Answer:
Step-by-step explanation:
The Pythagorean Theorem says if you have a right triangle, then relationship between the three sides is the sum of the square of each leg is the hypotenuse squared.
So 
where a and b are legs and c is the hypotenuse.
Plug in your a,b, and c. In this case it is a,6, and 8.
This means we have
Simplify where you can before we begin the solving (the moving around of things to other sides).
Now time for the solving. We are first going to get 
by itself.
To do this, we just need to subtract 36 on both sides giving us:
Now to get rid of the square on a, just square root both sides:
.
Answer: -54
Step-by-step explanation:
The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1
where,
a = first term = -2
r = common ratio = 3
n = number of terms = 4
The solution has been attached. The answer is -54
Answer:
10.4 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated using
V = 
area of base × height (h)
area of square base = 6² = 36, thus
× 36h = 120
12h = 120 ( divide both sides by 12 )
h = 10 cm
To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.
That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )
Using Pythagoras' identity then
s² = 10² + 3² = 100 + 9 = 109
Take the square root of both sides
s = 
≈ 10.4 cm
Answer:
x = 250°
Step-by-step explanation:
Inscribed angle = ½(intercepted arc measure) (inscribed angles theorem)
x is intercepted arc measure
125° is the inscribed angle
Therefore:
125° = ½(x)
Multiply both sides by 2
2*125° = x
250 = x
x = 250°
Answer:
1.25
Step-by-step explanation:
