Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 101/2 inches by 101/2 inches. Is he correct? Use the drop-down menus to explain your answer.

Answers

Answer 1

Answer:

He is wrong, because for 2 inches of height, the peice of wood for base has smaller width than the width required for the base Maurice wants to make.

Step-by-step explanation:

Length of wood = 18 inches

Width of wood = 12 inches

If height of the table is needed = 2 inches

2 inches are reduced from each side of the piece of wood.

The new measurement become:

Length of wood = 18 - 2 - 2 inches

Length of wood = 14 inches

Width of wood = 12 - 2 - 2

Width of wood = 8 inches

Maurice wants to make a table with following dimensions:

Base = [tex]10\frac{1}{2}\cdot10\frac{1}{2}[/tex]

which means

Length required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]

Width required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]

As width is greater than the width of the piece of wood , he cannot make a table of such dimension from it.


Related Questions

Hey you guys don't like me ik cause im using my sis acc :) and answer in the " ask me questions " box thing thank you

Answers

Answer:

2 i think i can't see that well

Step-by-step explanation:

I think its 2 :) But not really sure

Giving brainliest, please answer as soon as possible.

Answers

Answer:

Step-by-step explanation:

There are five lines of symmetry in a regular pentagon:

Each going from side midpoint to opposite vertex.

here is a drawing of all of them filled in:

A wheelchair ramp is 8.0 m long. The angle of inclination is 10°. Calculate the rise of
the ramp to the nearest tenth of a meter.

Answers

Answer:

The height of the ramp is 1.39 m.

Step-by-step explanation:

We have,

A wheelchair ramp is 8.0 m long

The angle of inclination is 10°

It is required to find the rise of  the ramp.

Here, hypotenuse is 8 m and angle of inclination is 10°.

Using trigonometry to find it.

[tex]\sin\theta=\dfrac{x}{8}[/tex]

x is rise of the ramp

[tex]x=\sin(8)\times 10\\\\x=1.39\ m[/tex]

So, the height of the ramp is 1.39 m.

(30 points)PLEASE HELP! LOVE Y'ALL SO MUCH THX! If x=3b and y= 2/6b+4 , what is y in terms of x?
(A) 2 x+4 (B) 1 x+2 (C) 2x (D) x+2 (E) 2x+4

Answers

Answer:

y=(1/9)x+4

Step-by-step explanation:

x=3b

b=(1/3)x

y=2/6(1/3)x+4

y=(2/18)x+4

y=(1/9)x+4

Answer:

y = 1/(x+2)

Step-by-step explanation:

x=3b and y= 2/(6b+4)

Rewriting the second equation by factoring out 2

y=2/ 2(3b+2)

We know that 3b = x

y=2/ 2(x+2)

Canceling the 2 in the numerator and denominator

y = 1/(x+2)

k(-1) =
PLEASE HELP ASAP

Answers

Answer:

7?

Step-by-step explanation:

Answer:

k(-1) = 7

Step-by-step explanation:

the blue line represents the graph of k. The question is asking what the y-value at x=-1 is. Therefore, you just look at the blue line when x = -1, which is one block to the left of the middle. At that point, the y value is 7.

plz help me out it would be a prouder I don't know these tuitions pls help me I will give u 100 points and mark u brainliest 1,2,4

Answers

Answer:

1)  =  H

2)  =  0,4

4)  =  S

Step-by-step explanation:

1)  H is found by counting across the horizontal (axis) as x and then downwards the vertical axis for y  as y is a negative we find H for y at ( y = -5 )

But when we always read left to right we start with x first at 3 across. (x= 3) as this is the same as (3,-5)

2)  We find x, y at  (0,4) as 0 is middle of the two axis as they cross each other and 4 goes upwards. x= 0 y =4 = (0,4)

4) S is found as it is a refection of (8,-4) across the y axis.

(x = -8) is still x but it is valued as negative in y  as (x = -8)

Then (y = -4) so it stays the same height as y and represents vertical axis line which is called y axis.

And so y reflects the same height.

But in all the others y represents vertical measure generally.

Whilst x represents horizontal measure generally. they both meet at a point which represents two values generally, like cost and time, network output and population, or cupcakes sales and duration/time.

Answer: H

Step-by-step explanation:

H’s coordinate (3, -5) means that it’s to the right of the y-axis 3 units, and below the x-axis 5 units.

G would be (3, 5)

J would be (-3, -5)

K would be (5, 3)

Danville Street and Belmont Avenue intersect. If the diagonal distance across the intersection is 9.6 meters and Danville Street is 8.1 meters wide, how wide is Belmont Avenue? If necessary, round to the nearest tenth.

Answers

Answer:

Width of Belmont Avenue is 5.2 meters

Step-by-step explanation:

We use the Pythagoras theorem to solve the problem

Pythagoras Theorem states that:

Hypotenuse² = Base² + Perpendicular²

Danville Street, Belmont Avenue and their diagonal forms a right angled triangle

In this case, let the base be Danville Street with width of 8.1 meters

Let the hypotenuse be 9.6 meters

We need to find the perpendicular

Put the values in Pythagoras theorem.

9.6² = 8.1² + perpendicular²

perpendicular² = 9.6²-8.1²

perpendicular² = 92.16 - 65.61

perpendicular² = 26.55

take square root on both sides

perpendicular =5.153

Round of to nearest 10th

Perpendicular = 5.2 meters

Belmont Avenue = 5.2 meters

HELP!!! Please , solve this

Answers

Answer:

Equivalent

Step-by-step explanation:

15/25 and 3/5 are equivalent hope this helps

Answer:

I also think it's equivalent because it has a equal sign but I'm dumb so don't trust my answer.

Step-by-step explanation:

Please Help !!Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000.

Answers

Answer:

Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40

Marie is $10 000 richer

Step-by-step explanation:

Albert

(a) $1000 at 1.2 % compounded monthly

[tex]A = P\left(1 + \dfrac{r}{n}\right)^{nt}[/tex]

A = 1000(1 + 0.001)¹²⁰ = $1127.43

(b) $500 losing 2%

0.98 × 500 = $490

(c) $500 compounded continuously at 0.8%

[tex]\begin{array}{rcl}A & = & Pe^{rt}\\& = & 500e^{0.008 \times 10}\\& = &\mathbf{\$541.64}\\\end{array}\\[/tex]

(d) Balance

Total = 1127.43 + 490.00+ 541.64 = $2159.07

Marie

(a) 1500 at 1.4 % compounded quarterly

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

(b) $500 gaining 4 %

1.04 × 500 = $520.00

(c) Balance

Total = 1724.99 + 520.00 = $2244.99

Hans

$2000 compounded continuously at 0.9 %

[tex]\begin{array}{rcl}A& = &2000e^{0.009 \times 10}\\& = &\mathbf{\$2188.35}\\\end{array}\\[/tex]

Max

(a) $1000 decreasing exponentially at 0.5 % annually

A = 1000(1 - 0.005)¹⁰= $951.11

(b) $1000 at 1.8 % compounded biannually

A = 1000(1 + 0.009)²⁰ = $1196.29

(c) Balance

Total = 951.11 + 1196.29 = $2147.40

Marie is $ 10 000 richer at the end of the competition.

Please help!!!!! WILL MARK BRAINLIEST!!!!


Graph the system of linear inequalities on the coordinate plane y>/-1/2x+2 1/2


Y<1/5x+6



A) shade the solution to the system of inequalities


B) pick a point and show your solution is correct

Answers

Answer:

see below

Step-by-step explanation:

y[tex]\geq[/tex] ..... means full  line and shading above the line

Y< ......means  doted  line and shading below the line

A) solution is overlapping shaded part

B) (10,5)

plug in point in inequalities and check if it's true; if it's true you showed that solution is correct

1. 5[tex]\geq[/tex]-1/2*10 + 2 1/2

  5[tex]\geq[/tex] -5 + 2 1/2

  5[tex]\geq[/tex] -2 1/2 TRUE

2. 5[tex]<[/tex]1/5*10 + 6

   5< 2 + 6

5< 8  TRUE

The solution to the inequality equation is ( -5 , 5 )

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the first inequality relation be represented as A

Now , the value of A is

y ≥ ( -1/2 )x + 2 1/2

y ≥ ( -1/2 )x + 5/2   be equation (1)

Let the second inequality relation be represented as B

Now , the value of B is

y < ( 1/5 )x + 6

On simplifying the equation , we get

Graphing the inequalities we get the common point as ( -5 , 5 )

Substitute the value of x = -5 and y = 5 in the inequality equations , we get

y ≥ ( -1/2 )x + 5/2

Substitute x = -5 and y = 5

5 ≥ ( -1/2 ) ( -5 ) + 5/2

5 ≥ 5/2 + 5/2

5 ≥ 10/2

5 ≥ 5

The inequality is true

Now , y < ( 1/5 )x + 6

Substitute x = -5 and y = 5

5 < ( 1/5 ) ( -5 ) + 6

5 < -1 + 6

5 < 5

The inequality is true when the value of x > -5

Hence , the equations are solved

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

ramp is 9.4m long and joins two levels, one 3.1m higher than the other find angle that ramp makes with the lower level

Answers

Answer:

The angle ramp make with the lower level is  19.25∘

Step-by-step explanation:

Using the sine function:

sin  θ  =  H e i g h t   D i f ere n c e  / R a mp Length

sin  θ  =  3.1  / 9.4

Taking sine inverse on both sides:

θ  =  s i n − 1  3.1  / 9.4

θ ≈ 19.25 ∘

I hope it helped

have a great day :))

Evaluate when a=-6, b= 5, C= -2:
a3 - b + 402
f
Select one:
stion
a. 109
O b. 205
O c. 81
O d. -205

Answers

Answer:

c 81

Step-by-step explanation:

d. -205 because -6^3 = -216-5= -221
-2^2=4x4=16 so -221+16= -205

Suppose a scatter plot contains the points (12, 28), (15, 33), (21, 44), (29, 62), and (33, 68). Which of these points would be considered an outlier if it were also on the scatter plot? Select three that apply.

Answers

Answer:

Unsure, take a look at the visualisation:

desmos(dotcom)/calculator/fjze0od81o

Replace the (dotcom) with ".com"    (   links are not allowed :(   )

Explanation:

None of the points look as though they are an outlier from the line of linear regression, although (29,62) looks furthest from the line so could be a possible answer although I would probably say there is no outlier.

Click on the median in this set of data. 15,21,25,63,8

Answers

Answer:

the median is 21

Step-by-step explanation:

8 , 15 , 21 , 25 , 63

that is what you have to do you would have to put them in order from least to greatest so then you would see the middle number which is 21

What is the value of [1.1]? –2 –1 0 1

Answers

Answer:

The answer is -2.

Step-by-step explanation:

Answer:

-2 :D

Step-by-step explanation:

Just did the test:)

Find the area of the quadrilateral

Answers

Answer:

A=40'

Step-by-step explanation:

To me, it seems that the figure is a parallelogram.

So, let's use the formula to calculate the area of a parallelogram.

A=bh

In this case, the base (b) is 8' and the height (h) is 5'.

Replace the variables with our new values.

A=bh

A=8*5

Calculate the sum.

8*5=40

Add units.

40' or 40 inches.

Hence, 40 inches (40') is our answer.

Hope this helps

Which statement about the figures shown below is true?

PLS HEP ASP BEST GETS FOLLOW AND BRAINLIEST​

Answers

The answer is C. Figures K and N are parallelograms. Hope this helped !

What is the measure of theta

Answers

Answer:

B. 3 radians

Step-by-step explanation:

We are given the following components of the circle.

Radius of circle (r) = 4 cm

Length of arc (l) = 12 cm

Lenght of arc of a circle is given by the following formula:

[tex] l = \frac{\theta}{2\pi^c}\times 2\pi r[/tex]

Substituting the values of l and r in the above formula, we find:

[tex] 12 = \frac{\theta}{2\pi^c }\times 2\pi \times 4\\\\

\therefore 12 = \theta \times 4\\\\

\theta = \frac{12}{4}\\\\

\theta = 3 \: radians[/tex]

A fair coin is tossed four times. What is the probability that heads (H) will appear at least twice?

Answers

Answer:

50%

Step-by-step explanation just is

Answer:

the answer for this is 50%

12. Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.
A) c = 25 + 10p + 5h
B) c = 25 – 10p – 5h
C) c + 25 = 10p + 5h
D) c = 25 + 10 + 5

Answers

Answer:

Step-by-step explanation:

the answer is A

BECAUSE the fixed charged or the charged that is always there is 25 dollars plus and additional cost for 10 dollars per person plus additional cost depending on how many hours u stay past 10 am

the correct answer is a
25+10+5=c

Marc had $7.50. He bought toy car for $6.49 how much money does Marc have left

Answers

Answer:

7.50 - 6.49 = $1.01 left

Answer:

1.01

Step-by-step explanation:

7.50 - 6.49 = 1.01

There are 7 red cards and 13 blue cards

in a deck of cards. If Yuki randomly

selects a card from the deck, what is the

probability that it is a red card?

Answers

Answer:

7/20

Step-by-step explanation:

#red cards/total # of cards

7/(7+13)

7/20

Answer:

7/20

Step-by-step explanation:

Please hurry
What function is represented in the table?

Answers

Answer:

B. 3(2^x)

Step-by-step explanation:

3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.

Explain how combining like radicals is similar to combining like terms.

Answers

Answer:

Just like combining like terms with the same variables, you combine like

radicals with the same number under the radical signs.

Step-by-step explanation:

Example:

3x + 2x

= 5x   {combined like terms}

3√2 + 2√2

= 5√2   {combined like radicals}

Combining two or more terms are similar to combining two or more radicals.

What is a radical?

The 'n' th root of a number 'x' is written as [tex]\sqrt[n]{x}[/tex]. It is called a radical.

Combining two or more terms:

(a + 2a + 97a) = 100a

Combining two or more radicals:

(a[tex]\sqrt{3}[/tex] + 9a[tex]\sqrt{3}[/tex] + 90a[tex]\sqrt{3}[/tex]) = 100a[tex]\sqrt{3}[/tex]

Therefore, combining two or more terms are similar to combining two or more radicals.

Learn more about radicals here: https://brainly.com/question/12737007

#Tag #SPJ2


The diameter of a sphere is 2 ft. What is the sphere's volume? Round to the nearest tenth.
A) 4.2 ft3
B) 8.1 ft3
C) 16.8 ft3
D) 33.5 ft3

Answers

Answer:

4.19 ft ^3 or A.

Step-by-step explanation:

Answer:

A) 4.2 ft3

Step-by-step explanation:

option a is correct ✔✔✔

Please help with this

Answers

Answer:

the answer is A. 99 degrees because 81 + 18 = 99

Answer:

99°

Step-by-step explanation:


If the relationship below are given in form (input, output), Which pairing always describes a function?

Answers

Answer:

Step-by-step explanation:

i'm not sure what the answer options are since they're not provided, but it's whichever option has a steady rate of change. (ex: money, time spent earning it; location, time spent driving; length in inches, length in meters)

A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be represented by
S(r) - 0.12. where r is the radius of the pizza in inches.
What is the diameter of a pizza that costs $26.327 Round to the nearest hundredth.

Answers

Answer:

$26.300

Step-by-step explanation:

well if its 5 or more u round to the next whole number but if its 5 or under you just round whatever ur rounding into the same number but whole

I just need the bottom question plz I need it for today

Answers

Answer:

i dunno i just want points xd so i can put questions xd

Step-by-step explanation:

Answer:

The angles are 31 and 59 degrees.

Step-by-step explanation:

Let x be angle. Let 90-x be the complement of its angle. Then, x=90-x+28 since the measure of an angle is 28 degrees more than the complement.

Solving equation in Step 3 yields the following steps Add x to both sides of the equation Divide by 2 to both sides of the equation

A sequence is defined by the recursive formula f(n+) = f(n) -2. If f(1) =18 what is f(5)?

Answers

Answer:  10

=====================================================

Work Shown:

Plug in n = 1 to find the next term

f(n+1) = f(n) - 2

f(1+1) = f(1) - 2 ... replace every n with 1

f(2) = f(1) - 2

f(2) = 18-2 .... replace f(1) with 18

f(2) = 16

We'll use this to get the next term. Plug in n = 2

f(n+1) = f(n) - 2

f(2+1) = f(2) - 2 ... replace every n with 2

f(3) = f(2) - 2

f(3) = 16 - 2 ... replace f(2) with 16

f(3) = 14

This process keeps going until we reach f(5)

Plug in n = 3

f(n+1) = f(n) - 2

f(3+1) = f(3) - 2

f(4) = f(3) - 2

f(4) = 14-2

f(4) = 12

and finally plug in n = 4

f(n+1) = f(n) - 2

f(4+1) = f(4) - 2

f(5) = f(4) - 2

f(5) = 12 - 2

f(5) = 10

The summary is basically we subtract 2 from each term to get the next term. The sequence is 18, 16, 14, 12, 10 which is arithmetic.

Other Questions
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y. On a graph titled Tammy's Pay, number of hours is on the x-axis and pay in dollars is on the y-axis. A line goes through points (2, 18) and (8, 42). What is the slope of the line? One-fourth StartFraction 8 Over 17 EndFraction 4 6 Jim and Jane purchased their house a year ago and have been transferred out of town. They paid $275,000 for the property and ended up after expenses with only $225,000. Their percentage of loss on the sale was: If AB = CA and m1 = 45, what is m3? A. 47 B. 45 C. 43 D. 90 Find the equation for the plane through the points Upper P0 (-2 ,2 ,-5),Q0 (1,2,-1), and Upper R0 (-1,-5,4 ).The equation of plane is:________ PLEASE HELPPerform the indicated operation. Simplify answerSubtract 3x-7 from 9x+5. In at least one hundred words, define what an inference is and state what inference is being made here about "squatter sovereignty." What is NOT one of the three reforms that Samuel Gompers focused on ?Safer working environment.Shorter hours.Higher wages.Longer hours. True or False? About 20% of female high school students have tried smoking at some point. Example of an informal letter what is the function of guard cells? Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pythagorean theorem The pressure of sulfur dioxide (SO2) is 2.27 x 104 Pa. There are 418 moles of this gas in a volume of 57.9 m3. Find the translational rms speed of the sulfur dioxide molecules. Reliable Moving Company reported the following amounts on its balance sheet as of December 31, 2019 and December 31, 2018: 2019 2018 Cash and Receivables $95,000 $155,000 Merchandise Inventory 225,000 250,000 Property, Plant and Equipment, net 750,000 770,000 Total Assets $1,070,000 $1,175,000 Total Liabilities $465,000 $395,000 For the vertical analysis, what is the percentage of total liabilities for December 31, 2018? Balance sheet and income statement data indicate the following: Bonds payable, 11% (due in 15 years) $1,023,237 Preferred 8% stock, $100 par (no change during the year) $200,000 Common stock, $50 par (no change during the year) $1,000,000 Income before income tax for year $383,882 Income tax for year $115,165 Common dividends paid $60,000 Preferred dividends paid $16,000 Based on the data presented above, what is the times interest earned ratio (round to two decimal places) Phone company A conducted a study that showed 97% customer satisfaction, with a standard deviation of 1%. The sample included 25 people who appear in one of their commercials during the past three years phone company B conducted a study to show 94% customer satisfaction with a standard deviation of 4% a random sample consisting of 100 customers which of the company claims is more believable and why? A.Phone Company A because the time span was longerB. Phone company B bc the sample was not biasedC. Company A bc the standard deviation is smallerD.Company B because the standard deviation is larger AWARDING THE MOST POINTS FOR BEST ANSWER! HELP ME ANSWER THIS FAST!!!!!!!!!!!!The Johnson family buys furniture and appliances for a new house for $10,000.00 with a credit card that has a 15% APR.The Johnsons make a $325.00 monthly payment. How many months will it take to pay off the balance? Enter your answer as a whole number, such as: 20. The functions f(x) and g(x) are shown on the graph.Ax) = 1xWhat is g(x)?10f(x) = x1g(x) = ?1010-5A. g(x) = [x - 51O B. g(x):= [X1 - 5O.C. g(x) = 1x1 + 5D. g(x) = (x + 51 Describe the importance of SI units? A car rental company charges customers based on the equation C(m) = .25m + 30, where C(m) representsthe total cost, and m represents the number of miles driven by the customer. Explain what the numbers .25and 30 mean in the context of the problem. 5% of a number is 23 1% of the same number is 4.6 work out 16% of that same number