Answer:
i, 1.875 ft
ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.
Step-by-step explanation:
i. How deep will the water be if the box is resting on its largest face?
Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.
V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³
This is also the volume of the water when it is resting on its largest face.
Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face
So, h' = V/A'
= 75 ft³/ (8 ft × 5 ft)
= 15/8 ft
= 1.875 ft
ii, Explain your reasoning.
Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.
Find the co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1. *
a) (1, 1)
b) (0, 0)
c) (1, 2)
d) (2, 2)
The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1 is , (0,0)
What is a line?The equation of a line is a relationship between x and y coordinates.
Section formula for a point which divides line joining points into m:n ratio,
(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }
Given points,
(-3, 9) and (1, -3)
m:n = 3:1
(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )
(X,Y) = (0,0)
Hence, the points will be, (0,0)
To know more about Line check:
https://brainly.com/question/17188072
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A mechanic began pouring a full can of motor oil into a funnel. The can of motor oil has a radius of 2.5 inches and a
height of 6 inches. The funnel has a radius of 3 inches and a height of 5.5 inches. If the hole on the bottom of the
funnel is plugged so that the funnel is not able to drain, what percentage of the oil would remain in the can after the
funnel is completely filled?
How much material is needed to make the Nón Lá Vietnamese leaf hat? Round to the nearest tenth.
The surface area is
in.²
9514 1404 393
Answer:
408.4 in²
Step-by-step explanation:
The lateral area of a cone is ...
LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height
Using the given dimensions, the area of the hat is ...
LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²
The surface area is about 408.4 in².
4. Explain what an imaginary number is and its relationship to complex numbers. Then give
an example of where complex numbers occur naturally in mathematics.
Answer:
564643
Step-by-step explanation:
Answer:
In the real number system, there is no solution to the equation x^2=-1x
2
=−1x, squared, equals, minus, 1. In this lesson, we will study a new number system in which the equation does have a solution.
The backbone of this new number system is the number iii, also known as the imaginary unit.
i^2=-1i
2
=−1i, squared, equals, minus, 1
\sqrt{-1}=i
−1
=isquare root of, minus, 1, end square root, equals, i
By taking multiples of this imaginary unit, we can create infinitely many more new numbers, like 3i3i3, i, i\sqrt{5}i
5
i, square root of, 5, end square root, and -12i−12iminus, 12, i. These are examples of imaginary numbers.
However, we can go even further than that and add real numbers and imaginary numbers, for example 2+7i2+7i2, plus, 7, i and 3-\sqrt{2}i3−
2
i3, minus, square root of, 2, end square root, i. These combinations are called complex numbers.
Defining complex numbers
A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i, where iii is the imaginary unit and \greenD{a}astart color #1fab54, a, end color #1fab54 and \blueD{b}bstart color #11accd, b, end color #11accd are real numbers.
\begin{array}{ccc} \Large\greenD a&\Large+&\Large \blueD bi \\ \uparrow&&\uparrow\phantom{i} \\ \text{Real}&&\text{Imaginary} \\ \text{part}&&\text{part} \end{array}
a
↑
Real
part
+
bi
↑i
Imaginary
part
\greenD aastart color #1fab54, a, end color #1fab54 is called the \greenD{\text{real}}realstart color #1fab54, start text, r, e, a, l, end text, end color #1fab54 part of the number, and \blueD bbstart color #11accd, b, end color #11accd is called the \blueD{\text{imaginary}}imaginarystart color #11accd, start text, i, m, a, g, i, n, a, r, y, end text, end color #11accd part of the number.
The table below shows examples of complex numbers, with the real and imaginary parts identified. Some people find it easier to identify the real and imaginary parts if the number is written in standard form.
Complex Number Standard Form \greenD a+\blueD b ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i Description of parts
7i-27i−27, i, minus, 2 \greenD {-2}+\blueD 7i−2+7istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 7, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 77start color #11accd, 7, end color #11accd.
4-3i4−3i4, minus, 3, i \greenD 4 + (\blueD{-3})i4+(−3)istart color #1fab54, 4, end color #1fab54, plus, left parenthesis, start color #11accd, minus, 3, end color #11accd, right parenthesis, i The real part is \greenD{4}4start color #1fab54, 4, end color #1fab54 and the imaginary part is \blueD{-3}−3start color #11accd, minus, 3, end color #11accd
9i9i9, i \greenD 0+\blueD9i0+9istart color #1fab54, 0, end color #1fab54, plus, start color #11accd, 9, end color #11accd, i The real part is \greenD{0}0start color #1fab54, 0, end color #1fab54 and the imaginary part is \blueD 99start color #11accd, 9, end color #11accd
-2−2minus, 2 \greenD {-2}+\blueD0i−2+0istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 0, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 00start color #11accd, 0, end color #11accd
Step-by-step explanation:
plz brian list and allways happy to help.
Need help thanks :)
Answer:
Answer 1= 2 square
Answer 2= 33
What’s 2-4 plz helppppp
Answer:
2.A 3.D 4.A
Step-by-step explanation:
You may want to check number four because I'm not sure. Radius is any length from the center of the circle to the edge of the circle. A sector is a piece of a circle, like a cut slice of pie or a slice of pizza.
Answer:
2. A
3. B
4. A
Step-by-step explanation:
what is 20% of 90???
Answer:
answer :
18
Step-by-step explanation:
use calculator it's easy to solve
Answer:
18
Step-by-step explanation:
20% of 90 = (20/100 )* 90
= 1/5 * 90
= 18
When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?
Answer:
When the coefficient of the variable is negative, as shown below,
Step-by-step explanation:
2-4y>14
-4y>14-2
-4y>12, divde through by - 4
y>-3
Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50. She has $250 to spend on a membership at the fitness club. Which equation represents the situation? If m is the number of months.
55 + 19.50m = 250
55m -19.50 = 250
55 - 19.50m = 250
55m +19.50 = 250
Help plz
Answer:
1st option: 55 + 19.50m = 250
Step-by-step explanation:
Ellie want to buy new shoes that is in sale for $80. She saved $60. How much more money does she need
Answer:
$20
Step-by-step explanation:
New shoes = $80
What Ellie Saved = $60
80 - 60 = 20
To make sure this is correct simply add 20 to 60.
60 + 20 = 80
Help plz
6(2x - 11) + 15 = 3x + 12
Answer:
x = 7
Step-by-step explanation:
Lets do the brackets first,
6 × 2x = 12
6 × -11 = -66
------
Calculate the x constant:
12x - 3x = 9x
-------
Then the ones with no x:
-66 + 15 = -51
51 + 12 = 63
-------
Lastly, divide
63 ÷ 9 = 7
-------
Have a good day :)
Many artists incorporate geometric shapes into their art. An artist wants to make a sculpture shaped like a cone with a height of 4.2 inches and a radius of 2.5 inches. The artist needs to know the volume of the sculpture to purchase the correct amount of materials.
Part A. Which equation shows the art is used to calculate the volume of a cone with the given measurements
Part B. What is the volume,in cubic inches,of the cone? Use 3.14 for pie and round your answer to the nearest tenth
Answer:D
Step-by-step explanation:
It’s D
can someone help plz
Answer: -1.13
Step-by-step explanation: I counted from -1.1 to -1.15
Help me please again lol
Option B is your answer
✄--------------
[tex]Min=2[/tex]
[tex]Q1=4[/tex]
[tex]Median=6[/tex]
[tex]Q3=8[/tex]
[tex]Maximum=11[/tex]
❆❆❆❆❆❆❆❆❆❆❆hope it helps..have a great day!!HELP DUE SOON!
x = ??
Answer:
x=11
Step-by-step explanation:
Your equation is:
35 = 14x+1-85/2
70=14x-84
154=14x
11=x
Answer:
x = 11Step-by-step explanation:
Angle between tangent and secant is half the difference of intercepted arcs:
(14x + 1 - 85)/2 = 3514x - 84 = 7014x = 154x = 154/14x = 11Help please!please ASAP
Answer:
y = 3x + 1
Step-by-step explanation:
The equation of a line is y= 4x - 1 and the point (3, p) lies on this line. Determine the value of P
Answer: 11
Step-by-step explanation:
Given
The equation of the line [tex]y=4x-1[/tex] passes through the point [tex](3,p)[/tex]
So, point must satisfies the line i.e.
[tex]\Rightarrow p=4(3)-1\\\Rightarrow p=12-1\\\Rightarrow p=11[/tex]
Therefore, the value of p is 11.
Help please I don’t understand
Answer: 2/3
Step-by-step explanation:
there are 24 pets total (count all of the dots on the plot)
16 students have 2 or more pets (count the dots from point 2 until 6)
your fraction is 16/24
16/24 is 2/3 simplified
hope this helps
Find measure angle GJK (5x + 8) (7x - 16)
Hi there!
[tex]\large\boxed{22^o}[/tex]
Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.
Using the Alternate Interior Angle theorem:
m∠HJI = m∠JHG, so:
7x - 16 = 5x + 8
Solve for x:
2x - 16 = 8
2x = 24
x = 12
Substitute in this value of x to solve for m∠HJI:
7(12) - 16 = 84 - 16 = 68°
Thus:
m∠GJH = 90 - 68° = 22°
the number of digits in the square root of 36000000 is
The ANSWER is Four Digits
When you'll square root - 36000000 you'll get 6000 there are four digits in 6000
‼️What’s the answer‼️
Answer:
your answer is
Supplementery Angle;X=62
#1: Find the area of the triangle shown below.*
6 ft
14 ft
Answer:
42 Square feet
Step-by-step explanation:
A=(1/2)bh
A=(1/2)(14)(6)
A=42
please answer my question
Answer:
your questions is not complete yet please send full questions and write your question ⁉️ so I will solve your problem
write the answer as a decimal to the nearest tenth
Y=___( look at the image )
hey! i’ll give brainliest help thanks
Answer: The last one
Step-by-step explanation:
Answer:
D. 4th Option.
Explanation:
The cause is that a team is from your town and the effect is that you'll try to be a fan. The italicized words if and then indicate a cause and effect.
The graph shows the proportional relationship between the side lengths of a square and its perimeter. Which equation shows the same relationship between the side length and the perimeter of a square? Perimeter of Square P. 32 28 24 P 15 Perimeter (inches) 20 16 12 P1 8 0 2 4 6 8 Side Length (inches) P 418
Answer:
y=4x
Step-by-step explanation:
Write the equation of linear function
Substitute:
Multiply the monomials:
Rearrange unknown terms to the left side of the equation:
Reduce the greatest common factor on both sides of the equation:
Rearrange unknown terms to the left side of the equation:
Divide both sides of the equation by the coefficient of variable:
Substitute one unknown quantity into the elimination:
Solve the equation: m=4
Write the solution set of the equations:
Substitute: y=4x
Answer: y=4x
[tex] \sqrt{91 + 9} [/tex]
need help please
solve the right triangle.
Answer:
b=4√10
Step-by-step explanation:
AB²=AC²+BC²
14²=b²+6²
b²=14²-6²=160
b=√160=4√10
delete my answer
Step-by-step explanation:
Which set of numbers shows all the factors of 18?
18, 36, 54, 72, 90
9, 18, 27, 36
1, 3, 6, 18
1, 2, 3, 6, 9, 18
Answer:
last set
Step-by-step explanation:
1 x 18 = 18
2 x 9 = 18
3 x 6 = 18
Answer The last set
:
Step-by-step explanation:
Area of square is
a 2(l+b)
b l+b
c l²
d l³
[tex] \huge \huge \huge\square[/tex]
Here All Sides Are Equal So,
Area = side × side= side²
So Assuming Side As 'l'
so, l×l = l²
Option C= l²Hope This Helps You ❤️