Answer:
$145.5
Step-by-step explanation:
Answer:
Ф = ------------ = 7/5 radians
Step-by-step explanation:
"e" is inappropriate format here. Use Ф or α or similiar character for central angle.
Here, (arc length) = (radius)(central angle), or s = rФ, and so:
(central angle) = Ф = (arc length) / (radius)
7 ft
Here, Ф = ------------ = 7/5 radians
5 ft
Answer:
16 meters
Step-by-step explanation:
Step 1:
They climbed 8 meters down
Then 8 meters up to get back to ground level.
Step 2:
8+8=16
Answer:
Step-by-step explanation:
Like your other question, let's break it down systematically
6x + 9y - 9(6x - 3y + 8z)
Use the distributive property
6x + 9y - <u>9(6x - 3y + 8z)</u>
6x + 9y - 54x - 27y + 72z
Match like terms
6x - 54x = -48x
9y - 27y = -18y
72z - 48x - 18y
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
