Answer: 6.4 degrees
Step-by-step explanation:
a= 5 degrees temperature difference to the north gives the opposite of the triangle,
b = 4 degrees temperature difference to the west gives the adjacent,
c = temperature difference of 1 mile to the south east gives the hypotenuse.
Therefore,
Using Pythagoras equation,
c² = b² + a²
c = sqrt( 5² + 4²)
c = sqrt(41) = 6.4 degrees
Therefore, there will be 6.4 degrees temperature difference 1 mile to the south east
Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.
1. DE is equal to CD by definition since D is the midpoint of CE.
2. AE is equal to BC since opposite sides of a rectangle are equal to each other.
3. Angle AEC is equal to Angle BCE since all angles in a rectangle are right angles and all right angles are equal to each other.
4. Triangles ADE and BDC are congruent to each other because we have SAS congruence for both triangles.
5. AD is congruent to BC since they're corresponding sides of congruent triangles.
Answer:
x = log 7
Step-by-step explanation:
10^x=7
Take the log base 10 on each side
log10 (10^x)=log10 (7)
We dont need to write the 10, it is implied
log(10^x)=log (7)
The exponent goes out front since log a^b = b log a
x log 10 = log 7
log 10 = 1 since the base is 10 log10(10) =1
x = log 7
Answer:
Example: Find the radian measure of the angles −70° and 120°.
Solution: To find the radian measure of −70° we multiply −70 by the conversion factor /180. We get
Similarly, for 120° we obtain
Note that when we write an angle as a fractional amount of , for example 2/3 times we write the result either as the numerator times divided by the denominator or as the fraction times . So the two values
are equivalent ways of writing the same number. You will see both methods used in the text and in the exercises.
Example: Find the degree measure of /12.
Solution: The conversion factor for going from radians to degrees is 180/. We get
and so the radian measure of /12 is 15°.
Step-by-step explanation:
