=$

$\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}$

$N(1)=\frac{T'(1)}{\mid T'(1)\mid}$

$N(1)=\frac{}{\frac{2}{3}}=$

$N(1)=$

$B(1)=T(1)\times N(1)$

$B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}$

$B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})$

$B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k$

$B(1)=\frac{1}{3}$

5 0

3 years ago

My Question: Q=1/2P+15, for P

Mekhanik [1.2K]

P=2(9-15) is what i got first i simplify 1/2p to p/2, then subtract from both sides, multply both sides by 2, then regroup terms, and last switch sides

8 0

3 years ago

GIVEAWAY!! QUICK QUESTION!!!

Dmitry [639]

Answer:

-2

Step-by-step explanation:

Given :

An example of a coefficient ⇒ '11' in 11kk

Solving :

The coefficient is the part that precedes the variable(s)
Therefore, on solving -k - k
⇒ -2k
⇒ -2 is the coefficient

7 0

2 years ago

Read 2 more answers

Adult tickets to a play cost $22 tickets for kids cost $15. Tickets for a group of 11 cost a total of $228. How many children an

Zina [86]

Answer:Number of children = 2 and number of adults = 9 attended the play

Step-by-step explanation:

Step 1

Let the number of children be represented as x

and the number of adults in the group be represented as as y

such that the total number of the group that went to the play

= x+y=11--- equation 1

And the total cost paid for the play will be expressed as

15x+ 22y= 228------ equation 2

Step 2-- Solving

x+y=11--- equation 1

15x+ 22y= 228------ equation 2

B y elimination method, multiply equation 1 by 15 to give equation 3 and then subtract from equation 2

15x+ 22y= 228------ equation 2

15x+15Y= 165----- equation 3

7y=63

y= 63/7= 9

y= adults = 9

therefore x = number of children will be

x+y=11

x+ 9=11

x= 11-9= 2

In the group that attended the play, Number of children = 2 and number of adults = 9

8 0

3 years ago

What is the fraction form of 4.03

guapka [62]

The fraction form would be 4 3/100

4 0

3 years ago