Answer:
Let F = Fran's income
Let W = Winston's income
Combined income is 80000 ==> F + W = 80000
One quarter of Winston's income is the same as one-sixth of Fran's income ==>
(1/4)*W = (1/6)*F
Multiply the 2nd equation by 12 to clear the fractions
3*W = 2*F
Solve this equation for F
F = (3/2)*W
Substitute this value for F into the 1st equation
(3/2)*W + W = 80000
(5/2)*W = 80000
W = (2/5)*80000 = 32000
So F = 80000 - 32000 = 48000
So Winston earns 32000 and Fran earns 48000
Check: One quarter of Winston's income is 32000/4 = 8000
One sixth of Fran'e income is 48000/6 = 8000
Step-by-step explanation: Hope this helps
Answer:
104.127 m
Step-by-step explanation
In the question instead of chi, it would be kite.
Given: Distance of Brooke from the base of tree is 50 meters.
The kite is directly above the 10 m tree in the 125 m string is fully extended.
Lets assume the height of the kite be "x".
Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.
Using Pythagorean formula:
h²= a²+b²
⇒
⇒
⇒
Subtracting both side by 2500
⇒
Square rooting both side, we know√a²=a
⇒ 
∴ x= 114.127 meter.
Next, we know the value of x include the height of tree.
∴ Height of kite flying above tree= 
⇒ Height of kite flying above tree= 
Hence, the height of kite above the tree is 104.127 meters.
Answer:
19.4in
Step-by-step explanation:
1) formula for area of a triangle:
(b*h)/2=a
the area and height are already given so lets substitute them in the formula.
(b*23.8)/2=230.86
1) multiply by 2 on both sides
b*23.8=461.72
divide by 23.8 on both sides
b=19.4
the base is 19.4 in
hope this helps
Answer:
hey
Step-by-step explanation:
formula used here
<h2>cos inverse (-theta)= π- cos inverse theta</h2>
see the attachment above
option c
Answer:
-8 km
Step-by-step explanation: