To write a decimal into a percentage, you multiply it by 100. So, to write a percentage into a decimal, you would divide by 100. 24.1% ÷ 100 = 0.241. So, 24.1 as a decimal is 0.241. (Also, it could not be 241 or 2,410 because those are not decimals...and the question is asking for a decimal number)
Answer:
Step-by-step explanation:
6x + 10y = 12
-20x - 10y = 30
-14x = 42
x = -3
4(-3) + 2y = -6
-12 + 2y = -6
2y = 6
y = 3
(-3, 3)
Answer:
original price = $129
20% discounted price = $103.2
adding 7% sales tax = $110.424
OPTION B = 110.42
Given:
height : 3 feet
base : 19 feet
Area of a triangle = (height * base) ÷ 2
A = (3 ft * 19 ft) ÷ 2
A = 57 ft² ÷ 2
A = 28.5 ft²
The area of the figure is 28.5 ft². Choice A.
Answer:
cot(x)=-sqrt(3)/3
Step-by-step explanation:
I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.
Plug in:
sin^2(x)+(-1/2)^2=1
Simplify:
sin^2(x)+1/4=1
Subtract 1/4 on both sidea:
sin^2(x)=3/4
Square root both sides:
sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]
cot(x)=(-1/2)/(sqrt(3)/2))
cot(x)=-1/sqrt(3)
Rationalize denominator by multiplying by sqrt(3)/sqrt(3):
cot(x)=-sqrt(3)/3
cot(x)=