Answer: 15 centimeters
Step-by-step explanation: You cut the rectangle into two triangles following the diagonal. You add 12 squared (144) and 9 squared (81) together. You get 225. You get the square root of 225 which is 15 and that is your answer. Basic solving for the hypotenuse.
If a rectangle is 12 cm long and 9 cm wide. The length of the diagonal will be 15 cm.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees.
A rectangle is 12 cm long and 9 cm wide.
Then the length of the diagonal will be
d² = 12² + 9²
d² = 144 + 81
d² = 225
d = 15 cm
More about the rectangle link is given below.
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Please explain how you would prove that all circles are similar?
Answer:
Shapes are similar when one can be scaled to be like another one. Circles are always the same shape and they only vary in size. A very small circle can be expanded to be the same size as any other without changing it's shape, only size. However this is not true for ovals since they come in different shapes.
Step-by-step explanation:
Solve for x.
X-6
___ =5
3
Answer:
x = 21
Step-by-step explanation:
(x-6) /3 = 5
Multiply each side by 3
(x-6) /3 * 3 = 5*3
x-6 = 15
Add 6 to each side
x-6+6 = 15+6
x = 21
Here is the histogram of the data distribution all websites are One what is the median of this distribution? 7, 9, 5, 4
Answer:
5
Step-by-step explanation:
To find the median of the distribution, since the columns are divided into boxes(segments), we simply count the number of individual boxes
Here, the total number of boxes would be 15 boxes , so we count 7 boxes starting form each of the ends, then the middle box is the median
Counting from each end, the middle box falls on 5 which makes it our median
Answer:
5
Step-by-step explanation:
The awnsers 5
the number 5 is in the middle of all the numbers.
Plz help I’ll mark Brainlynest
Answer:
36.00 units
Step-by-step explanation:
Lengths of horizontal and vertical segments are easily determined by subtracting coordinates or counting grid squares:
ST = 6 -1 = 5
TR = 5 -(-1) = 6
IP = 1 -(-6) = 7
PE = 2 -(-3) = 5
The lengths of the diagonal segments are found using the Pythagorean theorem. Those lengths are the root of the sum of the squares of the rise and run. As before, you can determine those from counting squares or subtracting coordinates.
RI = √(2^2 +5^2) = √29 ≈ 5.385
ES = √(3^2 +7^2) = √58 ≈ 7.616
Then the perimeter is the sum of segment lengths:
Perimeter = ST +TR +RI +IP +PE +ES
= 5 + 6 + 5.385 +7 +5 +7.616 = 36.001
Rounded to hundredths, the perimeter is 36.00 units.
The radius of the large sphere is double the radius of
the small sphere.
How many times is the volume of the large sphere than
the small sphere?
2
4
6
8
Answer:
8 times
Step-by-step explanation:
Volume of sphere 4/3 *pi*r^3
Let small sphere radius r1=r
So radius of large sphere R= 2r (given)
Put all valves in sphere formula and calculate
Small sphere vol v1 = 4/3*pi*r^3......... Let assume eq 1
Large sphere vol= 4/3*pi*(2r)^3
= 4/3*pi* 8r^3
Or = 8v1
substitute 4/3*pi*r^3 value from eq1
Answer:
8
Step-by-step explanation:
Given the ratio of the radii = a : b, then
ratio of volume = a³ : b³
Here the ratio of radii = 1 : 2 , thus
ratio of volume = 1³ : 2³ = 1 : 8
That is the volume of the larger sphere is 8 times the volume of smaller sphere.
find the least positive integer for which the sum of its reciprocal and 9/10 is greater than 4 times the reciprocal
Answer:
4
Step-by-step explanation:
You want the least positive integer x such that ...
1/x +9/10 > 4/x
9/10 > 3/x . . . . subtract 1/x
3/10 > 1/x . . . . .divide by 3
x > 10/3 . . . . . multiply by 10x/3
The least positive integer satisfying this requirement is x = 4.
can someone help me with this question
Answer: a (see explanation below) .b.) rhombus .c) trapezoid in USA or trapezium elsewhere in the world
Step-by-step explanation:
For a.) Draw a horizontal from the bottom vertex, extending 2 units to the right. Then form a triangle by connecting a line from the right end of that line up to the right angle at the top of the original triangle
As per the given diagram
(a) represents a parallelogram not rectangle as shown in construction.
(b) Shape made by three congruent triangles on the grid below represents trapezium.
(c) Four congruent triangle in the grid below represents rhombus.
What are congruent triangles?"Two triangles are said to be congruent if the measure of all the three corresponding sides and angles of one triangle are equal to that of other triangle."
According to the question,
(a) First diagram we have to construct a triangle with given triangle in such a way it forms a parallelogram but not rectangle.
As shown in the constructed diagram.
(b) In the fourth diagram given quadrilateral having one pair of parallel line , therefore trapezium.
(c) In the second diagram all the four sides are congruent and parallel to each other and diagonals bisects each other at 90°, therefore it is rhombus.
Hence, (a) as shown in construction ,(b) trapezium and (c) rhombus is the correct answer.
Learn more about congruent triangles here
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(a) P(1,0). Q(2,-5), R(-3, -5)
What triangle is this
This is a scalene obtuse triangle
An obtuse triangle is a triangle with an angle greater than 90 degrees, A scalene triangle is a triangle that has three different side lengths. You can find the side lengths(2,3,sqrt6) by plotting the triangle and using Pythagorean theorem. It is also visually clear that the triangle is obtuse if it is plotted.
Hope it helps <3
The table represents the function f(x). A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 9, negative 6, negative 3, 0, 3, 6, 9. What is f(3)
Answer:
9
Step-by-step explanation:
Okay, here we have a table with the x and y columns
What we are to find is F(3)
Now this is obtainable from the table
The term f(x) equals values in the table y
We can obtain the values of y from the equation linking x to y
Now the term f(3) can be obtained by checking the value of y or f(x) that corresponds to the value 3
We can see that it is the last term on the x side that can give the value of y we are looking for
So without much further ado we can see that it is the last value on the table y we are also looking at
This equals 9
So F(3) = 9
Answer:
9
Step-by-step explanation:
Hope this helps
solve the equation:
x^2+3x-7=0
give your answer to 2 decimal places
Answer:
x1 = 1.54
x2 = -4.54
Step-by-step explanation:
just use calculator
In a plane, line e is perpendicular to line f, line f is perpendicular to line g, and line h is parallel to line f. which of the following must be true?
Answer:
a). line h is perpendicular to line g
Step-by-step explanation:
In these cases, always make a litle scetch, and just plot what is given.
You can immediately see the answer, which is answer a).
lf h is parallel to f and line f is perpendicular to line g,
then line h is perpendicular to line g.
which graph represents a reflection of f(x)=1/10(10)x accross the y axis
B (second image)
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PLEASE HELP ME!!!
Trevor asks his bank for a loan of $22000 to add a guest
room to his house. His bank offers financing at 7.25%
compounded monthly, for a term of 5 years, payable
monthly. What is Trevor's monthly payment?
Answer:
$526.3 is the monthly payment
Step-by-step explanation:
We use the compound interest formula to calculate the total amount payable on the loan.
Mathematically;
A = P(1 + r/n)^nt
Where A is the amount to pay
P is amount borrowed = 22,000
r is interest rate = 7.25/100 = 0.0725
t is years = 5 years
n is the number of times we compound lee year = 12 times since it’s monthly
Substituting these values, we have
A = 22,000(1 + 0.0725/12)^(12)(5)
A = 22,000(1 + 0.006041666666667)^60
A = $31,578
Monthly payment is total amount/ number of months
There are sixty months in 5 years
So monthly payment is 31578/60 = $526.3
Samir spins a fair coin and records the results. In the first four spins ‘Heads' comes up each time. Samir says, ‘A head is more likely than a tail'. Is he correct? YES/ NO Give a reason for your answer.
Answer:
No
Step-by-step explanation:
A coin has two sides which is the "Head" or the "tail". When a coin is tossed, since it only has two sides, one of either sides can come up because they both have 50-50 chance. The probability of having heads or tails is 0.5 or ½ and either side can come up.
Mathematically,
½ × ½ × ½ × ½ = ¹/₁₆
The probability of getting heads four times in a row when the coin is tossed is ¹/₁₆.
2(x + 3) = x - 4
Can someone help with this one?
Answer:
2(x + 3) = x - 4
2x + 6 = x - 4 (Distribute 2)
x = -10 (Subtract x and 6)
What is the product of 6x – y and 2x – y + 2? 8x2 – 4xy + 12x + y2 – 2y 12x2 – 8xy + 12x + y2 – 2y 8x2 + 4xy + 4x + y2 – 2y 12x2 + 8xy + 4x + y2 + 2y
Answer:
(6x – y) * (2x – y + 2) =12x2 – 8xy + 12x + y2 – 2y
Step-by-step explanation:
(6x – y) * (2x – y + 2)
= 6x*(2x – y + 2) - y*(2x – y + 2)
= 12x^2 - 6xy + 12x - 2xy + y^2 -2y
= 12x^2 + 12x - 8xy - 2y + y^2
Out of the answer choices:
8x2 – 4xy + 12x + y2 – 2y
12x2 – 8xy + 12x + y2 – 2y
8x2 + 4xy + 4x + y2 – 2y
12x2 + 8xy + 4x + y2 + 2y
the second choice is a correct answer.
Answer:
Step-by-step explanation:
B. 12x2 – 8xy + 12x + y2 – 2y
Which of these graphs represents a function?
Answer:
first and second
Step-by-step explanation:
the last 2 have angles wich make that value given by several numbers
Step-by-step explanation: Here were given 4 relations in the form of graphs and were asked to determine which one represents a function.
In this situation, we would use what is called the vertical line test.
In other words, if we can draw a vertical line that passes through
more than one point on the graph, then the relation is not a function.
Notice that in this problem, every vertical line draw on a
graph passes through more than 1 point except for W.
So W represents a function.
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?
Answer: The greatest number of cups of yogurt MOnica can buy is 14.
Step-by-step explanation:
If she need to buy a gallon of milk then it means that $2.50 will be deducted from the money .
Use the the inequality to solve for how many cups of yogurt Monica can buy
1.20x + 2.50 ≤ 20
-2.50 2.50
1.20x ≤ 17.5
x≤14.5833...
which means the greatest number of cups of yogurt Monica can buy is 14.
Answer:
B
Step-by-step explanation:
helppp!!!! please!!!.
Answer:
110
Step-by-step explanation:
A circle has a radius of 6 in. The inscribed equilateral triangle will have an area of:
Answer:6 √3
Step-by-step explanation:
Length of a side of an equilateral triangle inscribed in a circle =
r
√
3
where r is the radius of the circle
Therefore, Area =
√
3
a
2
4
a
=
6
√
3
Answer:
27√3
Step-by-step explanation:
Length of a side of an equilateral triangle inscribed in a circle =
r√3, where r is the radius of the circle
Therefore, Area =
√3 a^2/4
a=6√3
a/Asin = b/Bsin = c/Csin
c = a * sin C/sin A = 6(sin 120/sin 30) = 6√3
what is the solution to the inequality below? 2(x-15)> x/2
Answer:
x>20
Step-by-step explanation:
2(x-15)>x/2
2x-30>x/2
Multiply both sides by 2
4x-60>x
Subtract 4x from both sides
-60>3x
-20<x
Answer: x>20
Answer:
The correct answer is x ≥ 20.
Write an equation for the translation of y=|x| 2 units up
Answer:
Step-by-step explanation:
y = |x|+2 is the equation
the translation of y = |x| 2 units up
Which of the following is not a function?
A. {(4,5), (4,2), (5,4), (2,4)}
B. {(1,2), (2,3), (3,4), (4,5)}
C. {(1,2), (2,3), (3,3), (4,5)}
D. {(4,1), (5,1), (6,1), (7,1)}
Answer:
A
Step-by-step explanation:
it is A for for two outgoing (y)there is one in going(x)
Answer:
The answer is (A)
Step-by-step explanation:
Verify the identity below with work and/ or explanation. 2gh/sin^2θ = 2gh sec^2θ/sec^2θ-1 Thanks!
Answer:
identify is verified, see work below.
Step-by-step explanation:
Verify following identity
2gh/sin^2θ = 2gh sec^2θ/sec^2θ-1
use identity 1+tan^2(θ) = sec^2(θ) on denominator of right-hand-side
right-hand side
= 2gh sec^2(θ) / (sec^2(θ)-1)
= 2gh sec^2(θ) / (tan^2(θ))
= 2gh sec^2(θ) * (cos^2(θ) / sin^2(θ) ) [note: sec^2(θ) = 1/cos^2(θ)]
= 2gh * 1 / sin^2(θ)
= 2gh / sin^2(θ)
= left-hand side
Therefore identify is verified.
Would someone mind explaining to me how to do this? I'm In a real crunch with this.
Answer:
first option
Step-by-step explanation:
The solution to the system of equations given graphically is at the point/s of intersection of the 2 functions.
There is only 1 point of intersection at about x = 1.5
Instructions: Write the explicit rule. Remember to simplify and do not put spaces in your answer. Sequence: 30,0,−30,−60,… 30 , 0 , − 30 , − 60 , … = a n = Answer
Answer:
a(n)=60-30n
Step-by-step explanation:
Equation to use:
a(n) = a(1) + d(n-1)
where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.
In this case, a(1) is 30, d is -30, and n is just n.
If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.
Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.
After graduating, Sallie Handshake’s best job offer will either be with a Big-8 accounting firm for $160,000 a year or as a State Farm agent in Grand Rapids, Michigan, for $40,000 a year. She can increase the probability of the former outcome by studying more, but such studying has its costs. If S represents her amount of studying (where S = 0 is no study and S = 1 is all-out effort), her probability of getting the job with a Big-8 firm just equals S. Her utility depends on how hard she studies and her subsequent annual income Y. She tries to maximize the expected value of the von Neuman-Morgenstern utility function U(S, Y) = Y1/2 − 400S2. If she chooses S to maximize her expected utility, how much will she study?
Answer:
The answer is "S=0.25"
Step-by-step explanation:
Given:
firm value= $160,000
time= $40,000 per year
s=0 to 1
function U(S, Y) = Y1/2 − 400S2
by solve the given value it will gives the study time that is:
S=0.25 that's why it is correct.
Find the greatest common factor of 24, 36, and 48. help
Answer:
24, 36, and 48
Step-by-step explanation:
those numbers are the most high common factor of 24, 36, and 48.
Answer:
12
Step-by-step explanation:
1, 2, 3, 4, 6, 8, 12, 24
1, 2, 3, 4, 6, 6, 9, 12, 18, 36
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
hopefully this helped :3
A straight line passes through the origin and has a gradient of 4. Find the equation
Answer:
y = 4x
Step-by-step explanation:
The slope is 4.
The line passes through (0, 0).
Equation of a line y = mx + b, m is the slope, and b is the y-intercept.
y = 4x + b
Put x and y as 0.
0 = 4(0) + b
0 = b
The y-intercept is 0.
The equation of the line is y = 4x.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if it satisfies the given conditions.
Answer:
a
Step-by-step explanation: