Answer:
t = 9w
Step-by-step explanation:
Since you want to find the total amount of dollars (t), you will set the equation equal to that variable.
t = ____
Now, the question is asking for to find the total amount of money in a certain amount of weeks, so we know we'll calculate the total through the rate of <em>per week</em>.
t = _ * w
The last step is simply to find the rate of a bus pass <em>per week</em>. A bus pass costs $9 <em>every week</em>. So to find the total (t), you just have to multiply 9 by the number of weeks (w).
t = 9w
Hope this helps!
Step-by-step explanation:
The volume of the shell is the volume of the outer sphere minus the volume of the inner sphere.
V = 4/3 π (r+h)³ − 4/3 π r³
V = 4/3 π (r³ + 3r²h + 3rh² + h³) − 4/3 π r³
V = 4/3 π r³ + 4π r²h + 4π rh² + 4/3 π h³ − 4/3 π r³
V = 4π r²h + 4π rh² + 4/3 π h³
If h = 0.1 r:
V = 4π r² (0.1 r) + 4π r (0.1 r)² + 4/3 π (0.1 r)³
V = 0.4π r³ + 0.04π r³ + 0.00133π r³
V = 0.44133π r³
Using the approximation:
V = 4π r² h
V = 4π r² (0.1 r)
V = 0.4π r³
The approximation is reasonable if h is small compared to r.
Answer:sin F = 4/5
cos F = 3/5
tan D = 3/4
Explanation:First, we have sin an angle = 4/5
In a right-angled triangle:
sin theta = opposite / hypotenuse
This means that in triangle DFE:
The hypotenuse = 5 units
one of the sides = 4 units
Use Pythagorean theorem to get the other side as follows:
hypotenuse^2 = side1^2 + side2^
25^2 = 4^2 + side2^2
side2^2 = 9
The second side of the triangle = 3 units
The special trig functions are as follows:
sin theta = opposite / hypotenuse
cos theta = adjacent / hypotenuse
tan theta = opposite / adjacent
From the attached figure and based on the calculations above:
sin F = 4/5
cos F = 3/5
tan D = 3/4
Hope this helps :)
3/16, because 3/8 ÷ 2/1 comes out to be 3/16
You can use a system of equations to solve this problem. Let one equation be the sum of the sides and the other equation be the difference of the equations. Using elimination method you get 4 & 14.
4+14=18
14-4=10