Haler ran farther than Tyler in 10 minutes. She covered an extra 0.05 miles compared to Tyler.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Tyler can run 1 mile in 8 minutes and 20 seconds.
Time taken = 8 mins + 20 sec (0.33 min) = 8.33 minutes
Speed = distance / time = 1 mile / 8.33 = 0.12 mile per min
In 10 minutes, distance = 0.12 mile per min * 10 min = 1.2 mile
Haler is given by:
y = 8x; where y is time and x is distance.
In 10 minutes, distance = y/8 = 10/8 = 1.25 miles
Haler ran farther than Tyler in 10 minutes. She covered an extra 0.05 miles compared to Tyler.
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3v+2 = 7v-6
3v-7v = -6-2
-4v = -8
v = 2
then the length of QS = 3(2)+2 = 6+2 = 8
and the length of TV = 7(2)-6 = 14-6 = 8
Answer:
x =48.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin x = 54 /72
Taking the inverse sin of each side
sin ^ -1( sin x) =sin ^-1 ( 54/72)
x = 48.59037789
To the nearest tenth
x =48.6
Answer:
0.75
Step-by-step explanation:
6/8 = 0.75
Or 8/6 = 1.3 repeating
Answer:
y = 6cos(π/2)t
Step-by-step explanation:
Given in the question that,
in a simple harmonic motion in which
at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.
And,
the period is given as 4 sec
We know that model equation of simple harmonic motion is
<h3>y = a. cosb(t + c) + d</h3>
here,
a is amplitude
c is Horizontal shift or phase shift
d is Vertical shift
<h3>Step1</h3><h3>Find b</h3>
Period = 2 π / b
4 = 2π / b
b = 2π/4
b = 1π/2
<h3>Step2</h3><h3>Find shifts</h3>
Horizontal and vertical shifts are 0.
So, c = 0 and d = 0
<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>
y = 6cos π/2 (t + 0) + 0
y = 6cos(π/2)t
