Answer:
27 inches
Step-by-step explanation:
We can use The Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21.6 ^2 + 16.2^2 = c^2
466.56+262.44 = c^2
729 = c^2
Taking the square root of each side
sqrt(729) = sqrt(c^2)
27 = c
complete the given magic square with consecutive numbers from 6 to 14 having magic constant 30
Step-by-step explanation:
the answer is in the image above
The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30 is.
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
What is a magic square?A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.
Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:
Step 1: Write the partially filled magic square:
Step 2: Calculate the sum of the known numbers:
Step 3: Calculate the sum of the missing numbers:
Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.
We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.
We can check that all rows, columns, and diagonals add up to 30:
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
Learn more about magic square here:
https://brainly.com/question/28675556
#SPJ2
Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
The method used for each calculation
Sarah’s house (2,-5)
The school (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
i) The distance between Sarah's house and the school is 9
ii) The distance between the school and the library is 5
iii) The distance between the library and the park is 9
iv) The distance between the park and Sarah's house is 5
2) The total distance Sarah travels is 28
Step-by-step explanation:
The given coordinates of the locations are;
Sarah's house (2, -5)
The school (2, 4)
Library (-3, 4)
Park (-3, -5)
Sarah's journey is; From the house → The school → Library → Park → House
The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;
d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9
Sarah's house → The school = 9
ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5
The school → Library = 5
iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9
The library → The park = 9
iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5
The park → Sarah's house → 5
2) The total distance = 9 + 5 + 9 + 5 = 28.
ASApppppppppppppppppppppppppppppppppppppp
Answer:
15/8
Step-by-step explanation:
Skip. Flip. Multiply.
- 1/3 becomes 3/1.
3 * 5 is 15.
8 * 1 is 1.
Negatives cancel out.
Answer:
=
[tex] \frac{ 15}{8} [/tex]
That's the answer
48 is exactly divisible by
Answer:
2, 3, 4, 6, 8, 12, 16, 24, 48.
Step-by-step explanation:
Factors of 48 is 2, 3, 4, 6, 8, 12, 16, 24, 48.
48 is exactly divisible by factors of 48.
It costs $10 to play football for one-half hour. How many 10-dollars bills do we need to play football for 6 hours?
Answer:
12
Step-by-step explanation:
how many half hours in 6 hours ?
it is
6/(1/2) = 6/1 / 1/2 = 6×2 / 1/1 = 12 / 1 = 12
help please i’m so desperate
You're fairly close but not 100% correct.
This function is logarithmic simply because of the presence of "log" in the notation. So you're correct with that statement.
However, we have a vertical asymptote and not a horizontal one. Note how the green function approaches but never touches x = 2. This is a vertical electric fence of sorts. This is due to the fact that log(x) cannot have x = 0. So log(x-2) cannot have x = 2. We can't have x < 2 either.
So you'll need to change that '3' to '2' without quotes of course.
The range is correct. The function can spit out any y value we want. So the range is the set of all real numbers, or we could say -infinity < y < infinity which translates to the interval notation you wrote. The function is increasing because we're going uphill when moving to the right.
The domain is not correct. The domain would be x > 2 to represent the possible x inputs. We can plug in anything larger than 2. The inequality x > 2 translates to the interval notation [tex](2, \infty)[/tex]
The end behavior portion is half correct. The left side end behavior should be [tex]\text{ as } x \to 2, \ y \to -\infty[/tex] to represent the idea of getting closer to that electric fence and going off to negative infinity (down the page forever). We don't have x approaching negative infinity because we can't go beyond that fence. The end behavior on the right side is correct.
-------------------
So the answers would be
The function f(x) is a logarithmic function with a vertical asymptote x = 2. The range of the function is [tex](-\infty, \infty)[/tex] and it is increasing on its domain of [tex](2, \infty)[/tex]. The end behavior on the left side is [tex]\text{ as } x \to 2, \ y \to -\infty[/tex] and the end behavior on the right side is [tex]\text{ as } x \to \infty, \ y \to \infty[/tex]
Check out the attached image below.
Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?
Answer:
[tex]\displaystyle d = \sqrt{65}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(3, 8)
Point B(-1, 1)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{65}[/tex]Answer:
8.1
Step-by-step explanation:
the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)
What is the y-intercept of the line 2x-4y=8
Answer:
The y intercept is -2
Step-by-step explanation:
Hi there!
We want to find the y-intercept of the line 2x-4y=8
The y-intercept is the point in where the line passes through the y axis. This means that the value of x at the y intercept is 0.
So substitute 0 as x into the equation
2(0)-4y=8
Multiply
0-4y=8
Simplify
-4y=8
Divide both sides by -2
y=-2
The y intercept is -2. If you need it as a point, it's (0, -2)
Hope this helps!
The doubling time of a population of flies is 5 hours. By what factor does the population increase in 29 hours? By what factor does the population increase in 3 weeks?
Answer:
If it doubles every 8 hours then
population = initial population * 2 ^ (hours / 8)
********************************************---------
after 26 hours
population increases by a factor of
2 ^ (26 / 8) = 9.51365692
************************************************--------
after 1 week, or 168 hours
population increases by a factor of
2 ^ (168 / 8) = 2 ^ 21 = 2,097,152
f(x) = -22 – 14
Find f(9)
Answer:
-4
Step-by-step explanation:
f(9)=-22-14
f(9)=-36
f multiplied by 9divide by 9=-36divide by 9
f=-4
Help Please!!!
Find The Lateral surface area of this cylinder
Answer:
LSA = 56.5 cm²
Step-by-step explanation:
LSA = 2πrh
LSA = 2π(3)(3)
LSA = 56.5 cm²
98 divide by 76
76 multiple by 86
Answer:
98/76= (rounded to the nearest thousandth) 1.289.
1234+1234567912345678901342=?
12345678912345678902576
how do solve this problem
Answer:
vertically opposite angles are equal
3x+112°=5x+100°
112°-100°=5x-3x
12°=2x
12°÷2=2x÷2
6°=x
therefore x=6°
Step-by-step explanation:
hope this is helpful
Answer:
x = 6
Step-by-step explanation:
The 2 angles are vertically opposite and are congruent, so
5x + 100 = 3x + 112 ( subtract 3x from both sides )
2x + 100 = 112 ( subtract 100 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
whose perfect square should be added to the sum of the greatest three-digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32?
The greatest 3 digit prime number is 997 and the smallest 2 digit prime number is 11. 997+11 = 1008
32^2 = 1024
1024-1008 = 16.
root(16) = 4
in which figure , AB || CD . determine x
☝︎☝︎☝︎☝︎☝︎
[tex]{\underline{\fcolorbox{White}{yellow}{ANSWER♥︎}}}[/tex]See the attachment☝︎☝︎☝︎....a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube). what is the maximum number of people needed to fill the room
Answer:
20 people
Step-by-step explanation:
The volume of a cuboid is equal to length * breadth * height.
First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.
Next, the volume is length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so
280cm³/14cm³ = 20 people
Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x
13.6 divided by 0.81 simplified.
Answer:
16.8
Step-by-step explanation:
SOMEONE HELP ME PLEASE
Answer:
0.6/7 is the answer.....
Answer:
what are the answer choices
Step-by-step explanation:
The area of this rectangle is 3x2. What does the coefficient 3 mean in terms
of the problem?
width x
length 3x
Answer:
the answer is 3x the width
A ball is thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.
A 2-column table with 6 rows titled Height of Ball over Time. The first column is labeled t with entries 0, 1, 2, 3, 4, 5. The second column is labeled h(t) with entries 0, 64, 96, 96, 64, 0.
Which statement is true?
The initial height of the ball is 96 feet.
The ball will hit the ground between 2 and 3 seconds after it was thrown.
The maximum height of the ball must be 96 feet.
The maximum height of the ball was 2.5 seconds after it was thrown.
Answer:
d
Step-by-step explanation:
2021 edge
Answer:
d
Step-by-step explanation:
Please help as soon as possible.
Answer:
C = 37.6991
Step-by-step explanation:
The equation for the circumference of a circle is given: C = π · d
where, d is the diameter of the circle.
Plug in the value of d = 12 and use the π button on the calculator.
C = π · 12
C = 37.6991
Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the table shows she’ll finance $16,950, and her interest rate is 4.3%.
Type the correct answer in the box. Round the answer to the nearest dollar.
Isabel’s monthly loan payment will be about $
.
Answer:
314
Step-by-step explanation:
unit activity
find the two rational number between -2 and-1
Answer:
-3/2, -7/4
Step-by-step explanation:
The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4
HPH (Happy to help)
Make x the subject of the formula y=4x²-2
Step-by-step explanation:
y=4x²-2y+2=4x²√(y+2)/4=xx=√(y+2)/4hope it helps.stay safe healthy and happy....Simplify (x-4)(3x^3-6x+2)
Answer:
Step-by-step explanation:
[tex](x-4) (3x^{3} -6x+2)[/tex]
= [tex]3x^{4} -6x^{2} +2x -12x^{3} +24x-8[/tex]
= [tex]3x^{4} -12x^{3} -6x^{2} +26x-8[/tex]
I hope this helps and the working out is clear. :)
50 points
128:x = 4:3
Solve for x
Answer:
x = 96
Step-by-step explanation:
[tex]\frac{128}{x}: \frac{4}{3}[/tex]
x · 4 = 128 · 3
4x = 384
4x ÷ 4 = 384 ÷ 4
x = 96
2) Find the sum of the first 50 terms of the
following series, to the nearest integer.
6, 10, 14,...
Answer:
The sum of the first 50 is 5200
Step-by-step explanation:The given sequence is a linear sequence.
So, first we calculate the common difference
d=t2-t1
d=10-6=4
The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy
Answer:
5,200
Step-by-step explanation:
6, 10, 14, ...
Sum = [ number of terms(first term+last term) ] / 2
-we know there are 50 terms
-we now the first term is 6
-we need to find the last term
last term = first term + (n-1)* difference between first and second term
last term = 6 + (50-1) * (10-6)
last term = 6 + 49*4 = 202
Sum = [ number of terms(first term+last term) ] / 2
Sum = [ 50 ( 6 + 202) ] / 2 = 5,200
The number -8 lies to the right of ___________ on the number line.
8
0
-6
-12
Answer:
-6
Step-by-step explanation:
-123456789101112131415
What is the value of y?
Answer:
C
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angles
y + y = 130
2y = 130
Divide both sides by 2
y = 130/2
y = 65
Answer:
C.65
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y+y = 130
2y = 130 divide both sides by 2
y = 65
