It is the inequation with the solution as below
h-16
- 24
h
-24 + 16
h
-5
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get
Now in Δ PQT and Δ QRS we have
Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
Answer:
$2535.88
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r/n)^(nt)
where Accrued amount is to be determined
P = principal; $2000
r = 4.75% = 0.0475
t = number of years = 5
n = number of times interest is compounded = 52
Therefore
Accrued amount = 2000 (1 + 0.0475/52)^(5x52)
= 2000 x (1.000913)^260
= 2000 x 1.2679
= $2535.88
Answer:
x>-2.8571428571 to be exact, but you can round it to the hundredth decimal which is -2.86 or round it to the tenth which is -2.9
Step-by-step explanation:
23-7x>43
1: do the inverse operation: 23-23=0
2: do that to the other side as well: 43-23=20
Your new inequality is: -7x>20
3: divide both sides by -7: -7x/-7= x, 20/-7=-2.8571428571
Your final answer can be either the inequality problem (23-7x>43) or the answer to the inequality problem(x>-2.8571428571)