cos(30)=x/8
Rewrite the equation as
x/8=cos(30)
Multiply both sides of the equation by
8
.
8
⋅
x/8=8⋅cos(30)
Simplify both sides of the equation.
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x=4√3
The result can be shown in multiple forms.
Exact Form:
x=4√3
Decimal Form:
x=6.9282032
Answer: 0.5, 1000
Step-by-step explanation:
Answer:
Step-by-step explanation:
So here we have a 45-45-90 triangle.
This a special right triangle were the sides across from the 45 degree angles can be considered x, while the hypotenuse is two square roots of x.
Here since we have the sides across from the 45 degree angle we can conclude that 
So if we wanted the hypotenuse we would just plug in this value of x like so:
Therefore the hypotenuse is 18.
Answer:
$1,065,597.22
Step-by-step explanation:
Simple interest = Principal * Rate * Time/100
10,510 = P * 12 * 30/365*100
10,510*365*100 = 360P
383,615,000 = 360P
Note that the time was converted to years by dividing by 365
P = 383,615,000/360
P = $1,065,597.22
Hence the principal is $1,065,597.22
Answer:
ΔABX and ΔEDX
Step-by-step explanation:
Given: AX ≅ EX
BX ≅ DX
SAS implies a congruent relation with respect to Side-Angle-Side between the two required triangle.
AX ≅ EX (given)
BX ≅ DX (given)
<BXA ≅ <DXE (vertical opposite angles)
Therefore,
ΔABX ≅ ΔEDX (Side-Angle-Side, SAS, congruence property)
