Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
Answer:
20
Step-by-step explanation:
ii) 7, 12, 17, 22..
The difference between the i) pair is 3, and the ii) pair is 5.
So ,
17 + 3 = 20.
22 + 5 = 27.
Therefore the series is 8, 7, 11, 12, 14, 17, 17, 22, 20, 27.
Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
Answer:
4 R 3 or 4.5
Step-by-step explanation:
Answer:
$2220
Step-by-step explanation:
Step one
Given data
Principal= $2000
rate= 1.1%= 0.011
time= 10 years
<u>Required</u>
<u>The final amount A</u>
Step two;
For simple interest, the final amount is given as
A=P(1+rt)
substitute
A=2000(1+0.011*10)
A=2000(1+0.11)
A=2000(1.11)
A=2220
$2220
