Answer:
Slope -x, y intercept 9
Step-by-step explanation:
Equilateral triangle mean every sides and angles are equal
so the measure of angles is 60 degrees
given that has an altitude of 15 m so this mean that
sin 60 = altitude / hypotenuse
sqrt3 /2 = 15/hyp.
hyp. = 15/(sqrt3 /2)
hyp. = 30/sqrt3 = 30sqrt3 / 3 = 10sqrt3
so in this way ve got that a side length is equal 10sqrt3 and the perimeter
P = 3*10sqrt3
P = 30sqrt3 m so the 3rd choice is right,correct sure
hope helped
Hello:
<span>360t +10t^3 - 120t² = 10t(36t +t² -12t)</span>
Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor = 
= 
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
= 
= 
= 
= 
Length of GH = Distance between G(0, -1) and H(-1, 0)
= 
= 
Scale factor = 
= 7
Answer:
a) 5.13beats/min
b) 2.82 beats/min
Step-by-step explanation:
Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75
If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;
y = 600(39)^-1/3
y = {600(1/39)}/3
y = 600/39×3
y = 600/117
y ≈ 5.13beats/min
The instantaneous rate for a 39 inches tall person is 5.13 beats per min
b) For a 71inches tall person, the beat rate will be expressed as;
y = 600(71)^-1/3
y = {600(1/71)}/3
y = 600/71×3
y = 600/213
y ≈ 2.82 beats per minute
The instantaneous rate for a 71 inches tall person is 2.82 beats per min
