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Maru [420]
3 years ago
11

Zach is deciding how he is going to spend his day. He can go to the library or to the mall, he can walk or bike, and he can go a

lone or with a friend. What are all the possible ways Zach can spend his day? Select from the drop-down menus to correctly complete the sample set list. library, walk, alone library, , with a friend library, bike, alone library, bike, with a friend mall, walk, alone mall, walk, with a friend mall, bike, alone mall, , with a friend
Mathematics
2 answers:
antoniya [11.8K]3 years ago
7 0
(1) First answer on the box is "Walk"
(2) Second answer on the box is "bike"

Hope this helps you!

Hoochie [10]3 years ago
4 0
(1.Walk) (2.Bike) I hope this helps!
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Three forces act on a hook. Determine the magnitude of the resultant of the force.
Novay_Z [31]

Use Hooke's law... (just kidding)

Break down each force vector into horizontal and vertical components.

\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y

\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y

\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y

The resultant force is the sum of these vectors,

\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y

and has magnitude

|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N

The closest answer is D.

5 0
3 years ago
The sum of the squares of 3 consecutive positive integers is 116. What are the numbers?
irina [24]
1st number = n
2nd number = n+1
3rd number = n+2

sum of the squares of 3 consecutive numbers is 116

n² + (n+1)² + (n+2)² = 116
n² + (n+1)(n+1) + (n+2)(n+2) = 116
n² + [n(n+1)+1(n+1)] + [n(n+2)+2(n+2)] = 116
n² + n² + n + n + 1 + n² + 2n + 2n + 4 = 116
n² + n² + n² + n + n + 2n + 2n + 1 + 4 = 116
3n² + 6n + 5 = 116  Last option.

5 0
3 years ago
A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5. Which num
Valentin [98]

Answer:

75

Step-by-step explanation:

first, there are three 5's on the spinner, with a total of 12 sections. 3/12 = 0.25, so you multiply 0.25 times 300 (the total spins) and get 75

3 0
3 years ago
Sequences:
joja [24]

Answer:

<u>The sequence is</u>

  • 1, 1 + 2, 1 + 2 + 3, 1  + 2 + 3 + 4, ...

Each term is the sum of the consecutive numbers from 1 to that number.

<u>The nth term is the sum of the first n numbers:</u>

  • aₙ = 1 + 2 + 3 + ... + n
  • aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
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1) The number of circles in the nth pile is n(n + 1)/2

2) When n tends to infinity the number of circles tends to infinity

4 0
3 years ago
PLEASE HELP!!!!!!!! IMAGE ATTACHED!!!!
erma4kov [3.2K]

Answer:

Step-by-step explanation:

4) (-2,3)   ;  (-1,-2)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5

5) line is parallel to x-axis. So, slope= 0

6) (1,1) ;  (-2, -1)

Slope=\frac{-1-1}{-2-1}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}

6 0
3 years ago
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