Answer:
20√3 cm
Step-by-step explanation:
Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.
<u>Let the altitude be x. Then as per Pythagorean theorem:</u>
- x² = 40² - (40/2)²
- x²= 1600 -400
- x²= 1200
- x= √1200
- x= 20√3 cm
<u>Correct choice is</u> the second one
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x
Answer:
(a) The constant of proportionality is 0.25
(b) 1 apple = $0.25
(c) $3 = 12 apples
Step-by-step explanation:
Given
Solving (a): The constant of proportionality;
For an equation:
Where
k = constant of proportionality
By comparing: to
Hence, the constant of proportionality is 0.25
Solving (b): What information does gives.
It represents the unit rate.
<em>So, it means that 1 apple costs $0.25</em>
<em></em>
Solving (c): Number of apples for $3.
This means that
Substitute 3 for c in
Make n the subject
Answer:
No savings
Step-by-step explanation:
Let the interest rate be same for all the loans and consider it to be R.
<u>First case</u>
Principal 1 = 2000
Time = 12 moths = = 1 year
Rate = R %
So, interest 1 = Principal * Time * Rate
= 2000 * 1 * R
= 2000R
Now,
Principal 2 = 1000
Time = 12 moths = = 1 year
Rate = R %
So, interest 2 = Principal * Time * Rate
= 1000 * 1 * R
= 1000R
Total interest to be paid = 2000R + 1000R
= 3000R
<u>Second case</u>
Principal = 3000
Time = 12 moths = = 1 year
Rate = R %
Interest = Principal * Time * Rate
= 3000 * 1 * R
= 3000R
We conclude that there would be no savings because the interest to be paid in both the cases are same.