Answer:
5 cm
Step-by-step explanation:
Let the shorter side be a, longer side be b, hypotenuse be c
By Pythagorean theorem:
a² + b² = c²
a² + (a + 7)² = (a + 8)²
a² + a² + 14a + 49 = a² + 16a + 64
a² - 2a - 15 = 0
a² + 3a - 5a - 15 = 0
a(a + 3) - 5(a + 3) = 0
(a + 3)(a - 5) = 0
a = -3 or a = 5
Because a is a side length and is a positive number
a = 5
Answer:

Step-by-step explanation:
Given


Required
Determine the mass of the vehicle
This question will be answered using Newton's second law

Substitute values for Force and Acceleration

Make Mass the subject


---- approximated
<em>Hence, the mass of the vehicle is 1867kg</em>
Answer:
I’m not sure really but the first one is 103 or 110
Step-by-step explanation:
Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A (
) = 3 hours
Time taken by Machine B (
)= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula = 
Put the values in above formula we get
⇒ T = 
⇒ 12 = 
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Answer:
6/11, 15/21, 9, 27/37, 31/54
Step-by-step explanation:
Absolute value is when you determine the distance between a value and zero . Since you will always have a positive distance, your absolute values are positive as well.