1. You should draw a diagram with the information given in the problem. As you can see in the figure attached, there are two triangles, so, you can calculate the height of the lamp post as below:
h1/b1=h2/b2
h1 is the height asked.
b1=360 cm+ 90 cm
b1=450 cm
h2=160 cm
b2=90 cm
2. When you substitute these values into h1/b1=h2/b2, you obtain:
h1/450 cm=160 cm/90 cm
3. Now, you must clear the height "h1". Then, you have:
h1=(160 cm)(450 cm)/90 cm
h1=72000 cm²/90 cm
h1=800 cm
<span>
How high is the lamp post?
</span>
The answer is: 800 cm
The measure of angle D in the inscribed triangle is as follows;
∠D = 63 degrees
<h3>How to solve circle theorem?</h3>
The circle theorem can be use to find the ∠D as follows;
The triangle BCD is inscribed in the circle.
Using circle theorem,
The angle of each triangle is double the angle of the arc it create.
Therefore,
arc BC = m∠D
m∠B = 134 / 2 = 67 degrees.
Therefore, using sum of angles in a triangle.
67 + 50 + m∠D = 180
m∠D = 180 - 50 - 67
m∠D = 63 degrees.
learn more on circle theorem here: brainly.com/question/19906313
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<span>$84 to 12%
</span>10.08
is the answer
Tomas used incorrectly the rule of signs, the expression should be simplified as follows:
-2.6 + (-5.4)
-2.6 -5.4 = 8
<h3>
</h3><h3>
What mistake did Tomas likely make?</h3>
Here Tomas wants to perform an addition between two numbers:
-2.6 + (-5.4)
And the outcome that Tomas gets is:
-2.6 + (-5.4) = 2.8
Here his mistake seems to bee that he thought the second number was a positive number, and he solved the operation:
-2.6 + 5.4
So, he used wrong the rule of signs.
Remember that the rule of signs says that:
(-)*(+) = (+)*(-) = (-)
Using that, we can rewrite the original expression:
-2.6 + (-5.4)
to:
-2.6 - 5.4
Solving that, we get:
-2.6 - 5.4 = -8
Which is the outcome that Tomas would have gotten if he had used correctly the rule of signs.
If you want to learn more about the rule of signs:
brainly.com/question/13333620
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The formula in solving the length of an arc is shown below:
Length of an Arc = 2pi*r (central angle/360°)
Central angle = 54pi * (180°/pi)
r = 34 cm
Solving for an arc length"
Arc length = 2*3.14*34((54*180)/360)
Arc length = 5,765.04 cm
The answer is 5,765.04 cm.
