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
Luden [163]
3 years ago
14

How long will it take a carpenter to cut a 4 in. by 4 in. by 8 ft. piece of treated lumber into fou pieces if each cut takes 15

seconds?
Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

Answer:

It will take 45 seconds a carpenter to cut a 4 in. by 4 in. by 8 ft. piece of treated lumber into four pieces .

Step-by-step explanation:

Given :Each cut takes 15 seconds.

To Find :How long will it take a carpenter to cut a 4 in. by 4 in. by 8 ft. piece of treated lumber into four pieces ?

Solution:

To divide 1 piece into two pieces we need to make 1 cut

To Divide 1 piece into 3 pieces we need to make 2 cut

So, To divide the 1 piece in n pieces we need to make n-1 cuts

Now we are given that Carpenter is dividing the piece into 4 pieces

So, Number of cuts need to be drawn = n-1 = 4-1 = 3

1 cut takes time = 15 seconds

So, 3 cut takes time = 15 \times 3 = 45

Hence it will take 45 seconds a carpenter to cut a 4 in. by 4 in. by 8 ft. piece of treated lumber into four pieces .

You might be interested in
PLEASE HELP!!!! 20 POINTS!!!!
galben [10]
These are two questions and two answers.

Question 1) Which of the following polar equations is equivalent to the parametric equations below? 

<span> x=t²
y=2t</span>

Answer: option <span>A.) r = 4cot(theta)csc(theta)
</span>

Explanation:

1) Polar coordinates ⇒ x = r cosθ and y = r sinθ

2) replace x and y in the parametric equations:

r cosθ = t²
r sinθ = 2t

3) work r sinθ = 2t

r sinθ/2 = t 
(r sinθ / 2)² = t²

4) equal both expressions for t²

r cos θ = (r sin θ / 2 )²

5) simplify

r cos θ = r² (sin θ)² / 4

4 = r (sinθ)² / cos θ

r = 4 cosθ / (sinθ)²

r = 4 cot θ csc θ ↔ which is the option A.


Question 2) Which polar equation is equivalent to the parametric equations below?

<span> x=sin(theta)cos(theta)+cos(theta)
y=sin^2(theta)+sin(theta)</span>

Answer: option B) r = sinθ + 1


Explanation:

1) Polar coordinates ⇒ x = r cosθ, and y = r sinθ

2) replace x and y in the parametric equations:

a) r cosθ = sin(θ)cos(θ)+cos(θ)
<span> b) r sinθ =sin²(θ)+sin(θ)</span>

3) work both equations

a) r cosθ = sin(θ)cos(θ)+cos(θ) ⇒ r cosθ = cosθ [ sin θ + 1]  ⇒ r = sinθ + 1


<span> b) r sinθ =sin²(θ)+sin(θ) ⇒ r sinθ = sinθ [sinθ + 1] ⇒ r = sinθ + 1
</span><span>
</span><span>
</span>Therefore, the answer is r = sinθ + 1 which is the option B.
6 0
3 years ago
Read 2 more answers
Calculate the area of triangle .
AnnZ [28]

Answer:

20 units

Step-by-step explanation:

The formula for the area:

A = bh × 1/2

B = 8 units

H = 5 units

8 × 5 = 40

40 × 1/2 = 20

8 0
3 years ago
Answer? .............................
kumpel [21]

ANSWER TO QUESTION ONE IS   5  

5x2+5=15  

5-4=1

15x1=15

QUESTION 2

X = 20

IDK 3 :(

7 0
3 years ago
2x2 + 4x-1<br> - 6x +3x-9
Lady_Fox [76]

Answer:

2x2 + x - 10

Step-by-step explanation:

6 0
3 years ago
NEED HELP ASAP THANKS
Oxana [17]
1/4w+4 - 1/2w+3
-1/4+7
4 0
3 years ago
Other questions:
  • The table shows values for functions f(x) and g(x) .
    14·1 answer
  • How do you find the whole from a percent?
    5·2 answers
  • Plz help me on this question
    14·1 answer
  • PLEASE HELP
    6·2 answers
  • When rounding to.the nearest hundred are you to add or subtract?
    13·2 answers
  • Freddy is buying wings and nachos for a party. A box of 10 wings cost $7.00. Nachos cost $4.00 per tray. He must spend less that
    10·1 answer
  • I NEED HELP PLZZZZZZZZ!!!!
    11·2 answers
  • URGENTT!!!!!!!
    6·1 answer
  • PLEASE HELP ME!!!! I really need to get a good grade on this assignment I WILL give brainly points
    6·1 answer
  • At a candy factory, butterscotch candies were packaged into bags of different sizes. Butterscotch candies per bag Stem | Leaf 5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!