Answer:
Option D
Step-by-step explanation:
In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles
The Rule says
Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.
Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.
Example
in first option we can apply Sine Rule as
Answer: D. The length is 13 units.
Step-by-step explanation:
(-1, -3 ) Find the difference between the x values and y values.
(11, -8)
-3-(-8) = 5
-1-11 = -12 now find the absolute values.
The absolute value of 5 is 5 . The absolute value of -12 is 12.
Now use the Pythagorean Theorem formula a^2 + b^2 =c^2 where c square is the length between AB.
5^2 + 13^2 = C^2
25 + 144 = c^2
169=c^2
c= 13
Answer:b
Step-by-step explanation:
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.
a = b and c ≠0, then a c = a c . Another example Consider the equation 12 = 12. Divide both sides by 4.
Answer
The distance between to her house and the school is 1.575 miles.
Step by step explanation
Eugene walked all the way to school = 3mph
She ran back at the rate (r) = 7 mph
Let's "d" is distance between her house and the school.
time(t) = distance/rate
Time taken = 45 minutes
d/3 + d/7 = 45/60
Now we have to find the LCD of 3 and 7, that is 21
(7d + 3d)/21 = 45/60
10d/21 = 45/60
Cross multiply and find the value of "d"
10d * 60 = 45*21
600d = 945
d = 945/600
d = 1.575 miles
