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denis-greek [22]
1 year ago
15

Sketch the vectors u and w with angle θ between them and sketch the resultant.

Mathematics
1 answer:
Rama09 [41]1 year ago
8 0

Given:

Two vectors (u) and (w) and the angle between them θ

\begin{gathered} |u|=50 \\ |w|=12 \\ \theta=35\degree \end{gathered}

the sketch of the vectors will be as shown in the following figure:

As shown, the resultant vector is the blue line segment

The vector R has a magnitude = 60.22

And the angle between u and R = 5.56°

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SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR
slega [8]

Answer:

1)

A)

We must use the formula b x h/2  12 x 8/2 = 48    

A=48

B)

We must use the formula 1/2a root c squared - a squared

Solving and substituing will get you 35.78

2)

A)

We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter

B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is  s root 2.

3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:

h x b /2 = 10 x 20/2 = 200/2 = 100

AREA IS 100cm squared

Step-by-step explanation:

5 0
2 years ago
Write cos 53 degrees in terms of sine.
SOVA2 [1]
Cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)
7 0
3 years ago
If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents t
Harlamova29_29 [7]

\bf \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\ \cline{1-1} V=6x^2-2x+8\\ \stackrel{base}{Lw}=2x-4 \end{cases}\implies 6x^2-2x+8=(2x-4)h \\\\\\ \cfrac{6x^2-2x+8}{2x-4}=h\implies \cfrac{\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(3x^2-x+4)}{\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x-2)}=h\implies \cfrac{3x^2-x+4}{x-2}=h

5 0
3 years ago
Jason has 23 dimes and quarters in his piggy bank. If the value of these coins is $4.55, how many dimes does he have? Set up and
Luden [163]
95 hope this helps!!!!!!!!




7 0
3 years ago
The length of a rectangular deck is 5 times its width. If the deck’s perimeter is 24 feet, what is the deck’s area?
spayn [35]

Answer:

20ft²

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 5W .......equation 1

2L + 2W = 24 ........equation 2

To find the width

Substituting equation 1 into equation 2, we have;

2(5W) + 2W = 24

10W + 2W = 24

12W = 24

W = 24/12

Width, W = 2 ft

To find the length;

Substituting the value of "W" into equation 1, we have;

L = 5W

L = 5*2

L = 10 ft

To find the area of the rectangle;

Area = LW

Area = 10*2

<em>Area = 20 ft²</em>

Therefore, the deck's area is 20 feet square.

5 0
3 years ago
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