Answer:
1
Step-by-step explanation:
Using the rule of logarithms
log x + log y ⇔ log(xy)
b = 1
Hence
log 5 + log 2 = log(5 × 2) = log 10 = 1
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.
How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.
So, substituting our values in, we have:
(2.6)² + (8.1)² = (8.6)²
Performing the necessary calculations, we have:
6.76 + 65.61 = 73.96
72.37 ≠ 73.96
Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
Answer:
6x6=36
Step-by-step explanation:
Answer: Not fair
Step-by-step explanation: Since the fractions and rations are unbelievably rigid, this question is no doubt going to the creaser side.
Answer:
The missing side is 8 ft long
Step-by-step explanation:
According to Pythagoras theorem <em> "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"</em>
mathematically it is stated as
Given that
c, hypotenuse= 17 ft
a = 15 ft
b= ?
Applying the Pythagoras theorem formula by inserting our given parameters and solving for b we have
Making b subject of formula we have
Square root both sides we have
Hence the missing side is 8 ft long
