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GREYUIT [131]
3 years ago
6

What is the value of 4\10 + 3\100 =

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0
The answer is 43/100.
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Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
6 hats for $45 what was the cost per hat ​
Lera25 [3.4K]

Answer:

270

Step-by-step explanation:

you will times 6 by 45

8 0
3 years ago
Read 2 more answers
Plz help ASAP!!!! PLZ
AnnyKZ [126]
To find a missing side of a right triangle use the Pythagorean theorem
A2+b2=c2
C is the hypotenuse (long side)
Plug into the equation
11^2+b2=12^2
121+b2=144
So subtract 144-121 to get the missing side you get 23
Take the square root
It will be 4.7
If they want it rounded
X=5
If I had any mistakes in my answer I am sorry but everything should be correct
3 0
3 years ago
The amount in a savings account increased from 200 to 216. What was the percent of increase?
aleksandrvk [35]
216/200=%
1.08 which equals 108%
4 0
3 years ago
The relationship between time and the distance remaining one 3 mile walk for someone walking at a steady rate of 2 miles per hou
andre [41]
It would take 1 1/2 hour to walk three miles.
8 0
3 years ago
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