Answer:
- shortest: 3 ft
- other: 4 ft
Step-by-step explanation:
The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.
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<em>Alternate solution</em>
If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...
5^2 = (x)^2 +(x -1)^2
25 = 2x^2 -2x +1
12 = x^2 -x = x(x -1)
Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4
The "other" leg is 4 ft; the shortest leg is 3 ft.
Answer:
where 
is an integer
Step-by-step explanation:
We are going to isolate the trig expression first.
Subtract 5 on both sides:
Divide both sides by 3:
Now since 
is even then 
.
So we have:
implies:
Multiply both sides by 2:
or
Multiply both sides by -2:
So we can say the solution is:
( is an integer)
Answer:
The answer in one common tangent only ⇒ answer (B)
Step-by-step explanation:
∵ The two circles touch internally in a common point
* At this point we can draw only one tangent
∵ This point is common in the two circles
∴ The tangent will be common for the two circles
∴ There is only one common tangent can be draw passing
through the common point which the two circles
touch each other on it
∴ The answer is (B)
Answer:
141
Step-by-step explanation:
N - 36 = 135 - 30
N - 36 = 105
N = 105 + 36
N = 141
Hi,
Let's solve the equation step by step.
6(a+3)=18+6a
Step 1: Simplify both sides of the equation.
6(a+3)=18+6a
(6)(a)+(6)(3)=18+6a(Distribute)
6a+18=18+6a
6a+18=6a+18
Step 2: Subtract 6a from both sides.
6a+18−6a=6a+18−6a
18=18
Step 3: Subtract 18 from both sides.
18−18=18−18
0=0
Answer:
All real numbers are solutions.
Have a great day!
