<em>Greetings from Brasil...</em>
According to the statement of the question, we conclude that the area of a square is requested, whose value is 171 in²
The area of a square is given by the expression:
A = S²
<em>where S is the side of the square - just what we want to know</em>
So:
A = S²
171 = S²
√171 = S
<h3>S ≈ 13.08in</h3>
Answer:
See proof
Step-by-step explanation:
Statements Reasons
1. 
bisects 
Given
2. 
Definition of angle bisector
3. 
Reflexive property of equality
4. 
AAS postulate
5. 
Congruent triangles have congruent corresponding sides
6. 
Reflexive property of equality
7. 
SAS postulate
8. 
Congruent triangles have congruent corresponding sides
The money invested in stock X is $8,800.
Given,
Total investment in stock portfolio=$10000
Expected return from stock X=13%=0.13
Expected return from stock Y=8%=0.08
Expected return from portfolio=12.4%=0.124
The portfolio return is calculated by taking the weighted average of individual stock returns.
Let x represent the portfolio weightage of stock X.
1-x is the portfolio weightage of stock Y.
money invested in stock X be
0.124=0.13x+0.08(1-x)
0.124=0.13x+0.08-0.08x
0.124-0.08=0.05x
0.044=0.05x
x=0.88
money invested in stock X=0.88*10000=$8800
Thus, the money invested in stock X is $8,800.
To learn more about percentages refer here
brainly.com/question/26718419
#SPJ4
Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
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<em>Alternate Solution</em>
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
_____
You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
Answer:
x=15
Step-by-step explanation:
divide 12/20 by 4 to get 3/5 then multiply by 3 to get your value of x
