Answer:
T = 96
Step-by-step explanation:
From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:
T ∝ 1/H
T = K/H
Cross multiply
K = TH
Next, we shall determine the value of K. This can be obtained as follow:
H = 8
T = 120
K =?
K = TH
K = 120 × 8
K = 960
Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:
H = 10
K = 960
T =.?
T = K/H
T = 960/10
T = 96
A reasonable estimate for 8.24 divided by 4 would be 2. This would be a reasonable estimate because .24 rlly isn’t all that much so you are able to round down to 8. (Hope that’s right!)
Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
Given:
John had to pay a combined electric and gas bill $150.
The electric portion of the bill was $90.
To find:
The ratio of money spent on electric to that on gas.
Solution:
Let x be the amount of gas bill.
The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,



The gas portion of the bill was $60.
The ratio of money spent on electric to that on gas is:




Therefore, the ratio of money spent on electric to that on gas is 3:2.
94.2 in would be your answer