You are fencing a rectangular puppy kennel with 26 feet of fence. The side of the kennel against the house does not need a fence, this side is 9 feet long. Find the missing length of the kennel.

Step-by-step explanation:

Given that,

Total length of the fence is 26 feet

The side of the house that does not need a fence is 9 feet long.

We need to find the missing length of the kenel.

26 feet is the perimeter of the kennel. Perimeter is the sum of all sides of a rectangle.

P = l+b+l+b

P=2b+l (because side of the kennel against the house does not need a fence

So,

26=2b+9

2b=17

⇒ b = 8.5 feet

l = 9 feet

So, the missing length of the kennel is 9 feet.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500