Step-by-step explanation:
So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...
Step 2: Make sure all radicals are simplified. ...
Step 3: Simplify the fraction if needed.
Answer:
Step-by-step explanation:
angle 2 and angle 3 are linear pair
angle 1 and angle 7 are alternate exterior angle
angle 4 + angle 7=a80 degree
124 + angle 7=180
angle 7=180-124
angle 7=56 degree
angle 1 is supplementary to angle 2 ,angle 4, angle 6, angle 8 .In supplementary angle sum of two angle is always 180 degree.
angle 4 and angle 5 are supplementary angles because their sum is equal to 180 degree.
angle 4 + angle 5(being co interior angle)
3x+17+x+23=180
4x+40=180
4x=19=180-40
x=140/4
x=35
Answer:
£10386.34
Step-by-step explanation:
The amount in an account for a principal P saved at compound interest for a period of n years at an annual rate of r% is calculated using the formula:
In this case:
Principal, P=£9500
r=1.8%=0.018
n=5 years
Therefore:
At the end of 5 years, Annie will have £10386.34
Answer:
BC 4 in
Step-by-step explanation:
The steps for construction;
- Using a ruler draw line AB 4 inches and label the end points A and B
- At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
- Mark that point C.
- Using the ruler, join point C and B and measure BC.
From calculation, length BC can be found by the formula;
------where a=b=4 in , cos A = cos 60°
BC = 4 in
Answer: 24.5 inches
Step-by-step explanation:
Luca used 587.19 inches for 35 players and 2 coaches:
= 35 + 2
= 37 people.
The inches per person used for headband is:
= 587.19/37
= 15.87 inches
Luca then used 302.05 inches for just players who number 35 to make wristbands. Inches used per player is:
= 302.05/35
= 8.63 inches
Fabric used for each player is therefore:
= 15.87 + 8.63
= 24.5 inches
