Answer:
172.86
Step-by-step explanation:
A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.
If that says 64 times 2, the answer is 128.
If that says 64 squared, the answer is 4096.
⭐ Answered by Hyperrspace (Ace) ⭐
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Answer:
dx/dt = 5√5/2
Step-by-step explanation:
Given:
dx/dt = 25 feet per second
According to Pythagoras theorem:
x² + 90² = y²
We know that x = 30 ft
So,
x² + 90² = y²
30² + 90² = y²
y = 30√10
So,
x² + 90² = y²
By taking differentiate:
2x dx/dt = 2y dy/dt
[x/y][dx/dt] = dy/dt
dx/dt = 5√5/2
This question is not complete because is lacks the options for each question.
Complete question
mr. whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. this data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.
1) Which number represents the rate at which the water level fell?
a. -1.05 mm/year
b. -1.8 mm/year
c. -2.48 years
d. -2.48 mm/year
2) Which number should the rate be multiplied by to find the total variation in water level?
a. 1.05 mm/year
b. 1.8 mm/year
c. 2.48 years
d. 2.48 mm/year
Answer:
1) Which number represents the rate at which the water level fell?
a. -1.05 mm/year
2) Which number should the rate be multiplied by to find the total variation in water level?
c. 2.48 years
Step-by-step explanation:
Total Variation in the water level is calculated by multiplying the rate at which the water level and number or years at which the rate of the water level fell
From the question, we can see that the rate at which the water level fell is -1.05 mm/year and number of years at which the water level fell is 2.48mm
Hence,Total Variation in the water level is calculated as
-1.05 mm/year × 2.48 years
Total variation in the water level = -2.604mm
