Answer:
Its 7.333333333333333333 (3 forever)
First you isolate y onto one side of the equation
y/9= 44/54 --> y = 9 x 44/54
Multiply the right side of the equation
9 x 44/54 = 396/54
Now divide to get the whole answer
396/54 = 7.3333333333 (3 forever)
y = 7.333333
Answer:
13.3 ft
Step-by-step explanation:
We are being asked to find an unknown side length in a triangle with two given angles and the side between them. The law of sines is applicable, but we need to know the angle opposite the given side.
Angle M has a value that makes the sum of angles be 180°, so it is ...
∠M = 180° -61° -38° = 81°
The law of sines tells you the length of side MP is ...
MP = NP·sin(N)/sin(M) = (15 ft)·sin(61°)/sin(81°)
x = MP ≈ 13.3 ft
Answer:
3.5 inches
Step-by-step explanation:
We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.
Since they are similar figures, their corresponding sides are proportional.
The 4 inch side of left figure corresponds to 16 in side of right side figure.
The "?" inch side of left figure corresponds to 14 in side of right side figure.
We can replace "?" with "x" and setup two ratios and equate them:

Now, we can cross multiply and solve for x:

Hence,
the unknown side marked "?" is equal to 3.5 inches
Answer:
27. <
28. <
29. =
30. =
Step-by-step explanation:
For absolute value, the value can never be negative unless a negative sign is in front of the absolute value equation. For example |-4| is positive 4 ,but -|-4| is -4. Another way is if you know what multiplying each sign is.
For the fractions, you need to change the fractions to a equal denominator. Hope this helps.