Answer:
a) TO = OP = 13
b) Height = 12
Step-by-step explanation:
a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.
Perimeter of triangle TOP = 36 cm
=> TO + OP + TP = 36
=> x + x + 10 = 36
=> 2x = 26
=> x = 13
=> TO = OP = 13 cm.
b) Apply Pythagorean theorem:
height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)
or
height^2 + (10/2)^2 = 13^2
or
height^2 + 25 = 169
or
height^2 = 144
or
height = 12
Hope this helps!
Answer:
Step-by-step explanation:
Answer:
480/(x+60) ≤ 7
Step-by-step explanation:
We can use the relations ...
time = distance/speed
distance = speed×time
speed = distance/time
to write the required inequality any of several ways.
Since the problem is posed in terms of time (7 hours) and an increase in speed (x), we can write the time inequality as ...
480/(60+x) ≤ 7
Multiplying this by the denominator gives us a distance inequality:
7(60+x) ≥ 480 . . . . . . at his desired speed, Neil will go no less than 480 miles in 7 hours
Or, we can write an inequality for the increase in speed directly:
480/7 -60 ≤ x . . . . . . x is at least the difference between the speed of 480 miles in 7 hours and the speed of 60 miles per hour
___
Any of the above inequalities will give the desired value of x.
Answer:
Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).
Step-by-step explanation:
i) though Raheem is mathematically correct the question asks for a translation which means that we can only use addition and/or subtraction and not multiplication. So Raheem's answer is therefore incorrect.
ii) Casey's answer is incorrect as applying the rule (x+2, y+4) on the coordinates N(-2, -4) will gives us (0,0) and not N'(2,4)
iii) Andrew's answer is also incorrect as applying the rule (x+4, y+0) on the coordinates N(-2, -4) will gives us (2,-4) and not N'(2,4).
iv) Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).
Answer:
x>11
11,∞
Step-by-step explanation:
