Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° =
=
( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )
<u>Step 1</u>
Convert mixed fractions into fractions
6 2/5 = (6*5)+2) / 5 = 32/5
2 2/3 = (2*3)+2) / 3 = 8/3
<u>Step 2</u>
32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
<u>Step 2 (A)</u>
Get the reciprocal of the 2nd fraction:
From 8/3 to 3/8
<u>Step 2 (B)</u>
Multiply 1st fraction to the reciprocal of the 2nd fraction
32/5 * 3/8 = (32*3) / (5*8) = 96/40
<u>Step 2 (C)</u>
Simplify the fraction
96/40 divide by 4 will become 24/10
24/10 divide 2 will become 12/5. The simplest fraction of 96/40
The unit rate is 12/5 = 2 2/5 revolutions per second
Answer:
x=11, y=8/3
Step-by-step explanation:
Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then
LM=NO
and
LO=MN
Thus,

Solve this system of two equations. From the first equation:

Substitute it into the second equation:

Answer:
angle GKF because they are vertically opposite angle
Answer:
Jamyra spent 23 minutes studying last week.
Step-by-step explanation:
100 - 8 = 92
92 ÷ 4 = 23.