Here is a right-angled triangle. y cm
8.2 cm
12.3 cm
Work out the value of y.
Give your answer correct to 1 decimal place.

9.1

Step-by-step explanation:

Let,

hypotenuse = 12.3 cm

perpendicular = 8.2 cm

base = y cm

(hypotenuse)^2 = (perpendicular)^2 + (base)^2

(12.3)^2 = (8.2)^2 + y^2

151.29 = 67.24 + y^2

151.29 - 67.24 = y^2

.: y^2 = 84.05

y = √84.05

y = 9.1

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9