A carpenter is cutting a 2 by 4 framing for a roof. The legenth needs to be 5 feet. He allows 0.1 foot possible variation for the length of the cut. What values of l represent the acceptable length for the board in feet?​
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Answers

Answer 1

Answer:

4.9 ≤ l ≤ 5.1

Step-by-step explanation:

Answer 2

'I' represents the length of the acceptable length for the board in feet.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
A carpenter is cutting a 2 by 4 framing for a roof. The length needs to be 5 feet.
He allows a 0.1-foot possible variation for the length of the cut. where variation becomes,
5 - 0.1 ≤ I ≤ 5 + 0.1
4.9 ≤ I ≤ 5.1

Thus, 'I' represents the length of the acceptable length for the board in feet.

Learn more about inequality here:

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Related Questions

5xy8 • (4y4)2 = 5xy8 • 42• V4)2

Answers

Answer:

Yes they are equal. Hkama d d jans ans

EB and DA are diameters of circle Y. What is the measure of arc EDC?

Answers

Answer:

Option (D). 110°

Step-by-step explanation:

Since EB and AD are diameter,

[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°

[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)

And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]

180° = 40° + [tex]m(\widehat{BCD})[/tex]

[tex]m(\widehat{BCD})[/tex] = 140°

Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]

[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]

[tex]m(\widehat{BC})[/tex] = 70°

From equation (1),

[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{EDC}})[/tex] = 180°- 70°

Therefore, measure of arc(EDC) = 110°

Option (D) will be the answer.

Please answer correctly !!!!!!!! Will mark brainliest answer !!!!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

Since you looking for the width and you are given the length and the area, then you will divide the area by the length.

(10x² + 5x) ÷ 5x

You can also turn this into a fraction so you can know what you are dividing.

[tex]\frac{10x^2+5x}{5x}[/tex]

So, your width is 2x + 1

Answer:

2x + 1 is the width.

Step-by-step explanation:

Length times width equals the area, which means that the area divided by the length equals the width. In this case, 10x^2 + 5x divided by 5x equals the width.

10x^2 / 5x equals 2x.

5x / 5x equals 1.

The width equals 2x + 1.

1. Using the figure below, what is the measure of angle ABE?

Answers

Answer:

see below

Step-by-step explanation:

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ABE and CBD are opposite vertical angles so they have the same measure of angles.

a. The graph of g(x) is the graph of f(x) stretched vertically. c. The graph of g(x) is the graph of f(x) shrunk vertically. b. The graph of g(x) is the graph of f(x) shifted down 3. d. The graph of g(x) is the graph of f(x) shifted up 3. Please select the best answer from the choices provided

Answers

Answer:

There is no picture?

Step-by-step explanation:

Answer:

a. The graph of g(x) is the graph of f(x) stretched vertically.

Step-by-step explanation:

I just took test and got it correct 100%

One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.

Answers

Answer:

5198.4 grams of sand

Step-by-step explanation:

The bottom cube:

12*12*13= 144*13= 1872

The top pyramid:

144*6= 864

1872+864= 2736 cubic cm

THEN

2736*1.9= 5198.4 g of sand!

Brainliest plsss

Answer:

5.586 kg

Step-by-step explanation:

2940 ×1.9=  5586 kg or 5586 g

2 prime factorization of 44

Answers

Answer:

2*2*11

Step-by-step explanation:

44 = 4*11

But 4 isn't prime

  = 2*2*11

All of these are  prime

AC is included between
1
A
c
O A. ZA and ZC
O B. ZA and ZB
O C. AB and BC
O D. BC and AC

Answers

Since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

What is an Included Side?

An included side is a side that is in between two angles in a triangle, where the rays of the angles overlap.

Thus, in triangle ABC, side AC lies in between angle A and angle C.

Therefore, since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

Learn more about included side on:

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Answer: A

Step-by-step explanation:

To determine the annual yield (rate of return) on an investment, divide the income from the investment for the year by the original amount invested. Look at the example. Then, calculate the annual yield for the other investment

Answers

Savings account: $4 / $200 = 0.02 x 100 = 2%

Bond: $85 / $1000 = 0.085 x 100 = 8.5%

Real Estate: $6,400 / $40,000 = 0.16 x 100 = 16%

Got a fairly simple looking system of equations, 2k+4y=20, and 3x+6y=30 Don't understand how to prove what values of k provide - 1 solution - no solutions - and many solutions

Answers

Answer:

2kx+4y=20 ⇒ kx+2y=10

3x+6y=30 ⇒ x+2y= 10

k is the coefficient of x, so it is the slope of the line

when k=1, both equations will be same, then there are many solutionswhen k=0 there is one solutionwhen k is anything different, then the lines will be parallel, so no solutions

Anyone know this :( please help

Answers

Answer:

B

Step-by-step explanation:

M is a factor of N and [tex](1+r)^t[/tex], which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!

Which of the following is this?

-A balanced budget

-A budget deficit

-A budget surplus

Answers

A budget deficit
The monthly Budget total is $240
The monthly expenses total is $250

Define polynomial with some examples.

Answers

Answer:

A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.

Step-by-step explanation:

EXAMPLES :

x2 + 2x +5 Since all of the variables have integer exponents that are positive this is a polynomial.5x +1 Since all of the variables have integer exponents that are positive this is a polynomial.(x7 + 2x4 - 5) * 3x Since all of the variables have integer exponents that are positive this is a polynomial.5x-2 +1 Not a polynomial because a term has a negative exponent3x½ +2 Not a polynomial because a term has a fraction exponent(5x +1) ÷ (3x) Not a polynomial because of the division(6x2 +3x) ÷ (3x) Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation) [Polynomial Equation- is simply a polynomial that has been set equal to]
Polynomial

An algebraic expression is of the form of a0+a1x+a2x2+.........+anx^n,where n is positive integer and the coefficients a0,a1,A2,.......an are constants with an is not equal to 0 is called a polynomial of degree.

A polynomial in X is denoted by p(x),q(x),g(x) etc.

Examples:

p(X)=x^2-3x+2 is a polynomial in X.

Similarly,the polynomial in two variables X and y are generally denoted by p(x,y) and polynomial in three variables is denoted by p(x,y,z).

Hope it helps

Good luck on your assignment...

Need some help with a few consecutive integer word problems, tysm if you do :)

The sum of three consecutive odd integers is -57. Find the integers.

A. -19, -17, -15

B. -19, -21, -23

C. -21, -19, -17

D. -21, -23, -25


Three times the greater of two consecutive odd integers is 5 less than 4 times the smaller. Find the integers.

A. 8, 9

B. 7, 9

C. 11, 13

D. 3, 5

Five times the smaller of two consecutive odd integers is 11 more than 4 times the greater. Find the integers.

A. 13, 15

B. -7, -5

C. -7, -9

D. 19, 21

Answers

Answer:

Answers are: A,D, and  A

Step-by-step explanation:

I hope these are right

HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!
−→− bisects ∠DGF, m∠DGE=53∘. Find m∠DGF.

1. what is the measure of angle DBF? (image included below)

Answers

Answer:

Measure of angle DBF = 106°.

Step-by-step explanation:

Given in the question,

m∠DGE = 53°

and line segment GE is the angle bisector of ∠DGF.

Since segment GE is the angle bisector of ∠DGF that means it divides the angle DGF into two equal parts.

Therefore, m∠DGE ≅ m∠FGE

m∠DBF = m∠DGE + m∠FGE

m∠DBF = 2(m∠DGE)

             = 2(53)°

             = 106°

Therefore, measure of angle DBF = 106°.

Ay is any one down to work together on this? Not just this question but the whole unit of geometry

Pleeaaase hellllppppp…………………

Answers

Answer:

C, 1/10 c^3d^4

Remove the cubic root operation by raising all the terms by 1/3

1/100^1/3 c^9^1/3 a^12^1/3

Simplify:

1/10c^3a^4

Which statements are true? Check all that apply. Magnitude is never a negative value. The magnitude of –1.9 is |–1.9| which is 1.9. The absolute value of a number is greater than its magnitude. The numbers –4 and 4 have the same magnitude. The magnitude of Negative two-thirds is less than the magnitude of Two-thirds.

Answers

Answer:

A, B, D

Step-by-step explanation:

The options are:

A. Magnitude is never a negative value

This is true because the magnitude is only a representation of the numerical value of a number. It is the distance of the number from the 0 point on the number line. It is the absolute value of a number.

Hence, the polarity of the number is not necessary.

B. The magnitude of –1.9 is |–1.9| which is 1.9

This is true because they have the same numerical value.

C. The absolute value of a number is greater than its magnitude

This is false because absolute value and magnitude of a number are the same.

D. The numbers –4 and 4 have the same magnitude

This is true. They have the same absolute value, hence, they have the same magnitude.

E. The magnitude of -2/3 is less than the magnitude of 2/3

This is false as already explained in C above.

Answer:

a b d

Step-by-step explanation:

Which of the following are exterior angles? Check all that apply

Answers

Answer:

Options A, E

Step-by-step explanation:

If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;

[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]

Refer to Solution below;

A. Check!

E. Check!

A and E are the answer for the exterior angles.

what is the value of x when the richter scale rating is 5.5

Answers

Answer:

5.5

Step-by-step explanation:

divide both sides

Please help!

Does this represent a linear function, non-linear function, or no function?

Answers

Answer: It would represent a linear function.

Step-by-step explanation:

Every time, the amount of blocks increase by 3, which would be the slope of it were on a graph, and it is constant. It’s not a quadratic nor an exponential function because it is not divided or multiplied at a certain factor, but it just adds by 3 each time.

somebody help me please i will mark you the brainliest

Answers

I’m 100% sure it’s the 3rd one :)

Answer:

I guess it's the 3rd one as well

Solve 2 - x= -7.
O A. x=-9
O B. x= 5
O C. x= -5
O D. x= 9

Answers

Answer:

x = 9

Step-by-step explanation:

2 - x= -7

Subtract 2 from each side

2- 2 - x= -7-2

-x = -9

Multiply by -1 on each side

x = 9

Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Find the term to term rules for the following sequence 2 6 18 54 162

Answers

Answer:

486

Step-by-step explanation:

the sum of (x-1) + (2x+ 3) is 3x-2 correct?

Answers

Answer: no , the correct answer is 3x+2

Step-by-step explanation:

Remove parentheses.

x−1+2x+3

Collect like terms.

(x+2x)+(−1+3)

Simplify.

3x+2

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:5/3

Step-by-step explanation:

choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.

What is the median of the data? *

Answers

Answer:

15

Step-by-step explanation:

First you have to order the numbers from least to greatest

13, 13, 15, 20, 24

Then you find the value in the middle.

You have five numbers so your middle value is the number between the the two numbers on the left and the two numbers on the right which is 15.

Solve the equation 2x^2 – 3x – 5 =
10x to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

simplify the equation

Answers

Answer:

3a

Step-by-step explanation:

9/3 = 3

[tex]a^{3}/a^{2} = a^{3 -2} = a[/tex]

b / b = 1

3 x a x 1 = 3a

Answer:

3a

Step-by-step explanation:

First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.

With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.

Then, cancel the b's out by getting rid of them.

You will be left with 3a.

Find the area of the figure. If needed, round to the nearest tenth.

Isosceles trapezoid
An isosceles trapezoid with bottom base length of 14 feet, top base of 7 feet, and height of 6 feet.
a.
63 sq. ft
b.
27 sq. ft
c.
49 sq. ft
d.
126 sq. ft


Answers

Answer:

a. 63 ft²

Step-by-step explanation:

A= 1/2(b1+b2)h

b1= 14 ftb2= 7 fth= 6 ftA= 1/2(14+7)*6= 63 ft²

Answer:

[tex]63 {ft}^{2} [/tex]

Answer A is correct

Step-by-step explanation:

[tex]area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (7 + 14) \times 6 \\ = \frac{1}{2} \times 21 \times 6 \\ = \frac{126}{2} \\ = 63 {ft}^{2} [/tex]

hope this helps

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