Answer:
Step-by-step explanation:
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2
Adding and substracting 2x^2y^2
We get
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2
And we know a^2-2ab+b^2=(a-b)^2
So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2
Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2
And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2
Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.
Answer:
4.2 gallons
67.2 cups
Step-by-step explanation:
He had 3 gallons of punch.
He added another 1.2 gallons.
The number of gallons of punch he has now is:
3 + 1.2 = 4.2 gallons
1 gallon = 16 cups
=> 4.2 gallons = 4.2 * 16 = 67.2 cups
He has 67.2 cups
Use the Law of Sines to complete an expression that represents the angle measure x.
Answer:
The length of a is equal to 14.9.
The angle measure of b is equal to 71°.
The length of c is equal to 25.5.
General Formulas and Concepts:
Pre-Calculus
Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]
Step-by-step explanation:
Step 1: Define
Identify given from triangle.
Length corresponding with x°: 14.9
Other given angle: 71°
Length corresponding with 71°: 25.5
Step 2: Find Values
[Law of Sines] Substitute in variables:∴ we have completed the expression using Law of Sines.
---
Topic: Precalculus
Unit: Trigonometry
What is the y-value when x equals -12.
Answer:
-128 it’s on the table
Step-by-step explanation:
HEY!HERE IS UR ANSWER:
So as x=-12
Well then y=-200-6(-12)
y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}
y=-128
HOPE IT MAKES UR DAY BETTER!!
Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−2, y+3).
Triangle ABC on the coordinate plane with the ordered pairs for A as 1,1, B as 2,5, and C as 3,2.
Which coordinates will best represent point B'? (4 points)
Image
(4, 2)
(0, 8)
(−1, 7)
(5, 3)
Answer:
(0,8)
Step-by-step explanation:
(2,5) to (0,8)
(2-2,5+3) --> (0,8)
compare: 6/11 to 5/9 which one is greater
Answer:
5/9 is greater
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
HELP PLEASE
18 miles= how many feet
_________feet
Answer:
18 miles= how many feet
____95,040_____feet
Step-by-step explanation:
happy to help ya:)
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
f = 3
f = 4
f = 5
f = 6
Answer:
f = 3Step-by-step explanation:
Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;
From the trigonometry identity, sin(90-theta) = cos theta.
cos(22f-1) = sin (90-(22f-1))
cos(22f-1) = sin (90-22f+1)
cos(22f-1) = sin (91-22f)... 3
substituting eqn 3 into the original equation given, we will have;
sin (91-22f) = sin(7f + 4)
91-22f = 7f+4
7f+22f = 91-4
29f = 87
f = 87/29
f = 3
A correct option is an option (a)
Given function is,
[tex]cos(22f-1) = sin(7f + 4)[/tex]
As we know the relation,
[tex]cosx=sin(90-x)[/tex]
Now, apply the above relates to the given function.
[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]
So, the required value is [tex]f=3[/tex]
Read More:https://brainly.com/question/16638358
An integer is chosen at random from first hundred natural numbers. The probability that the integer chosen the multiple of 5 is
Answer: 0.2
Step-by-step explanation:
The first hundred natural numbers are 1 to 100.
Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
So in the range, we have 20 multiples of 5.
Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.
we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:
P = 20/100 = 0.2
I'm in summer school and need help. The situation that is best modeled by a discrete graph is
the daily records of the distance of each hotel from home during a cross-country trip.
the height of a wave over time.
the speed of a motorcycle over the distance it travels.
the body temperature of an athlete during a workout.
Answer:
A. The daily records of the distance of each hotel from home during a cross country trip.
Step-by-step explanation:
A discreet graph is one that is composed of unconnected, "scattered" points. The best option is A because B,C and D would all be graphed to show the increase or decrease in values, (function) while the distances of the hotels are not something that you would have to measure!
Answer:
A
Step-by-step explanation:
Because I have big brain and also y’all know what edge is I got it correct
Find the perimeter and area of a 4 m by 12 m
rectangle.
Answer:
P=32m
A=48 m^2
Step-by-step explanation:
if two shorter sides are 4m each and the two longer sides are 12 m
4+4+12+12 to find the total P
Area, time the LENGTH by WIDTH to find the squared meters in the rectangle .
4x12 = AREA
CDEF is a kite and m∠FCE = 46. Find m∠3.
a. 32
b. 44
c. 23
d. 46
HEYA BUDDY
.
.
YOUR ANSWER IS 44
.
HOPE IT WILL HELP YOU UP
HAVE A GREAT DAY
ĶÁŤÉ
A radio host plans to play one song from each of the three CDs he has by a single artist. The first
song will come from a CD that has 12 songs. The second song will be selected from a CD that
includes 14 songs while the third CD has 13 songs.
Using the Fundamental Counting Principal find the number of possible ways to play the
music.
13 poi
Answer:
2184 ways
Step-by-step explanation:
We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.
The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.
The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.
The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.
Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:
Number of possible ways = 12 * 14 * 13 = 2184 ways
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting
Answer:
The answer is A, parallel.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
took the test
CAN SOMEONE PLEASE HELP(IM BAD AT MATH)
Answer:
C
Step-by-step explanation:
like I said, find the square area and subtract the triangles.
28 x 28= 784
Find the dimensions of the triangles. Since the surrounding shape is a square, the legs should be equal in length.
28-11.6=16.4
16.4/2=8.2
8.2 is the leg's length.
8.2*8.2*1/2*4=134.48
Subtract it to the square's area. 784-134.48= 649.52
Now round!
You get C
A square has side lengths of 9 use the Pythagorean theorem to find the length of the diagonal
Answer:
12.73
Step-by-step explanation:
The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.
The diagonal is the hypotenuse.
Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:
[tex]d^2 = a^2 + b^2[/tex]
where d = hypotenuse = diagonal.
Since the other two sides are equal, then:
[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]
The length of the side of the square is 9:
[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]
The length of the diagonal is 12.73
Answer:
12.73
Step-by-step explanation:
a rectangular sheet of paper dimentions 44 cm x 18 cm is rolled along its length and cylinder is formed . find voloume of cylinder so formed
Answer:
1134cm³
Step-by-step explanation:
rolled along the length means the length becomes the height of the cylinder.
length of rectangle = height of cylinder= 44 cm
breadth of rectangle = circumference of top and bottom circles = 18 cm
to find radius = 2πr = 18
2 * 22/7 *r = 18
22/7r = 18/2
22/7r = 9
r = 9*7/22
r= 63/22
Volume of cylinder formula = πr²h
= 22/7 * 63/22 * 63/22 *44
= 63 * 18
= 1134 cm³
(We cannot take it as a hollow cylinder because a rectangular sheet can only have one radius)
Hope this helps you!
Diameter:
17 in
Radius:
Circumference:
What is the circumference of 17inches
If you borrow $500 for 6 years at an
annual interest rate of 7%, how
much will you pay altogether?
If we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.
Given that principal amount is $500 , years are 6 and rate of interest be 7%.
We are required to find the amount that we have to pay after 6 years if we borrow $500.
Compound interest is the interest that is calculated on the principal plus the accumulated interest at that point of time.
Sum after compounding is given as under:
S=P[tex](1+R)^{N}[/tex]
So we have to just put the values to find the money that we have to pay after 6 years.
S=500[tex](1+0.07)^{6}[/tex]
=500[tex](1.07)^{6}[/tex]
=500*1.5
=$750
Hence if we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.
Learn more about compound interest at https://brainly.com/question/24924853
#SPJ1
what is the answer for AC =
Answer:
The length of AC is 2.33 units.
Step-by-step explanation:
You have to use Tangent Rule, tanθ = opposite/adjacent :
[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]
Let oppo. = AC,
Let adj. = BC = 5,
Let θ = 25°,
[tex] \tan(25) = \frac{ac}{5} [/tex]
[tex]ac = 5 \tan(25) [/tex]
[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
see below
Step-by-step explanation:
(x + 1.5)² - 2.25 - 28 = 0
(x + 1.5)² - 30.25 = 0
(x + 1.5)² = 30.25
Identify the polynomial. x3y3
Answer:
It's a Binomial
Step-by-step explanation:
PLEASE HELP!!!!! A teacher is surveying her classes to see how she feels about an activity the class did the day before. Since she has such large classes, she surveys the first 10 students that walk into class. What type of sampling method is used? A.5th Person Sampling B.Convenience Sampling C.Simple Random Sampling D.Systematic Sampling
Answer: Systematic Sampling
Step-by-step explanation: In the systematic sampling every nth person is taken from a population.
The teacher used sampling method that is the Systematic Sampling, The correct answer would be option (D) Systematic Sampling.
What is the Sampling?Sampling is defined as to draw valid conclusions from your results, you have to carefully decide how you will select a sample that is representative of the group as a whole.
What is the Systematic Sampling?The Systematic Sampling is defined as the Simple random sample and systematic sampling are comparable, but systematic sampling is generally a little simpler to carry out. Every person in the population is assigned a number, but instead of assigning numbers at random, people are picked at specified intervals.
For example, The company's workers are all listed in alphabetical order. If choose number 6 as your starting point at random from the first 10 digits. Every tenth individual on the list is chosen starting at number 6 (6, 16, 26, 36, and so on), creating a sample of 100 persons.
According to question,
Teacher is surveying her classes to see how she feels about an activity the class did the day before. Since she has such large classes, she surveys the first 10 students that walk into class.
In given problem having that every student in the population is assigned a number, but instead of assigning numbers at random, students are picked at specified intervals.
Hence, the teacher used sampling method that is the Systematic Sampling.
Learn more about Systematic Sampling here:
https://brainly.com/question/24317913
#SPJ5
turn 3/25 to standard form
Answer:
1.2 x 10^-1 or 12x10^-2
What proportion results in the equation 9 m = 10 n?
Answer:
it might come from 9/n = 10/m
Answer:
9/m=10/n
Step-by-step explanation:
Please please help!!!!
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Click on the correct answer
A.
(-4,1)
B.
(0,-4)
C.
(-4,0)
D.
(1,-4)
Raj was asked to fully simplify this polynomial and put it into standard form.
2x2y + 8x3 – xy2 – 2x3 + 3xy2 + 6y3
Raj simplified the polynomial with a final term of 6y3. What is the first term of the polynomial Raj ended up with?
6x3
8x3
2xy2
3xy2
Step-by-step explanation:
The first term is 6x3
Because he subtracted like terms 8x3 and 2x3
Answer:
6x³
Step-by-step explanation:
2x²y + 8x³ – xy² – 2x³ + 3xy² + 6y³=
6x³+2x²y+2xy²+6y³
Find the interest when the interest is 4.5 times the principal, the principle is p and the time period is 13.5 years
Plz help!!!!
Answer: Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Answer:
Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Thank you!
A cube has an edge length of 7 inches. What is its volume, in cubic inches?
Answer:
343 cubic inches
Step-by-step explanation:
7 times 7 times 7 is 343
What is the value of x?
Answer:
4
Step-by-step explanation:
LJK is a special right triangle with angle measures of 90° 60° 30°
If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2
LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4
En una granja se observa que por 12 patos hay 5 gallinas, por tres gallinas hay 8 pavos ;por 10 pavos hay 9 cerdos. ¿A cuantos patos equivalen 7 cerdos?
Answer:
7 ducks equals 7 pigs.
Step-by-step explanation:
English Translation
On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?
Solution
For 12 ducks, there are 5 chickens
12 ducks = 5 chickens
For 3 chickens, there are 8 turkeys
3 chickens = 8 turkeys
For 10 turkeys, there are 9 pigs
10 turkeys = 9 pigs
We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.
9 pigs = 10 turkeys
8 turkeys = 3 chickens
10 turkeys = (10×3/8) chickens = 3.75 chickens
Hence, 9 pigs = 10 turkeys = 3.75 chickens
9 pigs = 3.75 chickens.
12 ducks = 5 chickens
5 chickens = 12 ducks
3.75 chickens = (3.75×12/5) ducks = 9 ducks.
9 pigs = 3.75 chickens = 9 ducks
9 pigs = 9 ducks.
Hence, 7 pigs = 7 ducks too.
Hope this Helps!!!
