2^t =38
take the log of each side
log ( 2^t) = log (38)
the exponent gets multiplies
t log (2) = log (38)
divide by log 2
t = log(38)/log (2)
t≈5.2479
Answer:
a=15
Step-by-step explanation:
By pythagoras' theorem
25²=20²+a²
625=400+a² group like terms
a²=625-400
a²=225

therefore a=15
Answer:
da one in the middle and i do relize this is a test becuse i just took it.
Step-by-step explanation:
Answer:
The point at (-7, -5) = a
The point at (9, 3) = b
The point at (-3, 7) = c
The "a" point of the triangle is 12 units away from the center point.
So, 12 x 1/4
=> 12/4
=> 3
So, the "a" point of the dilated figure is 3 units left from the center.
=> So, the dilated "a" point is at (2, -5)
The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.
=> 8/4 = 2
So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.
=> So, the dilated "b" point is at (6, -3)
The "c" point is 12/8 units away from the center point.
=> 12/8 x 1/4
=> 3/2
So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.
=> So, the dilated "c" point is at (3, -2)
10,000 is 8.33% of 120,000.
10,000 / 120,000 = 0.0833 * 100% = 8.33%
Assuming that the whole and percentage is given. find the value of the percentage.
120000 * 8.33% = 9996 ⇒ 10,000
If the percentage is given and its corresponding value. find the whole
10,000 / 8.33% = 120,048 ⇒ 120,000