All categories

4 years ago

Find the magnitude and direction (in degrees) of the vector. v = ‹ - sqrt(7)/9, - sqrt(2)/3 ›

1 answer:

6 0

The magnitude is given by:
lvl = root ((- root (7) / 9) ^ 2 + (- root (2) / 3) ^ 2)
lvl = 0.555555556
The address is given by:
cos (theta) = (- root (7) / 9) / (0.555555556)
Clearing theta:
theta = acos ((- root (7) / 9) / (0.555555556))
theta = 121.95 degrees
Answer:
The magnitude and direction (in degrees) of the vector are:
lvl = 0.555555556
theta = 121.95 degrees

You might be interested in

Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 70 ft squared . To the nearest tenth

ziro4ka [17]

Answer:

Mr. Drew needs 167.3 ft of wood

Step-by-step explanation:

we know that

The area of a square is

$A=b^{2}$

where

b is the length side of the square

we have

$A=70\ ft^2$

substitute in the formula and solve for b

$70=b^{2}$

square root both sides

$b=\sqrt{70}\ ft$

To determine the total length of wood , calculate the perimeter of the sandbox

The perimeter of the sandbox is equal to the perimeter of 5 squares

$P=5(4b)$

substitute the value of b

$P=5(4(\sqrt{70}))=167.3\ ft$

therefore

Mr. Drew needs 167.3 ft of wood

7 0

3 years ago

Jacques deposited $1900 into an account that earns 4% interest. After t year, jaques has $3875.79in the account. How long was th

Sladkaya [172]

Deposit = $1900
Amount After interest = $3875.79
% interest = 4%
Interest = 1975.79

Time For Interest Period

4/100 × 1900 × t = 1975.79
76 t = 1975.79
=26 years

Answer = 26years

5 0

3 years ago

What is the slope of the line that passes through these points?

Natasha2012 [34]

Answer:

The slope is 6.

Step-by-step explanation:

For this, you will want to use the slope formula.

m = y2 - y1 / x2 - x1

m = 14 - 2 / 19 - 17

m = 12 / 2

m = 6

7 0

3 years ago

A rectangle of perimeter 74 cm is 7cm longer than it is wide. what is the length of each side?

Mumz [18]

I assume that you mean: the length is 7cm more than the width, and the perimeter is 74 cm.

If so, we can write down the following system, where l and w represent, respectively, the length and the width:

$\begin{cases}l=w+7\\2(l+w)=74\end{cases} \iff \begin{cases}l=w+7\\l+w=37\end{cases} \iff \begin{cases}l=w+7\\(w+7)+w=37\end{cases}$

We can easily solve the second equation:

$(w+7)+w=37 \iff 2w+7=37 \iff 2w=30 \iff w=15$

And finally solve for the length:

$l=w+7=15+7=22$

6 0

4 years ago

Evaluate the expression 2 + 23 × 5 - 3. 20 39 37 47

Ilya [14]

Answer:

114

Step-by-step explanation:

23 × 5 = 100 + 15 = 115

2 + 115 - 3 = 2 + 112 = 114

6 0

3 years ago