Answer:
Let m represent the number of minutes.
Amount of water in Karla's tank: 100 + 5m
Amount of water in Jake's tank: 50 + 10m
Same amount of water: 100 + 5m = 50 + 10 m
---> 100 = 50 + 5m
---> 50 = 5m
---> 10 = m
In ten minutes, Karla's tank will have 100 + 5(10) = 100 + 50 = 150 gallons.
In ten minutes, Jake's tank will have 50 + 10(10) = 50 + 100 = 150 gallons.
Step-by-step explanation:
hope this helped!
The scale factor for area is the square of the scale factor for linear dimensions. If linear dimensions are scaled up by a factor of 10, the area is scaled up by a factor of 10² = 100.
The area of the larger box is 100×432 cm² = 43,200 cm².
The answer is C
Commutative Property of Addition
We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).
<h3>What do you mean by Residuals?</h3>
We treat both positive and negative disparities equally by squaring the residual values. We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.
We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.
To know more about the Least-Squares Line method, visit:
brainly.com/question/14940432
#SPJ4
Answer:
The answer to your question is 43 ft
Step-by-step explanation:
Data
angle = Ф = 35°
length = 75 ft
height = ?
Process
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.
sin Ф = Height / length
-Solve for height
height = length x sin Ф
-Substitution
height = 75 x sin 35
-Simplification
height = 75 x 0.574
-Result
height = 43 ft
