Answer:
x=6
Step-by-step explanation:
3x-5=2x+1
x-5=1
x=6
Answer:
34.3 in, 36.3 in
Step-by-step explanation:
From the question given above, the following data were obtained:
Hypothenus = 50 in
1st leg (L₁) = L
2nd leg (L₂) = 2 + L
Thus, we can obtain the value of L by using the pythagoras theory as follow:
Hypo² = L₁² + L₂²
50² = L² + (2 + L)²
2500 = L² + 4 + 4L + L²
2500 = 2L² + 4L + 4
Rearrange
2L² + 4L + 4 – 2500 = 0
2L² + 4L – 2496 = 0
Coefficient of L² (a) = 2
Coefficient of L (n) = 4
Constant (c) = –2496
L = –b ± √(b² – 4ac) / 2a
L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2
L = –4 ± √(16 + 19968) / 4
L = –4 ± √(19984) / 4
L = –4 ± 141.36 / 4
L = –4 + 141.36 / 4 or –4 – 141.36 / 4
L = 137.36/ 4 or –145.36 / 4
L = 34.3 or –36.3
Since measurement can not be negative, the value of L is 34.3 in
Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:
1st leg (L₁) = L
L = 34.4
1st leg (L₁) = 34.3 in
2nd leg (L₂) = 2 + L
L = 34.4
2nd leg (L₂) = 2 + 34.3
2nd leg (L₂) = 36.3 in
Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in
Answer:
Step-by-step explanation:
Answer:
63/4
Step-by-step explanation:
Let the sails yard in 8 3/4 minutes= X
7 1/2 yards sails= 4 1/6 minutes
X = 8 3/4 minutes
Let us Convert the fraction to improper fraction
4 1/6 minutes= 25/6 minutes
8 3/4 minutes= 35/4 minutes
7 1/2 yards sails= 15/2 sails yard
Then
15/2 yards sails= 25/6 minutes
X = 35/4 minutes
If we cross multiply
25/6 X = 15/2 × 35/4
25/6 X =525/8
6 × 525= (25× 8)X
3150= 200X
X= 3150/200
X=63/4
So basically sense the lion is 50 and the elephant is 25 that’s half of 50 so if you find the lion’s distance you divide it by to and that’s the answer
