Answer:
<em>∠B is the largest interior angle of the triangle, and AC is the</em><em> largest</em><em> side.</em>
Step-by-step explanation:
Relationship of sides to interior angles in a triangle-
- The shortest side of a triangle is always opposite to the smallest interior angle.
- The longest side of a triangle is always opposite to the largest interior angle.
So converse of the second property is the side opposite to the largest interior angle is always the largest side.
As ∠B is the largest interior angle of the triangle, so its opposite side which is AC will be the largest side.
1. This shape is called a parallelogram and it’s area formula is A=W*H, so you would plug in 12 1/3 for H and 17 1/5 for W. The answer would be 215yd.
2. This is a triangle and it’s area formula is A=1/2bh. Plug in 14 as H and 17 for b. The answer would be 119ft.
Answer:
19.9 miles
Step-by-step explanation:
In this problem we have:
is the distance travelled during the 1st day
is the distance travelled during the 2nd day
is the distance travelled during the 3rd day
is the distance travelled during the 4th day
We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:
![d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2](https://tex.z-dn.net/?f=d_2-d_1%3D0.3%5C%5Cd_3-d_2%3D2%5Ccdot%200.3%20%3D%200.6%5C%5Cd_4-d_3%3D2%5Ccdot%200.6%20%3D%201.2)
Which can be rewritten using the general formula:
![d_{n+1}-d_n=2(d_n-d_{n-1})](https://tex.z-dn.net/?f=d_%7Bn%2B1%7D-d_n%3D2%28d_n-d_%7Bn-1%7D%29)
This means that
![d_{n+1}=d_n+2(d_n-d_{n-1})](https://tex.z-dn.net/?f=d_%7Bn%2B1%7D%3Dd_n%2B2%28d_n-d_%7Bn-1%7D%29)
By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:
![d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi](https://tex.z-dn.net/?f=d_1%3D1%5C%5Cd_2%3D1.3%5C%5Cd_3%3D1.9%5C%5Cd_4%3D3.1%5C%5Cd_5%3D3.1%2B2%5Ccdot%201.2%3D5.5%5C%5Cd_6%3D5.5%2B2%5Ccdot%202.4%3D10.3%5C%5Cd_7%3D10.3%2B2%5Ccdot%204.8%3D19.9%20mi)
So, the distance travelled on the 7th day is 19.9 miles.
Answer:
22x+10y
Step-by-step explanation:
15x + 2y + 7x + 8y ----> 22x+10y