Answer:
r= 0
r= 1
b= -3
x= -3
Step-by-step explanation:
4r-8r=0
-4r=0
r=0
-15=-8r-7r
-15= -15r
r=1
3b+7-1=-3
3b= -3-7+1
3b= -9
b= -9/3
b=-3
3x+1-6x=7
-3x= 7-1
-3x= 6
x= -6/3
x= -3
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Answer:
The height of the lighthouse is approximately 166.6 feet.
Step-by-step explanation:
Let the height of the lighthouse be represented by s, then;
Tan 48° = (opposite) ÷ (adjacent)
Tan 48° = s ÷ 150
⇒ s = 150 × Tan 48°
= 150 × 1.1106
= 166.59
s ≅ 166.6 feet
Therefore, the height of the lighthouse is approximately 166.6 feet.
The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is
(<em>d</em> - <em>b</em>) / (<em>c</em> - <em>a</em>)
i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of
(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)
Here, we have
<em>f(x)</em> = <em>x</em> ²
so that
<em>f</em> (1) = 1² = 1
<em>f</em> (1.01) = 1.01² = 1.0201
Then the slope of the secant line is
(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01
The rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
<h3>What is the volume?</h3>
The formula for volume of a cube is given as;
Volume = a³
Where:
a = length of its side
From the information given, we have;
V = s³
Where s = 15 centimeters
Substitute the value into the formula
v = (15)³
v = 3375 centimeters
Thus, the rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
Learn more about a cube here:
brainly.com/question/1972490
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