The coordinates of B are (6,0).
The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the segment. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint is given by the coordinates:
((x1 + x2) / 2, (y1 + y2) / 2)In this problem, we're given that the midpoint is (2, 4) and we need to find the coordinates of point B. Since we know the coordinates of the midpoint, we can set up the equation:
((x1 + x2) / 2, (y1 + y2) / 2) = (2, 4)We know that point A = (-2,9) is one endpoint, so we can substitute it into the equation
((-2 + x2) / 2, (9 + y2) / 2) = (2, 4)Solving for x2 and y2, we get x2 = 6 and y2 = 0 which is the coordinates of point B.
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How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that costs $1.00 per pound?
Answer:
kt 5.20 yes
Step-by-step explanation:
5.20
Step-by-step explanation:
Find Arc measure of ABC
Answer:
268°
Step-by-step explanation:
[tex] In\: \odot O, [/tex] AB is diameter.
So, [tex] \widehat{AB} \:\&\: \widehat {BA}[/tex] are semicircular arcs.
[tex] \therefore m\widehat {AB} =m\widehat {BA} = 180\degree [/tex]
[tex] \because \: m\widehat {BC} = m\widehat {BA} - m\widehat {CA} [/tex]
[tex] \therefore \: m\widehat {BC} = (180-92)\degree [/tex]
[tex] \therefore \: m\widehat {BC} =88\degree [/tex]
[tex] \because m\widehat {ABC} = m\widehat {AB}+m\widehat {BC} [/tex]
[tex] \therefore m\widehat {ABC} = 180\degree+88\degree [/tex]
[tex] \therefore m\widehat {ABC} = 268\degree [/tex]
Harry kept a weather journal. The sun was shining four out of five days. On what percent of the days was the sun shining?
Answer:
80%
Step-by-step explanation:
divide the number of days that there was sun (4) by the total number fo days (5), then multiply by 100 to get to a percent.
if you have any questions, leave them in the comments and i will try to answer them, if this helped, please give brainliest.
Answer:
50
Step-by-step explanation:
(#7) A cube has an edge length given by the variable “s” as shown. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s^2 volume= s^3 Find the ratio of the surface area to the volume in simplest terms of “s”.
The ratio of surface area to volume is 6:s
What is a cube?A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
Given that, A cube has an edge length given by the variable “s”. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s² volume= s³
The ratio = 6s² / s³
= 6 / s
Hence, the required ratio is 6:s
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HELP In circle J with m∠HJK=126 and HJ=14 units, find the length of arc HK. Round to the nearest hundredth.
Answer: 39.79
Step-by-step explanation:
126/360 (2pi14)
What is the value of sin cos theta?
If sinθ⋅cosθ = 1/2, then the value of sinθ + cosθ = √2
We know that the trigonometric sine function is nothinng but the ratio of the length of the opposite side of angle to that of the hypotenuse in a right triangle.
And cosine function (cos function) is the ratio of the length of the adjacent side of angle to that of the hypotenuse.
Given that sinθ⋅cosθ = 1/2
2(sinθ⋅cosθ) = 1 .........(1)
We know that trigonometric identity,
sin(2θ) = 2 sinθ cosθ
so equation (1) becomes,
sin(2θ) = 1
We know that sin(π/2) = 1
Comparing with equation sin(2θ) = 1 we get,
2θ = π/2
θ = π/4
Using trigonometric table,
sin(π/4) = 1/√2
and cos(π/4) = 1/√2
The value of sinθ+cosθ would be,
sin(π/4) + cos(π/4)
= (1/√2) + (1/√2)
= 2/√2
= √2
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The complete question is:
If sinθ⋅cosθ=1/2 find the value of sinθ+cosθ
Write with a single exponent:
Answer:
10^-3
10^-7
10^-8
10^-9
10^-6
Step-by-step explanation:
mark me brainliest pls
I got this from Khan Academy.
The function which has greater slope is Function 2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Function 1:
y = -2x + 10
and Function 2:
Slope = (5-10)/( 2-0) = -5/2
So, the Equation of line
(y - 10) = -5/2 (x -0)
y - 10 = -5/2x
y = -5/2x + 10
y= -2.5x +10
So, the slope of Function 1 is greater than slope of function 2.
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what is 12/7 please help and i will be very happy
Answer:
12/7 is a improper fraction
Step-by-step explanation:
as a decimal it is 1.71428571429 and as a mixed number it is 1 5/7
Answer:
its gonna be 1 5/7
Step-by-step explanation:
7 goes into 12 1 time and there is 5 left over so thats gonna be 1 and 5/12 or
1 5/12
52 > 43 + w
is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
**10 POINTS** probablitly for math
Which probability indicates that an event will likely occur?
ОО
A
O
4
Answer:
The answer is c- 1/2
Step-by-step explanation:
A 20% acid solution is mixed with a 70% acid solution to get 50 liters of a 40% solution.
How much of the 70% solution is used?
A)30 liters
B)20 liters
C)25 liters
x = liters of solution at 20%
y = liters of solution at 70%
[tex]\begin{array}{lcccl} &\stackrel{liters}{quantity}&\stackrel{\textit{\% of liters that is}}{\textit{acid only}}&\stackrel{\textit{liters of}}{\textit{acid only}}\\ \cline{2-4}&\\ \textit{Sol'n at 20\%}&x&0.2&0.2x\\ \textit{Sol'n at 70\%}&y&0.7&0.7y\\ \cline{2-4}&\\ mixture&50&0.4&20 \end{array}~\hfill \begin{cases} x + y = 50\\\\ 0.2x+0.7y=20 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{x+y=50\implies x=50-y}\hspace{5em}\stackrel{\textit{substituting on the 2nd equation}}{0.2(50-y) + 0.7y=20} \\\\\\ 10-0.2y+0.7y=20\implies -0.2y+0.7y=10\implies 0.5y=10 \\\\\\ y=\cfrac{10}{0.5}\implies \boxed{y=20}[/tex]
find the volume of this cone. round to the nearest tenth. 15 m 5 m
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {5}^{2} \times 15 \\ = 392.5 \: {m}^{3} [/tex]
Need help with this triangle measure please.
I also need explanation. Thank you-----
one number exceeds another by 4 and their sum is 26.find them with proper language and process.
Answer:
15 and 11
Step-by-step explanation:
First find an equation that represents this scenario.
26 = n + (n-4) works, because the sum (26) is equal to the number (n) plus the number minus 4, which is the other number.
To find both numbers, solve for n:
26 = n + (n - 4)
First, combine like terms.
26 = 2n - 4
Then, add 4 to both sides
30 = 2n
Then divide both sides by 2.
15 = n.
So the number is 15, and the other number is 15-4, which is 11.
How do you find the missing side of a 30 60 90 triangle?
A 30-60-90 triangle is a right triangle where the three interior angles are 30°, 60°, and 90°.
Let, the shorter leg of a 30 60 90 triangle is equal to a. Then:
The second leg is equal to a√3;The hypotenuse is 2a;The area is equal to a²√3/2; andThe perimeter equals a(3 + √3).If we know the shorter leg length, we can find out that:
Longer leg= √3 times of shorter leghypotenuse= twice the shorter legIn the 30 60 90 triangles :
For angles, the ratio is 1:2:3 (30°: 60°: 90°)For sides, the ratio is 1 : √3: 2Read more about the right triangle:
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PLS HELP FAST IM BEING TIMED!!!
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?
A number line going from 80 to 91. A solid circle is at 88. Everything to the left of the circle is shaded.
A number line going from 80 to 91. An open circle is at 88. Everything to the left of the circle is shaded.
A number line going from 80 to 91. An open circle is at 87. Everything to the right of the circle is shaded.
A number line going from 80 to 91. A closed circle is at 87. Everything to the right of the circle is shaded.
Answer:
C
Step-by-step explanation:
hope it helps
Answer:
The answer is C
Step-by-step explanation:
I keep seeing people put c so i am pretty sure that right
During his first 20 picks from a bag of marbles, Mark chose 8 yellow marbles, 9 green marbles, and 3 blue marbles. What is the experimental probability that Mark will choose a green marble on his next pick?
please show work
Answer:
to solve this problem you have to take 9 over 20 (by assuming replacing the marbles)
9/20 is the experimental probability for a green marble to be picked
9/20 = 45%
what is the volume i’m cubic inches of the rectangular prism below
Answer:
The answer would be D!
Step-by-step explanation:
Tell me if i'm wrong
The table lists recommended amounts of food to order for party guests. And are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with drop-in guests?
To calculate the amount of food to order for the graduation party with drop-in guests, you should multiply the number of "full" guests, which is 40 + x/2, by the recommended amounts listed in the table.
To calculate the amount of food to order for the graduation party, you need to take into account the number of guests and the recommended amounts listed on the table. Since the party is for 40 guests and there will also be "drop-in" guests, you need to convert these guests into an equivalent number of "full" guests. To do this, you can divide the number of drop-in guests by 2.
So if there are x drop-in guests, the number of "full" guests will be 40 + x/2.
Now you can use this number of "full" guests to calculate how much of each food item to order. For example, if the table recommends 1/4 lb of meat per guest, you would order (40 + x/2) × 1/4 lb = 10 + x/8 lb of meat.
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What is the volume of Hannah's suitcase in cubic inches?
The volume of Hannah's suitcase in cubic inches is: C: 7938.
How to find the volume?The volume can be determine using this formula
Volume = Length × Width × Depth
Where:
Length = 27 inches
Width = 21 inches
Depth = 14 inches
Let plug in the formula
Volume = 27 inches × 21 inches × 14 inches
Volume = 7,938
Therefore we can conclude that the volume is 7,938.
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What is the Vertex of the graph?
options:
(1,1)
(-1,1)
(0,1)
(1,0)
Answer:
Step-by-step explanation:
(-1, 1): You can see that a vertical line through x = -1 is the center line (axis of symmetry) of this parabolic graph. The vertex lies 1 unit above the x-axis: y = 1.
The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRY! :D
The area of the floor in the scale drawing is 60 inches².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Actual rectangle:
Length = 24 feet
Width = 40 feet
Scale rectangle:
Length = 6 inches
Width = 40/4 = 10 inches
The area of the scaled rectangle.
= Length x Width
= 6 x 10
= 60 inches²
Thus,
The area of the scaled rectangle is 60 inches².
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2. A recent study of 35 students determined that the mean number of hours per week they played video games was 16.6 hours. The standard deviation of the population was 2.8 hours. Find a 95% confidence interval of the population mean.
According to a recent study of 35 students,Population-wide, there was a 2.8-hour standard deviation. 16.60 is the population mean's 95% confidence interval.
What means 95% confidence interval?A Confidence Interval is a zone created using sampled data from a population (sample space) that has a fixed size and follows a specific probability distribution. The interval is built to include a selected population statistic with a certain probability. A range of values above and below the point estimate, within which the true value in the population is likely to reside with 95% confidence, is known as a 95% confidence interval. 5% of the time, the true result might not fall inside the confidence interval.A confidence interval that includes the value of no difference between treatments denotes that there is no statistically significant difference between the therapy under consideration and the control.The result is that P([sample mean] - margin of error [sample mean] + margin of error) = 0.95.To learn more about confidence interval refer to :
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ALGEBRA 2 NEED HELP ASAP
The rule for g(x) = f(x-1)-3 is g(x) = (x-1)⁶-3(x-1)³ - 1
How to write the rule for g(x) = f(x-1)-3?A function is an expression, rule, or law that defines a relationship between an independent variable and a dependent variable. Based on the information given, we can see that the variables that are illustrated in the question are f and g.
In order to write the rule for g(x) = f(x-1)-3 when f(x) = x⁶ - 3x³ + 2, replace x with x-1 in f(x) and subtract 3. That is:
g(x) = f(x - 1) - 3
g(x) = (x-1)⁶ - 3(x - 1)³ + 2 - 3
g(x) = (x-1)⁶ - 3(x - 1)³- 1
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Jenny has red and white balloons. she inflates 2 red balloons for every 3 inflated white balloons. Jenny wants 20 red balloons inflated. How many total balloons will be inflated if jenny inflates the required white balloons
Answer:
50
Step-by-step explanation:
2*10=20 red
3*10=30 white
20+30=50
Answer:
50
Step-by-step explanation:
the ratio is 2:3
so every if she inflates 20 red she inflates 30 white
30 + 20 is 50
3x^2+7x=30______________
(Hint)
by using quadratic formula we can find the value of x
3x^2+7x-30
a=3
b=7
c=-30
PLS HELP ME I ONLY HAV 2 MINS PLSSSSS
Answer:
- 8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
3x(x+x)−6x^2+2^2−12
=6x^2+−6x^2+4+−12
Combine Like Terms:
=6x^2+−6x^2+4+−12
=(6x^2+−6^2)+(4+−12)
=−8
The Yellow Cab Company charges just $1.25 per mile, but it costs $6.00 to get in the cab. Express Cab charges no fee to get in the cab, but $2.00 per mile for the ride. For what number of miles is the cost the same?
Answer: 8 miles
Step-by-step explanation:
1.25m+6=2m
--1.25m. -1.25m
6=.75
6/.75m=8 mile
s