Answers
Answer:
No, since 832 ≠ 900, using Pythagorean theorem, the width should be 18 in
Step-by-step explanation:
It is better to type the question in the 'Question' than the fact that you need help so that we can start seeing the problem immediately.
A rectangle has 4 right angles so if l = 24 and w = 16 then you can use the pythagorean theorem to see if this is possible since
24^2 + 16^2 = 30^2 since the diagonal is the hypotenuse of the triangles formed by the diagonal in the rectangle.
576 + 256 ≠ 900, since the left side is 832 and the right side is 900
It would be more correct if the width is 18 since 576 + 18^2 = 900
Related Questions
given JK || MN and L is the midpoint of JM proven JKL = MNL
Answers
The triangle JKL is similar to triangle MNL by AA similarity and all three sides of the triangle are equal, so JKL = MNL.
What is the triangle?One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
JK || MN and L is the midpoint of JM,
As the line JK || MN then,
∠ MNL = ∠ JKL (The alternate angle of the parallel line are equal)
∠ LMN = ∠ LJK (The alternate angle of the parallel line are equal)
∠ JLK = ∠ NLM (The corresponding angle of the parallel line are equal)
Thus, all the sides will also be equal as the angles are equal.
Hence, the area will also be equal.
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ1
Points a, b, and c are collinear. If bc = 8. 5 and ac = 13. 2, select all possible values of ab.
Answers
A B C
•—————-•—————•
We are given that BC=8.5 and AC=13.2, and we must find the length of segment AB. Because line segment AB is unknown, we will denote it as “x.”
Looking at the construction of the line segment, we can see that AC is the whole length of the segment, and BC is is fraction of the segment. So, we can create the following equation:
x+8.5=13.2
We know that segment AB added to segment BC must sum up to 13.2. So, we can solve for x:
Subtract 8.5 from both sides:
x=13.2-8.5
x=4.7
This means the length of segment AC is 4.7. We can plug this value back into the equation to make sure it is correct:
4.7+8.5=13.2
13.2=13.2
So, the length of segment AB is 4.7.
How do we integrate the information?
Answers
Integration services are precise design and implementation tasks that connect the functionality and/or data of two or more applications with existing or future Information systems architecture.
Integrate to combine, mould, or mix into a working or cohesive whole.
information is a stimulus that, to its recipient, has significance in a particular setting. Info that is entered into and stored in a computer is referred to as data in a wide sense. It is possible to read data that has undergone processing, such as formatting and printing, once again as info.
You may include sources into your writing in three different ways:
Quoting: This refers to using another author's identical words in your writing without modifying them.
Giving a summary entails outlining the main ideas of a source.
Putting another author's thoughts into your own words is known as paraphrasing.
For more such question on integrate.
https://brainly.com/question/20156869
#SPJ4
if 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor
Answers
Probability that at least one of them is a universal donar is 0.5263.
What is probability ?
What is probability explain?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Have given,
Probability of getting a universal donor is 0.072.
X be the “random variable” which “describes the number of universal donors” in the “sample of 10 people”.
X follows a “binomial distribution” with n=10 and p=0.072
P(X=x) = ([tex]{n}C^{x}[/tex])*([tex]p^{x}[/tex])*([tex]q^{n-x}[/tex]) ; x=1(1)10 ; q=1-p
Required probability,
P(X≥1)= 1 - P(X=0)
= 1 - (10C0)*([tex]0.072^{0}[/tex])*([tex]0.928^{10}[/tex])
= 1 - 0.4737 = 0.5263
Probability that at least one of them is a universal donar is 0.5263.
To learn more about probability visit : brainly.com/question/30034780
#SPJ4
A snail travels 15m in 3000 seconds. What is the snail's average speed?
Answers
Answer:
the snail was going 0.005m/second
Step-by-step explanation:
15m/3000
Find dy/dx for the function y=3x^0
Answers
Answer:0
Step-by-step explanation:
So this is an exponential equation. And the dy/dx is impossible because anything time 0 is 0. So there is no Rise over run, most commonly known as your slope.
Option. A ) 0 is correct
It is given that,y = 3x⁰ = 3
we have asked to differentiate the function y with respect to x.
for constants, the slope is always zero and the graph looks like a line parallel to the x-axis
[tex]dy/dx[/tex] = 0
therefore, the differentiation of y=3 is 0.
know more about the "slope of a line" here :
brainly.com/question/27877215
How do you write a geometric function?
Answers
A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.
Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem.
There are many shapes in geometry based on their dimensions. Circle, Triangle, Square, Rectangle, Kite, Trapezium, Parallelogram, Rhombus and different types of polygons are the 2-d shapes. Cube, Cuboid, Sphere, Cone and Cylinder are the basic three-dimensional shapes.
Learn more about geometric function to visit this link
https://brainly.com/question/29550967
#SPJ4
How would you define this triangle by its angles and its sides?
Answers
Answer:
Equilateral Triangle
A triangle with all the sides equal is called an equilateral triangle.
Isosceles Triangle
A triangle with at least two sides equal is called an isosceles triangle.
Scalene Triangle
If all the sides of a triangle are unequal, i.e., if the sides are of different lengths, the triangle is called a scalene triangle.
Acute Triangle
An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees, then it is an acute-angled triangle.
Obtuse Triangle
Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse angle, then the triangle is called an obtuse-angled triangle.
Right Triangle
A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse. You may come across triangle types with combined names like right isosceles triangle and such, but this only implies that the triangle has two equal sides with one of the interior angles being 90 degrees.
Consider the functions f(x) = 23x + 5 and g(x) = 32x + 7. what do the slopes indicate about the lines?
Answers
As per the given function, the line of the functions has the same intersecting point (-0.2, 0).
The term function in math refers a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Here we have the consider the functions f(x) = 23x + 5 and g(x) = 32x + 7.
And we need to find the slopes indicate about the lines.
While we looking into the given functions,
f(x) = 23x + 5
g(x) = 32x + 7
Now, we have to identified that the slope of the function f(x) is 23 and the slope of the function g(x) is 32.
And now we have to apply some sample values on the function, then we get the following table of values.
And by using the table we have to plot the graph then we get the graph like the following.
Through graph we have identified that both functions has the same intersecting point (-0.2, 0).
To know more about function here.
https://brainly.com/question/28193995
#SPJ4
What is mode maths example?
Answers
The mode for a particular set of observations is 5 since it occurs the majority of the time.
What is mode?The mode formula is described in statistics as the formula for calculating the mode of a given collection of data. The value that occurs most frequently in a particular set is referred to as the mode, and the mode differs across grouped and ungrouped data sets. The mode may be calculated quite easily. Put all of the numbers in a given set in order, either lowest to highest or highest to lowest, and then count how many times each number appears in the set. The mode is the one that appears the most.
Here,
given set of observation:
5, 7, 8, 5, 7, 6, 9, 5, 10, 6
Mode is the number which occurs the highest time.
So here 5 occurs the highest times(3 times).
So,5 is the mode.
The mode for given set of observation is 5 as it occurs most time.
To know more about mode,
https://brainly.com/question/11943695
#SPJ4
4 sin[ (π/6)x ] + 1 how do you put that as a graph
Answers
Answer:
Step-by-step explanation:
How do you find the degree of a polynomial step by step?
Answers
Put the polynomial in conventional form. Count the number of terms in the polynomial. The degree of the polynomial is one more than the number of terms.
Begin by writing the polynomial in standard form. This means that the terms should be written in descending order of degree, with the coefficient of the leading term being positive. Make sure that each term is separated by a plus or minus sign.Count the number of terms in the polynomial. Include the constant term, even if it is equal to zero.The degree of the polynomial is one more than the number of terms. For example, if the polynomial has two terms, its degree is three. If the polynomial has three terms, its degree is four.If the polynomial has an exponent that is not a whole number, it is called a rational polynomial. The degree of a rational polynomial is equal to the degree of the numerator of the rational expression. If the polynomial has a negative exponent, it is called an inverse polynomial. The degree of an inverse polynomial is equal to the negative of the exponent. If the polynomial is a combination of rational and inverse polynomials, the degree is equal to the highest
Learn more about polynomial here
https://brainly.com/question/11536910
#SPJ4
Kim purchased a new phone for $410, she put down $50 when she purchased it. If she pays a monthly bill of $35, which equation can used to determine how many months, m, it will take her to pay it off?
A 50m + 35 = 410
B 360 = 35 + m
C 35m + 50 = 419
D 50m - 35 = 410
Answers
Answer:
C
Step-by-step explanation:
I'm guessing you misspelled 410 as 419, but the equation is y=mx+b
Kim wants the money amount she puts in to pay off her $410 phone, or in other words, add up to $410.
The constant, or b, is 50. The m is 35, and the x is the months.
35m + 50 = 410
Answer: C. 35m + 50 = 410
Step-by-step explanation:
We know the cost is 410, so it will be = 410
We know that she pays 35 each month, which mean it is 35m
She put down 50 at the beginning, so it is + 50
So our equation is
35m + 50 = 410
a ball of radius 17 has a round hole of radius 3 drilled through its center. find the volume of the resulting solid.
Answers
Refer to the photo taken.
530$ sales 9% commission rate what’s the commission?
Answers
Answer:
$47.70
Step-by-step explanation:
To find what a number is in percent form, divide it by 100
9% ÷ 100 = 0.09
Multiply this by $530 to find the commission
530 × .09 = 47.7
$47.70
What is the vertex form of a line
Answers
The vertex form of line f(x) = ax² + bx + c is y = a(x - h)² + k where the vertex is (h, k).
What is the vertex form of a line and what is its formula?The vertex form of a line is one of the representations of the line in an equation format. Here the line focused on the coordinates of the vertex.
For a line, f(x) = ax² + bx + c, the vertex form is y = a(x - h)² + k; vertex at (h, k).
To convert the general form to the vertex form, the general equation is simplified as below:
y = ax² + bx + c
= ax² + bx + c + b²/4a - b²/4a
= a(x² + b²/4a² + b/a) + (c - b²/4a)
= a(x² + (b/2a)² + 2b/2a) + (c - b²/4a)
= a(x + b/2a)² + (c - b²/4a)
⇒ y = a(x - (-b/2a))² + (c - b²/4a)
Consider -b/2a = h and (c - b²/4a) = k, then we get
y = a(x -h)² + k; vertex form of the given line.
Learn more about the vertex form of a line here:
https://brainly.com/question/10634667
#SPJ1
help me out on this
Answers
The standard form of the complex number is respectively 2√3 i - 15 + √300 i,4 - 7 i, and -14 + 9 i.
What is a complex number?Complex numbers are helpful in finding the square root of negative numbers.
A complex number is the sum of a real number and an imaginary number.
(a)
As per the given, 2√-3 - 15 + √-300
Since, √-1 = i thus,
2√3 i - 15 + √300 i
(b)
As per the given, (15 - 10i)/(2 + i)
By rationalization,
(15 - 10i)/(2 + i) x (2 - i)/(2 - i)
⇒ (30 - 15 i - 20 i + 10 i²)/(2² - i²)
⇒ (30 - 10 - 35 i)/(4 + 1)
⇒ 4 - 7 i
(c)
As per the given, 3(2 + i) - 4(5 - 2i)
⇒ 6 + 3i - 20 + 8i
⇒ -14 + 9 i
Hence "The complex number has the following conventional forms: 2√3 i - 15 + √300 i,4 - 7 i, and -14 + 9 i".
To learn more about complex numbers,
brainly.com/question/10251853
#SPJ1
How many real roots does the quadratic equation x2 5x 7 0 have?
Answers
The equation x^2 - 5x + 7 = 0 has no real roots.
We know that the general form of a quadratic equation is:
ax^2 + bx + c =0
The equation we have is:
x^2 - 5x + 7 = 0
On comparing the given equation with the general form of a quadratic equation, we get that:
a = 1, b= -5, and c = 7
If D = b^2 - 4ac < 0, then the roots of the quadratic equation are imaginary or there are no real roots.
Therefore, b^2 - 4ac = (-5)^2 - 4x1x7 = -3<0.
Hence, we conclude that the nature of the roots of the give equationis imaginary, thus it has no real roots.
The question is incomplete, the complete question is x^2 - 5x + 7 = 0
To know more about real roots:
https://brainly.com/question/506802
#SPJ4
(c) what is the average rate of change of the inductor's energy between t = 0.0 and t = 1.0 s?
Answers
The average rate of change of the inductor's energy between t = 0.0 to t = 1 .0 is 6
The term circuit in defined as an inductor and a resistor is called an RL-circuit here the inductor resists any current change in the circuit and the resistor dissipates energy, then the resulting in the exponential decay of current if no current or voltage source is present.
Here we need to calculate the average rate of change for the inductor's energy,
Here we know that the values of t1 = 0, and t2 = 1
Similarly, here we know the value of flow of current as f(t1) = 12 and f(t2) = 18.
Now, the average rate of change is calculated as
=> [18 - 12]/1 - 0
When we simplify the expression, then we get,
=> 6/1
=> 6
To know more about Average here
https://brainly.com/question/16956746
#SPJ4
CAN ANYONE PLS HELP ME WITG THIS MATHEMATICS????
Answers
Answer:
- 3 19/30----------------------
Simplify the given expression:
1/5 - 3/4 (2 5/9) ÷ 1/2 = Convert mixed number into fraction1/5 - 3/4 × 23/9 × 2 = Cancel 2's and 3's and simplify1/5 - 23/6 = Common denominator is 5*6 = 301/5(6/6) - 23/6(5/5) = 6/30 - 115/30 = Bring to common denominator(6 - 115)/30 = Simplify- 109/30 = Convert fraction into mixed number- 3 19/30 AnswerHow do you find the height of a pyramid if you know the length and slant height?
Answers
The height of pyramid if the length and slant height is known is . h² = S² - (x/2)².
Define the term height of a pyramid?The perpendicular distance between a pyramid's base and apex determines the pyramid's height. The altitude of the pyramid is the length of the line that extends from the base to the apex and is perpendicular to the base.We can employ the Pythagoras theorem to accomplish this as the triangle is right-angled and is created by the slant height (s), its altitude (h), and 1⁄2 of side length of a base (x/2).
As a result, (x/2)² + h² = s².
We can utilize this while figuring out how to find the pyramid's volume given the slant height.
h² = S² - (x/2)²
To know more about the height of a pyramid, here
https://brainly.com/question/12903285
#SPJ4
Which type of polynomial is 3x3?
Answers
Answer:
3x3 is a cubic polynomial
Step-by-step explanation:
Since the highest degree of exponent in 3x3 is 3, the polynomial is a cubic polynomial.
... Hope this helped! Have a wonderful New Year!
what is the value of the limit [tex]\lim_{x \to \5} \sqrt{x^{2}+4 }[/tex]
Answers
Answer:
Refer to the attached photo.
Step-by-step explanation:
The Abubakar family household uses 850 kWh of electricity per month (kWh stands for Kilowatt hour, a measure of electricity usage). They want to decrease their electricity usage, so they begin to decrease their usage by 25 kWh per month. The equation y = –25x + 850 can be used to model this scenario.
How many kWh of electricity will they be using 12 months after they've started doing this?
Answers
Answer:
550 kWh
Step-by-step explanation:
To find the number of kilowatt hours of electricity the Abubakar family will be using 12 months after they've started decreasing their usage, we can substitute 12 for x in the equation y = –25x + 850. This gives us y = –25 * 12 + 850 = –300 + 850 = 550.
Therefore, the Abubakar family will be using 550 kilowatt hours of electricity 12 months after they've started decreasing their usage.
What is the formula to find asymptotes?
Answers
Answer:
Step-by-step explanation:
ormula for finding the asymptote of hyperbola is
y-k =+/- b/a( x-h).
How do you solve three consecutive numbers?
Answers
The solution of three consecutive numbers is the addition of one more value to a base number.
For example, the solution of three consecutive numbers of 5 is 6, 7, 8.
What are consecutive numbers?Consecutive numbers are those numerical values that are found just after a specific number or value, for example consecutive numbers from 5 will be 6 onwards.
When we want to find the consecutive numbers of a base number we only have to do a sum, which we can express in the following way:
Cn = N + n
Cn : Consecutive numberN : Base numbern : Position of the consecutive numberExample:
N = 5
Three consecutive numbers are:
n= 1, 2, 3
Cn = 5 + 1 = 6Cn = 5 + 2 = 7Cn = 5 + 3 = 8Learn more about consecutive numbers in:
https://brainly.com/question/28747515
#SPJ4
the question is in the picture
Answers
Answer:
Sienna
Step-by-step explanation:
Sienna achieved higher scores of 15-17 much more consistently than Willem, who often scored just 12 or 13.
Select all the true statements.if vertical angles are congruent, then two lines cut by a transversal are parallel. if two parallel lines are cut by a transversal, then corresponding angles are congruent. if two parallel lines are cut by a transversal, then alternate interior angles are congruent. points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints. points on a perpendicular bisector of a line segment are never equidistant from the segment’s endpoints.
Answers
By the property of alternate interior angles, Option (1) is the correct statement.
∠XWY ≅ ∠ZYW
Property of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent.
By this property,
Lines XW and YZ are the parallel lines intersected by a transversal WY.
Here, ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.
Therefore, interior alternate angles ∠XWY and ∠ZYW will be congruent.
Hence, Option (1) will be the correct option.
Learn more about of lines here
brainly.com/question/12101094
#SPJ4
Sanjay needs 9090 meters of fence to surround a rectangular garden. The length of the garden is three times its width, ww. Which of these equations give the correct formula for the perimeter?.
Answers
Sanjay needs 90 meters of fence to surround a rectangular garden. The length of the garden is three times its width, w.
What is an equation in maths?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Given that we have all the equations set up, we need to solve for W.
1.) w+3w=90
4w=90
w=22.5
2.) w+3w+w+3w=90
8w=90
w=11.25
3.) 2*w+2*3w=90
2w+6w=90
8w=90
w=11.25
4.) 2*(3w+w)=90
6w+2w=90
8w=90
w=11.25
Now, out of all those which one was different?
A. (w+3w=90)
This equation did not match with all the others is (w+3w = 90)
To learn more about equations click here brainly.com/question/22688504
#SPJ4
in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major?
Answers
There probability two ways to pick two representatives with one majoring in mathematics and the other majoring in computer science.
In order to pick two representatives with one majoring in mathematics and the other majoring in computer science, there are two approaches that can be taken. The first approach is to pick one representative who majors in mathematics first, then the second representative who majors in computer science. The second approach is to pick one representative who majors in computer science first, then the second representative who majors in mathematics. Both of these approaches would yield two representatives, one with a mathematics major and the other with a computer science major. It is important to note that whichever approach is taken, both representatives must be chosen from the same pool of potential representatives. Thus, the pool of potential representatives should be large enough to encompass both mathematics and computer science majors in order to successfully pick two representatives with one majoring in mathematics and the other majoring in computer science.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4