To find the amount of rope needed for the new garage, calculate the perimeter of the planned structure. If the new garage is similar to the current one, maintaining the same width to length ratio (5:4), and the width is increasing to 30 feet, the length will be 24 feet. The total rope required is the perimeter, which is 108 feet.
Explanation:To calculate the amount of rope needed for the new garage with a width of 30 feet, we must find the length of the rectangle that represents the area to be roped off for the concrete pour. If the garage maintains the same shape, which is similar to the current one, we can assume that the length will increase in the same ratio as the width.
The current dimensions are 25 feet wide by 20 feet long, which gives a width to length ratio of 25:20 or 5:4. If we increase the width to 30 feet, maintaining the same ratio, the length should be 24 feet (as 30:24 or 5:4). So the perimeter of the new rectangular area will be twice the width plus twice the length (2 x width + 2 x length = 2 x 30 ft + 2 x 24 ft = 60 ft + 48 ft = 108 ft). Therefore, you will need 108 feet of rope to stake out the perimeter of the new garage.
Final answer:
To find the amount of rope needed for the new garage, calculate the perimeter of the new garage by summing all the sides of the rectangle. The perimeter of the current garage can be used as a reference point. The result is 100 feet of rope needed.
Explanation:
To find the amount of rope you will need, you need to calculate the perimeter of the new garage. The perimeter is the sum of all the sides of a rectangle.
The current garage has a width of 25 feet and a length of 20 feet, so its perimeter is 2(25) + 2(20) = 90 feet.
The new garage will have a width of 30 feet, so its perimeter will be 2(30) + 2(20) = 100 feet.
Therefore, you will need 100 feet of rope to stake and rope off where the concrete will be poured for the new garage.
A company rents two storage units .both units are cube shaped. What is the difference in volume of the two storage units? Note that the volume of acutely is s3, where a is the side length. Explain
Answer:
is there possibly a photo of the two storage units?
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube: Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
How to find the difference in volume of the two storage unitsTo find the difference in volume between two cube-shaped storage units, you'll need to know the side lengths of both cubes. The volume of a cube is given by [tex]V = s^3[/tex], where "V" is the volume, and "s" is the side length.
Let's say the side length of the first cube is "s1" and the side length of the second cube is "s2." Then, the volume of the first storage unit is [tex]V1 = s1^3,[/tex] and the volume of the second storage unit is V2 = [tex]s2^3.[/tex]
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube:
Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
This formula will give you the numerical value of the difference in volume between the two storage units. If you have specific side lengths for both cubes, you can substitute those values into the formula to calculate the exact difference in volume.
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express 0.003597 to three significant figures
Answer:
0.00360.
Step-by-step explanation:
Leading zeros in a number are not significant, so your number has four significant figures.
You must drop the 7 from 0.003597.
Since 7 is greater than 5, you must add 1 to the 9
[tex]\begin{array}{r|l}1& \\0.00359 &\text{7}\!\!\!\!\diagup \\\mathbf{0.00360} & \\\end{array}[/tex]
Final answer:
To express 0.003597 to three significant figures, round to 0.00360; in exponential notation, this is 3.60 × 10^-3.
Explanation:
To express 0.003597 to three significant figures, we identify the first non-zero digit as the starting point of significant figures.
We count three digits from there, which gives us 0.00360 when rounding up the seventh which is in the fourth place after the decimal. In exponential notation, this would be 3.60 × 10-3.
2 Points
What is the measure of ZBPU?
ОВ. 40°
PREVIOUS
Answer:
80
Step-by-step explanation:
40 times 2=80
Have a nice day!!!
What is 2/5 - 1/8 I do not know what it is
Answer
11
—— = 0.27500
40
Answer: 11/40
Step-by-step explanation: 2/5 - 1/8 have to have a common denominator. The common denominator will be 40 so 2/5 = 16/40 1/8 = 5/40. 16-5=11
A traffic signal is green for 20 seconds,
then yellow for 5 seconds, then red for
25 seconds. When you reach the signal,
what is the probability it is green?
Answer:
Step-by-step explanation:
green for 20 seconds
yellow for 5 seconds
red for 25 seconds
total of 50 seconds
P(green) = 20/50 = 2/5
In circle D, mGEC is 230º. What is the measure of ∠GDC ? 70º 130º 170º 360º A circle with center D has points G, F, C and E on the circumference. Points G and D are connected by a line segment. Points D and C are connected by a line segment. Point F is between points G and C and point E is to the left of point G.
The answer is 130. I did the quiz and got it right.
I really hope this ends up helping you. You got this!
The measure of ∠GDC is 130° as it is calculated by subtracting the arc GEC's measure from the total degrees in a circle, which is 360°.
If the measure of arc GEC in circle D is 230°, to find the measure of ∠GDC,
we recall that the measure of an arc in a circle is equal to the measure of the central angle that intercepts that arc. Since ∠GDC is a central angle intercepting arc GEC, its measure must also be 230°.
However, because we are looking for the measure of the angle inside the circle, we must subtract this angle from the total 360° of the circle.
So,
360° - 230°
= 130°
So, the measure of ∠GDC is 130°.
Need help quickly please!!!
Answer:
8
Step-by-step explanation:
HELP QUICK I NEED TO KNOW THIS Kiva’s family is moving and he helps by carrying a 21-pound box to the truck. It is 65% lighter than the box that his father carries to the truck. What is the weight of the box that Kiva's father carries?
To determine the weight of the box Kiva's father carries, we calculate 21 pounds as 35% of the father's box weight and find it to be 60 pounds.
Explanation:Kiva's family is moving and he carries a 21-pound box which is 65% lighter than the box his father carries. To find the weight of the box that Kiva's father carries, we need to determine what weight would be 65% lighter by the smaller box's weight. Let's denote the father's box weight as F. We know that 21 pounds is equal to 35% of the father's box's weight because 100% - 65% = 35%. So, we have:
Represent the relationship as an equation: 0.35F = 21.Divide both sides of the equation by 0.35 to find F: F = 21 ÷ 0.35.Calculate F to find the father's box weight: F = 60 pounds.Therefore, the weight of the box that Kiva's father carries is 60 pounds.
JKL is a right triangle. JL = 10, KL = 8,
and JK = 6. What is cos L?
10
What is the answer
Answer:
[tex] \cos L = \dfrac{4}{5} [/tex]
Step-by-step explanation:
The right angle is angle K. KL and JK are legs. JL is the hypotenuse.
For angle L, KL is the adjacent leg.
In general, for acute angle A of a right triangle,
[tex] \cos A = \dfrac{adjacent~leg}{hypotenuse} [/tex]
In this case,
[tex] \cos L = \dfrac{adj~leg}{hyp} [/tex]
[tex] \cos L = \dfrac{KL}{JL} [/tex]
[tex] \cos L = \dfrac{8}{10} [/tex]
[tex] \cos L = \dfrac{4}{5} [/tex]
the perimeter of a regular hexagon is represented by this expression 42x-24. the expression ______ represents the length of one side of the hexagon.
Yo sup??
let the lenght of one side of the hexagon be y
total perimeter=sum of lenght of all sides=6y
But
perimeter=42x-24
Therefore
6y=42x-24
y=7x-4
Hence the equation of one side is 7x-4
Hope this helps
The answer is 7x-4.
Hope this helped
Two quantities x and y are directly proportional if x is doubled what happens to y?
If x is doubled, then y is also doubled
Solution:
Given that,
Two quantities x and y are directly proportional
For a direct proportion,
If x increases then y increases
If x decreases then y decreases
Given that, x is doubled
Then y will also gets doubled
Also,
x and y are directly proportional
[tex]y \propto x\\\\y = kx[/tex]
Where k is the constant of proportionality
If x is doubled then,
y = k(2x)
y = 2(kx)
Thus y is also doubled
Answer:
its doubled
Step-by-step explanation:
if its doubled then its doubled
please help..!!!!!!!
Answer:
E) (-4, -3)
Step-by-step explanation:
To use elimination, you need to have one variable in both equations that have the same coefficient. (The coefficient is the number attached to the variable). Both equations have "7y".
The way elimination works is by eliminating one of the variables first. Decide how (-7y) and (-7y) can cancel out and become 0. You can either add or subtract.
(-7y) - (-7y) Try subtracting
= (-7y) + 7y
= 0
Based on this, we should subtract the whole equations.
Set up the equations like normal subtraction. Then, subtract each of the terms that have the same variable.
. 4x - 7y = 5
- 9x - 7y = -15 Do 4x - 9x = -5x. -7y - (-7y) = 0. 5 - (-15) = 20.
. -5x - 0 = 20 "y" cancelled out
. -5x = 20 Isolate 'x'
. -5x/-5 = 20/-5 Divide both sides by -5
. x = -4 Solved x-coordinate
Substitute 'x' for -4 in any of the equations. Then simplify and isolate "y" to solve for the y-coordinate.
4x - 7y = 5
4(-4) - 7y = 5 Simplify the multiplication.
-16 - 7y = 5 Start isolating 'y' now
-16 + 16 - 7y = 5 + 16 Add 16 to both sides. Left side cancels out 16
-7y = 5 + 16 Solved right side by adding
-7y = 21
-7y/-7 = 21/-7 Divide both sides by -7
y = -3 Solved y-coordinate
Therefore the answer is (-4, -3).
The two figures above are congruent. Find the measure of the angle that isn't labeled on either figure.
Answer:
I think it's 100
Step-by-step explanation:
133 + 86 + 41 = 260
360 - 260 = 100
Joel looks at a map of Colorado, scowls, and tears it to shreds. "I don't need this lousy map," he mutters, puffing out his chest and continuing his journey through the wilderness. Before he destroyed it, Joel's map showed an outline of Colorado, a rectangular state with dimensions 600\text{ km}600 km600, start text, space, k, m, end text by 450\text{ km}450 km450, start text, space, k, m, end text. Move points to recreate Joel's map of Colorado on the grid below.
Answer:12 x 9
Step-by-step explanation: 600 x 2/100 = 1200/100 = 12
450 x 2/100 = 900/100 = 9
Remember that 100km = 2 units
Draw a rectangle with the dimensions given (600 km by 450 km) to recreate Joel's map of Colorado on the grid. Make sure to align the rectangle's longer side with latitude (horizontal) and shorter side with longitude (vertical).
Explanation:To recreate Joel's map of Colorado on the grid, we can simply consider the dimensions given of 600 km by 450 km. Draw a rectangle on the grid with one side being 600 units (representing km) and the other being 450 units (representing km). This rectangle will represent Colorado, and you can label it accordingly. Keep in mind that since it's a map, the orientation of Colorado's longer side (600 km) should align with the latitude and shorter side (450 km) should align with the longitude, assuming that the west-east direction is taken as horizontal.
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Jack has some marbles. He has ten more red marbles than blue marbles. He has fewer yellow marbles than blue marbles.
How many of each color marble could Jack have?
(This is the whole question)
A possible number of marbles for this situation is:
Red = 13
Blue = 3
Yellow = 2
How many of each color marble could Jack have?
Let's define the variables:
R = number of red marbles.
B = number of blue marbles.
Y = yellow marbles.
Then we can write:
R = B + 10
Y < B
So we have only these two conditions, now let's find possible values.
If we define B = 3, then:
R = 3 + 10 = 13
Y < 3
Then Y can be 2.
So a possible value is:
Red = 13
Blue = 3
Yellow = 2
Final answer:
The number of each color marble Jack has can be determined by setting the number of blue marbles as a variable. Red marbles are ten more than blue, and yellow marbles are fewer than blue. Specific combinations are possible as long as these conditions are met.
Explanation:
Jack has some marbles. He has ten more red marbles than blue marbles and fewer yellow marbles than blue marbles. To determine how many of each color marble Jack could have, consider blue marbles as the variable x. Then, the number of red marbles would be x + 10 and the number of yellow marbles would be less than x.
Here are a few possible combinations:
If Jack has 1 blue marble, he cannot have 10 more red marbles and fewer yellow marbles as this would result in a negative number of yellow marbles which is not possible.
If Jack has 2 blue marbles, then he would have 12 red marbles (x + 10), and potentially 1 yellow marble since it needs to be less than the number of blue marbles.
If Jack has 3 blue marbles, he would have 13 red marbles, and it could be 1 or 2 yellow marbles.
Thus, the compositions of marbles are dependent on the number of blue marbles Jack has. As long as the number of red marbles is ten more than blue and the yellow marbles are fewer than blue, the condition is satisfied.
You have $40 to spend on turkey and cheese for a party. At the deli, turkey is $10 per pound inches is six dollars per pound. Write an equation that represents the situation
Answer:
40=10x+ 6y
Step-by-step explanation:
x representing pounds of turkey
y representing pounds of cheese
jeremy rides his bike at a rate of 12 miles per hour below is a table that represents the number of hours and miles Kevin rides assume both bikers ride at a constant rate which biker rides at a greater speed
The correct answer would be, Jeremy rides at a greater speed than Kevin.
Step-by-step explanation:
Jeremy rides at a rate of 12 miles per hour
Kevin rides at a rate given in the table
Let Y be the distance traveled by Jeremy
And X be the number of hours
Then for Jeremy:
y/x = 12/1
=> y= 12 x
For Kevin:
(46-23)/(4-2)
= 23/2
= 11.5
So for Kevin, Y = 11.5 x
So when Jeremy's and Kevin's rates are compared,
12 > 11.5
which means Jeremy rides at a greater speed.
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To determine which biker rides at a greater speed, Jeremy's speed of 12 miles per hour must be compared with data from Kevin. Without specific information about Kevin's travel distance and time, we cannot conclude who is faster.
Explanation:To determine which biker rides at a greater speed, we must first establish the speed at which Jeremy rides his bike. Then we need to compare that speed to the information given for Kevin. Unfortunately, the question as stated does not provide specific details for Kevin's hours and miles. However, we know that Jeremy rides at 12 miles per hour.
Speed is calculated by dividing the distance traveled by the time it takes to travel that distance. For example, if a cyclist like Jeremy travels 12 miles in 1 hour, his speed is 12 mph. In another example, if Billy rides 6 miles in 0.5 hours (30 minutes) at a speed of 12 km/h, we can calculate his speed in miles per hour by realizing that 1 kilometer is approximately 0.621371 miles.
Without Kevin's data, we cannot compare his speed to Jeremy's directly. To determine which biker rides faster, we would need information on the distance Kevin travels and the time he takes to do so.
what is the measure of angle 7?
m<1 = m<4 by vertical angles theorem
3x + 10 = 4x - 15
-1x = -25
x = 25
m<1 + m<7 = 180 if parallel alternate interior angles supplementary
3x + 10 + m<7 = 180
3(25) + 10 + m<7 = 180
75 + m<7 = 180
m<7 = 105°
Hope this helps! ;)
How many solutions does this system of equations have?
y=-2x+2
2y+4x=4
Answer:
infinitely many solutions
Step-by-step explanation:
look at picture
Help please ! Please answer any
Answers are rectangle, rhombus and parallelogram respectively.
Step-by-step explanation:
Answer to 74 is a rectangle. It has opposite sides equal and adjacent sides are perpendicular.Answer to 75 is a rhombus. It has all equal sides and opposite angles are equal, but adjacent angles are not equal. Answer to 76 is a parallelogram. It has opposite sides equal and parallel but adjacent sides are not equal.What is the long division for 672 divided up 37?
Answer:
18.1621622 or 18.162
Step-by-step explanation:
Answer:
Attached in image below!
A rectangular garden measuring 12 meter by 16 meter is to have a walkway installed around it with a width of x meters as shown below find the area of the walkway
Answer:
[tex]Area\ of\ walkway=4x^2+56x\ meter^2[/tex]
Step-by-step explanation:
[tex]Length\ of\ garden=16\ meters\\\\Width\ of\ garden=12\ meters\\\\Width\ of\ walkway=x\ meters\\\\Now\ Length\ of\ new\ rectangular=16+x+x\ \ \ \ \ (as\ x\ meter\ walkway\ increased\ both\ the\ sides)\\\\Now\ width\ of\ new\ rectangular=12+x+x\ \ \ \ \ (as\ x\ meter\ walkway\ increased\ both\ the\ sides)\\\\Area\ of\ walkway=Area\ of\ new\ rectangular-Area\ of\ rectangular\\\\Area\ of\ rectangle=length\times width\\\\Area\ of\ walkway=(16+2x)\times (12+2x)-16\times 12[/tex][tex]Area\ of\ walkway=16\times 12+2x\times 12+16\times 2x+2x\times 2x-16\times 12\\\\Area\ of\ walkway=4x^2+56x\ meter^2[/tex]
Evan buys some oranges. He gives 1,2 or 3 oranges to April. He has5 oranges left . Draw pictures and write a number sentence to show how many oranges Evan could have bought
Answer:
6, 7 or 8 oranges
Step-by-step explanation:
a pool manager balances the ph level of a pool. the price of a bucket of chlorine tablets is $90, and the price of a ph test kit is $11. the manager uses a coupon that applies a 40% discount to the total cost of the two items. how much money does the pool manager pay for each item?
The pool manager pays $54 for the chlorine tablets and $6.60 for the pH test kit.
Explanation:The pool manager pays $54 for the bucket of chlorine tablets and $6.60 for the pH test kit after applying the 40% discount.
To find the price of the chlorine tablets after the discount, we multiply $90 by 40% to get $36. Subtracting $36 from $90 gives us the final price of $54.To find the price of the pH test kit after the discount, we multiply $11 by 40% to get $4.40. Subtracting $4.40 from $11 gives us the final price of $6.60.Therefore, the pool manager pays $54 for the chlorine tablets and $6.60 for the pH test kit.
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The pool manager pays the cost of $54 for the chlorine tablets and $6.60 for the pH test kit.
Explanation:The calculation you're looking to perform is a simple example of a percentage discount on a sum of money. To figure out how much the pool manager pays for each item, you have to first calculate the total cost of the items. The total cost of both the bucket of chlorine tablets ($90) and the pH test kit ($11) is $101.
A 40% discount on the total cost is then calculated by taking 40% of $101, which is $40.40. This discount is subtracted from the total cost (101-40.40), leaving the pool manager to pay $60.60. To determine the cost of each item after the discount, we assume that the discount was applied equally to both items.
This means that the cost price for each the bucket of chlorine tablets and pH test kit, after the discount, would be $54 and $6.60 respectively.
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If the percent of discount is 55% and the sale price is $60 what was the original price
Answer:
133.33 dollars bc when u divide 133.33 form 55% it's 60 dollars.
43. Claire is buying a new bicycle for $295. If the
sales tax is 4.75%, what will she pay in total?
Answer: $299.75
Step-by-step explanation:
Choose all that give the correct expression for the quantity described.
Answer:
Its D on e2020
Step-by-step explanation:
trust me
if conditional is true and it’s_____ is true, then the conclusion is true
Answer:
hypothesis
Step-by-step explanation:
The statement "if p, then q" is a conditional statement.
p----->is the hypothesis
q----->is the conclusion
This conditional is true if it's hypothesis true and the conclusion is true.
This is just one out three situations for which the conditional is true.
Write an equation of a line parallel to y = -2x + 3 that passes through (-2,-1)
[tex]\boxed{y=-2x-5}[/tex]
Explanation:The slope-intercept form of the equation of a line:
[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept[/tex]
The given line has the following characteristics:
[tex]y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3[/tex]
So the line we are looking for needs to be:
[tex]y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5[/tex]
So, the equation of the line would be:
[tex]\boxed{y=-2x+3}[/tex]
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last year, dee got 60 pounds of tomatoes off the tomato plant in her garden. if she plants 4 tomato plants this year, about how many pounds of tomatoes should she expect?
A: 40 pounds
B: 60 pounds
C: 180 pounds
D:240 pounds