- Lawrence bends a wire of length 18 cm
into an equilateral triangle. He then
measures the sides of the triangle and
finds them to be 5.8 cm each.He uses
this measurement to calculate his
absolute error in the area obtained. What
is his answer?

Answers

Answer 1

Answer:

1.02 cm²

Step-by-step explanation:

An equilateral triangle is a triangle with all three sides of equal length.

The perimeter of the triangle made by Lawrence is 18 cm. Which is calculated as follows:

perimeter of equilateral triangle = 3*side

Therefore, each side is 18/3 = 6 cm long

Area of equilateral triangle =  √3/4*side²

Area obtained by Lawrence = √3/4*5.8² = 14.57 cm²

Actual area of the triangle = √3/4*6² = 15.59 cm²

Absolute Error = | Measured Value - Actual Value |

Absolute Error = |14.57 - 15.59| = 1.02 cm²


Related Questions

PLEASE HELP For a particular​ transformer, the voltage E in the circuits is related to the number of windings W of wire around the core by the equation E=40W. How many windings will produce a voltage of 760 ​V? A voltage of 760 V will be produced by ? windings.

Answers

Answer:

A voltage of 760V will be produced by 19 windings.

Step-by-step explanation:

Given the equation:

E = 40W

Where E is the Voltage in the circuits

and W is the number of windings

Given that E = 760V

To find: W = ?

Solution: Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.

So, Putting the value of E in the given formula and finding W, the number of windings:

[tex]760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19[/tex]

So, number of windings for a voltage E = 760V is 19.

A voltage of 760V will be produced by 19 windings.

FIRST GETS BRAINLLEST If each 2 cm on the scale drawing below equals 8 feet, what is the actual length of the green line? 16ft 18ft 19.5 ft 21 ft

Answers

Answer: The correct answer is 18ft

Step-by-step explanation:

Answer:

16 ft

Step-by-step explanation:

If you simply the ratio of 2/8 it becomes 1/4

This means that it has to be a multiple of 4

is question 5 right? ignore number 6 i couldn’t crop it out of the picture but please help! i’ll give brainliest :)

Answers

Answer:

-47 > 1 - 8x > -63

-48 > -8x > -64 (subtract 1 from -47 and -63)

6 < x < 8 (divide inequality by -8; when you multiply/divide by a negative number you need to flip the sign)

Answer:

its wrong because when u moved the 8 to other side it would be positive. And u didnt switch sign for the 6

Step-by-step explanation:

-47 > 1-8x > -63

Seperate them into two inequalities

-47> 1-8x                                                    

Move 1 to the other side it will become -1

-47-1>-8x

-48>-8x

Divide -8 on both sides which will make the sign opposite because dividing with a negative number

6<x

1-8x>-63

Subtract 1 on both sides

-8x>-64

Divide -8 on both sides which will switch sign

x<8

-5/7 times 1/5 please help solve

Answers

Answer:

-1/7

Step-by-step explanation:

-5/7 × 1/5

Multiply numerator with numerator and denominator with denominator.

-5/35

Simplify.

-1/7

Answer:

Brainliest1

Step-by-step explanation:

-5/7 x 1/5 = -5/35 = -1/7

Determine the area of the given kite. ANSWERS: 342 square units 2520 square units 5040 square units 684 square units

Answers

Answer: 342 square units

Step-by-step explanation:

Area of a kite = pq / 2 ( where PQ represents both diagonals)

Area = (38 x 18) / 2

Area = 684 / 2

Area = 342

Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.

Answers

Answer:

The third and fourth options.

Step-by-step explanation:

You simplify the inequality first...

-6x + 15 < 10 - 5x

-x < -5

x > 5

The first option is incorrect since it is less than.

The second option is basically -5x < 15; x > -3; that's incorrect.

The third option is basically -x < -5; x > 5; that is correct!

The fourth option is correct since it shows more than 5.

The fifth option is incorrect because it shows less than -5.

Hope this helps!

Answer: The answer is C and E

Step-by-step explanation:

Hope this helps;)

Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butterflies Total Number of Butterflies P 25 53 Q 35 64 R 37 75 S 23 55 Based on the survey, which park had the greatest percentage of pink butterflies? Park P Park Q Park R Park S

Answers

Answer:

Park Q has greatest percentage of pink butterflies.

Step-by-step explanation:

Butterfly Park Survey Park           P     Q      R       S

No, of Pink Butterflies                  25    35   37      23

Total Number of Butterflies          53    64   75     55

Now we are supposed to find which park had the greatest percentage of pink butterflies

So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]

Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]

Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]

Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]

So, Park Q has greatest percentage of pink butterflies.

So, Option B is true

Hence Park Q has greatest percentage of pink butterflies.

Which of the following best describes the slope of the line below? A. Zero B. Negative C. Undefined D. Positive

Answers

Answer:

C. Undefined

Step-by-step explanation:

Any vertical line is going to have an undefined slope. Plug in any two points from that line, and the formula will give you an undefined number.

Hope this helps!

Does this table represent a function? why or why not?

Answers

Answer:

I think it's A but I could be wrong

Answer: B

Step-by-step explanation:

A graph or table is a function if it passes the vertical line test. That means, each x and only 1 y. One x cannot have more than 1 y because, that means it does not pass the veritcal line test. In the vertical line test, the vertival line only passes through 1 point, not 2. Since we know that this graph does not pass the vertical in test, we can eliminate C and D. We can eliminate A because 2 y-values can be the same as lone as there have different x. B fits the description of what we see on the table. Therefore, the answer is B.

linear inequality: solve -4x+2

Answers

Answer:

x≤-6

Step-by-step explanation:

-4x+2≥ 26

Subtract 2 from each side

-4x+2-2 ≥ 26 -2

-4x ≥ 24

Divide by -4 remembering to flip the inequality

-4x/-4 ≤-24/-4

x≤-6

Answer:

B. x ≤ -6

Step-by-step explanation:

-4x + 2 ≥ 26

Subtract 2 on both sides.

-4x ≥ 26 - 2

-4x ≥ 24

Divide -4 on both sides.

x ≤ 24/-4

x ≤ -6

What is the value of n in the equation below?

StartFraction 12 Superscript n Over 12 Superscript 5 EndFraction = 12 Superscript 4

Answers

Answer:

9 is the answer happy to help

Answer:

12

Step-by-step explanation:

Edge

The point (2,-5) is reflected over the y-axis. Which of the following points is the image?
(-2,5)
(-2,-5)
(2,-5)
(2,5)

Answers

2,5 would be the answer

Mary took out a loan to buy a $30,000 boat but had $2,000 cash to put down. Which of the following is true?
a. Mary decreased both assets and liabilities.
b. Mary increased both assets and liabilities.
C. Mary decreased assets and increased liabilities.
d. Mary increased assets and decreased liabilities.
Please select the best answer from the choices provided
A
B
С
D

Answers

I will send it to you tomorrow at noon please remind me

Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t Write r as a percent. Q = 1750 (1.593) Superscript t a. a = 1750 b = 1.593 r = 0.593% c. a = 2787.75 b = 2.5376 r = 0.593% b. a = 1750 b = 1.593 r = 59.3% d. a = 2787.75 b = 1.593 r = 59.3%

Answers

Answer:

Option b.

Step-by-step explanation:

If the starting value a, the growth factor b, and the growth rate r, then

[tex]Q=ab^t=a(1+r)^t[/tex]        ...(1)

It is given that

[tex]Q=1750(1.593)^t[/tex]        ...(2)

On comparing (1) and (2), we get

[tex]a=1750, b=1.593[/tex]

Now, equation (2) can be rewritten as

[tex]Q=1750(1+0.593)^t[/tex]        ...(3)

On comparing (1) and (2), we get

[tex]r=0.593[/tex]

[tex]r=(0.593\times 100)\%[/tex]

[tex]r=59.3\%[/tex]

Therefore, the correct option is b.

Does anyone know it?

Answers

Answer:

Are there other numbers? Other than he bought 8 eggs?

Step-by-step explanation:

It is 8 ,cause the how much you will have at the end

(-4,0)slope=1/2 write equation of the line

Answers

Answer:

Y = 1/2x+2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = 1/2x +b

Substitute the point into the equation

0 = 1/2 (-4) +b

0 = -2+b

b=2

Y = 1/2x+2

HELP ASAP BRAINLIEST AND THX!

Answers

Answer:

A.

Step-by-step explanation:

Scarlett made 36 muffins on Tuesday, and 20 of the muffins were blueberry. What is the ratio of blueberry muffins to all muffins?

Answers

Answer:I belive it is 56 I may be wrong but it iz what it iz

Step-by-step explanation:

Answer:

20 blueberry muffins: 36 muffins

if you want simplest form, then 5 blueberry muffins: 9 muffins

Step-by-step explanation:

Simplest form=

blueberry muffins= 20/4=5  blueberry muffins

muffins= 36/4=9 muffins

5 blueberry muffins: 9 muffins

Calculate the length of the unknown side of this right-angled triangle.
9 cm
17 cm

Answers

Answer:

14.4 cm

Step-by-step explanation:

Answer:

4√13

Step-by-step explanation:

Let's call the missing side length x

The given is a right triangle and in right triangle the square

length of hypotenuse is equal to square sum of other two side lengths

17^2 = 9^2 + x^2

289 = 81 + x^2 subtract 81 from both sides

208 = x^2

4√13 = x

Given the following function find f(-2)

Answers

Answer:

f(-2) = 1

Step-by-step explanation:

Simply plug in -2 for x in our given function:

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

f(-2) = -5/(-4 - 1)

f(-2) = -5/(-5)

f(-2) = 1

Answer:

1

Step-by-step explanation:

Plug x as -2 and solve.

(-2 - 3)/(2(-2) - 1)

-5/(-4 - 1)

-5/-5

= 1


Joshua is going to mow lawns during his summer break. The graph in the figure shows a linear relationship between the number of weeks he will be
mowing and the number of lawns he will mow. If he earns $25 for each lawn he mows, how much money will he earn after mowing lawns 5 weeks?
A. $125
B. $750
C. $1,500
D. $3,000

Answers

the answer would be C because you would do 60 x 25 which would give you 1,500

Answer:

$1,500

Step-by-step explanation:

We see on the graph that he mows 60 lawns in 5 weeks so if we multiply 60 by 25 because 25 is the amount of money he makes for each lawn he mows, we get 1,500 dollars.

please mark me brainliest!

2. Which situation does have a final value of 0?
A. A jet rose to a height of 1000 feet above the ground. It then descended to a height of 100 feet.
B. The temperature at 1:00 p.m. was 10°F. It dropped another 10° over 4 hours.
C. Pace deposits $10 in his account and then withdrew $10.
D. Keith gained 8 yards during the first quarter of the football game and then lost 8 yards during the second quarter.

BTW ITS #2 not #3 :)

Answers

Answer:

The answer is d i think

Step-by-step explanation:

which of the following does NOT represent a function ?

Answers

Answer:. C is not a function.

Step-by-step explanation: If there is more than one y-value for each x-value, it can't be a function. The elipse has two y-values for each x.

Answer:

It will be the third option.

Step-by-step explanation:

Tom and Jerry are selling fruit for a charity fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Tom sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Jerry sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. Please use equations to solve the problem.

Answers

Step-by-step explanation:

3x + 14y = 203

2. 11x + 11y = 220

3. Divide the last equation above by 11: x + y = 20

4. This is the same as saying x = 20 - y

5. Now, substitute for x in the first equation: 3(20 - y) + 14y = 203

6. The above equation simplifies to 60 - 3y + 14y = 203

7. Now express the equation in terms of y: 11y = 143

8. From the last equation, y = 13

9. Since x + y = 20, x = 7

10. Check: (3 times 7) + (14 times 13) = 21 + 182 = 203;

(11 times 7) + (11 times 13) = 77 + 143 = 220

One small box of oranges costs is $[tex]7[/tex].

One Large box of oranges costs is $[tex]13[/tex].

Cost Price:

Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service. A cost price includes all outlays that are required for production, including property costs, materials, power, research and development, testing, worker wages, and anything else that must be paid for.

Tom sold 3 small boxes and 14 large boxes of orange for a total of $[tex]203[/tex]

[tex]\Rightarrow 3S+14L=203......(1)[/tex]

Jerry sold [tex]11[/tex] small boxes and [tex]11[/tex] large boxes of oranges for a total of $[tex]220[/tex]

[tex]\Rightarrow 11S+11L=220.....\left ( 2 \right )[/tex]

Solving equations (1) and (2), we get;

[tex]L=\frac{1573}{121}=13 \\ L=13[/tex]

Substitute [tex]L=13[/tex] in equation (2)

[tex]\Rightarrow 11S+11(13)=220[/tex]

[tex]S=\frac{77}{11}=7[/tex]

[tex]\therefore[/tex] One small box of oranges costs is $[tex]7[/tex].

One Large box of oranges costs is $[tex]13[/tex].

Learn more about Cost Price: https://brainly.com/question/12252562

John is four years younger than Paul who is p years old. How old will John be in two years?

Answers

Answer:

In two years, John will be two years younger than Paulś age today, or four years younger than Paul at the time.

Step-by-step explanation:

59. A car dealership has SUVs and sedans in a ratio of
5:9. How many sedans does the car dealership
have if there are 140 SUVs?

Answers

Answer:

The car dealership has 252 sedans.

Step-by-step explanation:

Number of SUVs = 140

Ratio of SUVs to sedans = 5:9

Sum of ratios = 5+9 = 14

Total number of cars = 14/5 × 140 = 392

Number of sedans = 9/14 × 392 = 252

In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the following: b m∠A = 125°, m∠B = 33° quick I will give brainliest, need in 5 minutes!

Answers

Answer:

∠AOB = 101°

Step-by-step explanation:

Given:

AD is the angle bisector of ∠A

BE is the angle bisector of ∠B.

∠A = 125°

∠B = 33°

Find:

∠AOB

Computation:

∠BAO = 125° / 2 = 62.5°

∠ABO = 33°/2 = 16.5°

So,

∠AOB + ∠BAO + ∠ABO = 180°

∠AOB + 62.5° + 16.5° = 180°

∠AOB = 101°

Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.

Answers

Answer: Slope 1/4  therefore slope of new line would be -1/4

Step-by-step explanation:

The points of the inverse of the line provided on the graph are as under:

x=2,y=5

x=0,y=-5

x=1,y=0

What is the inverse of a line?

It means interchanging the values of x with the values of y and form a line which is known a inverse of a line.

How to graph the inverse of a line?

firstly point out the points from the graph given in the question as in the graph1 below

now by interchanging the values we get the values of inverse of the line as in the graph 2

By plotting these points on the graph we get the inverse of the line which is in the graph 3

Learn more about inverse of a line at https://brainly.com/question/4335018

#SPJ2

and distance of the last ramp is ______ feet (round to the nearest foot)

Answers

Answer:

The distance of the last ramp is 10 feet.

Step-by-step explanation:

From the options and the question, I assume that the height of the ramp is 6 feet. Pythagorean theorem states:

a² + b² = c²

where c is the hypotenuse, and a and b are the legs of the triangle. In this case:

6² + 8² = x²

√100 = x

10 ft = x

Struggling!!! Math help plss!!! ​

Answers

Answer:

Step-by-step explanation:

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