Unit 1 Test IB Math 2 of 5
POSSIBLE POINTS: 20
(Maximum mark: 6]
25
A cuboid has the following dimensions: length = 9.6 cm, width = 7.4 cm, and height = 5.2 cm.
(a) Calculate the exact value of the volume of the cuboid, in cm?
[2]
(b) Write your answer to part (a) correct to
(i)
two decimal places;
(ii)
three significant figures.
[2]
(c) Write your answer to part (b) (ii) in the form a < 10%, where 1 Sa<10 and k e z.
2
BI SE

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

honesty mood

step-by-step explanation:

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}