Answer:
68
Step-by-step explanation:
Step 1: Convert fraction to improper
4 1/4 = 16/4 + 1/4 = 17/4
Step 2: Multiply 16 and 17/4
16(17/4) = 272/4 = 68
Using the cosine double angle formula,
(Note I took the positive case since 
terminates in the first quadrant)
Using the Pythagorean identity,
(Note I took the positive case since terminates in the first quadrant)
Hi there!
Something really good to remember about trigonometry is SOHCAHTOA. I won’t dive into too much detail about it, but you should google it for future assignments.
Anyways,
tan50°=14/AB
ABtan50°=14
AB=14/tan50°
AB=11.75
cos50°=14/AC
ACcos50°=14
AC=14/cos50°
AC=21.78
For the measure of angle C you can use a theorem called the third angle theorem. In every single possible triangle, the sum of all three angles adds up to 180°. You can set up an equation like so...
angleC=180-(90+50)
angleC=180-140
angleC=40°
Answer:
133.33 years
Step-by-step explanation:
Given that:
Principal = $500
Interest rate (r) = 1.5% = 0.015
Triple amount of principal = $500 * 3 = $1500 = final amount (A)
Number of years (t) =?
Using the relation :
A = P(1 + rt)
1500 = 500(1 + 0.015t)
1500 / 500 = 1 + 0.015t
3 = 1 + 0.015t
3 - 1= 0.015t
2 = 0.015t
2 / 0.015 = 0.015t / 0.015
133.333 = t
133.33 years
Answer:
m∠E=57°
Step-by-step explanation:
∠FDE=∠FED=(4x+1)° (base angles of isos triangle)
2(4x+1)+(5x-4)=180 (angle sum of triangle)
8x+2+5x-4=180
13x-2=180
13x=180+2
=182
x=182÷13
=14
Hence, m∠E = (4x+1)°
= [4(14)+1]°
= (56+1)°
= 57°
