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Fed [463]
2 years ago
8

Find the angle between the given vector in degrees. u=<6, 4>, v=<7, 5> HELPPPPPPPPPP

Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

Recall that

\vec a\cdot\vec b=\|\vec a\|\|\vec b\|\cos\theta

where \theta is the angle between the vectors \vec a,\vec b whose magnitudes are \|\vec a\|,\|\vec b\|, respectively.

We have

\langle6,4\rangle\cdot\langle7,5\rangle=\sqrt{6^2+4^2}\sqrt{7^2+5^2}\cos\theta

\cos\theta=\dfrac{31}{\sqrt{962}}\implies\theta\approx88.2^\circ

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Determine the length of the unknown sides for the right triangle
alisha [4.7K]

Answer:

Below in bold.

Step-by-step explanation:

sin 66.4 = opposite side / hypotenuse

sin 66.4 = 21.3 / y

y = 21.3 / sin 66.4

y = 23.24.

tan 66.4 = 21.3 / x

x = 21.3 / tan 66.4

x = 9.31.

3 0
3 years ago
May you please help me with Highschool Ap Calculus.​
nadya68 [22]

Answer:

dy/dx = x=-1

Step-by-step explanation:

by use of intergration to get the values of yaxis and x axis,,the values are -2, -4,

5 0
2 years ago
Which point is in the solution set of the given system of inequalities 3x+y&gt;-3,x+2y&lt;4
Dima020 [189]
Step 1. Solve both inequalities for y:
3x+y\ \textgreater \ -3
y\ \textgreater \ -3x-3

x+2y\ \textless \ 4
2y\ \textless \ -x+4
y\ \textless \ - \frac{1}{2} x+2

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines -3x-3 and - \frac{1}{2} x+2:

y=-3x-3 (1)
y=- \frac{1}{2} x+2 (2)

Replace (1) in (2):
-3x-3=- \frac{1}{2} x+2
Solve for x:
\frac{5}{2} x=-5
x=-2 (3)

Replace (3) in (1):
y=-3x-3
y=-3(-2)-3
y=6-3
y=3

We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.

4 0
3 years ago
Read 2 more answers
Big Smiles Toy Company needs to pack marbles into a box. The company has two boxes they can use. Box A is 9 inches wide, 13 inch
shtirl [24]

Answer:

Big Smiles Toy Company should choose Box B as its volume is  82.5 inch^3 larger than Box A

Step-by-step explanation:

Given

Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height

Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height

Volume of Box A= Length\timeswidth\times height=9\times13\times11.5= 1345.5 inches^3

Volume of Box B =Length\times width\times height= 14\times8.5\times12= 1428 inches^3

Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5inches^3

Box B has 82.5 inch^3 volume larger than Box A

4 0
3 years ago
2+3(67x34 =y =?<br><br> Pls answer this I need the answer now you’ll get 35 points
Nonamiya [84]
Assuming you meant 2+3(67x34)=y
67x34=2278
2+3(2278)=y
5(2278) or 5x2278=y
y=11390
3 0
3 years ago
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