A woodworker is creating arms for a bench. If the helght of the bench's back is 3 feet tall and the width of the bench's seat Is 1 foot long, what is the length of the arm?

A Woodworker Is Creating Arms For A Bench. If The Helght Of The Bench's Back Is 3 Feet Tall And The Width

Answers

Answer 1

Answer:

√10 feet ≈ 3.2ft

Step-by-step explanation:

If the helght of the bench's back is 3 feet tall and the width of the bench's seat Is 1 foot long, the length of the arm will be gotten using the pythagoras theorem;

Let l be the required length, Hence;

l² = 3² + 1²

l² = 9 + 1

l² = 10

Square root both sides

√l² = √10

l = √10 feet

Hence the length of the arm is √10 feet


Related Questions


A triangle has sides with lengths of 11 inches, 15 inches, and 18 inches. Is it a right triangle?

Answers

Answer:

No

Step-by-step explanation:

Answer: its not right triangle

Step-by-step explanation: no becauce  [tex]11^2+15^2\neq 18^2=> 346\neq 324[/tex]

if the height of two similar prisms have a ratio of 7:21 then the ratio of the area is.....

Answers

Answer:

1:3

Step-by-step explanation:

7:21

1:3

so , 7:21 is 1:3.

what is the difference between the two polynomials (9x^2+8x)-(2x^2+3x)

Answers

Answer:

[tex]{ \tt{( {9x}^{2} + 8x) - ( {2x}^{2} + 3x)}} \\ = (9 - 2) {x}^{2} + (8 - 3)x \\ = { \bf{ {7x}^{2} + 5x}} \\ \\ { \underline{ \blue{ \tt{becker⚜jnr}}}}[/tex]

Answer:

7x^2 + 5x

Step-by-step explanation:

(9x^2 + 8x) - (2x^2 + 3x)

multiply the brackets

9x^2 + 8x - 2x^2 - 3x

place the like terms together and then add or subtract them

9x^2 - 2x^2 + 8x - 3x

7x^2 + 5x

Which polynomial is in standard form? o 4 + 3xy - 5xy3 + y4 o –x4 + x3y2 + 7xy3 - 2y4x2 0893 + 10ab2 - 12a2b3​

Answers

Answer:

46

Step-by-step explanation:

To me the question is not properly written. If you check and re write, I will try to answer it

Not sure how I can solve this problem or where to start. Please Help!

Answers

The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.

The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.

The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter d has circumference πd ; a half-circle with the same diameter would then contirubte πd/2, or in this case, 3π m.

So, the total perimeter of the shape is

(4 m + 2√13 m) + 18 m + 3π m ≈ 38.6 m

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(0,0)
- 10
10
(3,-9)
-10

Answers

y=-3x is the equation of the line passing through the points (0, 0) and (3, -9).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find equation of line passing through (0, 0) and (3, -9)

Slope = -9-0/3

=-3

Now let us find the y intercept

0=-3(0)+b

b=0

So equation is y=-3x

Hence, y=-3x is the equation of the line passing through the points (0, 0) and (3, -9).

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can someone give me some formulas for algebra 1 i need it for my final

Answers

Ax+By+C=0. Standard form of a linear equation.

Use C= (B/2)^2. To complete the square.

D=RxT. Distance = (Rate)(Time

y = mx + b. Slope-intercept form ( easy to graph)

Time
1 point
2
You scored the following grades on your first three math tests: 71.78, 81. You only have one test remaining. What is the highest possible test average
you can get?

Answers

Answer:

82.5.

Step-by-step explanation:

That would be the average if you scored 100 on your last test.

This is (71+78+81+100)/ 4

= 82.5

Find sin 0, where is the angle shown. Give an exact value, not a decimal approximation. (GIVING POINTS AND BRAINLEST TO BEST ANSWER)​

Answers

Answer:

0 = 67,38013505

Step-by-step explanation:

Tan (0) = 12/5 (Use calculator this part)

Then 0 = 67,38013505

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM. If 188 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Answers

Answer:

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM.

This means that [tex]\mu = 84, \sigma = 15[/tex]

Sample of 188

This means that [tex]n = 188, s = \frac{15}{\sqrt{188}}[/tex]

What is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM?

Greater than 84 + 1.46 = 85.46 or less than 84 - 1.46 = 82.54. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability is is less than 82.54.

P-value of Z when X = 82.54. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{82.54 - 84}{\frac{15}{\sqrt{188}}}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a p-value of 0.0918

2*0.0918 = 0.1836

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Question
Calculate the arc length for a circle whose radius is 6 with a central angle θ=135°. S=

Answers

9514 1404 393

Answer:

  S = 4.5π ≈ 14.14 units

Step-by-step explanation:

The arc length is given by ...

  s = rθ . . . . . r = radius; θ = central angle in radians

The angle 135° is ...

 135° = 135°(π/180°) = 3π/4 radians

The arc of interest has length ...

  s = 6×3π/4 = 9/2π ≈ 14.14 . . . units

Ok so, I was tasked to find the equation of a line that went through (-6,1) and (4,8). I got (7/10) as the result. How do I take my answer and turn it into the slope-intercept form?

Answers

Answer: rewrite it in the form y=mx+b

Step-by-step explanation:

Find the area of circle H

Answers

Answer:  AREA OF H IS S= R4

Step-by-step explanation:

pls help !!!!! thank u univese

Answers

Answer:

just focus. concentrate and use your notes. i promise you will find the answer

Step-by-step explanation:

At six flags Great Adventure, the fastest rollercoaster is KingDaKa, which is 50 seconds long. In Canada's Wonderland, the rollercoaster Leviathan is 3 minutes and 20 seconds long. The duration of KingDaKa is what percent of the duration of the Leviathan?

Answers

Answer:

1 min and 20 seconds

Step-by-step explanation:

What is the domain of the square root function graphed below? 6 4 wo -6. -2 4 4 6. X 12 L6 O x2-4 O x>-4 O X20 Ox>0​

Answers

The grea of a triangle is 14 square units and the height is 7 units.
What is the length of the base?

The domain of the square root function graphed is,

⇒ x ≥ 0

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The square root function are graphed below in figure.

Now, We know that;

The set of all inputs of the function is called Domain of set.

Hence, By definition of domain of function, we get;

The domain of the square root function graphed is,

⇒ x ≥ 0

Thus, The domain of the square root function graphed is,

⇒ x ≥ 0

Learn more about the function visit:

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Complete question is shown in figure.


Write the equation in slope intercept form given
the point and the slope
m=-2 & (5, -5)

Answers

Answer:

Step-by-step explanation:

y + 5 = -2(x - 5)

y + 5 = -2x + 10

y = -2x + 5

Find the value of t in rhombus WXYZ.
х
40
W
Y
t+930
N

Answers

9514 1404 303

Answer:

  t = 31°

Step-by-step explanation:

Opposite angles of a rhombus have the same measure:

  4t = t +93°

  3t = 93° . . . . . subtract t

  t = 31° . . . . . . .divide by 3

Answer:

t= 31°

Step-by-step explanation:

hope it helps much too

Four decreased by the product of a number and 7 is equal to 11

Answers

Answer:

See image below:)

Step-by-step explanation:

Answer:

[tex]y=2\frac{1}{7}[/tex]

Step-by-step explanation:

(y · 7) - 4 = 11

7y - 4 = 11

7y - 4 + 4 = 11 + 4

7y = 15

7y ÷ 7 = 15 ÷ 7

[tex]y=2\frac{1}{7}[/tex]

Sam scored an 82% on her test. She answered 27 questions correctly. How many questions were on the test? Round to the nearest whole number

Answers

Answer:

33

Step-by-step explanation:

82%-27

1%-0.3292

100%-33(nearest whole number)

Given that 2x – 9y = 11
Find y when x = 7
=
Give your answer as a fraction in its simplest form.


PLEASE HELP IM DESPERATE

Answers

Answer:

y = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

2x - 9y = 11

x = 7

Step 2: Evaluate

Substitute in x:                                                                                                  2(7) - 9y = 11Multiply:                                                                                                             14 - 9y = 11[Subtraction Property of Equality] Subtract 14 on both sides:                       -9y = -3[Division Property of Equality] Divide -9 on both sides:                                 y = 1/3

200 reduced by twice my age is 20 years of age

Answers

Answer:

90 years

Step-by-step explanation:

Equation =

200 - 2x = 20

2x = 200 - 20

2x = 180

x = 180 / 2

x = 90

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!

Answers

Answer:

4

Step-by-step explanation:

2×2=4

6÷2=3

1×2=2

8÷2=4

3×2=6

?÷2=2

2×2=4

Answer:

4

Step-by-step explanation:

2×2=4

6÷2=3

1×2=2

8÷2=4

3×2=6

?÷2=2

answer:

?=2×2

=4

Solve x – 5 = 16 for x.

Answers

Answer:

x=21

Step-by-step explanation:

I hope this is correct if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

21

Step-by-step explanation:

do the inverse opperation of -5 to isolate the variable on the other side and than your answer equals 21.

Which ratio is less than 15/24? Help!!! (´༎ຶོρ༎ຶོ`)

Answers

Answer:

1/2

Step-by-step explanation:

You can try converting 1/2 to another fraction with the same denominator as 15/24. This fraction is 12/24. As you can see, 12/24 is less than 15/24.

Answer:

option A

Step-by-step explanation:

To find ratio less than the given ratio we will convert the denominator of each fraction to 24 and then compare

Given ratio is : [tex]\frac{15}{24}[/tex]

Given options

          [tex]\frac{1}{2} = \frac{1 \times 12 }{2 \times12} = \frac{12}{24}[/tex]

            [tex]\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}[/tex]

                            [tex]\frac{19}{24}[/tex]

             [tex]\frac{6}{8} = \frac{6 \times 3}{8 \times 3} =\frac{18}{24}[/tex]

Now arrange in the ascending order , just check the numerator values.

[tex]\frac{12}{24} < \frac{15}{24} < \frac{18}{24} < \frac{19}{24} < \frac{21}{24}[/tex]

Therefore

                 : [tex]\frac{12}{24} = \frac{1}{2}\ is \ the\ ratio\ less\ than\ \frac{15}{24}[/tex]

Numbers get 10x bigger or smaller when you move one place to the right on the decimal scale. true or false

Answers

Answer:

It is true!!!'djjfdjidjdneidid

The question is shown clearly in the photo below. Please explain step by step.

Answers

Answer:

pls can u tell which grade are you

Answer:

J

Step-by-step explanation:

x+1/x3-x=x+1/x2

=1/x

1/x2-x=1/x

1. Brian's math test scorés: 86, 90, 93, 85, 79, 92, 20, 84
Mean:
Median:

Answers

Mean - 78.6
Median- 85.5

help would be very appreciated

Answers

Answer: 1.5m/s

Step-by-step explanation:

Answer:

1.5m/s

Step-by-step explanation:

distance/time= 6 meters/4 secs=1.5meters per sec

At the school carnival, students can buy tickets in packs of 10. Each pack
of 10 tickets can be used for food or games. Use the coordinate grid below to
determine how many packs of tickets a student can purchase for $27.00.

Answers

Answer:

6 packs

Step-by-step explanation:

The answer is 6 packs of tickets. The reasoning behind this is that the graph literally states it. If you go to the side of the graph that shows how much money they spend, and look at 27 you can see that they bought 6 packs of tickets for 27 dollars. If you wanna know how to solve it like mathematically you really wouldn't need to but you can see that if you were to buy 2 packs of tickets it would be 9 dollars (according to the graph) which if we divide 9 by 2 you figure out that for one pack of tickets its $4.50. Then you could easily just divide 27 by 4.5 and you would be left with 6, the answer. Again though u really don't need to do that the graph shows it for you so these questions should be pretty easy. Hope this helped! (also sorry I'm not the best at explaining things but I tried, Goodluck!!) :)

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