Answer:
1. 0.8 cm
2. 1.6 cm
Step-by-step explanation:
1.
The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".
We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.
So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

Hene, 0.8 centimeters would be the distance in 2nd map
2.
A scale of 1:50 means 1 cm equal 50 cm
So, 0.8m would be
0.8 * 100 = 80 cm
Hence, 80 cm would be represented by 80/50 on the map, that is:

That is 1.6 centimeters
Answer:
Step-by-step explanation:
Given that latitude and longitude describe locations on the Earth with respect to the equator and prime meridian.
Latitude High Temp
("N)
12 53
16 41
30 67
36 63
32 70
11 58
10 61
33 67
30 72
Slope 0.732
Int -21.56266667
Regression line is y = 0.732x-21.563 where x represents the latitude and y high temperature
Since slope = 0.732, we get temp increases by 0.8 degree for 1 degree increasenorth in latitude
Hence option c is right
Answer:
x=15
Step-by-step explanation:
Hello there!
The shown angles are vertical angles
if you didn't know vertical angles are congruent
That being said we can create equation
5x + 40 = 115
now we solve for x
step 1 subtract 40 from each side
40 - 40 cancels out
115 - 45 = 75
now we have 75 = 5x
step 2 divide each side by 5
5x/5=x
75/5=15
we're left with x = 15
Answer:
Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
5x-4=9
5x=9-4
5x=5
x=1