Answer:
6.00 %
Step-by-step explanation:
205.00 × 0.060= 12.3
205.00 + 12.3= $217.30
Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.
Area of a rectangle: 2(L+W)
length: 4+W
Area: 2(4+W) + 2W = 96
8+2W+2W = 96
8+4W = 96
4W = 88
W= 22cm
Calculate for length: 2L + 2(22) = 96
2L + 44 = 96
2L = 52
L = 26cm
• The length is 26cm and width is 22 cm.
The correct answer to this question is C. equation, –3
The equation is
<span>y = 9x - 4x^2
</span>y = -4x^2 + 9x
y = -x(4x - 9)
The steepest rate of change from x = 1 to x =2
x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x =3 ; y = -4
So, based from the table show, the steepest rate of change is <span>C. equation, –3</span>
Write the hours as ratio
Carrie : Jerry
2 : 5
Put this ratio in words, we say 'for every two hours Carrie takes to inspect a case, Jerry would need 5 hours'
Carrie has done 30 minutes on a case before taking a break. It means Carrie has 1.5 hours left on the case if she was to continue it.
We need to work out the proportion of the time Jerry would take in comparison to 1.5 hours that Carrie would have taken.
First, we divide 2 by 1.5 ⇒

Then we divide 5 by 4/3 ⇒

hours
Jerry would have taken 3.75 hours to finish the rest of the case