Answer:
300 centimeters
Step-by-step explanation:
1 meter is equal to 100 cm so 3 x 100 = 300
The third one, not sure about any other ones.
Answer:
x=-7
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
40 + x+57 + 90 =180
Combine like terms
187 +x = 180
Subtract 187 from each side
187-187 +x = 180-187
x = -7
Answer:
The total distance of the round trip was 4 miles
Step-by-step explanation:
1. Let's check all the information given to answer the question correctly:
Speed of Dave walking to his friend's house = 4 mph
Speed of Dave biking from his friend's house = 10 mph
Time walking is 18 minutes longer than time biking
2. What was the total distance of the round trip?
Time walking = x
Time biking = x - 18
For solving x, we will use the following equation:
4x = 10 * (x - 18)
4x = 10x - 180
-6x = - 180
x = -180/-6 (Dividing by - 6)
x = 30
Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:
30 minutes = 0.5 hours and 12 minutes = 0.2 hours
Total distance = 4 *0.5 + 10 * 0.2
Total distance = 2 + 2
Total distance = 4 miles.
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