The similarities between sine and cosine graphs are their amplitude and periodicity, while the differences are their starting positions and phase. Overall, the graphs are more similar than different.
Similarities:
The sine and cosine functions have the same amplitude, which is the maximum value of the wave.
Both functions are periodic, meaning they repeat their pattern infinitely.
Differences:
The sine function starts with an amplitude of zero, while the cosine function starts with an amplitude of one.
The sine and cosine functions are out of phase by 90 degrees, meaning they reach their maximum and minimum values at different times.
Overall, the graphs of the sine and cosine functions are more similar than different because they share the same amplitude and shape, but they differ in their starting positions and phase.
Complete Question:
Write the similarities and differences between sine and cosine graphs.
Lines a and b are parallel. What is the value of x? (I will mark brainliest) (please hurry)
A. 5
B. 10
C. 35
D. 55
Answer:
A.5
Step-by-step explanation:
11x+7x+90=180
11x and the unlabeled angle in the triangle are alt. interior and are equal
18x=90
divide both sides by 18
x=5
Janell has a 10 inch by 12 inch photograph. She wants to scan the photograph
Complete Question:
Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.
Correct Answer:
A) [tex](10-x)(12-x)=15[/tex]
B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch
Step-by-step explanation:
a. Write an equation to represent the area of the reduced image.
Let the reduced dimensions is by x , So the new dimensions are
[tex]length=10-x\\breadth=12-x[/tex]
According to question , Area of new image is :
⇒ [tex]Area = \frac{1}{8}Length(breadth)[/tex]
⇒ [tex]Area = \frac{1}{8}(10)(12)[/tex]
⇒ [tex]Area = 15[/tex]
So the equation will be :
⇒ [tex](10-x)(12-x)=15[/tex]
b. Find the dimensions of the reduced image
Let's solve : [tex](10-x)(12-x)=15[/tex]
⇒ [tex]120-10x-12x+x^2=15[/tex]
⇒ [tex]120-22x+x^2=15[/tex]
⇒ [tex]x^2-22x+105=0[/tex]
By Quadratic formula :
⇒ [tex]x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]
⇒ [tex]x = \frac{22 \pm8 }{2}[/tex]
⇒ [tex]x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}[/tex]
⇒ [tex]x = 15 , x =7[/tex]
x = 15 is rejected ! as 15 > 10 ! Side can't be negative
⇒ [tex]x =7[/tex]
Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch
BRAINLIEST!!!!
5. Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function.
(3.9, 5.9), (–1.1, 5.9), (–4.1, 3.9), (–4.1, –2.1)
Given:
Given that the coordinates are (3.9, 5.9), (–1.1, 5.9), (–4.1, 3.9), (–4.1, –2.1)
We need to determine domain and range and also find whether the relation is a function.
Domain:
The domain is the set of all independent x - values.
Thus, we have;
[tex]Domain=\{3.9,-1.1,-4.1\}[/tex]
Thus, the domain is {3.9,-1.1,-4.1}
Range:
The range is the set of all dependent y - values.
Thus, we have;
[tex]Range=\{5.9,3.9,-2.1\}[/tex]
Thus, the range is {5.9,3.9,-2.1}
Function:
We need to determine whether the given relation is a function.
For a relation is said to be a function, if every value of x has only one image in the y - coordinate.
After plotting the graph, it is obvious that the x - value -4.1 has two images 3.9 and 2.1
Hence, the given relation is not a function.
The Sum of The Angles in a Triangle
Answer:
A=20Step-by-step explanation:
180-110=70
90+70=160
180-160=20
Answer:
20°
Step-by-step explanation:
We know that the exterior angle of a triangle is equal to the sum of interior opposite angles.
<B + <A = <C
90° + <A = 110°
<A = 110° - 90°
<A = 20°
Twice one number added to another
number is 18. If the second number is equal
to 12 less than 4 times the first number, find
the two numbers.
First complete the equations below, where x stands for
the first number and y stands for the second number.
2x + y = 18; y = [?]x-[]
Answer:
The Answer is: The first number is 5 and the second one is 8.
please give me brainliest!! :)
Step-by-step explanation:
Let f = first number and s = second number
Twice the first number added to the second number is 18:
2f + s = 18
The second number is equal to 4 times the first number minus 12:
s = 4f - 12
Substitute:
2f + (4f - 12) = 18
6f - 12 = 18
6f = 18 + 12
6f = 30
f = 5, is the first number.
Solve for the 2nd number:
s = 4(5) - 12 = 20 - 12 = 8, is the second number.
Proof:
2f + s = 18
2(5) + 8 = 18
18 = 18
Hope this helps! Have an Awesome Day! :-)
Answer:
y = 8
x = 5
Step-by-step explanation:
This is a system of equations problem
Set up your two conditions:
2x + y = 18
y = 4x - 12
rearrange them to match
y = -2x + 18
y = 4x - 12
combine them by subtracting one equation from the other in such a way that it eliminates one variable. In this case I choose to subtract each value from the second equation from the first one
0 = -6x + 30
solve
6x = 30
x = 5
plug in the x value to solve for y
2(5) + y = 18
10 + y = 18
y = 8
Out of 2,000 students in a high school, 800 of them were randomly selected and asked if they want the school’s mascot to change. Out of those surveyed, 250 want it to change.
With a desired confidence level of 99% and a corresponding z*-score of 2.58, what is the margin of error for this sample survey?
Answer:800
0.31
0.69
4.2
Step-by-step explanation:
Answer:
800
0.31
0.69 (nice)
4.2
Step-by-step explanation:
edgu 2020
Y is equal to 6 less than the product of x and -1.if the output is -15 what is the input
The angle of elevation from L to K measures 24°. If KL = 19, find JL. Round your answer to the nearest tenth.
Answer:
jl = 19cos24 = 17.4. jk = 19sin24 = 7.7.
Step-by-step explanation:
We have a rt. triangle; the hyp is kl
and the hor side is jl. The angle between the hor side and hyp = 24 deg.
The value of JL rounding up to the nearest tenth will be 17.36.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Angle is the measurement of rotation motion for example if you want to measure the length in rotation geometry then it is helpful.
Given that the KL = 19 units, the angle LJK = 24°
Now by a trigonometric function
cos24° = Jl/19
JL = 19 × cos24°
JL = 17.36 hence, the correct answer or the length of the JL is 17.36 units.
For more about the angle
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which equation best fits the graft data
Answer:
I think it's C
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
A graph can only be curved when it has an exponential. B and C are slopes so it cannot be that.
5 liters at $15.25
x liters at $33.55
Answer:
x=2
Step-by-step explanation:
shdhvejsjheuhchsjcyhejc7738
Answer:
11
Step-by-step explanation:
divide 5 and 15.25
then multiply by 33.55
Henry wants to double his cake recipe that uses 2 cup 10tbsp of flour. How much flower will he need?
Answer:
5 cups and 4 tbsp
Step-by-step explanation:
4 cups and 20 tbsp of flour
There are 16 tablespoons in 1 cup
5 cups and 4 tbsp
There's 6,954 cases filed with Surpreme court only 82 were chosen by Surpreme court. what percentage was decided by the court ?
Answer:
1.2%
Step-by-step explanation:
Since only 82 were chosen by supreme Court,
The total is 6954
To calculate the percentage of the case decided by the court
82/6954 ×100
8200/6954
1.179~1.2
So the final answer is 1.2%
Final answer:
The percentage of cases decided by the Supreme Court compared to those filed is approximately 1.18%.
Explanation:
To calculate the percentage of cases decided by the Supreme Court out of the total number of cases filed, we use the formula for finding a percentage: (Number of cases decided / Total cases filed) × 100. In this scenario, the Supreme Court decided 82 cases out of 6,954 cases filed.
So, the calculation would look like this:
(82 / 6,954) × 100 = (0.01179) × 100 ≈ 1.18%
Therefore, approximately 1.18% of the cases filed with the Supreme Court were decided by the court.
Work out the equation of the line which passes through the point (1,-2)and is parallel to the point y=x+4
Answer:
y = x - 3
Step-by-step explanation:
Basically, if the lines are parallel, they have the same slope, right? So that part is already complete
And to get the rest of the equation, plug in the points -2 and 1 into the equation for the x values. Then set the equation to solve for b
After you do that you should get b = -3
The slope is 1 and the y-int is -3
Thank me later ;)
Can someone please answer this math problems thank you
Answer:
The three answers are B,C,F
A=[3 2 0-1] B= [2 .6 8 3] what is matrix A + matrix B?
Answer:
[5 2.6 8 2]
Step-by-step explanation:
For this we simply add the digits
A+ B
[3+2 2+.6 0+8 -1+3]
[ 5 2.6 8 2]
How do you find the square root of a decimal?
How do you find the square root of a fraction?
Answer:
To find the square root of a fraction you first have to find the square root of the numerator and the denominator if your denominator has a square root that is irrational then you multiply the numerator and the denominator by that irrational number.
To find the square root of a decimal you have would have to divide two numbers like 64 and 8
Step-by-step explanation:
Final answer:
To find the square root of a decimal, use a calculator. Convert the fraction to a decimal first and then use the same process.
Explanation:
To find the square root of a decimal, you can use a calculator. Simply enter the decimal number and press the square root button. The calculator will give you the square root as a decimal or a simplified fraction, depending on the value.
For example, to find the square root of 4.45, enter it into the calculator and press the square root button. The calculator will give you the result as approximately 2.107.
To find the square root of a fraction, you can use the same process. Convert the fraction to a decimal by dividing the numerator by the denominator. Then, follow the steps for finding the square root of a decimal using a calculator.
Consider the equation: 3(–4n – 9) = 21
Use the distributive property and properties of equality to solve for n.
n = ???
Answer:
-4
B
The second one.
Step-by-step explanation:
There are 18 offensive players on the hockey team. How many ways can the coach choose a left wing, center, and right wing to start the game?
Answer:
4896 ways
Step-by-step explanation:
We have a total of 18 players, and we want to form groups of three, where the order matters, because there are different roles for each player, so this is a permutation problem.
We solve this problem calculating a permutation of 18 choose 3:
P(18,3) = 18! / (18-3)! = 18! / 15! = 18 * 17 * 16 = 4896
So the coach has 4896 ways to choose the left wing, center and right wing.
Answer: There are 4,896 possible ways
Step-by-step explanation: If there are 18 offensive players on the hockey team, and there is a need to make a selection of three players for three different positions, that means each time you choose one player there is an 18 times 17 (18 x 17) other possibilities for the remaining players. If you choose the next player, there would now be a 17 times 16 (17 x 16) other possibilities for the remaining players, hence we need a formula for the arrangement of 3 players to be chosen from a total of 18.
From the first explanation, if we were to make an arrangement to choose all 18 players the permutation would be given as;
P = 18! (18 factorial)
Which is 18 x 17 x 16 x 15 x 14 x... x 1
However the permutation for selecting just 3 out of the 18 players is given as;
P = 18! ÷ 15!
And this results in;
P = 18 x 17 x 16
P= 4896
Therefore there are 4,896 possible ways
**Note that 18! divided by 15! leaves you with the possible arrangement for 3 persons which is explained as 18 x 17 x 16**
A chef buys a 1-gallon jug of milk for a cookie recipe. He first uses 1/4 of the milk. Then he uses 2/3 of the remaining milk. How much milk is left in the jug?
Answer:
1/12 of a jug is what is left
Points A, B, and C are midpoints of the sides of right
triangle DEF
Which statements are true? Select three options. (The
formula for the area of a triangle is A = bh.)
BC = 6 cm
AC = 5 cm
BA = 4 cm
DE = 10 cm
FD = 6 cm
FE = 8 cm
The perimeter of triangle ABC = 12 cm.
The area of triangle ABC is
the area of triangle DEF.
The correct statements of the triangle are; AC = 5 cm; BA = 4 cm; The perimeter of triangle ABC is 12 cm.
What are the correct statements of the Triangles?As we know that a, b, and c are midpoints of the sides of right triangle that means midpoint divide the side in equal parts.
Now we have to calculate the sides of triangle ABC by using Pythagoras theorem.
Using Pythagoras theorem in ΔACF :
AC² = FA² + CF²
Thus;
AC² = 3² + 4²
AC = √25
AC = 5
Using Pythagoras theorem in ΔDAB, we have;
BA = √(5² - 3²)
BA = 4 cm
Using Pythagoras Theorem, we have;
CB = √(5² - 4²)
CB = 3 cm
Perimeter of ΔABC = Side AB + Side CB+ Side AC
Perimeter of ΔABC = 4 + 3 + 5
Perimeter of ΔABC = 12 cm
Area of ΔABC = (1/2) * 4 * 3 = 6 cm²
Area of ΔDEF = (1/2) * 8 * 6 = 24 cm²
Area of ΔABC = (6/24) * Area of ΔDEF
Area of ΔABC = (1/4) * Area of ΔDEF
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Given the information provided, we can determine the lengths of the sides of triangle ABC and its perimeter and area.
Explanation:Given that points A, B, and C are midpoints of the sides of right triangle DEF, we can determine the lengths of the sides using the information provided.
BC = 6 cmAC = 5 cmBA = 4 cmDE = 10 cmFD = 6 cmFE = 8 cmTo find the perimeter of triangle ABC, we sum the lengths of all three sides: AB + BC + CA. Substituting the given lengths, AB = BA = 4 cm, BC = 6 cm, and CA = AC = 5 cm, the perimeter is 4 cm + 6 cm + 5 cm = 15 cm.
The area of triangle ABC can be determined using the formula A = bh, where b is the base and h is the height. Triangle ABC and triangle DEF are similar triangles, so their areas are proportional. Since point A is the midpoint of DE, half the base of triangle DEF is equal to the base of triangle ABC. Substituting the given length of DE = 10 cm, the base of triangle ABC is 10 cm / 2 = 5 cm. The height of triangle ABC is equal to the length of AC = 5 cm. Therefore, the area of triangle ABC is A = 5 cm * 5 cm = 25 cm².
The Northwestern huskies had a
record of 25 wins and 45 losses.
What was the ratio of wins to
losses?
Answer:
5:9 | 5/9 | 5 to 9
Step-by-step explanation:
you can choose any form
Answer:
25:45 or simplified 5:9
Step-by-step explanation:
to simplify find a common factor and divide both by that number to simplify.
Mark and his three friends ate out at Applebee’s. Their bill totaled $104.70. If they left the server a 20% tip, how much would each person pay splitting the bill evenly?
Answer:
$31.41!
Step-by-step explanation:
Please helpppppp!!!!
Answer:
A. -34.5>x
Step-by-step explanation:
The area is shaded below -34.5, so we know that x has to be less
The last square of the chessboard is square 64.
How many pennies are on square 64?
Answer: C. 2^63
second part: greater than
Step-by-step explanation:
The number of pennies on square 64 is 2^63
What is a square?A square is a quadrilateral, that have its four sides to be equal, and all its angles to be right-angles
From the question, the number of pennies on a square is:
[tex]T_n = 2^{n-1[/tex]
So, we have:
[tex]T_{64} = 2^{64 - 1}[/tex]
Evaluate the difference
[tex]T_{64} = 2^{63[/tex]
Hence, the number of pennies on square 64 is 2^63
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Factor as the product of two binomials.
X^2 – 10x + 21
The requried expression of the given expression which is a product of two binomials is (x - 3)(x - 7).
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial, and trinomial, etc. ax+b is a polynomial.
Here,
Given expression,
x² - 10x + 21 = 0
In order to factor the above expression in two binomial expressions, split the 10x in two where the multiplication of two numbers produces 21 and their difference produces -10x,
So,
y = x² -7x -3x + 21
y= x(x - 7) - 3 (x - 7)
y = (x - 3)(x - 7)
Thus, the requried expression of the given expression which is a product of two binomials is (x - 3)(x - 7).
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Cameron was shooting basketballs during recess. he made 30 baskets and missed 10. based on this information,how many baskets will cameron miss if he shoots a total of 8 times
Answer:
He will miss 2 shots.
Step-by-step explanation:
40 Total Shots
He missed [tex]\frac{10}{40}[/tex]
[tex]\frac{10}{40} = \frac{x}{8} \\40x = 80\\x=2[/tex]
Simplify this expression.
4m
10(m + n)
Answer:
4m+10mn
Step-by-step explanation:
because we can't simplify any further, we can just multiply 10 by m AND n when you do this, its like multipling 2 variblies, like bxh = bh.
help please this is due in a few hours !!
Answer:
31.48 square feet
Step-by-step explanation:
We can find the area of half the figure first.
Half the figure can be split up into the triangle and the semicircle.
Area of triangle:
1/2bh
Plug values in.
1/2(4)(3)
1/2(12)
6
Area of semicircle:
πr^2/2
Radius is half of Diameter.
Radius is 2.5. (5/2)
Plug values in.
π2.5^2/2
6.25π/2
9.7389372262
Round.
9.74
Add the area of triangle to area of semicircle to find area of half the figure.
6+9.74=15.74
Multiply by 2 to find area of whole figure.
15.74*2=31.48
NEED HELP NOW \large{\dfrac{2}{3} \div 5 =} 3 2÷5=start fraction, 2, divided by, 3, end fraction, divided by, 5, equals?
Answer:
no clue
Step-by-step explanation:
Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):
w = m + 6
w = 5m - 10
Which is a possible correct method to find Wilson's and Mary's ages?
Solve W + 6 = 5w - 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m - 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.
Final answer:
The correct method to find Wilson's and Mary's ages with the given equations is to solve the equation m + 6 = 5m - 10 by substitution, which will give you the value of Mary's age (m). After finding m, you can then solve for Wilson's age (w).
Explanation:
Among the provided methods to find Wilson's and Mary's ages based on the given equations w = m + 6 and w = 5m - 10, the correct approach is to solve m + 6 = 5m - 10 to find the value of m, Mary's age. This is due to the fact that by substituting the expression for w from the first equation into the second, we isolate m and solve for it directly. Here is how you'd solve it step by step:
First, substitute w from the first equation into the second equation, resulting in m + 6 = 5m - 10.
Next, rearrange the terms to get all the m terms on one side: 5m - m = 10 + 6.
Then, simplify to find that 4m = 16.
Last, divide both sides by 4 to get m = 4.
Once you have m, substitute it back into either of the original equations to find w. In this case, w = 4 + 6 = 10.
Graphical solutions involving the x or y axis do not apply directly to solving the system of equations and are therefore not correct methods for this particular problem.