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ASHA 777 [7]
3 years ago
6

Find a · b. |a| = 60, |b| = 30, the angle between a and b is 3π/4.

Mathematics
1 answer:
Delvig [45]3 years ago
8 0
The dot product is used to determine the magnitude of the resultant vector of two component vectors. It is expressed as a·b. It does not literally mean that you multiply their values. Instead, you multiply their matrices. However, since we cannot find matrices, let's just find the resultant vector through theorems involving triangles. By cosine law:

R = √[a² + b² - 2abcos(3π/4)]
R = √[60² + 30² - 2*60*30*cos(3π/4)]
R = 83.94

Thus, a·b = 83.94
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jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h. At 8.30a.m. Sipho left town A to trave
7nadin3 [17]

Answer:

Sipho catches up Jabu at 6:30 pm

Step-by-step explanation:

Jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h.

At 8:30 am, when Sipho leaves, we will have traveled 2.5 hours at 80 km/h, so he will be 80*2.5 = 200 km ahead.

From then, his position will be given by:

J(t) = 200 + 80t

Sipho left town A to travel to town B. He drove at an average speed of 100 km/h.

His position will be given by:

S(t) = 100t

At what time will Sipho catch up jabu?​

He will catch up in t hours, and t is found when:

S(t) = J(t)

So

100t = 200 + 80t

20t = 200

t = \frac{200}{20} = 10

He will catch up 10 hours after 8:30 am, that is, 6:30 pm.

Sipho catches up Jabu at 6:30 pm

4 0
2 years ago
What is the standard form of 3+5x-4x^2<br>and what is the standard form of 8x+x+5+x^3​
harina [27]

Answer:

1. -4x^2 + 5x + 3

2. x^3 + 9x + 5

Step-by-step explanation:

hope this helps

4 0
2 years ago
Three boxes are stacked one on top of the other. One box is
igor_vitrenko [27]
First, convert all measurements to inches. 

Box 1:
3ft(12in)=36in+6in=42in

Box 2:
4ft(12in)=48in+10in=58in

Box 3:
4ft(12in)=48in+5in=53in

Now, add the heights together.

42in+58in+53in=153in

Finally, convert added height to feet.

153in/12in=12 with a remainder of 9, so your final answer is 12ft 9in
6 0
2 years ago
Enter the range of values for x: 48° 2x-12 16 22 AB=AD​
taurus [48]

Answer:

its 6 I just took the assignment

6 0
2 years ago
What does peremeter mean
icang [17]
The continuous line forming the boundary of a closed geometric figure.
3 0
3 years ago
Read 2 more answers
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