<h2>log
(6
)
+
log
(
8
)
−
log
(
2
)
</h2><h2 /><h2> Answer:</h2>
Exact Form: ㏒
(
24
)
Decimal Form: 1.38021124
<h2>
Explanation:</h2><h3> Use the product property of logarithms, </h3>
㏒b
(
x) + ㏒b
(
y
) = ㏒b
(
x
y
).
㏒
(
6
⋅
8
)
− ㏒
(
2
)
.
<h3> ⇒Use the quotient property of logarithms,</h3>
㏒
b
(
x
)
−
㏒
b
(
y
)
=
㏒
b
(
x
y
)
.
㏒
(
6
⋅
8/
2
)
<h3> ⇒Reduce the expression by cancelling the common factors.
</h3>
Factor 2 out of 6
⋅8
.
log
(
2
(
3
⋅
8
) / 2
)
<h3> Divide 3
⋅
8
by 1
.</h3>
㏒
(
3
⋅
8
)
Multiply 3 by 8
.
㏒
(
24
)
<h3>The result can be shown in both exact and decimal forms.
</h3><h3> Exact Form: ㏒
(
24
)
</h3><h3> Decimal Form: 1.38021124</h3>
The diameter is 48 feet. The radius is half of the diameter, so it is 24 feet. The area can be found using the formula pi r ^ 2. So, the area is 576 pi
The three decimals that Mrs. Ibara wote were
4.15, 6.30 and 8.45
Now we have to find the other two numbers that are kept blank.
For this purpose, firstly we have to subtract the first 2 decimal numbers and find out the difference.
6.30 - 4.15 = 2.15
Now let us check the difference between the second and the third decimals.
8.45 - 6.30 = 2.15
So the difference is again the same. Then the fourth number will be
8.45 + 2.15 = 10.6
The fifth number will be
10.6 + 2.15 = 12.75
The blank spaces will be 10.6 and 12.75.
Answer:
D) y = -4/3x + 5
Step-by-step explanation:
Can be checked with a calculator or by replacing the variables into the equation.
The answer is B. The angle next to 100 degrees would be 80 as the angles are supplementary. Then you would add 80 + 70 = 150. All the angles in a triangle add to 180, thus making the "x" angle 30 due to 180 - 150.
Hope this helped :))