The widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A storage box oftenly has the shape of a right rectangular prism.
We're specified that:
For Kyle's box:
Volume of the box = 12 cubic ftLength of the box = 2 ftHeight of the box = 3 ftWidth of the box = x ft (suppose)For Myla's box:
Volume of the box = 16 cubic ftLength of the box = 4 ftHeight of the box = 2 ftWidth of the box = y ft (suppose)Using the formula for volume of right rectangular prism to find the missing widths:
Case 1: For Kyle's box:[tex]12 = 2 \times 3 \times x\\12 = 6 \times x\\\text{Dividing both the sides by 6}\\2= x\\x = 2 \: \rm ft[/tex]
Case 2: For Myla's box:[tex]16 = 4 \times 2 \times y\\16 = 8 \times x\\\text{Dividing both the sides by 8}\\2= y\\y = 2 \: \rm ft[/tex]
Thus, the widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft
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Mr. Goldsman runs on the elliptical for 12 minutes for every 5 minutes that Kirby runs (he's not as athletic as Mr. Goldsman). If Mr. Goldsman runs for one and a half hours, how long did Kirby run?
Hint: Make sure all of your times are in minutes!!!!
If Mr. Goldsman runs for one and a half hours, Kirby runs for 37 minutes 30 seconds.
How many minutes did Kirby run for?The first step is to determine how many minutes kirby would run for every minute Mr Goldsman runs
Rate = 5/12
The second step is to multiply the rate by the minutes run by Mr Goldsman.
5/12 x 90 = 37.5
= 37 minutes 30 seconds
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find the distance between the follwing points: (-4,11), (3,5)
Answer:
43
Step-by-step explanation:
equation= sqrt (x2-x1)^2 + (y2-y1)^2
Find the solution of the system of equations.
- 3x + 4y = 12
2.x + 2y = -22
Answer:
x = -8
y = -3
Step-by-step explanation:
So first you're going to want to get x or y by itself using elimination or substitution. I used elimination to get x by itself.
You can multiply the second equation (2x + 2y = -22) by -2 so you can eliminate the y's. When you multiply it, you get -4x - 4y = 44
Then, you can add -3x + 4y = 12 and -4x - 4y = 44. The y's cancel out to leave -7x = 56. Divide both sides by -7 to get x = -8.
Now, you can plug in -8 for x in either one of the equations. I plugged it into the second equation to make it 2(-8) + 2y = -22.
2 · -8 = -16.
-16 + 2y = -22. Add 16 to both sides to get 2y = -6. Divide both sides by to get y = -3.
Hope this helps! :)
a tether ball is tied to a rope and can rotate 230 degrees. If the rope has a radius of 6 ft, find the actual length the ball can travel in one rotation of 230 degrees
The actual length the ball can travel in one rotation of 230 degrees is approximately 24.06 feet.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
We are given that;
The angle= 230 degrees
Radius of rope= 6ft
Now,
If the tether ball is tied to a rope with a radius of 6 ft and can rotate 230 degrees, then the length of the rope that the ball travels in one rotation can be found using the formula for the circumference of a circle, which is:
C = 2πr
where C is the circumference of the circle, r is the radius of the circle, and π is the mathematical constant pi (approximately equal to 3.14).
To find the length the ball can travel in one rotation of 230 degrees, we first need to convert 230 degrees to radians by multiplying it by π/180.
230 degrees * π/180 ≈ 4.01 radians
Now we can calculate the length of the rope that the ball travels in one rotation of 230 degrees using the formula:
L = rθ
where L is the length of the rope traveled by the ball, r is the radius of the circle (the length of the rope), and θ is the angle traveled in radians.
L = 6 ft * 4.01 radians
L = 24.06 ft
Therefore, by the given angle the answer will be approximately 24.06 feet.
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Solve each system by substitution. Show all work.
y = -3x
y= x-4
since y = - 3x and y = x - 4
we have
- 3x = x - 4
4x = 4
x = 1
and then y = - 3 * 1 = - 3
(1 ; - 3)
Answer:
(1,-3)
Step-by-step explanation:
y = -3x
y= x-4
Substitute -3x for y in the second equation
-3x = x-4
Subtract x from each side
-3x-x = x-4-x
-4x = -4
Divide each side by -4
-4x/-4 = -4/-4
x=1
Now we can find y
y = x-4
y = 1-4
y= -3
(1,-3)
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tr2
2
=
11 in.) Area = [?] inches?
Answer:
379.94
Step-by-step explanation:
A = πr²
A = 3.14(11 in.)²
A = 3.14(121 in²)
A = 379.94 in.²
3.
Which expression is equivalent to -0.4(10.2x - 15 +2.2x)
a. -4.96x + 6
b. -4.96x - 6
C.-4.96x - 6.4
d. -4.96x + 6.4
Answer: -4.96x + 6
Step-by-step explanation:
In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.
-0.4 (10.2x-15+2.2x)
= - 4.08x +6 -0.88x
Now that you have this problem, combined like terms. What are the like terms in this problem?
The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.
-4.08x -0.88x +6
= -4.96x +6
This would be your final answer because nothing further can be done at this point.
hope this helps!
can someone help me answer this
Answer:
sum the numbers of favorite food together.
pizza- 58.
hamburger- 36.
pasta- 14.
others- 17.
Addition of the favorite food will give us .
58+36+14+17=125.
pizza ..58/125 × 100 =46.4
help please? requestig help to a smart person?
[tex] \frac{150}{10} = \frac{300}{20} = \frac{450}{30} = \frac{600}{40} = 15[/tex]
[tex]for \: x = 15y[/tex]
[tex]50x = 50(15) = 750.00[/tex]
Option B :)What is the slope of the line that passes through the points (2,8) and (12,20)?
Write your answer in simplest form.
The slope of the required line is [tex]\frac{6}{5}[/tex].
Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .
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Please help me my teacher hasn't been helping me I really need your help
Answer:
550.5323531336038
Step-by-step explanation:
I have a hint: if you ever need help with triangle trigonometry questions go to carbside depot trigonometry calculator it is a literal life savor
PLS HELP
WILL GIVE BRAINLIEST
answer:
(-7; -5)
step by step
What is the value of x in the figure at the right?
Answer:
x=11
Step-by-step explanation:
It seems that the two angles are supplementary. Soo they add up to 180
Thus,
15+15x=180
Solve for x...
15x=165
x=11
Hope this helps!!!
Find the area of the figure below.
16 in
19 in
30 in
19.4 in
Answer:
392 square inches
Step-by-step explanation:
To solve this we need to look at this quadrilateral as two shapes that share a side - a triangle and a rectangle.
You can see in the attatchment how I have drawn a dotted line indicating where they share a side.
From here we find the area of each shape seperately and add those areas together!
Rectangle:
Looking at the rectangle portion we can see that the width is 16 in and the length is 19 inches. Don't be fooled by the long 30 inch side. Remember, we are only looking at the portion that makes up the rectangle.
A = l*w = 16*19 = 304 inches squared
Triangle:
To find the area of the triangle, we use the formula A = (b*h)/2 where b = the length of the base and h = the height.
We can see in this attatched drawing that the height of the triangle is the same length as the width of the rectangle which is 16 inches.
To find the base, you can do one of two things.
1) use the pythagorian theorem (A^2 + B^2 = C^2) to solve for the missing side of the right triangle, where A is 16 inches, B is unknown and C is 19.4 inches.
2) *easier* using the information given, we can see that the longest side of this shape is 30 inches and is made up of the length of the rectangle (19 inches) and the base of the triangle (which is unkown - we can call it x)
Given that we know the total length and the length of the portion that belongs to the rectangle, we can say x = 30-19 = 11. Therefore the base of the rectangle is 11 inches.
From here we use b*h/2
11*16/2 = 88 = area of the triangle in square inches.
Now for the easy part - add up the areas for the total!
Area (rectangle) + Area (triangle) = Area (total)
304 + 88 = 392 square inches
The area of the rectangle is 49 square units.
The area of triangle 1 is 7 square units.
The area of triangle 2 is 14 square units.
What is the area of the polygon?
Answer:
[tex]\boxed{70 \ \text{units}^{2}}[/tex]
Step-by-step explanation:
I assume that the polygon is made up of a rectangle and two triangles. Thus, the area of the polygon is the area of the triangles and the rectangle.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
[tex]\text{Area of polygon} = \text{Area of rectangle} + \text{Area of triangle}_{1} } + \text{Area of triangle}_{2}[/tex]
➡ [tex]\text{Area of polygon}= 49 + 7 + 14[/tex]
➡ [tex]{\bold{Area \ of\ polygon = 49 + 21 = \underline{70 \ units}^{2}}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
What is equilibrium, from an economic perspective? a. the theoretical price point at which demand equals supply b. a state of "all other things being equal" c. a condition in which no buying or selling is occurring d. an economy functioning without outside intervention
Answer:
A theoretical price point at which demand being equal
The theoretical price point at which demand equals supply is the correct answer.
What is equilibrium?Equilibrium is a state of balance or condition of stableness.
In economics, equilibrium is also the same, it is a condition in which prices become stable by the balance of market supply and demand.
It is a situation in which conditions cannot be changed by any economic agent strategy.
There are some properties of equilibrium
1. Consistency in the behavior of agents.
2. No economic agent has an incentive to change the behavior.
3. Equilibrium is the outcome of a few dynamic processes.
Therefore, the theoretical price point at which demand equals supply is the correct answer.
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Find the length of the missing side of the right triangle. (Don't put units in your answer.)
The missing side is the opposite or the adjacent of the right triangle
The length of the missing side is 9.9
How to determine the length of the missing side?To calculate the length of the missing side, we make use of the following Pythagoras theorem.
16.5^2 = 13.2^2 +a^2
Evaluate the exponents
272.25 = 174.24 +a^2
Collect like terms
a^2 = 272.25 - 174.24
Evaluate the like terms
a^2 = 98.01
Take the square roots of both sides
a = 9.9
Hence, the length of the missing side is 9.9
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Complete Steps 1 - 2 in order. Triangle ABC has an area of 25 square feet and a perimeter of 5 65.5 feet. AABC is dilated by a factor of to create 2 ADEE. X 10.
Answer:
163.75
Step-by-step explanation:
a scale factor applies normally to lengths (one-dimensional sizes).
and the perimeter is calculated just by lengths (the side lengths).
so, we can apply the scaling factor directly to the perimeter.
perimeter of DEF = 5/2 × perimeter of ABC = 5/2 × 65.5 =
= 163.75 ft
what was step 1 ? we did not need it ?
I need help with this math question, please.
Sandra decides to alter the design of the rectangular lunch box so that one dimension of the bottom of the box is 1.25 times the height of the box, as shown in the diagram below. She still wants the volume of the box to be 355 in.^3. Write an equation in terms of W
The volume of the rectangular lunch box is the amount of space in it
The volume in terms of W is LW^2 = 443.75
How to determine the volume expression?The volume is given as:
V = 355
Let the width of the box be W, and the height be H; such that:
W = 1.25H
Make H the subject
H = W/1.25
The volume is calculated as:
V = LWH
So, we have:
355 = L * W * W/1.25
Multiply through by 1.25
443.75 = L * W * W
This gives
443.75 = LW^2
Rewrite as:
LW^2 = 443.75
The diagram is not given. So, the question cannot be solved further
Hence, the volume in terms of W is LW^2 = 443.75
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What points should I circle and in which point do they intersect?
I WILL MARK BRAINLIEST AND GIVE THANKS
Answer:
[tex]\displaystyle [3, -2][/tex]
Explanation:
All you do is substitute three in for [tex]\displaystyle x[/tex]to get the y-coordinate of [tex]\displaystyle -2.[/tex]This means that these equations meet at the ordered pair of [tex]\displaystyle [3, -2].[/tex]
I am joyous to assist you at any time.
What is the area of the given quadrilateral?
Answer:
20 square units
Step-by-step explanation:
as its a square, we just add all the sides together. like a+b+c+d..
5+5+5+5=20 units
I need answer this question
Answer:
5/12
is the correct answer
see my question and come there now females
Step-by-step explanation:
Goal: illustrates radius, diameter, chord, center, arc, central angle, and
inscribed angle.
Role: Garden Designer/Landscape Architect
Audience: Math Teacher
Situation: A certified plantita and backyard owner plans to have a unique
garden. As a Landscape Architect, you are asked to make a sample layout of
a circular garden. She asks you to include the following on her garden:
● well
● pond
● bridge
● fountain
● walkways
● benches or chairs
● entrance and exit gates.
● trees, ornamental plants, and herbs
Procedure:
1. Draw a circle.
2. Conceptualize a circular garden and layout using the specified
items mentioned above.
What I Can Do
9
DISCIPLINE • GOOD TASTE • EXCELLENCE
3. Label the parts of circle formed on the garden layout
Please I'm looking for a serious answer. I need to pass this on monday. Thank you.
f(x)
-6
Which is a possible turning point for the continuous
function f(x)?
-4
Х
-4
-3
-2
-1
0
1
2
ООО
(-3, 4)
O (-2,-1)
(0, -5)
(1, -8)
-1
-2
-5
-8
-16
Answer:
-5
Step-by-step explanation:
because 6-1=-5 therefore the is -5
The possible turning point for the continuous function f(x) is (-2, -1)
What is the turning point of a function?A stationary point is called a turning point if the derivative changes sign (from positive to negative, or vice versa) at that point.
There are two types of turning point:
A local maximum, the largest value of the function in the local region. A local minimum, the smallest value of the function in the local region.
Given are the coordinates of a function,
We need to find the turning point of the same,
Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.
Hence, the possible turning point for the continuous function f(x) is (-2, -1)
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The complete question is attached
help me please!!!!!!!!!
Answer:
A = 5
I hope you have an amazing day!
a rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?
Answer:
191
Step-by-step explanation:
do the frame with the pic first that is
28*24=672
next just the pic
24*20=480
next subtract the pic from the frame
672-480=191
Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
The ordered pair (–3, 7) is viable.
The ordered pair (0, 4) is viable.
The ordered pair (7, 0) is non-viable.
The ordered pair (12, 3) is viable.
Answer:
D
Step-by-step explanation:
X must be positive as you cannot have a negative amount of people and neither X and Y could be 0. (In this case (7, 0) could have been viable but the choice says non-viable.) This means the answer is (12,3).
The ordered pair (12, 3) is viable is correct answer.
What is ordered pair?"Ordered pair is defined as the two numbers or variables which is written in form of pair using parenthesis."
According to the question,
Number of visitors = x
Number of winners = y
Relationship given,
Number of visitors and hole in one winners.
Negative value cannot be part of number of visitors or winners.
Therefore,
(-3,7) is not the correct ordered pair.
'x' and 'y' value cannot be equals to zero as per the condition given.
(7,0) is non viable.
Therefore,
(0,4) and (7,0) is not the correct ordered pair.
(12,3) represent both positive value as per the condition.
Hence, the ordered pair (12, 3) is viable is correct answer.
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can some one answer this question please show work
When you reflect across the Y axis, the Y value remains the same and the x value becomes opposite.
Answer: (5,-3)
-
nd
According to the line of best fit, about how many words
will Jean have typed when she completes 60 minutes of
typing?
0 2,500
o 2,750
3,000
O
3,250
Answer:
C. 3000
Step-by-step explanation:
i took the quiz!
also 60 and 3000 line up
Answer:
C 3,000
Step-by-step explanation: It's right on Edge
120 - 4.5x = 45 + 0.5x
Answer:
x = 15
Step-by-step explanation:
You're trying to solve for x by doing two-step equations.
120- 4.5x = 45 + 0.5x
Add 4.5x to both sides and subtract 45 to both sides.
**Note I did 2 things at once to make it easier to look at.
120-45 = 4.5x + 0.5x
75 = 5x
Now divide 75 by 5
x = 15
Eif=3:7
f: g=2:3
Work out
eig
Give your answer in its simplest form
The relationship between e, f and g is an illustration of ratio
The ratio e : g is 2 : 7
How to determine e : g?The given parameters are:
e : f = 3 : 7
f : g = 2 : 3
Multiply e : f by 2.
So, we have:
e : f = 6 : 14
Multiply f : g by 7.
So, we have:
f : g = 14 : 21
Merge both ratios
e : f : f : g = 6 : 14 : 14 : 21
Remove repetition
e : f : g = 6 : 14 : 21
Remove f
e : g = 6 : 21
Divide by 3
e : g = 2 : 7
Hence, the ratio e : g is 2 : 7
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