In most geometry issues, the most popular approach is to utilize a compass and a ruler.
Simply lock that length into the compass by setting it to a setting that is greater than 1/2 but less than the length of the line segment.
The next step is to draw an arc using the compass on the first and second points so that the first and second arcs cross above and below the line segment. Mark the intersections of the two arcs with "up" and "down," "right" or "left," or any other designation.
When a line is drawn between the two arc intersections, it not only bisects the original line segment but also forms a perpendicular line segment to it.
The line segment has now been split into two identical parts. You will have separated the line segment into 4 equal sub-segments if you repeat this process on the first and second sub-segments.
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If square ABCD is dilated by a scale factor of 2 with a dilation center at vertex A, by what factor does the area of the square increase
The area of the square ABCD will increase by a factor of 4
What is transformation"A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Transformations can be divided into four categories: translation, rotation, reflection, and dilation.
In dilation of area of a square by a factor of 2 the effect is increment by a factor of 4
Say a square has side x, area = x²
after dilation, side = 2x, area = 4x²
comparing the two areas
= 4x²/x²
= 4
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Help me please i literally don’t understand this is it obtuse or not?
Answer:
Step-by-step explanation:
obtuse and the reason why is because it is slanted at a 45 degree angleAnswer: Obtuse
Step-by-step explanation:
A right angle is an angle that is aqual to 90°. A 90° angle looks something like this: ∟. An obtuse angle is an angle tha mesures larger than that, like this: ⦦. An Acute angle is an angle that has a smaller angle mesaure than 90°. An acute angle looks smething like this: ⦟. Hope this helps, good luck.
31. A school administrator used the inequality
S≤28 to determine the number of students
to assign to each class. If the administrator
also wants each class to have more than 16
students, what are the possible numbers of
the students in each class?
$1b000x5
NEED HELP ASAP
If a class must have a number of students ≤28 and at the same time greater than 16 then:
16≤S≤28
So the number of students may be: 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28.
PLEASE HELP
answer all the questions down in the link
Thank you
Answer:
1. second option
2. Second option
3. Less than or equal too
4. w+2.3>18
I'm good at inequalities so all of these should be right
what is z=6 8z+9
please help me i am trying to do my homework but this is hard.
Answer:
the answer is z= 39/8 .
Using the sine of cosine law, how do i find X?
Using sine and cosine law, the value of x is 7.2 unit
What is Cosine LawCosine law is a mathematical formula used to calculate the sides and angles of a triangle when the lengths of all three sides are known. It states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides and the cosine of their included angle.
Using cosine law, we can find the length of A which will in turn assist us in finding the value of x
a² = 12² + 10² -2(12)(10) cos80
a² = 202.32
a = √202.32
a = 14.22
Using sine law;
a / sin A = x / sin X
Substituting the values into the formula
14.22 / sin 80 = x / sin 30
x = 14.22sin30 / sin80
x = 7.2
The value of x is 7.2
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Convert to slope intercept form
The function an = -4 + 5(n - 1) in slope intercept form is an = 5n - 9
How to rewrite the equation in slope intercept formFrom the question, we have the following parameters that can be used in our computation:
an = -4 + 5(n - 1)
The slope-intercept form of a linear equation is represented as
an = mn + c
Where the variable m is the slope and the variable c is the y-intercept
So, the first step in solving the question is to open the bracket in an = -4 + 5(n - 1)
This gives
an = -4 + 5n - 5
Add -5 and -9
an = 5n - 9
Hence, the representation of the equation is an = 5n - 9
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A package containing 12 electrical locks, each with a unique key, must be delivered to 16 job site superintendents. How many unique keys will result from the distribution? (a) 192 b. 180 c. 48 d. 28
192 unique keys will result from the distribution.
What is distribution?Distribution is the process of moving goods and services from a producer to a consumer. It involves the coordination of several activities, including transportation, storage, and delivery, in order to ensure the products reach the intended customer in a timely and cost-effective manner. Distribution also involves marketing, which helps identify customer needs and target markets. Finally, distribution requires proper management of the supply chain, so that products are delivered to the right customers when they need them.
Each of the 12 electrical locks will have a unique key, so the total number of unique keys that will result from the distribution will be 12 multiplied by the number of job site superintendents, which is 16. Therefore, the total number of unique keys will be 192.
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PLEASE HELP I WILL GIVE BRAINLIEST TO THE BEST ANSWER
Find the 50th term of the following arithmetic sequence.
3, 10, 17, 24, . . .
Answer:
a₅₀ = 346
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , then
a₅₀ = 3 + (49 × 7) = 3 + 343 = 346
Answer:
The 50th term of the sequence is 346.
Step-by-step explanation:
To find the 50th term of an arithmetic sequence, we need to know the common difference, which is the difference between each term, and the first term.
In this sequence, the common difference is 10 - 3 = 7. The first term is 3. To find the 50th term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference. Plugging in the values we have, we get:
a_50 = 3 + (50 - 1)7
= 3 + 49 * 7
= 3 + 343
= 346
Find the value of x.
Answer:
x = 7
Step-by-step explanation:
42 = 6x
x = 7
6(7) = 42
Answer:
6x = 42 ( being alternate angel)
x = 42/6
x = 7
What is scatter plot method?
We generally use scatter plots to observe the relationship between variables. Dots are used in a scatter plot to represent values for two different numeric variables.
Values for an individual data point are indicated by the position of each dot on the horizontal and vertical axis. A scatter plot represents data points on a two-dimensional plane or on a Cartesian system.
On the X-axis, the independent variable is marked and the dependent variable is marked on the Y-axis. We call these plots as scatter plots or scatter diagrams. Scatter plots can be defined as one of the most useful inventions in statistical graphs. In 1833, it was presented by an English Scientist, John Frederick W. Herschel.
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What’s the x and y intercept to the following equation?
F(x)= x^2 + 4x - 5
The x-intercepts [tex]$${graph}\{x \wedge 2+4 x-5[-20,20,-10,10]\}$[/tex].
What is meant by parabola?Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line. All of the parabola-related ideas are discussed here because it is a crucial component of the conic section topic.
Given a parabola in standard form [tex]$; y=a x^2+b x+c$[/tex]
then the x coordinate of the vertex can be found using
[tex]$x_{\mathrm{vertex}}=-\frac{b}{2 a}$[/tex]
[tex]$f(x)=x^2+4 x-5$[/tex] is in standard form
with a = 1, b = 4, c = -5
[tex]$\Rightarrow x_{\text {vertex }}=-\frac{4}{2}=-2$[/tex]
substitute this value into f(x) for y coordinate
[tex]$y_{\text {vertex }}=(-2)^2+4(-2)-5=-9$[/tex]
vertex =(-2,-9) to obtain the intercepts
Let x = 0, in equation for y-intercept
let y=0, in equation for x-intercepts
[tex]$x=0 \rightarrow y=-5 \leftarrow$[/tex] y-intercept
y=0 [tex]$\rightarrow x^2+4 x-5=0$[/tex]
the factors of -5 which sum to +4 are +5 and -1
[tex]$\Rightarrow(x+5)(x-1)=0$[/tex] equate each factor to zero and solve for x [tex]$x+5=0 \Rightarrow x=-5$[/tex]
[tex]$x-1=0 \Rightarrow x=1$[/tex]
x = -1 and x = -5
x-intercepts [tex]$${graph}\{x \wedge 2+4 x-5[-20,20,-10,10]\}$[/tex].
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A function's x-intercept and y-intercept is x is 2.
What is the process for determining a function's x-intercept and y-intercept?With x = 0, solve for y to determine the y-intercept. It will be said that (0, y). With y = 0, solve for x to determine the x-intercept. It will be said that (x, 0).
In light of this, x=2 is our axis of symmetry.
When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula.
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Whit is the general form of the equation of the given circle with center A
The general form of the equation of the given circle with center A is (x − h)² + (y − k)² = a².
What is a circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The circle with center A
The general form of the equation of a circle is: x2 + y2 + 2gx + 2fy + c = 0.
The equation of the circle is given by (x−h)² + (y−k)² = a²
Here, h and k are the x and y coordinates of the circle and a is the radius of the circle.
Thus, the standard equation of a circle is (x−h)² + (y−k)² = a².
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Simplify: 2.4 x 10−4
0.00024
0.000024
−0.000024
−2.4000
Answer:
0.00024
Step-by-step explanation:
2.4 × 10^-42.4 × 0.00010.00024[18-2+(14-3) - 3]=_
Which operation is done first when solving this
expression?
Answer:
First is (14-3), but then it's addition.
Answer:
The first process in solving out such an equation is first by evaluating or removing the brackets
And then you add or subtract the equation
And I think lastly is bringing your whole answer down for analysis
A large bucket holds 5 gallons of water, which is about the same as 19 liters of water.
A small bucket holds 2 gallons of water. How many liters does it hold?
Answer:
7.57082 or its just 7.5
Find the value of x
Answer:
x = 10
Step-by-step explanation:
from the figure the two added angles are 90°, we solve with an equation
5x + 4 + 3x + 6 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 80 : 8
x = 10
---------------------------
check5 x 10 + 4 + 3 x 10 + 6 = 90
90 = 90
the answer is good
A side of the triangle below has been extended to form an exterior angle of 144°. Find the value of x.
The value of x in the right angle triangle is 54 degrees.
How to find the angle of a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Therefore, exterior angle theorem can be used to find the angle x.
The triangle is a right angle triangle.
A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the angle x using exterior angle theorem.
90 + x = 144
subtract 90 from both sides of the equation
90 + x = 144
90 - 90 + x = 144 - 90
x = 54 degrees
Therefore, the angle x is 54 degrees.
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which number is greater -4 or -2 explain why
Answer:
-2
Step-by-step explanation:
-2 is greater than -4 because on number line the numbers on the left of zero are negative numbers and the numbers which are very close to zero on left side are greater. So -2 is more close to zero than -4 . Hence answer will be
5 plus the square of a number.
Answer:
a² + 5
Step-by-step explanation:
a² = The square of a number.
Then:
Five plus the square of a number is:
a² + 5
The equation of the blue line is y = –x 5. manipulate the orange line by setting the sliders so its slope, m, is –1 and its y-intercept, b, is –3. does the system appear to have a solution after the changes?
The system does appear to have a solution after the changes.
The equation of the orange line after the changes is y = -x - 3. The system appears to have a solution after the changes because the equations for both lines are in the same form. The blue line has a slope of -5 and the orange line has a slope of -1. This means that the lines have the same slope and the same y-intercept. This means that the two lines are parallel and will intersect at the point (-3,3).
To calculate the point of intersection, we can plug in -3 for x in both equations and solve for y.
For the blue line: y = -(-3)^5 = 3
For the orange line: y = -(-3) - 3 = 3
This means that the point of intersection for these two lines is (-3,3). Therefore, the system does appear to have a solution after the changes.
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^3√125x^2y^7
i can’t figure this out
[tex]\sqrt[3]{125 x^2 y^7}\qquad \begin{cases} 125=5\cdot 5\cdot 5\\ \qquad ~~ 5^3\\ y^7=y^{6+1}\\ \qquad y^6 y^1\\ \qquad (y^2)^3 y \end{cases}\implies \sqrt[3]{5^3 x^2 (y^2)^3 y}\implies 5y^2\sqrt[3]{x^2 y}[/tex]
Create a proportion using the form = to represent the following word problem. What is 60% of 20?.
a percent using the form % to represent the following word problem is x=12
What do u mean by percent?
percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage. Related Topics: mathematics percentile.
60 % of 20
60/100 = x/20
cross product
60 * 20 = 100x
divide by 100
1200/100 =x
12=x
60/100 = x/20 x= 12
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pls its 2 am and im dying here
ABCD is a parallelogram where AB = m and BC = n
B,
F is the midpoint of the line BD.
a) Express FB in terms of m and n.
Answer: FB= .25m + .25n
Step-by-step explanation:
So I drew a diagram of what I think it looks like, and this is my best answer. Sorry if it is incorrect.
Rewrite the expression without parentheses.
16m-(5+8m)
Choose the correct answer below.
A. 16m-5+8m
B. 16m+5-8m
C. 16m+5+8m
D. 16m-5-8m
Answer:
D
Step-by-step explanation:
16m-(5+8m)
this expression change like
16m-5-8m
7x-12=4(x-9)-9x This is pre algebra
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Lets solve for x.
[tex]7x-12=4(x-9)-9x[/tex]
Apply the distributive property in [tex]4(x-9)[/tex].
[tex]7x-12=4x-36-9x[/tex]
Subtract [tex]9x[/tex] from [tex]4x[/tex].
[tex]7x-12=-5x-36[/tex]
Subtract [tex]7x[/tex] from both sides of the equation.
[tex]-12=-5x-36-7x[/tex]
Subtract [tex]7x[/tex] from [tex]-5x[/tex].
[tex]-12=-12x-36[/tex]
Add 36 to both sides of the equation.
[tex]24=-12x[/tex]
[tex]-12x=24[/tex]
Divide both sides of the equation by -12.
[tex]x=-2[/tex]
Joel is training for a triathlon and needs to swim a certain distance for today's workout. If he
swims at the rec center pool, he will complete a 300-meter warmup and then swim laps in a
lane that is 20 meters long. If Joel swims at the indoor pool at his gym, he will complete a
200-meter warmup, plus a main set that consists of 40 meters per lap. If Joel swims the
correct number of laps, he can complete the same distance in either pool. How many laps will
that take?
Write a
The days requried for which Jason's workout would be the same in either pool is 5 days.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Here.
Consider the number of days of Jason's workout be x, the total yard he swims be y,
We have that, he swims at the rec center pool, will complete a 200-yard warm-up, and then swim laps in a lane that is 20 yards long.
y = 200 + 20x
Jason swims at the indoor pool at his gym, he will complete a 100-yard warmup, plus the main set that consists of 40 yards per lap.
y = 100 + 40x
Equating both the equation,
200 + 20x = 100 + 40x
40x - 20x = 200 - 100
20x = 100
x = 5 days
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Nasim is going to invest in an account paying an interest rate of 5.8% compounded daily. How much would Nasim need to invest, to the nearest dollar, for the value of the account to reach $27,000 in 5 years?
Nasim needs to invest $20203.5 for the value of the account to reach $27000.
What is compound interest?
It is the interest that a person can earn from a particular amount of deposit money. And the deposit is increased gradually over the time.
How much Nasim need to invest?
given, interest rate = r = 5.8%
final amount = A = $27000
time period elapsed, t = 5 years
number of times interest applied per time period, n= 365 times
as the interest compound daily so per year interest applied = 365 days = 365 times [ as 1 year = 365 days]
we need to determine the initial invested money, P.
From the compound interest formula, A = P (1 +r/n) ∧nt
$27000 = P (1+ 0.058/365) ∧365×5
initial amount P = $20203.5
Nasim needs to invest $20203.5.
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A standard cube is tossed. Find the probability.
P(greater than 1 or less than 2)
The probability of tossing a cube and getting a number greater than 1 or less than 2 is given by the equation P = 0
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of getting a number greater than 1 or less than 2 be represented as P = P ( greater than 1 or less than 2 )
Now , the equation will be
The standard cube is tossed
The total number of outcomes A = { 1 , 2 , 3 , 4 , 5 , 6 }
Now , the number of outcomes where it is greater than 1 be B
B = { 2 , 3 , 4 , 5 , 6 }
The number of outcomes where it is less than 2 be C
C = { 1 }
So , the number of possible outcomes where probability P is greater than 1 or less than 2 is 0
Therefore , the value of P is 0
Hence , the probability is 0
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In theory, prisoner classification occurs at which of the following stages: A. during transfer to another institution B. in preparation for release C, after an inmate encounters problems D. all of these
In theory, Option D. All of these stages occurs at prisoner classification.
Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.
Prisoner Classification ProcessPrisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:
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