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trasher [3.6K]
3 years ago
12

Alberto measures the length of a piece of wire to be 105 cm. The actual length of the wire was 120 cm. What was the percent erro

r of Alberto's measurement? Show your work. ​
Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

Answer:

12.5%

Step-by-step explanation:

105 over 120 is the fraction that he got so you subtract 105 from 120 to get how much he missed. 120-105=15

He miscalculated by 15 cm out of the total of 120, 15/ 120

15/120=5/40=2.5/20 multiply the top and bottom by 5 to get the percentage out of 100. 2.5 times 5 =12.5, so he miscalculated by 12.5%

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Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

8 0
3 years ago
Roy planted corn on 1/5of his land. If he planted45 acres of corn, how many acres of land doeshe have?(A) 90(B) 112 (1/2)(C) 135
melisa1 [442]

Correct option is C. He has 225 acres of land .

Let the Number of acres of land Roy have = x

As he planted corn on  1/5  of his land,

Number of acres of his land planted with corn =  1/5  × Number of acres of land Roy have

=  x/5

As he planted 45 acres of his land with corn,

⇒ x/5​

 = 45

⇒x = 45 × 5

⇒x = 225

Therefore, number of acres of land Roy have is   225  .

To learn more about fraction from given link

brainly.com/question/78672

#SPJ4

4 0
2 years ago
What is 56/1/3 = ?beats per minute
alisha [4.7K]

Answer: i hope im right

between 60 and 100 beats per minute (bpm). A resting heart rate slower than 60 bpm is considered bradycardia.May 7, 2018

Step-by-step explanation:

7 0
2 years ago
if you deposit $8000 into an account paying 9% annual interest compunded semi anually how long will it take for your money to do
Anna007 [38]

Answer:

7.87 years

Step-by-step explanation:

#First we determine the effective annual rate based on the 9% compounded semi annual;

i_m=(1+i/m)^m-1\\\\=(1+0.09/2)^2-1\\\\=0.09203

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

A=P(1+i)^n\\\\A=2P, i=i_m\\\\16000=8000(1.09203)^n\\\\2=1.09203^n\\\\n=\frac{log \ 2}{log \ 1.09203}\\\\=7.87324\approx7.87 \ yrs

Hence, it takes 7.87 years for the principal amount to double.

4 0
3 years ago
You missed an A in your art course by only 7 points. Your point total for the course was 371. How many points were possible in t
Nikitich [7]

The number of points that  were possible in the course is 420

What is the required number of points for grade A?

The number of points the student needs to have to make grade A is the student's current points of 371 plus the 7 points remaining to make grade A

Total points for A=371+7

total points for grade A=378

90% of the course total=378

divide both sides 90

90% /90 =378/90

1%=378/90

100%=378/90*100

100%=420

Find out more about course points on:brainly.com/question/8429607

#SPJ1

3 0
2 years ago
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