Answer:
length= 42, width=12, depth=8Step-by-step explenation:
The smaller dimension of the pool is 8 ft and the larger dimension is 36 ft
The length of the rectangle = 8 feet
The width of the rectangle = 36 feet
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
The volume of the rectangle is V = 2304 feet³
Let the length of the rectangle be = A
One side of the pool is 4.5 times longer than the other
So , the width of the rectangle be = 4.5A
Now , on simplifying the equation , we get
Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle = 8 x A x 4.5A
36A² = 2304
Divide by 36 on both sides of the equation , we get
A² = 64
Taking square roots on both sides of the equation , we get
A = 8 feet
Therefore , the width of the rectangle = 4.5 A = 36 feet
Hence , the dimensions of the rectangle is 8 x 36 x 8
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What is this math question? Yesterday Nathan rode his bike 39 kilometers in 3 hours. Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.
Answer:
Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday
Step-by-step explanation:
Yesterday Nathan rode his bike 39 kilometers in 3 hours.
Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.
Speed /rate =>Distance(km)/ Time(hr)
For yesterday
Speed = 39km/3 hour
Speed = 13 km/hr
For Today
Convert time in minutes to hour
60 minutes = 1 hour
30 minutes = x hour
= 30/60
= 0.5 hour
Speed=> 8km/ 0.5 hour
=16 km/hr
Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday
the blue segment below (7.4) is a diameter of O. what is the length of the radius of the circle. A. 3.7 B. 14.8 C. 11.1 D. 7.4
Answer:D
Step-by-step explanation:
Not 100%
The radius of the circle is 3.7 units , Option A is the correct answer.
What is a Circle ?A circle is a round shaped figure , all the points of a plane lie in same plane and the distance between the center of the circle and all the point s oin the circumference is equal.
It is given in the figure that the diameter of the circle is 7.4 units
Then Radius = ?
Radius = Diameter / 2
Radius = 7.4 /2 = 3.7 units
Therefore the radius of the circle is 3.7 units , Option A is the correct answer.
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17. You roll two dice. How many ways can you roll a sum greater than 7 or a doubles?
Answer:
brainliest?
Step-by-step explanation:
all you need is in the photo
Answer:
One solution,0,-2
Step-by-step explanation:
The point where they intersect is 0,2. That is the answer.
Hope this helps plz mark brainliest if correct :D
Answer:
It's one solution, (0, -2)
Step-by-step explanation:
Look at where the lines intersect at the point. Its negative 2y or 0x. Hope this helps! have a great day
I put a picture hopefully you can see it
Answer:
i think it might be the first or third one
Step-by-step explanation:
PLEASE HELP ITS URGENT!
Answer:
which one 3 or 4. please tell me
Is this function linear or nonlinear?
y=3x−5
nonlinear
linear
Answer:
linear
Step-by-step explanation:
Answer:
It is linear.
Step-by-step explanation:
3/4x + 11 - 5 1/2 + 1/4x
[tex] \frac{3}{4} x + 11 - 5 \frac{1}{2} + \frac{1}{4} x[/tex]
[tex]( \frac{3}{4} x + \frac{1}{4} x) + (11 - 5 \frac{1}{2} )[/tex]
[tex] (\frac{3x}{4} + \frac{x}{4} ) + (11 + - \frac{11}{2} )[/tex]
[tex]( \frac{(3x + x)}{4} ) + ( \frac{22}{2} - \frac{11}{2} )[/tex]
[tex] \ \frac{4x}{4} + \frac{11}{2} [/tex]
[tex]x + \frac{11}{2} [/tex]
what is the answer for -4 (12)=
what is the answer
Answer:
-48
Step-by-step explanation:
12 x 4= 48 just add negative sign to 48.
Hope this helps :3
Answer:
-4(12) = -48
Step-by-step explanation:
Negative stay negative and 4 multiply by 12 is 48 from the multiplication table, therefore -4 multiply by 12 is -48.
Evaluate the function f(x) = -3x when x = -1
all you need is in the photo
Answer:
It is a one solution answer with the point of intersection being (1,0)
You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. What is the width of the frame?
Answer: 3.2 inches
Step-by-step explanation:
how YOU LIKE ME NOW !
Answer:
im confusedddddddd.................
यूदि एक वृत्त का परिमाप और क्षेत्रफल बरावर हो
तो उसकी त्रिज्या क्या होगी?
Answer:
I Can't understand your language !!!!!
Step-by-step explanation:
Please ask it in English Lol !!!!
Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector.
v = (21, 20)
Answer:
a. v.v' = v₁v₂ - v₁v₂ = 0 b. (20, -21)/29 and (-20,21)/29
Step-by-step explanation:
a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.
Given v = (v₁, v₂) = v₁i + v₂j and v' = (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0
So, v.v' = (v₁i + v₂j).(v₂i - v₁j)
= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)
= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j
i.i = 1, i.j = 0, j.i = 0 and j.j = 1
So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j
= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1
= v₁v₂ - v₂v₁
= v₁v₂ - v₁v₂ = 0
So, v.v' = 0
b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).
So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.
A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29
Say you have a triangular piece of paper. If you rip off the corners of this triangle and put them together, what shape does it make?
A student solved the problem below by first dividing 20 by 10. What mistake did the student make?
A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?
Answer:
The student should have added 20 + 10 = 30 and then divide 30 by 3 to get 10 = 1/3 of 30 so the team won 2/3 or 66.6667%.
Step-by-step explanation:
For 4-6, determine whether the three numbers could be the lengths of the sides of a
triangle.
4. 4, 8, 11
5. 6, 12,5
6. 13, 13, 26
Answer:
4. 4, 8, 11 could be the lengths of the sides of a triangle
5. 6, 12, 5 could not be the lengths of the sides of a triangle
6. 13, 13, 26 could not be the lengths of the sides of a triangle
Step-by-step explanation:
There is an important rule about the sides of the triangle
The sum of lengths of the smallest two sides of a triangle must be greater than the length of the third sideLet us use this rule to solve questions 4, 5, and 6
#4.
∵ The numbers are 4, 8, 11
∵ The two smallest numbers are 4, 8
∵ Their sum = 4 + 8 = 12
∵ The greatest number is 11
∵ 12 > 11
∴ The sum of the two smallest number is greater than the third number
∴ The numbers could be the length of the sides of a triangle
∴ 4, 8, 11 could be the lengths of the sides of a triangle
#5.
∵ The numbers are 6, 12, 5
∵ The two smallest numbers are 5, 6
∵ Their sum = 5 + 6 = 11
∵ The greatest number is 12
∵ 11 < 12
∴ The sum of the two smallest number is smaller than the third number
∴ The numbers could not be the length of the sides of a triangle
∴ 6, 12, 5 could not be the lengths of the sides of a triangle
#6.
∵ The numbers are 13, 13, 26
∵ The two smallest numbers are 13, 13
∵ Their sum = 13 + 13 = 26
∵ The greatest number is 26
∵ 26 = 26
∴ The sum of the two smallest number is equal to the third number
∴ The numbers could not be the length of the sides of a triangle
∴ 13, 13, 26 could not be the lengths of the sides of a triangle
A submarine was at 30 feet below sea level. It sinks down 8 more feet. How many feet below sea level is the submarine?
Answer:
38 is the answer
I'm adding this extra part because I need it to be 20 letters long
Using addition, the submarine is 38 feet below sea level.
What is addition?The addition is "taking two or more numbers and adding them together, or it is the total sum of two or more numbers".
According to the question,
A submarine was at 30 feet below sea level. The submarine sinks 8 more feet. In order to find, number of feet below sea level the submarine only if we add 30 feet and 8 feet.
= 30 + 8 = 38 feet.
Hence, using addition the submarine is 38 feet below sea level.
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Five boxs of crackers cost $9 st this rate how much do 20 boxes cost
$900
..why do I need 20 letters-
Answer:
20 boxes of crackers would cost 36 dollars
Step-by-step explanation:
Since 5 boxes is 9 dollars
And there are 20 boxes
You divide 20 boxes by 5 and you should get 4
Then with the 4 you multiply that with $9
36 dollars
Hope this helped you!
a recipe for trail mix calls for 50 grams of almonds for every 2 cups of oats. the line represents the relationship between the amount of almonds and the amount of oats needed to make trail mix according to this recipe. the point (1, 25) is on theine. what is the equation for this line? use the format y=kx
Answer:
The equation is: y=25x
Step-by-step explanation:
Linear Modeling
When two variables have a linear dependency, the relationship between them can be written as:
y=kx+b
Where k is the slope and b is the y-intercept. When b=0, then the relationship is called proportional, and the equation is:
y=k.x
For the question, we call y=grams of almond and x=cups of oats.
It's given for x=cups of oats, the recipe for trail mix calls for y=50 grams of almonds. Substituting into the equation:
50=k.2
Solving for k:
k=50/2=25
The final equation is:
y=25x
Note the point (1,25) is on the line, as required.
A researcher believes that working out in colder temperatures will burn more calories because a person has to burn more calories to keep warm. The researcher decides to study various groups of people working out at different temperatures and measure their progress. How would you describe the temperature in the study?
A Observational
B Experimental
C Census
D Simulation
Answer:
B. Experimental
Step-by-step explanation:
The only way to properly study this would be by using an experimental study. The researcher would need to create different groups and place them in different temperature conditions but keeping all of the other variables in the study the same while they exercise. Then gather as much data as possible including weight, calorie consumption, body temperature, etc. Finally, analyze the data and come to a conclusion. The other types of studies will not allow the researcher to gather the necessary data to come to a proper conclusion.
What is the solution to
6(2 - x)<-4x + 2?
Answer:
Solving [tex]6(2 - x)<-4x + 2[/tex] we get [tex]\mathbf{x>5}[/tex]
Step-by-step explanation:
We need to find solution of [tex]6(2 - x)<-4x + 2[/tex]
Solving the inequality:
[tex]6(2 - x)<-4x + 2[/tex]
Multiply 6 with terms inside the bracket
[tex]12-6x<-4x+2[/tex]
Subtracting 12 on both sides
[tex]12-6x-12<-4x+2-12\\-6x<-4x-10[/tex]
Adding 4x on both sides
[tex]-6x+4x<-4x-10+4x\\-2x<-10[/tex]
Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >
[tex]\frac{-2x}{-2}>\frac{-10}{-2}\\\mathbf{x>5}[/tex]
So, after solving [tex]6(2 - x)<-4x + 2[/tex] we get [tex]\mathbf{x>5}[/tex]
Here is a list of numbers:
2.5, 2.8, 8.4, 1.1, 7.7, 6.3, 2.4 ,0.7 ,0.8 ,0.5
State the median.
2.4
The median is the middle number.
1. Put the numbers in order from smalllest to greatest
2. Pick the middle number
hi anyone can help me ??
Answer:
Step-by-step explanation:
a) The name of the figure is a pentagon.
b) You need to find <HBA. Before you can do that, you need to get the interor angle of 43 and 104
EAF = 180 - 43
EAF = 137
HCD = 180 - 52 = 128
CDE = 180 - 104
CDE = 76
Now you can get <HBA = 540 - 76 - 137 - 90 - 128 = 540 - 431 = 109
x = 180 - 109 = 71
Which of the following transformations could have been used to map Figure A onto Figure B?
To map figure A onto figure B translation and dilation is used. The correct option is B.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
The process of changing the location of the image on the coordinate system will be known as the translation.
In the given image figure A is a parallelogram its size is increased or dilated and the figure is translated to the new location by using the translation.
Therefore, to map figure A onto figure B translation and dilation is used. The correct option is B.
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Jane is cooking in her recipe indicates that she should add several spices she needs to add 1/2 of a teaspoon of salt, 1 1/4 teaspoons of Orégano 3/4 of a teaspoon of basil in half as much pepper as salt. What is the total number of teaspoons of spices in the dish express the answer as a decimal
Answer: total number of teaspoons of spices in the dish =3.25 teaspoons
Step-by-step explanation:
Step 1
Listing the spices and their quantities , we have
Salt = 1/2 teaspoon
Orégano =1 1/4 teaspoon =5/4 teaspoons
Basil = 3/4 teaspoon
Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be 50% more in quantity than salt
Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25
0.25 + 1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.
Step 2
Adding the amount of spices we have
1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices = 3.25 teaspoons of spices .
-----------> Comment your Epic Games Name or Nintendo Switch friend code here so I can add you on Rocket Leauge!(Answer if your plat 3 or above in doubles)<-------------------
Answer:
daddys_angel_yt
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ricardoconsort14 and RicardoOrtVill
16-2t=3/2t+9
Solve for t
Answer:
t=2
Step-by-step explanation:
16-2t=3/2t+9
you multiply everything with 2
32-4t = 3t+18
4t-3t=18-32
-7t=-14
t=2
Step 1: Minus the 16 from the 9
Step2: Multiply the 2t wirh the -2t.
Step 3: Divide -4 by -4
A refrigerator costs $599. If the tax is 7.5%, the additional amount of money necessary to purchase the refrigerator is
$4.52
$44.93
$75.00
Answer:
44.93
Step-by-step explanation:
7.5 x 599 divided by 100 = 44.925 = 44.93
