Answer:
Step-by-step explanation:
This is a proportion question. We can express this as an equation where the answer is
x:

=

From there, you can just cross-multiply and divide to get:

A tenth of 250 is 25, so this is roughly

or

, so it'll be approximately 1.7 inches on the map.
<h3>
Answer: 226 degrees</h3>
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Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
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Use this x value to find the measure of arcs DC and CB
- arc DC = 12x+7 = 12*5+7 = 67
- arc CB = 18x-23 = 18*5-23 = 67
We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
Answer:
<h2><u><em>
8.17</em></u></h2>
Step-by-step explanation:
- <em>What is the number between 8.1 and 8.24?</em>
<em></em>
<em>Add the numbers and divide by 2 and you will find the average</em>
(8.1 + 8.24) : 2 =
8.17
8.17 is exactly half way between them.
Answer:
<u>f(x) = -1/4(x - 0)^2 - 2</u>
Step-by-step explanation:
vertex form:
f(x) = a(x - h)^2 + k
<em>1) put the vertex in the equation, ( (h, k) is the vertex)</em>
f(x) = a(x - 0)^2 - 2
<em>2) plug in the point (8, -18) to find the value of a</em>
-18 = a(8 - 0)^2 - 2
-18 = a(64) - 2
-16 = a(64)
-16/64 = a
-1/4 = a
<em>3) plug in the value of a into the equation</em>
<u>f(x) = -1/4(x - 0)^2 - 2</u>