Answer:
<u>x = 62 words</u>
Explanation:
→ <em>We write the data problems. </em>
372 words .............6 minutes
→ We must find: <em>What's Cynthia typing rate in words per minute?</em>
372 words .............6 minutes
x words ..................1 minute
x = 372 words * 1 minute/ 6 minutes
<u>x = 62 words</u>
Step-by-step explanation:
Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).
\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}
ES
=(4;4)−(4;−3)=
(0;7)
\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}
EJ
=(−5;−4)−(4;−3)=
(−9;−1)
cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=
∣
EJ
∣∗∣
ES
∣
ES
∗
EJ
cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;
a = 96,34°
Solution: 96 degrees.
Answer:
lower bound = 90 - 10 = 80 cm
upper bound = 90 + 10 = 100 cm
lower bound d = 1500 x 80 cm = 120,000 cm
upper bound d = 1500 x 100 cm = 150,000 cm
Answer:
Work below
Step-by-step explanation:
49 total dogs.
36 more small dogs.
13 big dogs.
lol just realized today's school has sh*t wording and this question can be taken TWO ways. 36 more as in, 36 more dogs in total or 36 more small dogs than large dogs adding the amount of large dogs with this. this gives us 49.
the only way to get the x value (large dogs) and add this on top of the 36 (small dogs) and get 49 is to do 6.5 + 42.5 (36 + 6.5) this gives us 49.
Thanks guy in the comments for giving the second response, after some thinking i realized that i could also read it that way.
F** k today's hw and their wording
Answer:
Step-by-step explanation:
We need to solve 
We know that,
Using the above formula,
![(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn](https://tex.z-dn.net/?f=%288m-3n%29%5E2%20-%20%284m%2B3n%29%5E2%3D%288m%29%5E2%2B%283n%29%5E2-2%288m%29%283n%29-%5B%284m%29%5E2%2B%283n%29%5E2%2B2%284m%29%283n%29%5D%5C%5C%5C%5C%3D64m%5E2%2B9n%5E2-48mn-%2816m%5E2%2B9n%5E2%2B24mn%29%5C%5C%5C%5C%3D64m%5E2%2B9n%5E2-48mn-16m%5E2-9n%5E2-24mn%5C%5C%5C%5C%3D48m%5E2-48mn-24mn%5C%5C%5C%5C%3D48m%5E2-72mn)
So, the final answer is .
