The two triangles are similar and equal therefore; It means the corresponding sides are equal and the corresponding angles are equal. Hence;
ZX=EF, thus,ZX = 1.3 in.
EG = XY, thus, EG = 3.0 in.
m∠ X = m∠E, thus m ∠X = 48°
m∠ G = m∠Y, and angles in a triangle add up to 180 thus;
m ∠ G=180- (107 +48) = 25°
Answer: Height of the water is 20 cm.
Step-by-step explanation:
Since we have given that
Base area = 100 square cm
volume of vase shaped like an octogonal prism = 2 liters
We need to find the height of water.
and 1 liter = 1000 cm³
2 liters = 2×1000 cm³
As we know the formula for "Volume":
Hence, height of the water is 20 cm.
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
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Answer:
54
Step-by-step explanation:
its a sequence. they are multiplying by 3 each time.
