Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.

The expression 5(7 − 4)2 ÷ 3 + 11 is equal to 20.9

Solution:

Given expression is 5(7 − 4)2 ÷ 3 + 11

We need to evaluate the given expression

Let us use "BODMAS" rule

BODMAS means sequence of operations which are Brackets, Order, Division, Multiplication, Addition and then Subtraction.

Now solve the given expression

5(7 − 4)2 ÷ 3 + 11

First "brackets" are to be solved as per BODMAS

5(3)2 ÷ 3 + 11

Now division is performed, 2 is divided by 3 to give 0.66

Now "brackets" is solved

Now multiplication is performed

9.9 + 11

Atlast, addition is performed

20.9

Hence 5(7 − 4)2 ÷ 3 + 11 is equal to 20.9

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.