A rectangle has four ____ angles. a. 90° c. 60° b. 80° d. 360°

According to the US department of labor, total employment is expected to increase from 146 million in 2000 to 168 million in 201

saveliy_v [14]

Answer:

The percent increase in the employment from the year $2000$ to year $2010$ is $15.07\%$ .

Step-by-step explanation:

Given:

Employment in the year $2000$ $=146$ million.

Employment in the year $2010$ $=168$ million.

To find: The percent increase in the employment.

Solution: We have,

Employment in the year $2000$ $=146$ million.

Employment in the year $2010$ $=168$ million.

Increase in employment $=168-146=22$ million.

Percent increase $=\frac{\textrm{Increase in employment}}{\textrm{Original employment}}\times100\%$

Percent increase $=\frac{22}{146}\times100\%=15.07\%$

Hence, the percent increase in the employment from the year $2000$ to year $2010$ is $15.07\%$ .

3 0

3 years ago

If n(A) =15 n (B) = 9 n(A∩B) =4 find n(A U B)

Xelga [282]

Answer:

20

Step-by-step explanation:

n(A) only =15-4=11

n(B) only=9-4=5

n(A n B)=4

n(A U B)=11+5+4=20

5 0

3 years ago

HELP WILL MARK BRAINLIEST TO WHOEVER ANSWERS !!

Zanzabum

It lasted 13 minutes

5 0

3 years ago

Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e

saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in $R^{2}$ . To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

$\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle$

Now, let's calculate each vector length by calculating the norm.

$\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86$

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.