To find the midpoint of two points in a coordinate plane, you can use the midpoint formula.
The midpoint formula is the average of the x-coordinates and the average of the y-coordinates of the two given points.
The midpoint formula is:
((x1 + x2)/2 , (y1 + y2)/2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For example, if the two points are (3, 4) and (5, 8), the midpoint would be:
((3 + 5)/2 , (4 + 8)/2) = (4, 6)
So the midpoint between (3, 4) and (5, 8) is (4, 6).
It's important to note that this formula is valid for any dimension, not just 2D, and it can be used to find the midpoint of any two points in space, whether it's in 2D, 3D, 4D and so on.
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please help: If ray AD bisects ∠BAC, find each measure:
∠DAC=
∠BAC=
PL=
BD=
∠DAC = 28°
∠BAC = 56°
PL = 20
BD = 31
What is Bisection?Bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector.
An angle bisector divides an angle into equal angles. If the angle is p°, the two angles made will be (p/2)°. This angle bisector passes through the vertex of an angle.
Example: Consider an Angle ∠ABC = 90°. An angle bisector will cut it into two equal angles of 45° each.
Given, AD bisects ∠BAC
MP = 20
DC = 31
∠BAD = 28°
AD bisects ∠BAC
⇒ ∠BAD = ∠DAC
⇒ ∠DAC = 28°
∠BAC = ∠BAD + ∠DAC
∠BAC = 28° + 28°
∠BAC = 56°
Since, In a figure, sides opposite to the equal angles are also equal
∠BAD = ∠DAC
⇒ BD = DC
⇒ BD = 31
⇒ BD = 31
By the figure,
∠MAP = ∠BAD and ∠PAL = ∠DAC
⇒ ∠MAP = ∠PAL
⇒ MP = PL
⇒ PL = 20
Hence, by the above calculation the measure of ∠DAC = 28°,
∠BAC = 56°, PL = 20, BD = 31.
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Write the expression as the
sine or cosine of an angle.
cos 3x cos x - sin 3x sin x
The solution of the expression will be Cos(3x+x).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Cos 3x os x - Sin 3x Sin xThe solution will be calculated by using the formula:-
Cos(A+B) = (CosA CosB - SinA SInB)
Cos(3x+x). = Cos 3x os x - Sin 3x Sin x
Therefore the solution of the expression will be Cos(3x+x).
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# 8 and # 9 please :))
Answer:
8) y > -x-3
9) One point that is a solution would be (0, 0). One point that is not a solution would be (0, -3).
Step-by-step explanation:
9) We can look at the graph to the left and know that anything shaded is considered to be a solution, thus, (0, 0) would be a solution. While (0, -3) is on the line itself, the inequality only includes numbers greater (to the right) than the line, therefore anything less (to the left) than or equal to the line would not be a solution.
heyy! i’ll give brainliest please help.
Answer: D
Step-by-step explanation:
Answer:
It would be answer c.
Step-by-step explanation:
When elevation is higher, there is less air pressure, which causes air molecules to spread out, and when its spreads out temperature decreases.
At a lower altitude, it is more humid because air molecules are more compact, which causes the temperature to be warmer, so the answer is c.
ewan has 48 tiles and 16 blue tiles.
what is the ratio of white tiles to the number of blue tiles?
give the ratio in the simplest form.
Answer:
3 white to 1 blue
Step-by-step explanation:
16 x 3= 48
So each 3:1
Simplify the expression: x^4 • x^6
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
Mark as brainllest
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
Give other guy brainllest
Find the area. The figure is not drawn to scale. Show work
Answer:
13.8 square feet
Step-by-step explanation:
To find the area of a triangle you use the formula a = 1/2 bh
a = 1/2 (6.9) (4) = 13.8
(simplier to understand) a = 1/2 (6.9) (4) = 27.6 divided by 1/2 = 13.8
What number converts to 10.10%
I guess it's "0.101"
A particle traveled a distance of 9. 0 x 1012 meters at a rate of 1. 8 x 105 meters
per second. If distance = rate x time, how many seconds did it take the particle to
travel the specified distance?
A particle takes 5 × 10^7 sec of time to travel a distance of 9.0 × 10^12 meters at a rate of 1.8 × 10^5 meters.
What is speed?
Speed indicates how quickly something or someone is moving. If one knows how far something has travelled and how long it took to get there, then one can calculate its average speed.
The particle travels at a rate of 1.8 × 10^5 m.
The particle travels a distance of 9.0 × 10^12 m.
Let the time taken for the particle to travel be x.
The formula for calculating the distance traveled by the particle is -
distance = rate × time
time = distance/rate
Plugging in the values in the equation -
x = 9.0 × 10^12/1.8 × 10^5
x = 9.0/1.8 × (10^12-5)
x = 5 × 10^7 sec
Therefore, the time taken by the particle to travel is 5 × 10^7 sec.
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Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Answer:
76.9 UNITS^2
Step-by-step explanation:
The area of the 14 by 15 rectangular shape is 210 square units, and
that of the semicircle is (1/2)(3.14)(7)^2, where 7 is half of the diameter (14).
(1/2)(3.14)(7)^2 = 76.9 UNITS^2
i need help with this question
The average rate of driving from Newyork to Boston is d. 54 mph.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, The distance you drive is proportional to the time.
We know, The arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.
Therefore,
The average rate of driving is,
= (216/4) mph.
= 54 mph.
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Is 2 a happy number?
No, 2 is not a happy number because 2 can not become 1 after a series of stages in which each step 2 is replaced by the sum of its squares
Let's try to first comprehend what numbers are.
An arithmetic value that is calculated and utilized to represent a quantity is called a number. Numeral symbols, such as "3" are used in writing to represent numbers. A number system is a methodical technique to express numbers using digits or other symbols. The numerical system is a helpful collection of numbers that illustrates the number's algebraic and mathematical structure. presents an example that is typical.
Happy numbers If a number leads to 1 after a series of stages in which each step's number is replaced by the sum of its squares, it is said to be happy. For example, if we start with a happy number and keep replacing it with the sum of its squares, we eventually reach 1.
So 2 is not a happy number.
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Find the area of the kite.
6
2
10
16
A=
square units
Answer:
72
Step-by-step explanation:
The area of a kite is half the product (multiplication) of the diagonals.
Each diagonal has length 12, so A = (1/2)(12)(12) = (1/2)(144) = 72.
Note: You can also find the area by finding the areas of the 4 right triangles. By the way, the diagonals are perpendicular, so all 4 triangles are right triangles.
Area of a small triangle: Area = (1/2)(base)(height) A = (1/2)(2)(6) = 6.
Area of a larger triangle: A = (1/2)(10)(6) = 30
Total area: 2 small triangles plus 2 larger triangles A = 2(6) + 2(30) = 72
Questions with Bounds:
1) Andy Mann is building a garden fence out of planks. The planks are 10cm wide to the nearest cm. He needs to make 75 m of fencing altogether, correct to the nearest meter. How many planks does he need to order to make sure he has enough to complete the fence?
A total of 785 planks Andy Mann needs to order to make sure he has enough to complete the fence.
As the planks are 10cm wide to the nearest cm.
The total length of the fencing is = 75 m
From above, we can conclude that,
Range of the planks' lengths: 9.5 cm <= Plank's length < 10.5 cm
Range of fencing needed: 74.5 m <= Fence length < 75.5 m
We should consider the worst-case scenario where all the planks are 9.5 cm.
To complete the job, he only needs 74.5 m in total.
So, the total number of planks needed for completing the Job will be
= (74.5 * 100) / 9.5 = (7.84210*100) = 784.210
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CIRCUMFERENCE OF A CIRCLE
Examples
(i) Find the circumference correct to 1 decimal place.
C = 2tr
5m
Answer:
31.4 m
Step-by-step explanation:
(i) Find the circumference correct to 1 decimal place.
The formula is given as:
C = 2πr
Radius = 5m
Hence,
C = 2 × π × 5m
C = 31.415926536 m
Therefore, the circumference of a circle to 1 decimal place = 31.4 m
2x+4=16
Can someone please help ?
Answer:
x = 3
Step-by-step explanation:
2x + 4 = 16
2x = 12
x = 3
The graph represents an object that is shot upwards from a tower and then falls to the ground. The independent variable is time in seconds and the dependent variable is the object’s height above the ground in meters.
A How tall is the tower from which the object was shot?
B When did the object hit the ground?
C Estimate the greatest height the object reached and the time it took to reach that height. Indicate this situation on the graph.
The area of a sector of a circle is
18 pie cm². The radius of the circle is
6 cm. The angle in the sector is
Answer:
The angle in the sector is 180°.
Because the area of circle is 36 pie cm². So the angle is the half of 360°.
[tex]\boxed{\begin{array}{l} \\ \sf\huge{ \quad \underline{Answer} } \\ \\ \underline{ \underline\textsf{ Area of sector is given by : }} \\ \\ \dashrightarrow \sf{ A = \dfrac{ \theta}{360 \degree} \times \pi {r}^{2} } \\ \\ \dashrightarrow\sf{18 \pi = \dfrac{ \theta}{360 \degree} \times \pi {(6)}^{2} } \\ \\ \dashrightarrow \dfrac{ \theta}{360 \degree} = \dfrac{18 \pi}{ \pi(36)} \\ \\ \dashrightarrow \theta = 360 \degree \times \dfrac{1}{2} \\ \\ \dashrightarrow\theta = 180 \degree \\ \\ \end{array} } [/tex]
How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown
9 non-congruent squares can be drawn.
What is non-congruent squares?Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.
Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.
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Identify the applications that involve percentages. SELECT ALL THAT APPLY.
Commission
Original Sale Price
Retirement
Sales Tax
Loans
Income
Income Tax
here in equation function, John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.
How do equations function?To create an equation, multiplying and dividing are used to separate constants and variables. In an equation, terms in various forms on each side of the equality sign are equal. John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.To create an equation, multiplying and dividing are used to separate constants and variables.
so we have,
John had paid $8.00 an hour and waits tables
Therefore,
In 29 hours, he earns -
[tex]= 40 X 8\\= 320 $[/tex]
Via tups, he earned 210.50$
So, in total he earns
[tex]= 320 + 210.50\\= 530.50 $[/tex]
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How do you find the missing angle of a triangle with all sides?
The missing angle of a triangle where only the measure of all sides are given can be calculated by using the Cosine Law .
What is Law Of Cosine ?
The law of cosine is also known as Cosine Rule. This law is useful in finding the missing information of any triangle.
For example, if you know the lengths of three sides of a triangle , this rule helps to find the angle between the two sides of the triangle.
Let a , b and c be the sides of the triangle and let A , B and C be the angle corresponding to the respective sides .
Then by the Cosine Law the angles are represented as : [tex]CosA = \frac{b^{2} +c^{2} -a^{2} }{2bc}[/tex] ;
[tex]CosB = \frac{c^{2} +a^{2} -b^{2} }{2ac}[/tex] ; [tex]CosC = \frac{a^{2} +b^{2} -c^{2} }{2ab}[/tex] .
Therefore , The Law Of Cosines is used to find the missing angle .
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Mi Morgan i a cience teacher he found that 30% of her 120 tudent are athlete and Mr. Gregory i a math teacher he found that 27 or 15% of hi tudent are athlete
Of the part, the whole, and the percent, a. the exact number of students that are athletes is unknown to Ms. Morgan, which is 36, and b. the total strength of the students is unknown to Mr. Gregory which is 180.
Here we need to know 3 things- the total no. of students each teacher has, the percentage of athletes, and no. of students that are athletes.
a)
As we can see in the case of Ms. Morgan, we know the total strength of the students and the percentage of the students that are Athletes. Hence what we don't know here is the exact number of students that are athletes.
Hence we need to find 30% of 120
= 30/100 X 120
= 36 students.
b)
Here, in Mr. Gregory's case, we know the percentage and the actual number of students that are athletes. Hence, here we don't know the total strength of the students Mr. Gregory has.
Total strength = no. of athletes X 100/percent of athletes
= 27 X 100/15
= 180 students.
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Complete Question
Ms. Morgan is a science teacher. She found that 30% of her 120 students are athletes. Mr. Gregory is a math teacher. He found that 27, or 15%, of his students, are athletes. a. Of the part, the whole, and the percent, which information is still unknown to Ms. Morgan? Find this unknown value. b. Of the part, the whole, and the percent, which information is still unknown to Mr. Gregory? Find this unknown value.
Marking brainliest help please
Answer:
maybe the answers are: no, yes, yes.
Step-by-step explanation:
not too sure but I hope this helps and is right :)
i am incredibly sorry if my answers are wrong!
Answer:
A. No B. Yes C. Yes
Step-by-step explanation:
A. No
B. Yes
C. Yes
find the unit rate! help me with this please!!
Answer:
the answer is 81 rotations per minute
How many terms are there in the expression 2p 3 3p 2 4p 7 *?
The total number of terms which are in the polynomial expression –2p³ – 3p² + 4p + 7 is 4 terms.
A polynomial expression is made up of multiple terms joined either by addition , subtraction or multiplication or division.
The given expression is
–2p³ – 3p² + 4p + 7
If we will break them down in simpler terms we will get ,
–2p³, – 3p², + 4p, + 7
Therefore, number of terms are found to be 4
The terms of an algebraic expression are referred to as the the components of that expression . An algebraic expression can have one or more terms.
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Please help me with the question!
Answer:
i think 45 but im not to sure
Step-by-step explanation:
Answer:
c i think or it might be a
Step-by-step explanation:
Please help!! Pleaseeee
PLEASE HURRY!!!
what's the answer for 1 and 2?
Answer:
C and D
Step-by-step explanation:
l faux off Gabba off KK kk haha BB mm hd h
Solve the inequality for w.
20 ≥ - 4w
Simplify your answer as much as possible.
Answer:
w[tex]\geq[/tex]-5
Step-by-step explanation:
-4w[tex]\leq[/tex]20
4w[tex]\geq[/tex]-20
w[tex]\geq[/tex]-5
(PLEASE HELP AS SOON AS POSSIBLE)
Answer:
G
Step-by-step explanation:
The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)
opt G. (-4,-2)
I don't know...