9514 1404 393
Answer:
A, B, C, E, D
F, G, H, I, J
Step-by-step explanation:
You can go at this a couple of ways.
Consider the squares of number 1 through 9.
![\begin{array}{cccccccccc}n&1&2&3&4&5&6&7&8&9\\n^2&1&4&9&16&25&36&49&64&81\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccccccccc%7Dn%261%262%263%264%265%266%267%268%269%5C%5Cn%5E2%261%264%269%2616%2625%2636%2649%2664%2681%5Cend%7Barray%7D)
Then when the number under the radical is close to n², the root on the number line will be close to n.
The other way you can do this is to find the square root using your calculator.
- √10 ≈ 3.2 ⇒ A
- √35 ≈ 5.9 ⇒ B
- √48 ≈ 6.9 ⇒ C
- √71 ≈ 8.4 ⇒ E
- √54 ≈ 7.3 ⇒ D
- √19 ≈ 4.4 ⇒ F
- √89 ≈ 9.4 ⇒ G
- √6 ≈ 2.4 ⇒ H
- -√20 ≈ -4.5 ⇒ I
- -√2 ≈ -1.4 ⇒ J
The width of the triangle is 16 meters on each side so then 14 x 2 = 28
16 x 2 = 32 32 + 28 = 60, You're welcome!
Answer:
y
=
−
4
+2x/3
Step-by-step explanation:
First, we are going to add these two vectors.
then
We are going to calculate the argument of the result vector.
<span>u= <4,-1> and v= <3,5>
![u+v=\ \textless \ 4,-1\ \textgreater \ +\ \textless \ 3,5\ \textgreater \ =\ \textless \ 7,4\ \textgreater \](https://tex.z-dn.net/?f=u%2Bv%3D%5C%20%5Ctextless%20%5C%204%2C-1%5C%20%5Ctextgreater%20%5C%20%20%2B%5C%20%5Ctextless%20%5C%203%2C5%5C%20%5Ctextgreater%20%5C%20%3D%5C%20%5Ctextless%20%5C%207%2C4%5C%20%5Ctextgreater%20%5C%20)
![|u+v|=|\ \textless \ 7,4\ \textgreater \ |= \sqrt{7^2+4^2} = \sqrt{65}](https://tex.z-dn.net/?f=%7Cu%2Bv%7C%3D%7C%5C%20%5Ctextless%20%5C%207%2C4%5C%20%5Ctextgreater%20%5C%20%7C%3D%20%5Csqrt%7B7%5E2%2B4%5E2%7D%20%3D%20%5Csqrt%7B65%7D%20)
</span><span>
</span>
<span>>>rounded to the nearest tenth:
![\sqrt{65} =8.1](https://tex.z-dn.net/?f=%20%5Csqrt%7B65%7D%20%3D8.1)
</span>
Answer:
a. d = 1500 - 300t. b. after 2 hours and after 4 hours
Step-by-step explanation:
a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t is given by
d = 1500 - 300t.
b.If Jamie distance d = 900 ft, then the equation becomes,
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
The equation d = 1500 - 300t. also models his distance from the peak of the mountain if he hikes down at a constant rate of 300 ft/hr
At d = 900 ft, the equation becomes
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
So, on his hike down the mountain, it takes him another 2 hours to be 900 ft from the peak of the mountain.
So, he is at 900 ft on his hike down after his start of hiking up the mountain at time t = (2 + 2) hours = 4 hours. Since it takes 2 hours to climb to the peak of he mountain and another 2 hours to climb down 900 ft from the peak of the mountain.