Suppose the hypotenuse of a right triangle is 8 cm and one of the legs is 5 cm. Use the Pythagorean Theorem to find the measure of the triangle's other leg. Round the measure to the nearest whole number.

Base, B is 6cm.

Step-by-step explanation:

Pythagoras theorem states that, in a right-angled triangle (ABC) , the square of the hypotenuse (C) is equal to the sum of squares of the other two sides (AB).

Mathematically, it is given by the equation;

Adjacent² + Base² = Hypotenuse²

A² + B² = C²

Given from the question, C = 8cm, A = 5cm and B = x (unknown)

Substituting the parameters into the equation we have;

5² + x² = 8²

25 + x² = 64

x² = 64 - 25

x² = 39

Taking the square root of both sides, we have;

x = 6.25cm

To the nearest whole number x equals 6cm.

Hence, B = 6cm

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.