Answer:
b. cosine t less than 0 and cotangent t greater than 0
Step-by-step explanation:
We have the following relation

if we apply the cosine function in the relation we get:


the cosine of t is between 0 and -1 then (cosine t less than 0)
If we now apply cotangent function in the relation:


This means that cotang is greater than 0, therefore the correct answer is b. cosine t less than 0 and cotangent t greater than 0
Answer:
<h2>
$400</h2>
Step-by-step explanation:
Using the formula for calculating the simple interest expressed as;
Simple Interest = Principal * rate * time/100
Note that the principal is the amount he originally borrowed
I = PRT/100 ............ 1
Amount paid off A = Principal+Interest
A = P+I ............ 2
From equation 2; I = A-P......... 3
Substitute equation 3 into 1;
A-P = PRT/100
Given A = $440, R = 10%, Time = 1year
Substitute the given parameters into the resulting equation;
440 - P = P*10*1/100
440-P = 10P/100
440-P = 0.1P
440 = 0.1P+P
440 = 1.1P
Divide through by 1.1;
1.1P/1.1 = 440/1.1
P = $400
<em>Hence the amount Mr Noel originally borrow is $400</em>
Answer:
14.5 cm
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
c = hypotenuse (15)
to solve for b (other leg), the equation is b^2 = c^2-a^2
15^2 - 4^2 = 209
= approx. 14.5
the other leg is (rounded to the nearest 10th) 14.5 cm
A parallelogram has 4 sides.
The formula to calculate the sum of interior angles of a polygon is 180 * (n-2) where n is the number of sides.
So, a parallelogram has 180 * (4-2) = 360 degrees of interior angles.
Answer: J(25) + JS(5) = 30
Step-by-step explanation:
J = Jason
JS = Jason Sister.