Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:

Choice 1. He did not square 40, he just multiplied by 2.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The hypotenuse measures c cm while the other sides are 40 cm and 9 cm each.
Step 2:
According to the Pythagorean theorem,




This is the correct solution to the given problem. Hans did not square 40, he just multiplied by 2. Which is the first option.
Answer:
yes
Step-by-step explanation:
you would get results bc results are results
Answer: 9
Step-by-step explanation: Here, we have the expression <em>4x - 7</em> and we want to evaluate the expression when <em>x</em> is equal to 4.
To evaluate an expression, we simply plug the value
of the variable into the expression and solve.
So here, since <em>x</em> is equal to 4, we have 4(4) - 7.
4(4) is equal to 16.
So we have 16 - 7 which is equal to 9.
So the value of our expression when <em>x</em> is equal to 4 is 9.