1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
grin007 [14]
3 years ago
12

A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i

s 8 cm across. Each time he extends the saw out with his arm, there is 5 cm of blade between the handle and the wood. When he pulls the saw toward his self with his arm, the saw handle is 25 centimetres from the wood. Each time he extends his arm out and pulls it back in, 1 second has passed. He starts with his arm extended out. Write an equation that models how far the tip of the saw is from the wood in terms of time.
Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

You might be interested in
2. Multiple Choice. Gary says, “I chose a number. I multiplied it by 5 and then
kkurt [141]

Answer:

The answer would be B

4 0
3 years ago
Read 2 more answers
Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅?
Tom [10]

Answer: Option C is correct


Step-by-step explanation:

We know tha tCos(A-B) = cosA cosB + sinAsinB

Plugging A = 180 and B = Ф

cos(180-Ф)= cos180cosФ+sin180sinФ

                  = (-1) cosФ+ (0) sinФ   [ since cos180=-1 and sin180 =0]

                 = -cosФ + 0

                 = -cosФ

Therefore option C is the correct answer.        

6 0
3 years ago
Read 2 more answers
PLEASEE HELPP !! WILL HELP W SS OR HISTORY IF ANSWER
12345 [234]

Answer:

5x-3p

Step-by-step explanation:

(1/3)(3x-6p) + 4x - p

Distribute the 1/3 to the variables in parenthesis.

x - 2p +4x - p

Combine the like variables.

5x - 3p

Hope this helps!

4 0
2 years ago
Read 2 more answers
Solve the following: 3.12 × 1,000 = _____.
torisob [31]

Answer:

60000000.00

Step-by-step explanation:

hgfgjffhvffjfujcdhbcfvjnbcccdsd

8 0
3 years ago
Consider right triangle △ABC below.
Zanzabum

Answer:

sin(<A)

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Due to lace of funding,the number of students enrolled at the city college went from 7000 last year to 4000 this year . Fine the
    13·1 answer
  • Math Help Please!!!!!!!
    8·1 answer
  • What does X equal to
    5·2 answers
  • Help Please " Usually Ellis rides his bicycle 5 4/5 miles a day. Today he rode half his usual distance. How far did he ride. A:2
    10·1 answer
  • a box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone is selected at random
    6·2 answers
  • Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right
    14·2 answers
  • The contents of a cell in a spreadsheet are shown below. 8.2111148E-5 What number do the contents of the cell represent? A. 8.21
    6·1 answer
  • Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% off. He has to pay 5% sa
    8·2 answers
  • given two squares, one with side length of 5 and the other with a side length of 7, what is the ratio of their areas?
    13·1 answer
  • Calcule ⁴√-16 por favor respondam​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!