Step-by-step explanation:
Let coordinate of M(x, y)
we know,
image of M(x,y)-------M'(-y,x)
From question
(-y,x)= (-5,-4)
or, -y = -5 and x= -4
So, y=5 and x= -4
Therefore M(x,y)=M(-4,5)
Which of the following are valid names for the given triangle? Check all that apply:
Answer:
A, C, E
Step-by-step explanation:
Only letters T, A, and X on the triangle can be used to describe it, regardless of the order they are in.
(PLS HELP)The diameter of a cylindrical water tank is 12 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for л, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Solution:
We know that:
Volume of a cylinder = πr²h.Finding the radius of the cylindrical water tank:
[tex]\rightarrow Diameter = 2(Radius)[/tex]
[tex]\rightarrow Radius = \frac{Diameter}{2} = \frac{12}{2} = 6 \ feet[/tex]
Now, let's find the volume of the cylinder by substituting the radius.
Finding the volume of the cylinder:
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = \pi r^{2} h[/tex]
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = (3.14)( 6^{2})( 17)[/tex]
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = (3.14)( 36)( 17)[/tex]
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = 1921.68 \ feet^{3}[/tex]
Rounding to the nearest whole number:
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = 1921.68 \ feet^{3}[/tex]
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = 1922 \ feet^{3} \ (Rounded \ to \ nearest \ whole \ number)[/tex]
Thus, the volume of the cylinder is 1922 feet³ (Rounded).
[tex]\\ \rm\rightarrowtail V=\pi r^2h[/tex]
[tex]\\ \rm\rightarrowtail V=\pi (6)^2(17)[/tex]
[tex]\\ \rm\rightarrowtail V=36(17)\pi [/tex]
[tex]\\ \rm\rightarrowtail V=612\pi[/tex]
[tex]\\ \rm\rightarrowtail V=1921.68ft^3[/tex]
Simplify the exponents in the picture please
Answer:
First: 3x^25/y^12 z^7
Second: x^6 z^12/6
Step-by-step explanation:
Answer:
see image
Step-by-step explanation:
One mile per hour equals how many feet per second? Assume there are 5280 feet in a
mile.
Answer:
Roughly 1.46 repeating
Step-by-step explanation:
Substitute the 5280 for the miles and there are 3600 seconds in an hour. divide 5280 by 3600 and it will give you a decimal.
Error Analysis A gardener plans to extend the length of a rectangular garden by 7 feet. Letx represent the garden's original length. The expression 9(x + 7) represents the area of the garden, where 9 is the width, in feet, and (x + 7) represents the extended length, in feet, of the garden When asked for the area of the extended portion, the gardener incorrectly said it was 16 square feet. Expand the expression to find the area of the extension.
Answer:
9(x+7)
Distribute the 9 by multiplying it to x and 7
9x+63
The area of the extension is 63.
The gardener added 9 and 7 instead of multiplying.
10 ABCD is a trapezium.
B
16 cm
C
х
12.5 cm
D
A
24.3 cm
Work out the size of angle x.
Give your answer correct to 1 decimal place.
hmm the answer is 45.cm because
Answer:
x = 123.6°
Step-by-step explanation:
Subdivide the trapezium into a rectangle and triangle.
The triangle is a right triangle with hypotenuse CD and height 12.5cm.
The base of the triangle is 24.3 - 16 = 8.3 cm
To find angle D, use the tan trig ratio:
[tex]tan(\theta)=\dfrac{O}{A}[/tex] where [tex]\theta[/tex] is the angle, O is the side opposite the angle A is the side adjacent the angle.
Therefore, for the right triangle:
[tex]\theta[/tex] = DO = 12.5A = 8.3[tex]\tan(\theta)=\dfrac{12.5}{8.3} \implies \theta=56.41583952... \textdegree[/tex]
In a quadrilateral, the sum of the angles between the parallel lines is 180°. Therefore, m∠C + m∠D = 180°
⇒ x + 56.41573952... = 180
⇒ x = 180 - 56.41573952...
⇒ x = 123.6° (1 dp)
Alternatively, calculate angle C of the right triangle and add it to 90° to find x.
How does the wax in a person's ear help keep that person healthy?
(hurry show ur work) what is 8 6/8 ÷ 2 2/5 = ?
Answer:
175/48 or 3.64
Step-by-step explanation:
■ Refer to the attachment.
Hope it helps ⚜
Answer:
27
Step-by-step explanation:
the picture below is your work!
Calculate the length of the unknown side of this right-angled triangle.
9 cm
17 cm
Answer:
14.4 cm
Step-by-step explanation:
PLSSS HELPP
Reject the object over the y-axis
Answer:
I couldn't find a graph with the shape, so I had to use points, sorry.
To reflect a shape, reverse its direction up or down and put it on the same points, positive or negative, accordingly. Reflections usually represent a function.
Basically the shape reflected over the y-axisIs this right? Thank you
Answer:
Yes. This is correct.
Step-by-step explanation:
We can use an online graphing program and we see that your equation is correct! Good job!
Simplify the following expression:
Answer:
[tex]\boxed{-3\left(\sqrt{2}-1\right)}[/tex]
Step-by-step explanation:
[tex]\left(3\sqrt{3-2\sqrt{2}}\right)\left(\sqrt{3}-2\right)\left(\sqrt{3}+2\right)[/tex]
[tex]-3\sqrt{3-2\sqrt{2}}\left(-1\right)[/tex]
[tex]-3\sqrt{3-2\sqrt{2}}[/tex]
[tex]-3\left(\sqrt{2}-1\right)[/tex]
[tex]-3\left(\sqrt{2}-1\right)[/tex]
Answer:
Step-by-step explanation:
[tex](a + b)(a -b) = a^{2}-b^{2}\\\\\\a = \sqrt{3} \ & \ b = 2\\\\(\sqrt{3}-2)(\sqrt{3}+2)=(\sqrt{3})^{2}-2^{2} \\\\ = 3 - 4\\\\= -1[/tex]
[tex](3\sqrt{3-2\sqrt{2}})(\sqrt{3}-2)(\sqrt{3}+2)=(3\sqrt{3-2\sqrt{2}})*(-1)\\ \ = (-3)\sqrt{3-2\sqrt{2}}[/tex]
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you
decide to swim 15 minutes longer than she does one day at practice.
Write an equation for the number of minutes you swim, y, when your friend swims x number of minutes.
You swim 55 minutes.
How many minutes did your friend swim?
minutes
2 of 4 000
i need help please thanks
Answer:
Wouldn't the answer just be 30 degrees?
Answer:
150 degrees
Step-by-step explanation:
150 degrees
Remember, the bigger the angle, the bigger the degree.
Hope this helps!
(a) Cup A has a diameter of 10 cm. and a height of 20 cm. Find the Volume of Cup A.
(b) Determine how many cups of punch the punch bowl will fill using Cup size A. Round the number of scoops to the nearest whole number, and make certain to show your work.
(c) Cup B has a diameter of 20 cm. and a height of 20 cm. Find the volume of Cup B.
(d) Determine how many cups of punch the punch bowl will fill using Cup size B. Round the number of scoops to the nearest whole number, and make certain to show your work.
Can someone help me with this?
The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³
Volume
Volume is the amount of space occupied by a three dimensional object or figure.
The cup has the shape of a cylinder, the volume is:
Volume = π * radius² * height
For cup A:
Volume = π * (10/2)² * 20 = 1570.8 cm³
Let each punch be 1 cm³, the number of cups needed = 1570.8 cm³ / 1 cm³ = 1571
For cup B:
Volume = π * (20/2)² * 20 = 6283 cm³
Let each punch be 1 cm³, the number of cups needed = 6283 cm³ / 1 cm³ = 6283
The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³
Find out more on Volume at: https://brainly.com/question/1972490
4t+7=15
4t=
Subtract 7 from both sides
t=
Divide both sides by 4
Answer:
t=2
Step-by-step explanation:
u subtract 7 from 15 equals 8.
4t=8
divide 4 from 4t and 8
leaves t by it selfs and 8/4=2
t=2
Which is a factor of 6x^2y + 8x^2 − 30y − 40?
Answer:
2(3y+4)(x2−5)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
2(3y+4)(x2−5)
Answer:
2(3y + 4) (x^2 - 5)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Veronika’s five test scores are 59, 80, 95, 88, and 93. If the outlier of 59 is removed, what is the mean absolute deviation of the remaining four test scores?.
find f(2) given f(x) = 2x^2 + 5x - 21
Answer:
f(2) = -3
Step-by-step explanation:
Find f(2) given f(x) = 2x^2 + 5x - 21
Since on the left side, x is replaced by 2, on the right side, x should also be replaced by 2.
f2 = 2(2)² + 5(2) - 21
2 x 2² = 2 x 4 = 8
5 x 2 = 10
8 + 10 = 18
18 - 21 = ?
-(21 - 18 = 3)
-21 + 18 = -3
f(2) = -3
100 points PLEASE HELP!!!
complete the square to rewrite the following equation identify the center and radius of the circle you must show all work and calculations to receive credit. question is in the picture below!!
Answer:
Can you delete an answer
Find the geometric mean of 8 and 253.
The geometric mean of 8 and 253 is;
Geometric mean of numbersAccording to the question;
The task requires that the geometric mean of 8 and 253 be determined.The geometric mean of a two numbers is the square root the product of the he numbers.
Hence, in this scenario;
The geometric mean of 8 and 253 is;
G.M = √8×253G.M = √2024G.M = 45.
Ultimately, the geometric mean of 8 and 253 is approximately 45.
Read more on geometric mean;
https://brainly.com/question/23483761
by what precent will a fraction increase if its numerator is decreased by 30% and its denomenator is decreased by 50%
Answer:
this might be we wrong but 20
Can someone please help me!!!
Answer:
-21
Step-by-step explanation:
Each of those lines is -3
If you look at the -10, it goes down 2 lines and goes to -16 meaning that if it only went down one line it would only go to -13
Showing that each line is worth -3
It goes down 2 lines from -16 (-6)
so if you go down 6 from -16 that would get you to -21
The answer is: -18
That is because, on the number line, they already have 2 numbers. They are -10 to -16. To go from -10 to -16, you subtract 2. Since the mark is the same distance away as -10 to -16 on this number line, you would subtract 2 from -16, which would be -18.
5. There are 20 marbles in a jar o blue marbles, 8 green marbles, 4 red marbles, and 2 yellow marbles Jackson randomly picked 3 marbles. All of the marbles he picked were blue
inference. All of the marbles in the jar are blue. Should you defend or challenge the interence.
Defend
Challenge
Answer:
Step-by-step explanation:
I would challenge the inference since we are given the information that there are 6 blue marbles in a 20 marble jar. Picking up 3 blue marbles doesn't guarantee that the rest of the marble are blue
what is the answer to the question:
6x-8y-5x+3y
Answer:
[tex]6x - 8y - 5x + 3y \\ (6x - 5x) + ( - 8y + 3y) \\ = x - 5y[/tex]
PLEASE HELP HELLO PLEASE SOMEONE HELP
the image has the answers do you need me to explain how i did it?
Find the area of the circle to the nearest tenth. Use 3.14 for π.
Answer:
Step-by-step explanation:
Use the formula for area of a circle
A = [tex]\pi r^{2}[/tex]
The diameter is 8ft, if there was only a line from the middle to the edge of the circle, then it would be radius
The radius is half the diameter so divide 8 by two and you get the radius
Plug in the radius into the formula
A = [tex](4ft)^{2} \pi[/tex]
the parenthesis indicate you aren't only squaring the ft, but also the 4
4ft * 4ft = 16[tex]ft^{2}[/tex]
(remember you are also multiplying the unit, in this case feet)
A = [tex]16ft^{2} \pi[/tex]
there aren't parenthesis here, meaning you aren't squaring the 16
A = 50.24[tex]ft^{2}[/tex]
Find the percentage error |sinθ - θ|/sin(θ)*100 this approximation introduces for an angle of 0. 020 radians.
Considering the given angle and the given formula, it is found that the percentage error for an angle of 0.02 radians is of 0.0067%.
What is the percentage angle for an angle?For an angle [tex]\theta[/tex], it is given by the following formula:
[tex]P = 100\frac{|\sin{\theta} - \theta|}{\sin{\theta}}[/tex]
In this problem, the angle is of [tex]\theta = 0.02[/tex], hence:
[tex]P = 100\frac{|\sin{0.02} - 0.02|}{\sin{0.02}}[/tex]
[tex]P = 0.0067[/tex]
The percentage error for an angle of 0.02 radians is of 0.0067%.
More can be learned about percent error at https://brainly.com/question/25224978
Please help i’ll mark
either contradiction or not a linear equation
What is the length of AB?
B
3x
(4X-2
763
A
63
O A. 4
B. 2.
C. 8
D. 6
Answer:
Step-by-step explanation:
4x-2=3x
4x-3x=2
x=2
Answer:
D. 6
Step-by-step explanation:
As the two base angles are equal, this implies that this is an isosceles triangle. This means that the sides opposite the base angles are also equal.
Therefore, AB = BC
⇒ 3x = 4x - 2
⇒ x = 2
If x = 2, then AB = 3 · 2 = 6