Answer:
27
Step-by-step explanation:
How many 2cm×2cm cubes can be packed in a box 1m long,20cm wide and 4cm deep.
Answer:
1000
Step-by-step explanation:
I guess, something went wrong with the text up there.
I assume it should say 2cm×2cm×2cm cubes. right ? because a cube has 3 dimensions, not just 2.
otherwise an infinitely large number of "just squares" would fit into the box ...
so, the box is
1m×20cm×4cm = 100cm×20cm×4cm = 8000 cm³
a single cube would be
2cm×2cm×2cm = 8 cm³
therefore,
8000 / 8 = 1000 cubes can be packed into that box, since the dimensions of the box in relation to the dimensions of the cubes do not force to have some empty left over space. the box can be packed tightly.
Look at picture pleasee
Answer:
Point A.
.................
Answer:
It is the Picture B.
Step-by-step explanation:
Please help me solve this question ?
Answer:
Hi,
If you don't know how to derivate, i can show you using
lim (f(x+h)-f(x))/h if h ->0
Step-by-step explanation:
[tex]f(x)=2x^2+3x-2\\\\f'(x)=4x+3\\\\f'(1)=4*1+3=7\\\\f'(3)=4*3+3=15\\\\f'(5)=4*5+3=23\\[/tex]
Step-by-step explanation:
18
48 students is 80% of how many students?
Answer:
60
Step-by-step explanation:
let X be the total number of students.
48÷x *100 = 80
4800= 80x
X = 60 students
A circle's circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle by using 3 for pi.
Step-by-step explanation:
Circumference = 76cm
Circumference = 2(π)(r)
r -> radius
=> 2(π)(r) = 76
=> (π)(r) = 76/2
=> (π)(r) = 38
=> 3r = 38
=> r = 38/3
=> r = 13cm (Approx.)
Diameter = 2r = 2(13) = 26cm
Area = π(r)^2
= 3(13)^2
= 3(169)
= 507 cm^2
Answer
d=25.34cm
a=160.53cm
cf=12.67cm
Step-by-step explanation:
circumference=cf
diameter=d
radius=r
area=a
d=2r
=2×12.67cm
=25.34cm
cf=2πr
76cm=2(3)r
76cm=3r
2
38cm=r
3
r=12.66^cm
r=12.67cm
find the area
a=πr^2
a=12.67×12.67πcm
a=160.53πcm(it is near to this)
formula of a square minus b square
Answer:
(a+b)(a-b)
Step-by-step explanation:
[tex]\\ \sf\longmapsto (a+b)(a-b)[/tex]
[tex]\\ \sf\longmapsto a(a-b)+b(a-b)[/tex]
[tex]\\ \sf\longmapsto a^2-ab+ba-b^2[/tex]
[tex]\\ \sf\longmapsto a^2-ab+ab-b^2[/tex]
[tex]\\ \sf\longmapsto a^2-b^2[/tex]
[tex]\large\bf{\orange{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: (a + b) \quad \: (a - b)[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: a \: (a - b) \quad \: b \: (a - b)[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ba \: - \: {b}^{2} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ab \: - \: {b}^{2} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: \cancel{ab} \: + \: \cancel{ab} \: - \: {b}^{2} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]
Which equation is represented by the graph?
Answer:
I don't knowledge bro sorry
Plz help I need this last question
Step-by-step explanation:
[tex]v = \frac{\pi r {}^{2}h }{3} [/tex]
[tex]3v = \pi {r}^{2} h[/tex]
[tex] \frac{3v}{\pi h} = {r}^{2} [/tex]
[tex] \sqrt{ \frac{3v}{\pi h} } = r[/tex]
Find the simple interest. The rate is an annual rate unless otherwise noted. Assume 365 days in a year and 30 days per month Round to the nearest cent $600 at 3% for 1 year
9514 1404 393
Answer:
$18
Step-by-step explanation:
The interest is computed using the formula ...
I = Prt
where P is the principal, r is the annual rate, and t is the number of years. The interest is ...
I = $600×0.03×1 = $18
The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the admission fees collected a total 970,000 dollars how many children and how many adults were admitted?
Answer:
180 children and 175 adults
Step-by-step explanation:
Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.
The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity 4* (355-x)= 1420 -4x
If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)
1.5x+ 1420-4x= 970
1420-2.5x= 970
x=180- children
355-180=175adults
4) Daily tickets to Six Flags cost $50 each.
Variable #1:
What is the variable
Answer:
Amount of tickets
Step-by-step explanation:
The variable is the amount of tickets purchased because that is the only thing that changes, according to the statement that says that daily tickets are $50.
Find the length of x
Answer:
x = 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The triangle is isosceles with legs congruent, both x
Using Pythagoras identity in the right triangle
x² + x² = 16²
2x² = 256 ( divide both sides by 2 )
x² = 128 ( take the square root of both sides )
x = [tex]\sqrt{128}[/tex] = [tex]\sqrt{64(2)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex] = 8[tex]\sqrt{2}[/tex]
find the area of the triangle and round to the nearest tenth
Answer: 73.5mi²
Step-by-step explanation:
Area of triangle = 1/2×b×h
= 1/2×14×10.5
= 7×10.5
=73.5mi²
please click thanks and mark brainliest if you like :)
7. Find HCF of: x'y and ly*
8. Find LCM of 4x - 20 and 6x - 30
9. Factorize Factorize: -m-+ 1 + me
10. Factorize: 4x100
11. Simplify: V18+ va 12. If a = 2, b = 3 and c= 4, fmd the value of a b c 13. Subtract: 125- 45 a--200+ 14. Simplify: ***
PLEASE HELP ME
Answer:
7 ans-HCF is y
Step-by-step explanation:
soln
first expression=X and y
second expression=l and y
so HCF means common so the Ans is y
and is in group 38 Rock she can put them into groups of 10 rocks or as single rocks what are the different ways Ann can group the rocks?
and is grouping 38 rocks she can put them into groups of 10 rocks or has single rocks what are the different ways and can group The Rocks
Answer:
She can put the rocks into groups of 19.
That would give her 2 groups.
Step-by-step explanation:
The formula v=at +16t² is used in mechanics.Rewrite to nake a the subject and find it's value when v=27 and t=4
Answer:
[tex]v = at + 16 {t}^{2} \\ v - 16 {t}^{2} = at \\ \frac{v - 16 {t}^{2} }{t} = a \\ (27 - 16 \times {4}^{2}) \div 4 = a\\ \frac{27 - 256}{4} = a\\ \frac{ - 229}{4} = - 57.25 \\ thank \: you[/tex]
There are 768 beds in a hospital.
Each floor has 64 beds.
How many floors are there?
Answer:
12 floors
Step-by-step explanation:
768 ÷ 64 = 12.
Answer:
12
Step-by-step explanation:
768 divided by 64 =12
if a pendrive is bought for 1200 and sold at 25% profit find the profit amount
Answer: Profit = $300
Step-by-step explanation:
Given information
Original Price = $1200
Profit rate = 25%
Given expression
Profit amount = Profit rate × Original price
Substitute values into the expression
Profit amount = 25% × 1200
Profit amount = $300
Hope this helps!! :)
Please let me know if you have any questions
Bob wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window?
ANSWER: The glass window will cost $252.00 for window replacement.
EXPLANATION:
The area of a square is given by the formula:
s^2
where s is the side length.
If we were to replace the glass window, and it will cost $7.00 per square foot, the total price will be:
FIND AREA OF THE GLASS WINDOW:
6^2 = 36 square feet
$7 per square foot so:
36 x 7 = 252
Therefore it will cost $252.00 to replace the glass window.
A prism and two nets are shown below: Prism 1 E 3 Net A Net Part A: Which is the correct net for the prism? Explain your answer. (2 points) Part B: Write the measurements of Sides AB. BC, and CD of the correct net. (4 points) Part C: What is the surface area of the prism? Show your work. (4 points)
Answer:
A) Net A (see explanation)
B) AB = 3 in. | BC = 5 in. | CD = 7.2 in.
C) SA = 98.4 in²
Step-by-step explanation:
Part A
Net A is the correct net for the prism. If you look at the way the folds are, the flaps on the top and bottom would fold up to make the side of the prism. On net B, the flaps wouldn’t fit the shape correctly.
Part B
AB = This is the height of the prism.
= 3 in.
BC = This is the slant on the front of the prism.
= 5 in.
CD = This is the length of the prism.
= 7.2 in.
Part C
* First we’ll solve for the two triangles. They are the same shape and size, so we just need to solve one then duplicate it.
One triangle:
A = 1/2bh
= 1/2 (4) (3)
= 6 in²
Back rectangle:
A = bh
= 7.2 (3)
= 21.6 in²
Front rectangle:
A = bh
= 7.2 (5)
= 36 in²
Bottom rectangle:
A = bh
= 7.2 (4)
= 28.8 in²
Total:
A = 6 + 6 + 21.6 + 36 + 28.8
= 98.4 in²
Please show detailed work if possible-that will help me to better understand the questions
start with this expression:
f(x) = 2x2 − x − 10
1st- What are the x-intercepts of the graph of f(x)? Show work on how to get this
2nd- Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Show work on how to get this
Part C: What are the steps you would use to graph f(x)? show how you can use the answers obtained in Part A and Part B to draw a graph
Answer:
We are given the function:
[tex]f(x)=2x^2-x-10[/tex]
[tex]Here,\\a=2, b=-1,c=-10[/tex]
1. X-intercepts are the points at which the graph of a function intersects or cuts the x-axis. Since the x-intercept always lies on the x-axis, its ordinate or y-coordinate will always be 0. Since the function is quadratic, it will have at most 2 x-intercepts.
In order to find the x intercept, we basically solve for x at y=0:
[tex]f(x)=2x^2-x-10\\As\ y=0,\\0=2x^2-x-10\\2x^2-x-10=0\\ 2x^2-5x+4x-10=0\\x(2x-5)+2(2x-5)=0\\(x+2)(2x-5)=0\\Hence,\\Individually:\\x=-2,\ x=\frac{5}{2}[/tex]
Hence, the x-intercepts of the parabola of f(x) is (-2,0),(2.5,0)
2. The vertex of parabola is determined as maximum or minimum, solely on how it opens. This depends on the nature of the co-efficient of the x^2 term or 'a'. If a is positive the parabola opens upwards (minimum point) and downwards (maximum point) if negative. Hence, here as a=2, the parabola opens upwards and its vertex is minimum.
[tex]Vertex=(\frac{-b}{2a},\frac{-D}{4a})\\Hence,\\D=b^2-4ac\\Substituting\ a=2,b=-1,c=-10:\\D=(-1)^2-4*2*-10=1+80=81\\Hence,\\Vertex\ of\ f(x)=(\frac{-(-1)}{2*2},\frac{-81}{4*2})=(\frac{1}{4},\frac{-81}{8})[/tex]
3. [Please refer to the attachment]
From the graph, we observe that the parabola cuts the x-axis at (-2,0),(2.5,0). Also, its clear that the axis of symmetry passes through [tex](\frac{1}{4},\frac{-81}{8})[/tex], which is its minimum point.
Answer:
A chord of a circle is 9cm long if it's distance from the centre of the circle is 5cm calculate the radius of the circle
Given the formula A = 5h (B + b); solve for B.
2
Answer:
A=5h(B+b)
A/5h=B+b
A/5h - b= B
Translate to an equation, then solve
Thirteen less than nine times a number is equal to 11 more than seven times the number.
Answer:
n=12
Step-by-step explanation:
13 less than 9 times a number: 13 less than 9n, 9n-13
11 more than 7 times a number: 11 more than 7n, 7n+11
9n-13=7n+11
2n=24
n=12
HELP PLEASE!
The length of a rectangle is 2V5. The width of the same rectangle is 5V5. Find the perimeter and area of the rectangle.
Answers:
[tex]\text{Perimeter} = 14\sqrt{5}\\\\\text{Area} = 50\\\\[/tex]
=======================================================
Work Shown:
[tex]L = 2\sqrt{5} = \text{length}[/tex]
[tex]W = 5\sqrt{5} = \text{width}[/tex]
P = perimeter
[tex]P = 2*(L+W)\\\\P = 2*(2\sqrt{5}+5\sqrt{5})\\\\P = 2*(7\sqrt{5})\\\\P = 14\sqrt{5}\\\\[/tex]
-------------
A = area
[tex]A = L*W\\\\A = (2\sqrt{5})*(5\sqrt{5})\\\\A = (2*5)(\sqrt{5}*\sqrt{5})\\\\A = 10\sqrt{5*5}\\\\A = 10\sqrt{25}\\\\A = 10*5\\\\A = 50\\\\[/tex]
If ABCD is dilated by a factor of 3 the coordinates of A would be
Answer:
A'=(-9, - 3)
Step-by-step explanation:
A' will be 3*(the coordinates of A), A'=(-9, - 3)
Coordinates of A' are given by (-9,-3).
What is Coordinates?Coordinates of a point suggest the position of that particular point in the Cartesian Plane.
If the coordinates of a point are (x,y) then x is the distance of the point from Y-axis and y is the distance from the X-axis.
Here in the given graph, we can see that the coordinates of A of quadrilateral ABCD are (-3,-1)
ABCD is dilated by a factor of 3.
So the coordinates of the A' which is the point A after dilating by 3 are given by the product of 3 and corresponding original coordinations.
Hence the coordinates of A' are = (3*(-3),3*(-1)) = (-9,-3)
Learn more about Coordinates here -
https://brainly.com/question/20362114
#SPJ2
For the function F defined by F(x) = x2 – 2x + 4, find F(| — 4|).
F(x)=x^2-2x+4
[tex]\\ \sf\longmapsto F(|-4|)[/tex]
[tex]\\ \sf\longmapsto F(4)[/tex]
[tex]\\ \sf\longmapsto 4^2-2(4)+4[/tex]
[tex]\\ \sf\longmapsto 16-8+4[/tex]
[tex]\\ \sf\longmapsto 8+4[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
Tyler made a scale drawing of his apartment. The scale is 1 millimeter: 2 meters. The living room is 6 meters long in
real life. How long is the living room on the drawing?
Identify the vertex of the function f(x) = |x-^1/2|-2
the negative will shift the graph right, so x = 1/2
the negative 2 will shift the graph down, so y = -2
Thus, the vertex is (1/2, -2)
What is the distance between (2,6) and (-2,5)? Round your answer to the nearest tenth.
Answer: Distance = √17
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
Distance Formula = [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Given information
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, 6)
Given formula
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute values into the formula
[tex]Distance=\sqrt{(2+2)^2+(6-5)^2}[/tex]
Simplify value in the parentheses
[tex]Distance=\sqrt{(4)^2+(1)^2}[/tex]
Simplify exponents
[tex]Distance=\sqrt{16+1}[/tex]
Simplify by addition in the square root
[tex]\boxed{Distance=\sqrt{17}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
square with side 4 is dilated by 7
Answer:
196 in/cm/m²
Step-by-step explanation:
Given that the scale factor is a : b , then the area factor is a² : b² Here the scale factor is 1 : 7 , thus area scale factor is 1² : 7² = 1 : 49 That is the area of the dilated square is 49 times the original square. area of dilated square = 4 × 49 = 196 in/cm/m²
