Solution:
<u>We know that:</u>

<em>Since we are already given the base and the height, we can substitute them into the formula to find the area of the triangle.</em>

<u>Cancel out the "2" by dividing it by 18.</u>

<u>Simplify the multiplication.</u>

Answer:
k-3 ≥8
Step-by-step explanation:
k-3 ≥8
kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.
84
7*12
14*6
21*4
The best thing to do is trial and error. You know multiples of 4 are going to be even numbers, so I now think of multiples of 7 that are also even numbers. 84 just happened to be the first number that the three aforementioned numbers divided into evenly. This method worked well for this problem because you had a small window to work within in 61-107. <span />
The scale factor to convert Figure A to B is
(0.5)
Step-by-step explanation:
Step 1; To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 6 units while its height is 4 units. Figure B has a base length of 3 units and a height of 2 units.
Step 2; To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.
The base length of figure B /the base length of figure A =
=
,
Similarly, the height of figure B / the height of figure A =
=
.
So by multiplying figure A with scale factor
we get figure B.
Answer:
= log(3)
Step-by-step explanation:
Given equation:

now,
we know the properties of log function as:
1) log(A) + log(B) = log(AB)
2) log(A) - log(B) = 
3) log(Aᵇ) = b × log(A)
therefore,
using property 3 we get

or

now,
using the property 2 we get
⇒ log(4) + log(3) + log(1) - log(4)
or
⇒ log(3) + log(1)
now,
using the property 1, we get
⇒ log(3 × 1)
or
⇒ log(3)