Final answer:
The width is 11 feet and the length is 17 feet.
Explanation:
The question asks us to find the length and width of a rectangle where the length is 6 feet longer than the width and the perimeter is 56 feet. To solve this, let's denote the width of the rectangle as w feet.
Since the length is 6 feet longer, the length will be w + 6 feet.
The formula for the perimeter (P) of a rectangle is P = 2(length + width). We can plug in our expressions for length and width into this formula:
P = 2(w + 6 + w)
Given that the perimeter is 56 feet, we have:
56 = 2(2w + 6)
Dividing both sides by 2, we get:
28 = 2w + 6
Subtract 6 from both sides:
22 = 2w
Divide both sides by 2:
11 = w
Therefore, the width of the rectangle is 11 feet and the length is w + 6 = 11 + 6 = 17 feet.
Lucy's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lucy
$5.75
per pound, and type B coffee costs
$4.10
per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of
$819.55
. How many pounds of type A coffee were used?
Answer:
I think it is $204.88, but I'm not positive.
Step-by-step explanation:
819.55 divided by 4
An arrow shot into the air is 160t -16^2 feet above the ground t is seconds after it is released. During what period of time is the arrow above 384 feet?
ANY NICE PERSON WANA SOLVE DIS?
3 sqrt 125x^10y^13+^3 sqrt 27x^10y^13
Answer:
Simplify each term.
Rewrite 125x10y13 as (5x3y4)3(xy).
Step-by-step explanation:
5x3y43√xy+3√27x10y13
Rewrite 27x10y13 as (3x3y4)3(xy).
Add 5x3y43√xy and 3x3y43√xy to get 8x3y43√xy.8x3y43√xy
i think.
The required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
[tex]= 3\sqrt{125x^{10}y^{13}}.3\sqrt{27x^{10}y^{13}}[/tex]
Simplifying
[tex]= 9x^{10}y^{13}[\sqrt{125}.\sqrt{27}} ]\\= 9x^{10}y^{13} \times 5\times3\sqrt{5}.\sqrt{3}\\=135x^{10}y^{13}\sqrt{15}[/tex]
Thus, the required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
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Which side lengths form a right triangle?
Choose all answers that apply:
(Answers in picture)
Option (C). 2, 2, √8, forms a right triangle.
Explanation:A right triangle is a triangle that has one angle measuring 90 degrees.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Therefore, to determine if a set of side lengths forms a right triangle, we can check if the sum of the squares of the two shorter sides is equal to the square of the longest side.
Option A: 4, 8, 12Based on the calculations above, only option C, 2, 2, √8, forms a right triangle.
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The correct answer is: C. [tex]\(2, 2, \sqrt{8}\)[/tex]
Step 1
To determine which sets of side lengths form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Step 2
Let's check each option:
A. [tex]\(4, 8, 12\)[/tex]
- [tex]\(4^2 + 8^2 = 16 + 64 = 80\)[/tex]
- [tex]\(12^2 = 144\)[/tex]
- [tex]\(80 \neq 144\)[/tex]
Therefore, option A does not form a right triangle.
Step 3
B.[tex]\(2, 3, \sqrt{5}\)[/tex]
- [tex]\(2^2 + 3^2 = 4 + 9 = 13\)[/tex]
- [tex]\((\sqrt{5})^2 = 5\)[/tex]
- [tex]\(13 \neq 5\)[/tex]
Therefore, option B does not form a right triangle.
Step 3
C. [tex]\(2, 2, \sqrt{8}\)[/tex]
- [tex]\(2^2 + 2^2 = 4 + 4 = 8\)[/tex]
- [tex]\((\sqrt{8})^2 = 8\)[/tex]
- [tex]\(8 = 8\)[/tex]
Therefore, option C forms a right triangle.
Hey please please please please please help have a Struggling with this all day
HELP 64 POINTS
Which data set does this stem-and-leaf plot represent?
{15, 19, 19, 20, 30, 33, 39, 41, 45}
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
{5, 5, 8, 8, 9, 0, 0, 3, 3, 9, 1, 5}
{ 39, 33, 15, 18, 18, 20, 3, 19, 41, 45, 18}
Key: 1|5 means 15
Answer: {30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Step-by-step explanation:
1. The key indicates you how to read the values of the stem-and-leaf plot. Then, 1|5 means 15.
2. Then, the first digit is written in the colum Stem and the second digit in the column Leaf.
3. Based on this information, you can write the data given in the stem-and-leaf plot, as following:
15, 15, 18, 18, 19 (The first digit is 1 and the second digit are: 5,5,8,8 and 9)
20 (The first digit is 2 and the second digit is 0)
30, 33, 33, 39 (The first digit is 3 and the second digit are: 0,3,3 and 9)
41, 45 (The first digit is 4 and the second digit are: 1 and 5)
3. Then, as you can see, the data set represented by the stem-and-leaf plot is:
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Answer:
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
What is the volume of a block of lead with a density of 11.4 grams per cubic centimeter and a mass of 456 grams?
40 cubic cm is the answer
I really need help on this!! God bless you!!
A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?
There is a 3 hour difference in travel time.
So if x is the speed of the freight train and distance is 240 miles...
3(3x)-3x=240
9x-3x=240
6x=240
x=240/6
x= 40mph for the freight train..
passenger train is 3 times faster than the freight..
3×40=120mph
Caitlin had used more thank 2 pounds of clay to make a jar? Would the amount remaining have been more or less than your answer to Exercise 1?
Answer:
more than my Ans
HEEELLLLPPPPP PPPPLLLEAASE I GIVE BRAINLIST!
What is these answer
Greg is running a marathon while running he should drink 22 ounces of water per hour if he runs for 4 hours how much water should he drink
To determine how much water Greg should drink during his 4-hour marathon run, multiply the hourly water intake (22 ounces) by the number of hours (4), resulting in a total of 88 ounces of water.
The student asks about the amount of water Greg should drink while running a marathon for 4 hours, given that he should drink 22 ounces of water per hour. To calculate this, we simply multiply the amount of water he should drink per hour by the number of hours he will be running.
Multiply the amount of water needed per hour (22 ounces) by the total hours running (4 hours).
22 ounces/hour × 4 hours = 88 ounces.
Therefore, Greg should drink 88 ounces of water during his 4-hour marathon run.
Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.
Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. What would be an appropriate unit for Hannah's purpose?
choose 1 answer
A
dollars per gram
B
grams per milliliter
C
liters per kilogram
D
liters per dollar
Please answer This with the Right anawer
The picture below shows a container that Sue uses to freeze water: A cylinder is shown with base diameter of 4 centimeters and the height as 6 centimeters. What is the minimum number of identical containers that Sue would need to make 2,000 cm3 of ice? (Use π = 3.14.) (1 point) 12 18 27 7
Answer:
[tex]27\ containers[/tex]
Step-by-step explanation:
step 1
Find the volume of one container (cylinder) is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter
[tex]h=6\ cm[/tex]
substitute
[tex]V=(3.14)(2^{2})(6)=75.36\ cm^{3}[/tex]
step 2
By proportion
Find the the minimum number of identical containers that Sue would need to make [tex]2,000\ cm^{3}[/tex] of ice
[tex]\frac{1}{75.36}=\frac{x}{2,000}\\ \\x=2,000/75.36\\ \\x= 26.5\ containers[/tex]
Round to the nearest whole number
[tex]26.5=27\ containers[/tex]
Answer: 27
Step-by-step explanation:
Given: The height of the cylindrical container = 6 cm
Diameter of container = 4 cm
Then the radius of the container = [tex]\frac{4}{2}=[/tex]2 cm
Now, the volume of the cylindrical container is given by :-
[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\text{Volume}=(3.14)(2)^2(6)=75.3982236862\approx75.4\ cm^3[/tex]
Now, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is given by:-
[tex]\frac{2000}{75.4}=26.525198939\approx27[/tex]
Hence, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is 27.
Leslie need 48 ounces of charcoal. How many pounds should she buy?
The 48 ounces of charcoal will be equal to 2.5 pounds
What is ounces?The ounce is the name of several different units of mass, weight or volume and is derived almost unchanged from the uncia.
We have 48 ounces of charcoal.
We know the conversion that:
[tex]\rm 1 \ Ounce= 0.0625\ Pounds[/tex]
[tex]\rm 48\ ounce=48\times 0.0625\time \ Pounds=2.5\ pounds[/tex]
So the 48 ounces of charcoal will be equal to 2.5 pounds.
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Which word best describes the numbers 10 and –10?
Opposites
Coordinate
Absolute Value
Expression
perform the translation of triangle ABC according to the vector DR. Find the coordinates of the image.
The angles of a triangle are 28 degrees, 34 degrees, and x degrees. What is the value of x?
The diameter of an ancient chariot wheel is 2 meters. What is the approximate distance the chariot travels if the wheel rotates 120 times? Assume the wheel does not slip.
1,506.4 meters
753.6 meters
376.8 meters
240 meters
The approximate distance the chariot travels is 753.6 meters.
What is the distance the chariot travels?
The distance the chariot travels in one journey is equivalent to the circumference of the wheel.
Circumference of a circle = πD
Distance in 120 trips = πD x 120
3.14 x 2 x 120 = 753.6 meters.
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Zach is filling his dogs bowl with water. Is it reasonable to say that Zach will need about 4 gallons of water?
Theoretical probability is the same thing as experimental probability.
True
False
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ False!
✧･ﾟ: *✧･ﾟ:* Explanation: *:･ﾟ✧*:･ﾟ✧
❗ The answer is false because in Theoretical Probability you can not get the exact answer of what it would land on unless it was rigged because the answer will always be random like the Theoretical Probability may say they lose every time but they get that 1/100 chance and win so they can both be different depending on the vary of luck!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
The sun of 2 and 3 is less than y.
The graph of the function f(x)=3/x+5 is shown below.
What is the vertical asymptote of the function?
A. x = –5
B. x = –3
C. x = 3
D. x = 5
A is the answer
The vertical asymptote of the function f(x) = (3/x) + 5 is A. x = - 5
What are asymptotes?A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar contexts.
By observing the graph we can conclude that the asymptote or more specifically the vertical asymptote of the function f(x) = (3/x) + 5 is at x equals to - 5.
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20 points and Brainliest if answered and explained!
Triangle ABC has the angle measures shown.
m∠A= (2x)°
m∠B= (3x)°
m∠C= (4x)°
Which statement is true about the angles?
A) m∠A= 20°
B) m∠B= 60°
C) ∠A and ∠B are complementary
D) m∠A+m∠C= 100°
Answer: The actual answer to the question is m<A=20° (:
Step-by-step explanation:
Which relationship describes angles 1 and 2?
Select each correct answer.
complementary angles
adjacent angles
supplementary angles
vertical angles
Which expression finds the length of side x in this right triangle
Answer:the top right
Step-by-step explanation:
Wilma bought a skateboard for 20% off. The normal price was 120.90. How much did Wilma pay for the skateboard, not including tax?
1) $96.72
2) $97.82
3) $98.92
4) $99.02