The line passing through points 
and 
is given by
Plug your values to get
Multiply both sides by 8 to get
Answer:
A
Step-by-step explanation:
law of sine
c/sin(C) = b/sin(B) = a/sin(A)
with the sides and corresponding angles being always opposite.
sin(90) = 1
sin(30) = 0.5
c, the Hypotenuse, is the longest side in such a right-angled triangle.
c/1 = b/0.5
b = c×0.5 = c/2
so, one side has to be half the length of the longest side (Hypotenuse).
the only answer meeting that criteria is A.
the longest side is 10×sqrt(3) = 17.32...
the side half of that is 5×sqrt(3).
and Pythagoras for such a triangle is then
c² = (c/2)² + a²
c² = c²/4 + a²
so, a² = 3c²/4
c² = c²/4 + 3c²/4
therefore we can check also the third side
15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²
correct.
A is such a triangle.
Answer:
990
Step-by-step explanation:
M/J = 2/7
J = 3/4 L
L = M + 396
7M = 2J
J = 3.5M
3.5M = 3/4 L
L = 4/3(3.5M)
L = 14/3 M
14/3 M = M + 396
11/3 M = 396
M = 3/11 × 396
M = 108
L = M + 396
L = 108 + 396
L = 504
J = 3/4 L
J = 3/4 × 504
J = 378
M + L + J = 108 + 504 + 378 = 990
Step-by-step explanation:
1. yes
2. yes
3. no
4. yes
glad! have a good day!
The right question is that the lowest altitute is 3^8 feet
You are told that the highest altitude is 3 times the lowest altitude =>
highest altitude = 3 * lowest altitude = 3 * 3^8 feet.
Now you use the ruel of mutiplication of powers with the same base: copy the base and sum the exponents => 3 * 3^8 = 3 ^(1+8) = 3^9.
Note: remember that 3 = 3^1.
Answer: 3^9 feet
