Work is provided in the image attached.
Although you did not include units, I just used centimeters.
However, if there were no units, then just put your answer.
If you do not understand my work,
please ask me in the comments below.
Answer:
It would take 10 years for the given sum of money be doubled at the given simple interest rate.
Step-by-step explanation:
A 10% interest would be added to the the principal amount after each year. So the interest would reach 100% i.e. equal to the principal amount in 10 years.
Answer:
yes.
Step-by-step explanation:
to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².
to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.
we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.
calculation:
a² + b² = c²
a = 8 millimetres
b = 15 millilitres
c = ?
8² + 15² = c²
64 + 225 = c²
64 + 225 = 289.
289 = c²
√289 = c
√289 = 17.
the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.
Answer:
f(x)=x^3+7
y=x^3+7
x=y^3+7
y^3=x-7
y=cube root (x-7)
f(x) inverse=cube root of x-7
Step-by-step explanation:
Answer:
3.5 fluid ounces
Step-by-step explanation:
In this question, we are asked to calculate the capacity in fluid ounce of a cone-shaped cup.
To solve this, we need to calculate the volume of the cup.
Mathematically, the volume of a cone =
1/3 * π * r^2 * h
Where r = d/2 = 2.7/2 = 1.35 inches
h = 3.3 inches
By substituting this, we have
V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch
Now we proceed to calculate the capacity
From the question, we are told that ;
1 fluid ounce = 1.8 cubic inch
This means
x fluid ounce = 6.3 cubic inch
x = 6.3/1.8
x = 3.5 fluid ounces
