Answer: 14 7/8
Step-by-step
I put the 4 1/4 into an improper fraction then did keep change flip
Answer:
356475Nrp
Step-by-step explanation:
$1=105Nrp
$3500=105×3500Nrp
=367500Nrp
Now,
Bank charges 3% commission
therefore, 3% of 367500Nrp
=3/100×367500Nrp
=11025Nrp
Then,
Required money =367500Nrp-11025Nrp
=356475Nrp
Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
Answer:
4.80 units (3 s.f.)
Step-by-step explanation:
Hence, length of AB
= √(11+1)^2 - (8+3)^2
= √ 12^2 -11^2
= √ 23
= 4.80 units (3 s.f.)
