Answer:
Formulas for Arc Length
The formula to measure the length of the arc is –
Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)
Arc Length Formula (if θ is in radians) s = ϴ × r
Arc Length Formula in Integral Form s= ∫ba1+(dydx)2−−−−−−−−s= ∫ba1+(dydx)2−−−−−−−−√dx
an arithmetic sequence has these properties a1=2 an=an-1+5
what are the first four terms in the sequence
a. 2,5,7,12
b.2,5,10,15
c.2,7,12,17
d.2,7,9,14
One of the legs of a right triangle measure 7 centimeters in the other leg measures 3 centimeters. Find the measure of the hypotenuse.
Answer:7.6
Step-by-step explanation:
The distance between two points A and B on latitude 60°S along their parallel of latitude is 2816km. Calculate the angular difference in their longitudes. If A is due west of B and on longitude 20°W, find the longitude of B
Answer:
Part A
The angular difference of their longitude is approximately 50.65°
Part B
The location of B is on the longitude of approximately 30.65°E
Step-by-step explanation:
Part A
The given parameters are;
The location of the points A and B = Along the parallel of latitude 60°
The radius of the Earth, R = 6,371 km
The radius at the 60° parallel of latitude, r = R × cos(θ)
∴ r = 6,371 × cos(60°) = 3,185.5
The circumference of the 60° parallel of latitude, C₆₀ = 2 × π × 3,185.5
The angle subtended by the arc formed by their distance apart, θ₁, is given as follows;
θ₁ = 2,816/(2 × π × 3,185.5) × 360 ≈ 50.65°
The angular difference of their longitude, θ₁ ≈ 50.65°
Part B
Given that the location of A is on the longitude 20°W and A is due west of B, we have the location of B is on the longitude (50.65° - 20°)E = 30.65°E
The location of B is on the longitude of approximately 30.65°E.
please help thxsssssssssssssssssssssssssssss
Answer:
x≤3.5Step-by-step explanation:
=>7-2x≤0=>-2x+7≤0=>-2x≤-7 divide 2 by 2 and by 7=>x≤3.5Which equation describes a line with a slope of 2/5 that passes through (0,4)
Answer: y = 2/5x + 4
Step-by-step explanation:
We will write a point-slope form equation for this line, then simplify it into a slope-intercept form equation.
Given point-slope form:
➜ m is the slope
➜ (x1, y1) is the point given
y - y1 = m(x - x1)
Substitute values in:
y - (4) = (2/5)(x - (0))
Distribute 2/5:
y - 4 = 2/5x - 0
Add 4 to both sides of the equation:
y = 2/5x + 4
Step-by-step explanation:
since we have the slope and a point, we can start with the point-slope form
y - y1 = a(x - x1)
a is the slope, (x1, y1) is the given point.
y - 4 = (2/5)(x - 0) = 2x/5
y = 2x/5 + 4
or
y = (2/5)x + 4
Frank has constructed a tent in the shape of a square pyramid.
The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge. The height of the tent varies at a rate of 1. 5 feet with the horizontal distance from the left edge.
The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h = |d − | +. The height of the tent is 22. 5 feet at a horizontal distance of feet
The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h = 1.5 d + h0.
The height of the tent is 22. 5 feet at a horizontal distance of 15 feet.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The height of the tent varies at a rate of 1. 5 feet with the horizontal distance from the left edge.
This can be written as -
h = 1.5 d, where d is the distance.
So, the equations that models the situation is -
h = 1.5 d + h0
The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge.
So, when d =20, then h =30.
Plugging the values in the equation -
30 = 1.5 (20) + h0
30 = 30 + h0
h0 = 0
The height of the tent is 22. 5 feet.
So, now h = 1.5 d and h = 22.5.
Equating these two -
22.5 = 1.5 d
d = 22.5/1.5
d = 15
Therefore, the distance value is obtained as 15 feet.
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Factorize 4x squared - 25y squared
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
here we go~
[tex]\qquad \sf \dashrightarrow \: 4x {}^{2} - 25y {}^{2} [/tex]
[ identity : a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: (2x) {}^{2} - (5y) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 5y)(2x - 5y)[/tex]
1. If 5(x − 6) = − 8, then x = ?
a. -38/5
b. -8/5
c. -2/5
d. 2/5
e. 22/5
Answer:
the answer is e. i hope this helps :)))
a large interquartile range shows the data is
A large interquartile range shows the range in values of the central 50% of the data.
rotation definition math
Answer: a circular movement
Step-by-step explanation: rotation has a central point that stays fixed and everything else moves around that point in a circle.
EX) a full rotation is 360
friend me right quick pls
Answer:
ok ok ok i gotchuu
Step-by-step explanation:
Answer:
ok will do!
Step-by-step explanation:
Find the measure of the missing angles.
Answer:
d=52 e=77 f=51
Step-by-step explanation:
The opposite side of 52 is 52 because they are intersecting 1dk, same thing with 77, and when you have both of those just add all the angles and subtract it from 360
Answer:
d = 52
e = 77
f = 51
Hope this helps!
ILL BRAINLIEST YOU PLEASE HELP ME
Answer
Option A
61 in, 60 in, 11 in. represents three sides of a right triangle
Step-by-step explanation:
By Using Pythagorean Triplet we can say that
61 in, 60 in, 11 in. represents three sides of a right triangle
FOR VERIFICATION ONLY:(11)² + (60)² = (61)²
121 + 3600 = 3721
3721 = 3721
Thus, 3721 = 3721 represents three sides of a right triangle
-TheUnknownScientist
PLEASE HELP AMD SHOW WORKING.
Find the y-intercept of the equation 5x-2y=28
a._14
b.-5/2
c.5/2
d.14
Rewrite the equation in slope-intercept form
5x -2y = 28
Subtract 5x from both sides
-2y = -5x + 28
Divide both sides by -2
Y = 5/2x -14
The y intercept is -14
Answer:
Solution given:
5x-2y=28
5x-28=2y
y=5/2x-14
comparing above equation with y=MX+c
where
c=y intercept=-14
-14 is a required answer.
2.) Una pizza cuesta $12. Alfred compró 4_2/3 pizzas. ¿Cuanto gastara le sobra de $60? a.) $56 b.) $14 c.) $4
Answer:
$56 or $4 left over from $60
$ 56 o $ 4 sobrantes de $ 60
Step-by-step explanation:
4 2/3 pizzas would cost $56
4 2/3 pizzas costarían $ 56
In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides is 3, what is the length of the third side?
Answer:
a^2+b^2=c^2
a^2+9=25(5*5)
therefore ,a^2=25-9=16
√16=4
sides are 4 cm,3 cm,5 cm
Step-by-step explanation:
[tex]4.[/tex]
Step-by-step explanation:
Pythagoras theorem says that "In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides". As the Hypotenuse side is already yet given and one of the side of a triangle value is given. Now we should find the value for other side of a triangle. In order to find the value of other side, we should use the Pythagoras theorem formula.
AC² = AB² + BC²
Let AC be the Hypotenuse side, AB and BC be the other two sides of a triangle.
Given:-
AC = 5, AB = 3, BC = ?
Use Pythagoras theorem formula
AC² = AB² + BC²
5² = 3² + BC²
25 = 9 + BC²
25 - 9 = BC²
16 = BC²
√16 = BC
BC = 4.
Can I please have help? No files please!
Answer:
[tex]J.(x,y)[/tex] → [tex](9x,9y)[/tex]
[tex]--------[/tex]
hope it helps..
have a great day!!
a) If 8* =
1
64
find the value of x.
Answer:
x = -2
Step-by-step explanation:
[tex]8^{x}[/tex] = [tex]\frac{1}{64}[/tex]
So to solve exponent.
8x= 1 /64
log(8x)=log( 1/ 64 ) (Take log of both sides)
x*(log(8))=log( 1 /64 )
x= log( 1 /64 ) / log(8)
x=−2
Hope this helps!
What is the area in square feet for this shape?
Answer:
Area of figure = 68.13 feet² (Approx.)
Step-by-step explanation:
Given:
Length of rectangle = 9 ft
Width of rectangle = 6 ft
Diameter of semicircle = 6 ft
Find:
Area of figure
Computation:
Radius of semicircle = Diameter of semicircle / 2
Radius of semicircle = 6 / 2
Radius of semicircle = 3 ft
Area of figure = Area of rectangle + Area of semicircle
Area of figure = [Length x( Width] + [πr²]/2
Area of figure = [9 x 6] + [(3.14)(3)²]/2
Area of figure = [54] + [(3.14)(9)]/2
Area of figure = [54] + [28326]/2
Area of figure = [54] + [14.13]
Area of figure = 68.13
Area of figure = 68.13 feet² (Approx.)
Please solve this or find an answer key.
Answer:
1 - 2 1/4
2 - 2 2/4 (simplified) 2 1/2
3 - 7 3/11
4 - 2 1/7
5 - 7 3/8
6 - 4 3/10
7 - 6 2/8 (simplified) 6 1/4
8 - 6 10/12 (simplified) 6 5/6
9 - 6 2/4 (simplified) 6 1/2
10 - 4 1/2
11 - 5 1/8
12 - 3 2/3
13 - 6 5/12
14 - 2 3/5
15 - 5 2/3
_______________________________________
1 - 42/5
2 - 20/3
3 - 27/5
4 - 52/7
5 - 10/3
6 - 17/3
7 - 40/11
8 - 28/5
9 - 29/3
10 - 25/3
11 - 86/9
12 - 11/3
13 - 15/2
14 - 5/2
15 - 38/7
Given P(A and B)= 0.09, P(B)= 0.25. FIND P(A given B)
A:0.34
B:0.29
C:0.02
D:0.36
factor the polynomial completely and SHOW WORK i’ve been on it for the past 30 minutes and I want to cry 24x^3-78x^2+45x NO LINKS pls :))
9514 1404 393
Answer:
3(x)(4x -3)(2x -5)
Step-by-step explanation:
First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...
(3x)(8x^2 -26x +15)
Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.
120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12
The sums of these factor pairs are ...
121, 62, 43, 34, 29, 26, 23, 22
The pair with a sum of 26 is highlighted.
Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:
8x^2 -20x -6x +15
Now, the quadratic can be factored by grouping:
= (8x^2 -20x) +(-6x +15)
= 4x(2x -5) +3(-2x +5)
Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...
= (4x -3)(2x -5) . . . . . note the sign gets attached to the 3
So, the complete factorization of the original expression is ...
24x^3-78x^2+45x = 3(x)(4x -3)(2x -5)
How do i show my working when trying to work out 3 1/3 divided by 4?
Answer:
5/6
Step-by-step explanation:
When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.
3 1/3 must be converted to an improper fraction before we can do this, though.
3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.
Now we can divide. Remember 4 is the same thing as 4/1
10/3 ÷ 4/1
Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.
It ends up looking like 10/3 x 1/4
Multiply: 10 x 1 and 3 x 4
It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.
The final answer is 5/6
What is the first thing you do when giving a problem with a number line
Answer:
You first find the number on the number line, and go from there.
Step-by-step explanation:
If it's addition (Ex. 4+12), you would start at 4, and move right 12 spaces. Since the answer is 16, you would land on the 16th space. Think of it as a board game...
If you roll a 6, and you are on space number 4, you move up 6 spaces. This would represent addition. It's the opposite if you land on a "Move Back" space. You land on that space, and you roll a 4. If you are on the 6th space, you go back to the second space. This would represent subtraction. Hope this helps! Mark Branliest, pls!
select a graph that shows the relationship between the height form which the ball is dropped , x, and the height of the first bounce y
Answer:
a?
Step-by-step explanation:
Help I’m stuck on a question
Answer:
3rd one
Step-by-step explanation:
Julie remembered that the 4 digits of her locker combination were 4, 9, 15, and 22, but not their order. What is the maximum
number of attempts Julie has to make to find the correct combination?
Answer:
256
Step-by-step explanation:
4^(4)=256, I'm pretty sure that's the answer. i looked up and after some research found that.
Answer: 256
Step-by-step explanation:
Easiest way is to do 4x4x4x4
Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?
Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:
Odds in favor = probability of event occurring / (1 - probability of event occurring)
In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:
Odds in favor = 0.56 / (1 - 0.56)
= 0.56 / 0.44
= 1.27
So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.
It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.
Step-by-step explanation:
The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11
Math question!!!!!!!!!!
Answer:
A recursive sequence , also known as a recurrence sequence, is a sequence of numbers indexed by an integer and generated by solving a recurrence equation. The terms of a recursive sequences can be denoted symbolically in a number of different notations, such as , , or f[ ], where. is a symbol representing the sequence.
Step-by-step explanation:
I hope this helps?
Answer:
A recursive sequence , a sequence of numbers indexed by an integer and generated by solving a recurrence equation.
Give an example of a quadratic function that has a maximum value. How do you know that it has a maximum value?
An example of a quadratic function that has a maximum value is the parabola defined by the equation y = -(x-3)^2 + 4.
What is quadratic function?A quadratic function is a type of polynomial function that can be written in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which can either open upward or downward depending on the value of the leading coefficient (a).
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It is usually written with an "=" sign between the two expressions, such as y = 2x + 3 or x^2 + y^2 = 1. Equations can be used to model real-world situations, and solving an equation means finding the values of the variables that make the equation true.
We can determine that this function has a maximum value by looking at the leading coefficient of the quadratic term (x^2). In this case, the coefficient is -1, which means that the parabola opens downward. Therefore, since the parabola opens downward, the vertex of the parabola is the highest point of the parabola, which means that it is a maximum point.
Also we can find the vertex of the parabola by using the formula x = -b/2a, in this case x= -0 / 2*-1 = 3/2 =1.5, and using this value in the function, we get the y value which is 4, so the vertex is (1.5,4) which confirms that the function has a maximum value at (1.5,4)
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