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Andreas93 [3]
4 years ago
13

Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ θ < 360°. Round the direction to two decimal places

.)
v = (12, 5)
Mathematics
1 answer:
podryga [215]4 years ago
5 0
V=<12,5>
Magnitude
|v| = sqrt(12^2+5^2) = 13

Direction
theta
= atan2(5,12)
= atan(5/12)
= 22.62 degrees

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Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2
Mademuasel [1]

Answer:

5.7m

Step-by-step explanation:

the easiest way to solve for a side is to draw the question in a diagram (i have done this below). As it is a right-angled triangle and we know 2 of the side, we can use the Pythagoras theorem:

a^{2} +b^{2} =c^{2}

sides a and b are the two shorter sides.

side c is the hypotenuse (longest side)

as shown in the picture below, because we know both sides c and b, we need to change the equation around:

c^{2} -b^{2} =a^{2}

replace these sides with their numbers:

6^{2} -2^{2} = 32 (remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:

\sqrt{32} =5.65685...

the question says to round to the nearest tenth meter:

Missing side = 5.7m

I hope this was helpful :-)

 

8 0
3 years ago
Factor The Expression<br><br> 14b + 10=<br><br> there are no options
n200080 [17]

Answer:

2(7b+5)

Step-by-step explanation:

5 0
3 years ago
you flip a coin 10 times heads comes up 6 times.What is the experimental probability of flipping heads
Gwar [14]
Hey there, you asked what is the experimental probability of flipping heads, heads is 10, so we are going to make a fraction, 10 is the denominator and you add 10 by 6, 10+6=16. So, the fraction is 10/16, 10/16 simplified is 5/8. Therefore, the experimental probability of flipping heads is 5/8
3 0
3 years ago
Raul and his friends each way 1/20 of a ton are standing on a truck scale . The total weight shown by the scale is 3/4 of a ton
vivado [14]

Answer:

<em>15 people</em>

Step-by-step explanation:

since Raul and his friends each weigh 1/20 ton,

and the total weight reads 3/4 ton

The total number pf people on the scale will be:

<em>The total weight of Raul and his friends divided by their individual weight</em>

==> (3/4 ton) ÷ (1/20 ton)

= 3/4 X 20/1 = <em>15 people</em>

4 0
3 years ago
Read 2 more answers
What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?
alukav5142 [94]

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

3 0
3 years ago
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