I believe the answer is 11.24 units.
If you are given an isosceles triangle with a vertex angle of 38 degrees, that would tell you that the other angles in the triangle are both 71 degrees.
In this case, I would use ratios of an angle to it's opposite side. Therefore, we would have: (38°)/X = (71°)/(21 units)
Now you can solve for X, algebraically, and the answer I got was 11.24 units.
Answer:
75 yard every minute
Step-by-step explanation:
Answer:
O V=202-6x; $94
Step-by-step explanation:
202 needs to be placed before the 6, eliminating options 1 and 2. It can't be option 4 because thats more than 202, leaving us with option 3. Check you answer by replacing x with 18. O V=202-6(18) ->O V=202-108 -> 202-108=$94.
Answer: Y-intercept is (0,-1/7) and the slope is -3/7
Step-by-step explanation:
State the slope and the y-intercept for the graph of each
equation y= -3/7x–1/7
To find the y-intercept,
you plug in 0 in for x for y= -3/7x–1/7
y=-3/7(0)-1/7
y=0-1/7
y=-1/7
The y-intercept is (0,-1/7)
To find the slope, you first check that the equation is in the form of y=mx+b
y= -3/7x–1/7 is in the from of y=mx +b.
The m is the slope
hence, in y= -3/7x–1/7 the slope is -3/7
ANSWER
![r=8,a_1=0.45](https://tex.z-dn.net/?f=r%3D8%2Ca_1%3D0.45)
EXPLANATION
The given series is
![\sum_{k=1}^30.45(8)^{k-1}](https://tex.z-dn.net/?f=%20%5Csum_%7Bk%3D1%7D%5E30.45%288%29%5E%7Bk-1%7D)
The k, stands for the nth term of the series.
The 3 at the top is the lasts term in the series.
We can write this in expanded form as
![0.45(8)^{1-1} + 0.45(8)^{2-1} + 0.45(8)^{3-1}](https://tex.z-dn.net/?f=0.45%288%29%5E%7B1-1%7D%20%2B%200.45%288%29%5E%7B2-1%7D%20%2B%200.45%288%29%5E%7B3-1%7D)
This will give us,
![0.45(8)^{0} + 0.45(8)^{1} + 0.45(8)^{2}](https://tex.z-dn.net/?f=0.45%288%29%5E%7B0%7D%20%2B%200.45%288%29%5E%7B1%7D%20%2B%200.45%288%29%5E%7B2%7D)
We can see that the subsequent terms are arrived at, by multiplying the previous terms by a constant number which is 8.
This constant number is called the common ratio, denoted by
![r](https://tex.z-dn.net/?f=r)
.
Thus
![r = 8](https://tex.z-dn.net/?f=r%20%3D%208)
The first term of the series is
![a_1=0.45(8)^{0}](https://tex.z-dn.net/?f=a_1%3D0.45%288%29%5E%7B0%7D%20)
This simplifies to
![a_1=0.45](https://tex.z-dn.net/?f=a_1%3D0.45)
The correct answer is C