hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.
But to truly calculate the volume
5 x 3 = 15
15 x 3 = 45
45 is the volume of the fish tank
the three altitudes of a triangle intersect at the:
Explanation:
An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.
Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the orthocenter. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.
Part C
Does this curved line represent a function? If not, at what points does it fall the vertical line test?
Answer:
it is a function because it doesn't have multiple y values for each x value
Find the product and simplify answer -2a^2(5a^2 - 5a + 5)
[tex] \: \: \: \: \: [/tex]
[tex] = \: \: 10 {a}^{4} + 10 {a}^{3} - 10 {a}^{2} [/tex]
refer to the attachment for explanationhope it helps ~♪FURNITURE A modern table is constructed with four legs made
of concrete cubes with cube-shaped notches.
a. Define one or more variables and write an expression that
represents the volume of one table leg.
b. Marisol determined that she will use 12,636 cubic inches of
concrete to construct the four table legs. If the sides of the
notches are 40% of the sides of the legs, how long are the sides of the legs?
The volume of a shape is the amount of space in it.
The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long(a) The volume of one table leg
Represent the side length of the leg with l, and the side length of the notch with n.
So, the expression that represents the volume of one table leg is:
[tex]V = l^3 + n^3[/tex]
(b) The length of the sides
From the question, we have:
[tex]n = 40\% \times l[/tex]
Express 40% as decimal
[tex]n = 0.40 \times l[/tex]
[tex]n = 0.4l[/tex]
Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]
[tex]V =l^3 + (0.4l)^3[/tex]
[tex]V =l^3 + 0.064l^3[/tex]
[tex]V =1.064l^3[/tex]
The volume of the 4 legs is given as: 12636
So, the volume of one leg would be 12636/4
So, we have:
[tex]1.064l^3 = \frac{12636}{4}[/tex]
[tex]1.064l^3 = 3159[/tex]
Divide both sides by 1.064
[tex]l^3 = 2968.985[/tex]
Take cube roots of both sides
[tex]l = 14.37[/tex]
Hence, the sides of the legs is 14.37 inches long
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a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left?
Helpppppppnmeeeeeeee plsss I will give you brainliest
Answer:
5) Slope is 6/5
6) Slope is -3
7) Slope is 2/5
8) Slope is 2
Step-by-step explanation:
You're welcome :D
Solve for the variable 2y<14 A) y<12 B) y>-7 C) y>7 D) y<7
Answer:
D) y < 7
Step-by-step explanation:
So we have 2y < 14:
To solve, we will simply divide by 2 on both sides in order to isolate the y value. Now we have y < 7.
Hope this helps you :)
please help me with math !!
the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.
a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.
Answer:
a) x = 4b) y = 1.25x + 15c) (-12, 0)Step-by-step explanation:
a) PQ is parallel to the y-axis and contains point (4, 5).
It means its equation is:
x = 4b) RQ is parallel to OP.
Parallel lines have equal slopes.
Find the slope of OP:
m = 5/4 = 1.25RQ has slope of 1.25 and passes through (- 8, 5).
Find its equation using point-slope form:
y - 5 = 1.25(x - (-8))y - 5 = 1.25x + 10y = 1.25x + 15c) The x-intercept is determined at y = 0:
0 = 1.25x + 151.25x = - 15x = - 15/1.15x = - 12David hikes 2 1/4 miles in 1/2 an hour. At his rate, how long will it take him to walk 18 miles
Type the correct answer in each box. Use numerals instead of words.
Step-by-step explanation:
A
let's bring everything on the right hand side back under the square root :
8² = 64
(x³)² = x⁶
so, we get
sqrt(448x^c) = sqrt(64×7×x⁶×x) = sqrt(448×x⁷)
therefore, c = 7
B
similar to A let's bring everything on the right side under the cubic root :
4³ = 64
(x)³ = x³
cubic root(576x^d) = cubic root(64×9×x³×x²) =
= cubic root(576×x⁵)
therefore, d = 5
initial value on this table
Answer:correct me if I’m wrong but it’s 0.
Step-by-step explanation:
85-51=34. 34
—————=. —————=17
5-3. 2
And once 17 is the slope/rate of change,you can either go back 17 each time or….do an equation : f(x)=17(x-3)+51
∠A and \angle B∠B are vertical angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x+8)^{\circ}∠B=(x+8) ∘ , then find the measure of \angle A∠A.
Answer:
m∠B=52
∘
Step-by-step explanation:
Two or more angles are said to be complementary if they sum up to 90 degrees.
Given that angles A and B are complementary, then:
\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}
find k where y varies directly as x, and the following are true.
y = 2 when x = 16
Answer:
y=2
x=16
k=difference is x and y
so k=16-2
k= 14
help pls please hmmm
Step-by-step explanation:
Here is your answer
(2)⁴*³2¹²Answer:
2^12
Step-by-step explanation:
Since 2^4 is already powered you will only power the 4 and not the 2
For example (a^2)^3 = a^6
and not a*a*a^6
You only power the 2 and not the "a"
Hope this helps!
In the equation, y=3x+2, is the point (2,8) a solution the equation?
1: Yes, the point is solution
2: No, the point is not a solution
Answer:
Given: The equation of the line y = 3x+2
The condition for a point to be on a line is to satisfy its equation
(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation
3 = 3(1/3) + 2
= 1 + 2
= 3
Hence, (1/3, 3) lies on the line
(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation
8 = 3(2) + 2
= 6 + 2
= 8
Hence, (2, 8) lies on the line
(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation
2 = 3(0) + 2 = 2
Hence, (0, 2) lies on the line(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation
19 = 3(7) + 2
= 21+ 2
= 23 ≠ 19
hence, (7,19) doesn’t lie on the line• Therefore ,Yes the point is a solution .Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!Bones or no bones day?
Answer:
I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...
Step-by-step explanation:
Answer:Bones Day
Step-by-step explanation:
You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir? Explain. Write your answer in simplest form.
Answer:
one and one fourth
Step-by-step explanation:
6√21 ×√28
please show work :D
Answer:
84√3
Step-by-step explanation:
6√21√28
6√7√3√7√4
(6√7√3√7)(2)
(6*7)(√3)(2)
(42)(√3)(2)
84√3
[tex]6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}[/tex]
What type of triangle is this?
5
7
8
acute
obtuse
Answer:
Acute
Step-by-step explanation:
Find the surface area of a cylinder with radius 8m and height 5 m
Answer:
A≈653.45
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127
Tire King is having a sale where customers can buy 4 new tires for $ 319.96 . What is the unit price of the tires?
Answer:
each tire is 79.99
Step-by-step explanation:
Answer:
$79.99
Step-by-step explanation:
A trucking company uses matrix A, shown below, to represent the driving time in hours for 6 trucking routes. A=[4686810]The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60A?
Answer:
The answer is 90A because.....
Step-by-step explanation:
The truck company is 90 miles an hour away so the matrix divided by two is 3 plus 6 again is 9 hoped is help you.
Complete the tables of values.
Q1) y = x2 - 2x + 4
x -1 0 1 2 3
y
Answer:
2x(+4)x2
Y-1 0 1 5 2
Step-by-step explanation:
hope it help
The base of a pyramid has n sides.
Write an expression for the number of vertices of the pyramid.
The answer to the question is n+1
Item 4
What is the expanded form of this number?
570.086
(5×100)+(7×10)+(8×110)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×11,000)
(5×100)+(7×10)+(8×110)+(6×11,000)
Answer:
10, 100. 70,700
Step-by-step explanation:
cuz qauntom of 11 77 divided by 11
A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory
200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:
250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000
Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
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AB with endpoints A(-2, -3) and B(4,4) is reflected in the line y = x to create its image A'B' Graph A' B' Then find the perimeter of the figure formed by the segments AB
BA' and AA to the nearest tenth
Answer:
Step-by-step explanation:
blank % of $10 = $5
thank u for anyone who helps!!
Answer:
50%
Step-by-step explanation:
Because you don't know the percentage, you can do 5/10, and you will get 1/2, or 0.5. 1/2 is 50%, so the answer would be 50%
I need answer please the answer is not translation
Answer:
Dilation
Step-by-step explanation:
A dilation is where the size of the figure changes. The square gets larger and therefore undergoes a dilation.
Other transformations:
In a translation the figure slides or moves from its original position
In a reflection the figure is reflected across a given line
In a rotation the figure is rotated.
y-4 = 6(x + 7)
What’s the y-intercept of the equation?
Please explain it to me