The left over fabric area is; 0.03 m²
What is the area of the circle?Now, if the radius of a circle is r, then the diameter is;
d = 2r
Now, there are 16 identical circles to be cut from a square sheet of fabric whose sides are 0.4 m long.
Thus, the height of the square will be the diameter of four circles.
Height of square = 4(2r) = 8r
Thus;
8r = 0.4
r = 0.4/8
r = 1/20 m
Left over fabric area = (0.4 * 0.4) - (π × (1/20)²)
Left over fabric area = 0.03 m²
Read more about Area of a Circle at; https://brainly.com/question/15673093
#SPJ1
What is the value of the quantity negative one sixth cubed all raised to the power of negative 3?
10,077,696
1
−1
−10,077,696
The value of the expression is −10,077,696
How to evaluate the expression?The expression is given as:
negative one sixth cubed all raised to the power of negative 3?
Rewrite properly as:
(-1/6^3)^-3
Evaluate the exponent of 6 to 3
So, we have:
(-1/216)^-3
Apply the law of negative exponent
So, we have
(-216)^3
Evaluate the exponent
−10,077,696
Hence, the value of the expression is −10,077,696
Read more about expressions at:
brainly.com/question/723406
#SPJ1
please help !!!! ASAP Thank you in advance :) !
Fill in the blank if sin=3/5, then cos=
Answer:
cos = 4/5
Step-by-step explanation:
having sides 3 and 5, means that this is a right triangle with sides 3,4, and 5
cos = adjacent side/ hypotenuse
sin= opposite side/ hypotenuse
since 5 is the biggest number it will be the hypotenuse since that is the longest side, so it will stay on the bottom.
hope this helps! if you have any more questions just ask
What is the reciprocal of 5/29
Answer:
[tex]\frac{29}{5}[/tex] or [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
Keep in mind that a reciprocal is a fraction flipped. For example, if we have 3/10, the reciprocal would be 10/3.
Since [tex]\frac{29}{5}[/tex] is an improper fraction, we have to simplify it to a mixed number.
Depreciation for the current year includes equipment $3100. The accumulated depreciation equipment unadjusted balance of December 31 is $6700
The value is 3600
According to question ,
given that, Depreciation for the current year is $ 3100
accumulated depreciation equipment is $ 6700
Unadjusted balance of December
6700 - 3100 = 3600
Depreciation is the process of deducting the total cost of something expensive you bought for your business. But instead of doing it all in one tax year, you write off parts of it over time. When you depreciate assets, you can plan how much money is written off each year, giving you more control over your finances.
Formula: (asset cost – salvage value) / useful life
explain the formula: You divide the cost of an asset, minus its salvage value, over its useful life. That determines how much depreciation you deduct each year.
Accumulated depreciation is the total amount an asset has been depreciated up until a single point. Each period, the depreciation expense recorded in that period is added to the beginning accumulated depreciation balance
Learn more about depreciation here: brainly.in/question/20869135
SPJ9
On a hot summer day, Lisa and her friends decided to have a water fight. They threw water balloons for 52 minutes. When all the water balloons were gone, they sprayed water with hoses for 29 minutes. The water fight ended at 2:48 P.M. when Lisa's dad showed up with ice cream. What time did the water fight start?
Answer:
1:27pm
Step-by-step explanation:
52 + 8 = 1 hour
29 - 8 = 21
1 hour and 21 minutes
2:48 - 1:21
1:27pm
The students in art class have blue cloth that's 60 inches long, glod cloth that is 48 inches long, and white cloth that is 72 inches long. They want to cut all the cloth into pieces of equal lenght for a project.
What is the greatest lenght of the pieces without having any cloth leftover? explain your reasoning.
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are greatest lenght of the pieces by greatest common factor.
What does "largest common factor" mean?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four.a. As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.
First we will factor out all three numbers completely
60 = 2 × 2 × 3 × 5
48 = 2 × 2 × 2 × 2 ×3
72 = 2 × 2 × 2 × 3 × 3
The common factors are: 2, 2 and 3
Thus the GCF = 2 × 2 × 3 = 12
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
b. For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So
Number of pieces for blue cloth = 60/12 = 5
Number of pieces for gold cloth = 48/12 = 3
Number of pieces for white cloth = 72/12= 6
Learn more about greatest common factor
brainly.com/question/11221202
#SPJ9
If a company has $340,000 worth of sales and $230,000 of costs, correct to 2 two significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.
Hence , the maximum and minimum relative profit to the appropriate accuracy are 0.33 and 0.31 respectively .
Upper and lower bounds square measure the most and minimum values that variety may are before it had been rounded. they will even be referred to as limits of accuracy.The higher and lower bounds is written victimization error intervalsIt is given that p=(s-c)/s......(1) and sales = $340,000 and cost = $230,000
Putting s = $340,000 , c = $230,000
p = 340,000 - 230,000 / 340,000
p = 110000 /340,000
p = 0.3235
p = 0.32
The largest variety which will round off to relinquish 0.32 is 0.33 therefore we are saying that 0.33 is that the edge.
The smallest variety which will gather to 0.32 is 0.31 this is often the edge.
Learn more about upper and lower bond here :
https://brainly.com/question/15408313
#SPJ1
The complete question is given below :
To determine whether a business is making enough profit, the following formula is used p=(s-c)/s where P is relative profit, S is sales and C is costs. If a company has $340 000 worth of sales and $230000 of costs, correct to 2 significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.
A white tailed deer can sprint up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.
Answer:
The American bison is 10 miles per hour faster. It can run at 40 miles per hour.
Step-by-step explanation:
See the picture for the conversion. I used unit multiplies to change feet to miles and seconds to minutes.
One hundred and five students see a play. Each ticket costs $45. What is the total amount the students spend for tickets? Use mental math.
Answer:
4725
Step-by-step explanation:
105 students
think of 100 students
100 × 45 = 4500
now the remaining 5 students
cost for 10 students will be
45 × 10 = 450
divide 450 by 2 to find out for 5 students
it is 225
4500 + 225 = 4725
=. What does the expression (x+3)(9) represent? Why?
Anyone can help me thanks
Answer:
When expenses are greater than revenue (first choice)
Step-by-step explanation:
Answer:
When expenses are greater than our revenue
Does the mapping diagram represent a function? Why or why not? X -6 2- 3 y 10 5 4 A. No; the input value x = 3 pairs with two different output values. B. No; two output values pair with two different input values. C. No; each input pairs with only one output. D. Yes; each input pairs with only one output.
Answer:
A. No; the input value x=3 pairs with two different output values.
Step-by-step explanation:
For this to be a function, each of the x values should have only one output value.
Hope this helps!
Please mark as brainliest if correct!
The ratio of girls to boys in a a gardening club was 6:2 there were 16 boy how many are girls
Answer:
I don't know
Step-by-step explanation:
tdhdujdjbd
Jenna alone takes x days to finish a project kelly alone takes 3 days more than jenna alone to finish the project. if they together take 2 days to finish the project, find the value of x.
The value of x is 3 days.
Here,
Jenna alone takes x days to finish a project.
Kelly alone takes 3 days more than Jenna alone to finish the project.
They together take 2 days to finish the project.
We have to find the value of x.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now,
Jenna alone takes x days to finish a project.
Hence, Jenna complete work in 1 day = 1/x work
Kelly alone takes 3 days more than Jenna alone to finish the project.
That is, x + 3 days.
Hence, Kelly complete work in 1 day = [tex]\frac{1}{x+3}[/tex] work
They together take 2 days to finish the project.
Hence, They together complete a work in 1 day = 1/2 work.
To find the value of x we use the formula of work word problem as;
[tex]\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3[/tex]
Since, The value of x = -2 is not possible (because days are not shown in negative sign).
Hence, The value of x is 3 days.
Learn more about the mathematical expression visit:
https://brainly.com/question/28374179
#SPJ4
a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.
Height of the base = 10cm
The definition of triangular volume?
The formula Area = Half of Base by Altitude is used to determine the area of a triangle. A = 0.5 X b X a . The formula for determining a triangular prism's volume is V = 0.5 X b X an X h.Given a candy box is in the shape of triangular prism
Volume of the box = 1200 cm³
Base of the triangle = 10cm
Side of the triangle = 13cm
Length of the box = 20 cm
Let the height of the base = h cm
Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)
1200 = (1/2)×10×h×20
1200 = 100h
h = 1200/100
h = 12 cm
So, height of the triangle = 10cm
Learn more about Volume of the triangular prism
brainly.com/question/17004095
#SPJ4
Please answer the question in the picture above.
A.)6.5 ft²
B.)13 ft2
C.)78 ft²
D.)156 ft2
The given triangle is 6.5 ft2.
Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle. Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.
The given triangle can be redraw as
Area of the rectangle is (39/2) × 48 (in)2 = 936 in2
1 ft = 12in
1/12 ft = 1in
(in)2 = (1/12)2 (ft)2
= 1/144 (ft)2
936 (in)2 = 936 × 1/144 (ft)2
=6.5 (ft)2
Hence, the given triangle is 6.5 ft2.
To learn more about similar triangles visit:
brainly.com/question/11515181
#SPJ9
100 POINTS!! Can someone please help me determine what im doing wrong on 1 and 2..
Answer: 1) m=12/7 2) y=(12/7)x
Step-by-step explanation:
C(0,0) D(7,12)
[tex]\displaystyle\\1)\ Slope=m=\frac{rise}{run} =\frac{y_D-y_C}{x_D-x_C} \\\\m=\frac{12-0}{7-0} \\\\m=\frac{12}{7}[/tex]
[tex]\displaystyle\\2)\ y=mx+b\ \ \ \ m=\frac{12}{7} \ \ \ \ C(0,0)\\0=\frac{12}{7} *0+b\\\\0=0+b\\\\0=b\\\\Hence,\\\\y=\frac{12}{7} x+0\\\\y=\frac{12}{7}x[/tex]
A hockey team has 6 forwards, 4 defensemen, and 2 goalies. at any time, 3 forwards, 2 defensemen, and 1 goalie can be on the ice. how many combinations of players can a coach put on the ice?
A coach may use 240 different player combinations on the rink.
What are some permutation and combination examples?
The arrangement of people, numerals, numbers, alphabets, letters, and colors are a few examples of permutations.
Combinations include picking the meal, the cuisine, the attire, the subjects, and the team, for instance.
Forward 6C3 = 20
Defence 4C2 = 6
Golie 2C1 = 2
No. of possible Combination = 20 * 6 * 2 = 240
Learn more about permutation and combination
brainly.com/question/16837159
#SPJ4
A researcher measures eye color for a sample of n = 50 people. which measure of central tendency would be appropriate to summarize the measurements?
According to the statement:
Mode measure of central tendency would be appropriate to summarize the measurements.
The correct option is B.
Briefing:We can't use mean or median because they have no physical meaning, i.e., eyes that are somewhere between black and white.
When you need to use all of the data's values, you would use the mean. When you only need to use two values, such as the upper and lower values, you would use the median. And when ones data is unobservable, such as when you need to determine peoples' opinions, you would use the mode.
What is mean ,Midian and mode?Add up all the values inside the data set, then divide by the total number of values to find the mean. List the data set's values in numerical order, and then find the value that sits in the middle of the list to determine the median. Choose the data set value that appears the most frequently to determine the mode.
To know more about mode visit:
https://brainly.com/question/17727138
#SPJ4
I understand that the question you are looking for is:
A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?
Select one:
a. weighted mean
b. mode
c. median
d. mean
1. Which of the following shows the statement 4 less than 12?
a. 4 - 12
b. 12 + 4
c. 12 - 4
d. 4 + 12
Answer:
C is correct
Step-by-step explanation: please let me know if it was rong
15.
if the measure of angle 2 is 8x + 10 and the
measure of angle 6 is x^2-38, what is the measure
of angle 8
a. 42
b. 74
c. 84
d. 106
e. 138
The measure of the angle 8 is option (d). 106.
Measure of Angle
Angle measurement is the amount of rotation from the initial to an endpoint of a ray.
Given,
Measure of Angle 2 = 8x + 10
Measure of angle 6 = x² - 38
Here we need to find the measure of angle 8.
Let us consider the angle 2 and 6 are corresponding angles.
Then,
Measure of Angle 2 = Measure of Angle 6
Apply the corresponding values,
Then we get,
8x + 10 = x² - 38
It can be written as,
=> x² - 38 - 8x - 10 = 0
=> x² - 8x - 48 = 0
When we factorize the equation,
Then we get,
=> (x + 4) ( x - 12) = 0
Then the value of x will be x = -4 and 12.
Here the value of x can't be negative.
So,
=> x = 12
Now apply the value of x on the measure of angle 2,
=> 8(12) + 10
=> 96 + 10
=> 106
So, the measure of angle 8 is option (d). 106.
To know more about Measure of Angle here.
https://brainly.com/question/14684647
#SPJ4
A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mean?
The mean of a set of final scores from a recent outing is 50.77
Here,
A group of friends enjoys playing miniature golf together.
Here are a set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
We have to find the mean.
What is Mean?
The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Now,
Set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
Then, Mean = 39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9
= 457/9
= 50.77
Hence,
The mean of a set of final scores from a recent outing is 50.77
Learn more about the mean visit:
https://brainly.com/question/1136789
#SPJ4
The following rectangle has a length of 6 centimeters and an unknown width. If the
perimeter is 21 centimeters, what is the width of the rectangle? Set up an equation, and solve.
Answer:
The width is 4.5 cm
Step-by-step explanation:
w + w+ 6 + 6 = 21 Combine like terms
2w + 12 = 21 Subtract 12 from both sides
2w = 9 Divide both sides by 2
w = 4.5
PLEASE HELP !! 30 POINTS
Answer:
A = 11
B = 8
Step-by-step explanation:
The function is 2[tex]2x^2 + x + 5[/tex]
To determine y=A and y=B simply substitute the value of x corresponding to that y-value
A is at x = -2
At x = -2,
[tex]\mathsf =2\left(-2\right)^2+\left(-2\right)+5[/tex]
= [tex]2\cdot \:4+\left(-2\right)+5[/tex]
[tex]= 8 - 2 + 5[/tex]
[tex]= 11[/tex]
So [tex]\boxed{A = 11}[/tex]
For B, note that x = 1
So y-value for x = 1 is
[tex]y = 2\cdot \:1^2+\:1+5[/tex]
[tex]=2\cdot \:1+1+5[/tex]
[tex]=2+1+5[/tex]
[tex]=8[/tex]
So [tex]\boxed{B=8}[/tex]
The larger of two numbers is 17 more than the smaller number. The sum of the two numbers is 71.
Answer:
The smaller number is 27 and the larger number is 44
Step-by-step explanation:
Let x = the larger number
Let y = the smaller number
x + y = 71
x = y + 17 Substitute in y + 17 for x in the first equation.
x + y = 71
y +17 + y = 71 Combine the y's.
2y + 17 = 71 Subtract 17 from both sides of the equation
2y = 54 Divide both sides of the equation by 2
y = 27. Plug 27 in for y for either of the two original equation to find x
x + y = 71
x + 27 = 71 Subtract 27 from both sides of the equation
x = 44
Polygon L is a scaled copy of Polygon K
What is the value of J ?
The value of j in the scaled copy in the polygon is: 0.03.
How to Find the Sides of a Scaled Copy?When a figure is scaled, the corresponding dimensions of the new and original figures have a ratio that is the same because they are proportional to each other.
Polygon K and polygon L are similar polygons and therefore their corresponding side lengths are proportional. The ratio below would be created:
j/0.5 = 0.18/3
Cross multiply
j = (0.5 × 0.18)/3
j = 0.09/3
j = 0.03
Therefore, the value of j in the scaled copy in the polygon is: 0.03.
Learn more about scaled copy on:
https://brainly.com/question/9762240
#SPJ1
Help!!! Please help urgently!
Answer:
x = 18
Step-by-step explanation:
25 + 20 = 45
Proportions:
45 ⇒ 50
20 ⇒ x
x = 45*20/50
x = 18
Identify the coefficients and constants in the following
expressions: 3 + 7x
Answer:
Answer
Step-by-step explanation:
3 is the constant since there is no variable beside it, and 7 is the coefficient because there is a variable beside it.
