Answer:
9 kids
Step-by-step explanation:
The answer to this question is $57.02
Answer:
1) 39
2) 59
3) 53
4) 38
5) 9
6) 12
7) 15
8) 11
Step-by-step explanation:
if the angles together is a right angle than you just subtract the angle that is known from 90 and you get your other angle.
1) 90 - 51 = b = 39
2) 90 - 31 = b = 59
3) 90 - 37 = b = 53
4) 90 - 52 = b = 38
5) 90 - 56 = 34
34 = 3x + 7
3x + 7 - 7 = 3x
34 - 7 = 27
3x = 27
3x / 3 = x
27 / 3 = 9
6) 90 - 48 = 42
42 = 3x + 6
3x + 6 - 6 = 3x
42 - 6 = 36
3x = 36
3x / 3 = x
36 / 3 = 12
7) 90 - 47 = 43
43 = 2x + 13
2x + 13 - 13 = 2x
43 - 13 = 30
2x = 30
2x / 2 = x
30 / 2 = 15
8) 3x + 5x + 2 = 90
8x + 2 = 90
8x + 2 - 2 = 8x
90 - 2 = 88
8x = 88
8x / 8 = x
88 / 8 = 11
Answer:
(a) ln(x) = 0
Then 0 < x < 1
(b) e^x > 2
Then ln2 < x < ∞
(a) ln(3x - 17) = 5
x = 55.1377197
ln(a + b) + ln(a - b) - 5ln(c)
= ln[(a² - b²)/c^5]
Step-by-step explanation:
First Part.
(a) ln(x) < 0
=> x < e^(0)
x < 1 ....................................(1)
But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.
In fact the values of x that satisfy this inequalities are between 0 and 1.
Therefore, we write:
0 < x < 1
(b) e^x > 2
This means x > ln2
and must be finite.
We write as:
ln2 < x < ∞
Second Part.
(a) ln(3x - 17) = 5
3x - 17 = e^5
3x = 17 + e^5
x = (1/3)(17 + e^5)
= 55.1377197
Third Part.
We need to write
ln(a + b) + ln(a - b) - 5ln(c)
as a single logarithm.
ln(a + b) + ln(a - b) - 5ln(c)
= ln(a + b) + ln(a - b) - ln(c^5)
= ln[(a + b)(a - b)/(c^5)]
= ln[(a² - b²)/c^5]
Answer:
Using the derived property of 2 similar triangle.
x/28 = 30/25
=> x = 30x28/25 = 33.6
D is correct
