Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height *
Step-by-step explanation:
The propability of Sachin's team winning any match is 0.45
Write down the propability of sachin's team not winning any match.
Answer:
0.55
Step-by-step explanation:
o.45 + X = 0.55
the probability of not winning is 0.55
someone help work out the mean!!
Answer:
8.2
Step-by-step explanation:
Select all the inequalities that relate the sides of the figure shown.
b
c>a
c
b>a
a
Answer:
b
Step-by-step explanation:
According to the given angles in the question, angle b is greater than angle a.
What is inequality?Mathematical equations with inequalities on both sides are known as inequalities. In an inequality, we compare these two values as opposed to equations. Somewhere between, the equal sign is changed to a less than (or less than or similar to), bigger than (or greater or equal to), or just not equal to sign.
As per the given data from the question,
The side which has got a larger angle has the largest side.
The side c is greater than a and side b is also greater than a.
The remaining angle can be calculated as:
The sum of all angles will be equal to 360.
x + 75 + 90 + 105 = 360
x = 90°.
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Use a triple integral to find the volume of the tetrahedron T bounded by the planes x+2y+z=2, x=2y, x=0 and z=0
Answer:
Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0
We have,
z = 0 and x + 2y + z = 2
⇒ z = 2 - x - 2y
∴ The limits of z are :
0 ≤ z ≤ 2 - x - 2y
Now, in the xy- plane , the equations becomes
x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)
Firstly , we find the intersection between the lines x = 2y and x + 2y = 2
∴ we get
2y + 2y = 2
⇒4y = 2
⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5
⇒x = 2([tex]\frac{1}{2}[/tex]) = 1
So, the intersection point is ( 1, 0.5)
As we have x = 0 and x = 1
∴ The limits of x are :
0 ≤ x ≤ 1
Also,
x = 2y
⇒y = [tex]\frac{x}{2}[/tex]
and x + 2y = 2
⇒2y = 2 - x
⇒y = 1 - [tex]\frac{x}{2}[/tex]
∴ The limits of y are :
[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]
So, we get
Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]
= [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]
= 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0
= 1 - 1 + [tex]\frac{1 }{3}[/tex] = [tex]\frac{1}{3}[/tex]
So, we get
Volume =[tex]\frac{1}{3}[/tex]
The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.
Given,
The tetrahedron T is bounded by the planes,
[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]
From equation (1),
[tex]z=2-x-2y[/tex]
So the limits of z will be from 0 to [tex]2-x-2y[/tex].
Now, from equation (2),
[tex]y=\frac{x}{2}[/tex]
and from equation (1), putting z=0 we get,
[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]
So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].
On solving equation (1), for x we get
[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]
[tex]x=1[/tex].
So the limits of x will be from 0 to 1.
The volume of tetrahedron will be,
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]
[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]
[tex]V=1-1+\frac{1}{3}[/tex]
[tex]V=\dfrac{1}{3}[/tex]
Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.
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Max is flying a kite and gets tired of holding the string attached to the kite. Max has let out approximately 40 feet of string and the string makes a 32 degree angle with the ground. How high is the kite at the time?
Answer: i think 8
Step-by-step explanation:
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis
Which sentence describes the coordinates of the new point?
The x-coordinato is nogativo, and tho y coordinato is positivo,
The x-coordinate is positivo, and tho y coordinato is positivo,
The x-coordinato is negative, and the y coordinato is negativo.
The x-coordinate is positive, and the y coordinato is nogativo.
Answer:
" The x-coordinato is negative, and the y coordinato is negativo. "
Step-by-step explanation:
Both are in the bottom left quadrant: -x -y
You started here:
And reflected across the ☝ line aka Y
Which means it would now be on the left
Help me with this circle question
Answer:
50.265482457436 inches
Step-by-step explanation:
radius = 8 inches
C = 2×pi×r
= 2×pi×8
C = 50.265482457436 inches
Gift boxes at Walgreens are sold in packs of 8, and cost $6.00. At CVS, the price for a 10 pack of gift boxes is $9.00. Determine which store offers a better bargain based on the price per box. Type the name of the store on the line.
Answer:
CVS
Step-by-step explanation:
i am pretty sure
3/5 is simplest form yes or no
Answer:
Yes
Step-by-step explanation:
3 and 5 don't got a GCF
What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?
Answer: = (-2,3)
Step-by-step explanation:
Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.Here, fixed point = origin = (0,0)
Transformation rule for rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin:
[tex](x,y)\to (-y,x)[/tex]
Then, the image of the point (3,2) = (-2,3)
Hence, the image of the point (3,2) after a rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)
Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy
Step-by-step explanation:
at a concession stand three hotdogs in for hamburgers cost $13.50 for hotdogs and three hamburgers cost $12.75 find the cost of one hotdog and find the cost of one hamburger
Find the coordinates of the point on the directed segment from (1,2) to (6,12) that divides it into a ratio of 2:3
Answer:
Point of contact ( 3,6)
Step-by-step explanation:
Step(i):-
Given that the points are (1,2) and (6,12)
The ratio 2:3 divides the line segment
The line segment divides m:n externally
[tex](\frac{mx_{2}-nx_{1} }{m-n} ,\frac{mx_{2}-nx_{1} }{m-n} )[/tex]
Step(ii):-
(x₁, y₁) = (1,2) and (x₂, y₂)= (6,12) and m:n =2:3
[tex](\frac{2(6)+3(1) }{2+3} ,\frac{2(12)+3(2) }{2+3} )[/tex]
([tex](\frac{12+3}{5} ,\frac{24+6}{5} )[/tex]
([tex]\frac{15}{5} ,\frac{30}{5})[/tex]
(3 , 6)
Final answer:-
Point of contact ( 3,6)
This trapezoid based right pyramid has a volume of 48m cubed with a height of 8 and slant height of 14 what is the area of the base of the pyramid
Answer:
18
Step-by-step explanation:
Khan Academy
How many times will the graph of this equation cross the x-
axis?
y= 22^2– 7x - 9
Re write the statement 19+7 divided by 2-5 by including one pair of brackets to make the total equal to 8
PLEASE HELP if 5 more than 3 times a number is -4, what is the number?
Answer:
x = -3
hope it's helpful ❤❤❤
THANK YOU.
Hey there!
The answer to your question is "n = -3"
First, we can start by writing the equation as it says. "3 times a number" represents a number times 3, or "3n"
3n
Next, "5 more" represents addition, so "+ 5"
3n + 5
Finally, "is -4" means it is equal to -4, so "= -4"
3n + 5 = -4
Now that we have our equation, we can solve:
3n + 5 = -4
First, we subtract "5" from both sides of the equal sign:
3n = -9
Lastly, we divide both sides by "3".
n = -3
Have a terrificly amazing day!
which letter would be the most meaningful variable for this problem situation? the distance a bike travels divided by 3!
Answer:
We could use 'd' as a variable to represent distance. And since distance is the most important thing in this question, the most important variable would be 'd'.
Is this what you were asking?
I hope I could help. (๑•～•)
Which of the following graphs represents the equation y- 4 =3(x-1)
A. Graph A.
B. Graph B
C. Graph
D. Graph D
please help
Answer:D
Step-by-step explanation:y-4=3(x-1)
y-4=0 3(x-1)
y=-4 , 3x-3
y=-4=3x-3
3 3
y=-4, = x=1
y-x=1+4=5
The price of gas was $2.49 last month. This month, gas costs $2.79. What is
the percent increase?
Answer:
12%
Step-by-step explanation:
2.79 - 2.49 = $0.30
0.30 / 2.49 = 0.12 = 12% (decimal changes to percent)
You can check your work by doing original cost times the decimal of the percent increase. $2.49 * 0.12 = $0.30. Add this to original -> 0.30 + 2.49 = $2.79.
Graph the inequality X+6y<6
Answer:
can i see the picture?
Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month. Find an expression for the total monthly revenue Theodore and Sarah's business can generate if they change the selling price of their T-shirts. Let x represent the number of $1 increases in the price of the T-shirts.
Answer:
(205-9x) times15
Step-by-step explanation:
The expression the total monthly revenue of Theodore and Sarah's business is (205-9x)15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month.
The expression will be written as,
E = (205-9x)15.
Therefore, the expression the total monthly revenue of Theodore and Sarah's business is (205-9x)15.
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Can someone help me ?
Answer:
Step-by-step explanation:
Given
let the unknown angle be x then,
with reference angle x
perpendicular(p) = 3
base(b)= 9
now
tan x = p/b
tan x = 3 / 9
tan x = 1 / 3
x = tan ^-1( 1/3)
x = 18.43°
hope it will help u :)
32% of 25 is what number
Answer:
8
Step-by-step explanation:
it just is
Answer:
8
Step-by-step explanation:
Convert to a decimal
32%
move two decimal points to the left
0.32
multiply
0.32 times 25 = 8
John bought 4 pants that each cost the same amount and a pair of sneakers that cost $65. The items he bought cost a total of $145 before tax was added. Which equation represents the cost of each pants, p.
Answer:p=$20
Step-by-step explanation:
145-65=80
80/4=20
so each pant costs $20
p=$20
What is the largest integer that makes 4t - 42 - 18t > -14 true?
Answer:
[tex]t < - 2 \\ t = - 3[/tex]
Step-by-step explanation:
[tex]4t - 42 - 18t > - 14[/tex]
[tex]4t - 18t > - 14 + 42[/tex]
[tex] - 14t > 28[/tex]
[tex] \frac{ - 14t}{ - 14} < \frac{28}{ - 14} [/tex]
[tex]t < - 2[/tex]
[tex]if \: \: \: \: \: t = - 3[/tex]
[tex]4t - 42 - 18t { > }^{?} - 14[/tex]
[tex]4 \times - 3 - 42 - 18 \times - 3 { > }^{?} - 14[/tex]
[tex] - 12.6 > - 14[/tex]
If you use 20 cups of flour, how many teaspoons of vanilla should you use? *
Answer:
1/16
Step-by-step explanation:
You should use 1/16 teaspoons of vanilla for the 20 cups of flour that u used
what is the measure angle of x?
Answer:
109
Step-by-step explanation:
180-71
[tex]\huge\tt\pink{\boxed{\tt{\blue{★\:Answer}}}}[/tex]
[tex]\longmapsto71\degree + x = 180 \degree \: ( \because \: linear \: pair) \\\longmapsto x = 180 -71 \\ \longmapsto109\degree[/tex]
Subject: Maths
Level: High-school
Topic: transforming graphs
Points: 90
PLEASE HELP!
Answer:
i) (-1,-5)
ii) (-2, -6)
iii) (2, 0)
Step-by-step explanation:
its been a long since i did these not sure but the best i got
hope it helped
What would the remainder of 5672 ÷ 9 be?Please help me :(
Would love it if you guys helped me and showed solutions! Brainly points and thank you points too! <3
Unitary method question.
Answer:
the better value is £9
Step-by-step explanation:
unitary method..
find out how much 1kg will cost in the supermarket and multiply by 12.5kg
For the supermarket
1.83/2.5= 0.732 for one kg.
for 12.5 kg
0.732× 12.5= £9.15
hence the farm shop price is lower than the supermarket price
