Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
Answer:
p=-7
Step-by-step explanation:
-11+10(p+10)=4-5(2p+11)
Firstly, expand the bracket
-11+10p+100=4-10p-55
Next, you collect like terms
10p+10p=4-55-100+11
20p=-140
Divide through by the coefficient of p
20p/20=-140/20
p=-7
When you multiply exponents like in the problem, you add them together.
So to find the answer, just subtract the final exponent of 'a' from the original.
6-2=4
The answer should be 4
Answer:
π/4
Q1
Step-by-step explanation:
Other options for arctan(1) is 5π/4 + nπ, where n is a whole number, but they are all outside the Range.
