Answer:
13
Step-by-step explanation:
We know that a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 =c
Answer:
The correct answer is first option. 204 m²
Step-by-step explanation:
Formula:-
Lateral surface area of square pyramid = 4 * area of triangle
<u>To find the slant height of triangle(l)</u>
l = √(6² + 6²) = 6√2
To find the area of triangle
Area = bh/2
b = 12 m
h = 6√2
Area = (12 * 6√2)/2 = 36√2
<u>To find the lateral surface area of Prism</u>
Lateral surface area of square pyramid = 4 * area of triangle
= 36√2 * 4 = 203.64 ≈ 204 m²
First answer is the correct option
You're looking for the largest number <em>x</em> such that
<em>x</em> ≡ 1 (mod 451)
<em>x</em> ≡ 4 (mod 328)
<em>x</em> ≡ 1 (mod 673)
Recall that
<em>x</em> ≡ <em>a</em> (mod <em>m</em>)
<em>x</em> ≡ <em>b</em> (mod <em>n</em>)
is solvable only when <em>a</em> ≡ <em>b</em> (mod gcd(<em>m</em>, <em>n</em>)). But this is not the case here; with <em>m</em> = 451 and <em>n</em> = 328, we have gcd(<em>m</em>, <em>n</em>) = 41, and clearly
1 ≡ 4 (mod 41)
is not true.
So there is no such number.
Answer:
y = - 
x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , then
y = - x + c ← is the partial equation
To find c substitute (8, - 9) into the partial equation
- 9 = - 20 + c ⇒ c = - 9 + 20 = 11
y = - x + 11 ← equation of line
Answer:
67 Inches
Step-by-step explanation:
There are 3 feet in a yard and 12*3 is 36 inches in a yard therefor 67 inches is larger
