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What is the length of the hypotenuse in the right angled triangle to one decimal place? (a=5cm, b=4cm)

Step 1. Use the formula a 2 +b 2 =c 2 Step 2. Square a and b to find a 2= 25 and b 2 =16 Step 3. Add a 2 and b 2 to find c 2 =41 Step 4. Find the square root of c 2 is sqrt(41)=6.403 Step 5. Round 6.403 to 6...
ER
Answered by Eleanor R. Maths tutor
4428 Views

What is the difference bewteen a gerund and a gerundive?

Technically speaking, a gerund is a verbal noun and a gerundive is a verbal adjective. Gerunds and gerudnives both look very similar - the key feature in the words is a 'nd'. For example: amandi, vivendo, po...
DP
Answered by Dharaa P. Latin tutor
8236 Views

Prove the quadratic formula for ax^2 + bx + c = 0, where a is non 0 and a,b and c are reals.

By completing the square: ax^2 + bx + c = 0 => x^2 + (bx)/a + c/a = 0 (divide both side by a, since a is non-zero) => (x + b/(2a))^2 + c/a - (b/(2a))^2 = 0 (If this is not immediately clear, try expand...
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Answered by ShenZhen N. Maths tutor
10031 Views

Evaluate the indefinite integral: ∫ (e^x)sin(x) dx

Note: for what’s about to come, ' denotes derivative with respect to x. Method 1 (integration by parts): let I = (e^x)sin(x) dx let u = sin(x), u' = cos(x) and v' = e^x = v then integrate by parts, => I =...
SN
Answered by ShenZhen N. Maths tutor
13196 Views

Why is the human circulatory system a double system?

The human circulatory system consists of the heart - a pump and a series of tubes - the blood vessels containing the blood. There is an atrium and a ventricle on each side of the heart and the two sides can ...
YZ
Answered by Yuhui Z. Biology tutor
4844 Views