Therefore , the solution of the given problem of triangle comes out to be is 22 miles away.
Describe the triangle.Given its three sides and three vertices, a triangles is a polygon. A fundamental geometric shape, it. Triangle ABC refers to a triangle that has the points A, B, and C as its corners. When four parts are not collinear, a solitary plane and triangle are discovered in geometric shapes. Triangles are known as polygons because of their upper right and three corners. A triangle's three points of intersection are referred to as its corners. By multiplying triple triangle angles, 180 degrees can be obtained.
Here,
The given number indicates that FG is 8 & GH is 14.
FG + GH = FH thanks to the segment addition postulate.
In the equation FG Plus GH = FH, 8 should be used in place of FG and 14 should be used in place of GH.
This results in FH = 8 + 14 => FH = 22.
Therefore, is 22 miles away.
Therefore , the solution of the given problem of triangle comes out to be is 22 miles away.
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The complete question is " Find FH in the given triangle FGH where FG=8,GH=14 and the FH is the equal to sum of FG and GH"
Question 4 of 10
What can you say about the end behavior of the function f(x)--4x+6x²-52?
A. The leading coefficient is positive so the left end of the graph
goes down.
B. f(x) is an even function so both ends of the graph go in the same
direction.
C. The leading coefficient is positive so the left end of the graph
goes up.
D. f(x) is an even function so both ends of the graph go in opposite
directions.
The end behavior of the Polynomial f(x) = -4x⁶ + 6x² - 52 is;
B. f(x) is an even function so both ends of the graph go in the same
direction
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
Now, we are given the polynomial;
f(x) = -4x⁶ + 6x² - 52
Let us first test if the polynomial is even;
f(1) = -4(1)⁶ + 6(1)² - 52
f(1) = -50
Similarly;
f(-1) = -4(-1)⁶ + 6(-1)² - 52
f(-1) = -50
Since f(1) = f(-1), we can say that both ends of the graph go in opposite
directions.
Lastly, the leading coefficient is negative because it is -4 and as such it means that the left end goes down.
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Consider the equations y= |x-1 | and y = 3x + 2. The approxirate solution of this system of equations is
Answer:
Point Form: (- 1/4, 5/4)
Equation Form: x = - 1/4, y = 5/4
Step-by-step explanation:
Of india’s more than 1.2 billion population, about _____ percent are muslims.
a) 4
b) 15
c) 26
d) 62
e) 88
An object has a mass of 560 kg and a volume of 8 m3. find the density of the object in kg/m3.
can someone please help me
Answer:
[tex]\frac{13\pi }{9}[/tex] radians
Step-by-step explanation:
to convert degrees to radians
degrees × [tex]\frac{\pi }{180}[/tex]
= 260 × [tex]\frac{\pi }{180}[/tex]
= 26 × [tex]\frac{\pi }{18}[/tex]
= 13 × [tex]\frac{\pi }{9}[/tex]
= [tex]\frac{13\pi }{9}[/tex]
Write an expression that can be used to produce vector b from vector a, and explain how you determined that expression.
The explanation regarding the vector is illustrated below.
How to illustrate the information?It should be noted that vector A with components a, b, c, can be written as (a, b, c) or in terms of unit vectors as ai + bj + ck.
In this case, the letters I, j, and k are the standard symbols for the unit vectors in the x, y, and z directions.
Therefore, if A = (3,4,5( you can write A = 3i + 4j + 5k.
If B = (1, 1, 1), you can write B = I + j + k.
Then A - B is the vector whose component are the difference in each components.
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WILL MAKE BRAINLIEST!!
Find the correct angle measure for angle b in each figure.
_1. 52°
_2. 27°
_3. 32°
_4. 98°
Tickets for a concert were \$5$5dollar sign, 5 for each child and \$8$8dollar sign, 8 for each adult.
Answer:
What exactly is the question
Step-by-step explanation:
There's no clear question.
Which fractions are equal to 2/3?
Check all that are true.
1
3
6
9
4
6
1
6
3
2
Answer:
It's the correct answer
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
Equivalent fractions of 2/3 : 4/6 , 6/9 , 8/12 ,
THX
Don't forget to mark me as brainliest
Fill in the table using this function rule.
The complete table is
x y
-1 -2
0 3
1 8
2 13
How to complete the table?
The function is given as:
y = 5x + 3
On the table, we have
x = -1, 0, 1 and 2
Using the above values, we have:
y = 5(-1) + 3 = -2
y = 5(0) + 3 = 3
y = 5(1) + 3 = 8
y = 5(2) + 3 = 13
So, the complete table is
x y
-1 -2
0 3
1 8
2 13
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PLSSS HELP
Refer to your answers to the questions from Part 2 of Project 1.
A parabola goes through (negative 3, 3) & (1, negative 1). A point is below the parabola at (negative 3, 2). A line above the parabola goes through (negative 3, 4) & (0, 4). A point on the parabola is labeled (x, y).
What is the correct standard form of the equation of the parabola?
Enter your answer below. Be sure to show each step of your work.
The correct standard form of the equation of the parabola is:
[tex](x+3)^{2}[/tex]= 4(y - 3).
What is a parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.
For the given question,
Vertex of parabola is (-3,3)
Thus, the equation of the parabola is:
[tex](x-h)^{2}=4(y-k)[/tex]
[tex](x+3)^{2}[/tex]= 4(y-3)
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A 14 oz bag of flour costs $2.95 and a 28 oz bag of flour costs $6.20. What is the price per ounce of the 14 oz bag of flour?
The price per ounce of the 14 Oz bag of flour is; ¢21.1.
What is the price per ounce of the 14 oz bag of flour?Since it follows from the task content that the 14 Oz bag of flour sells for $2.95 which is equivalent to ¢295 since $1 = ¢100.
It follows that the price per ounce of the 14oz bag of flour is; = ¢295/14 = ¢21.1
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Find n if GCF(n, 40)= 10 and LCM (n, 40)= 280
Answer:
70
Step-by-step explanation:
GCF(x,y)*LCM(x,y)=xy
10*280=40n
2800=40n
70=n
n=70
b. Shawn has 42 points on his computer game. He loses the
next round though which takes away 50 points. How
many total points does Shawn now have?
Answer: -8 points
Step-by-step explanation: because he lost 50, and he originally had 42, a smaller number, the answer will go into the negatives.
42-50= -8, which is how you get the answer!
Answer:
-8
Step-by-step explanation:
42-50 is the same as 50-42, except the answer is negative
There were only 86 confirmed cases of Measles in the year 2000. In 2019, there was a reported 1,350 % increase in confirmed
cases of Measles. How many cases were there in 2019?
Answer:
1161 confirmed cases
Step-by-step explanation:
In 2000 the number of cases was 86
Percent means out of a hundred, so if we divide 1350 by 100 we get 13.5.
So, we must multiply 13.5 and 86 to get the amount of cases in 2019.
13.5*86 = 1161 confirmed cases in 2019
Can someone please help with this question. 20 points up for grabs!!
Based on the railway timetable given, the time the first train reaches Oakengates is 0815.
The time taken to reach Shrewsbury from Telford Central is 22 minutes.
What does the train timetable show?Oakengates is 2 minutes away from Telford Central so when a train leaves the latter and arrives at 0815, this is the first train to Oakengates.
If one left Telford Central at 0852, they would reach Shrewsbury at 0914 to make it:
= 0914 - 0852
= 22 minutes
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What is the volume of the space filled with tissue paper in the packaging box? 81.84 cubic centimeters 105.84 cubic centimeters 198.264 cubic centimeters 222.264 cubic centimeters
The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters
Let l,b,h be the dimensions of small gift box V1 = Volume = l*b*h
= 24cm^3
Dimension of Large box are 2.1l , 2.1b,2.1h
Volume of large box = 2.1 l*2.1b*2.1h
= (2.1)^3*lbh
= (2.1)^3*24
V2 =222.264
Volume filled with tissue paper is V2-V1
222.264 - 24
= 198.264cm^3
Hence The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters
The complete question is shown below
Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty space inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters.What is the volume of the tissue paper in the packaging box?
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Find the volume of the composite figure. Round to the nearest tenth if necessary.
The volume of the given composite solid is 375 m³
Volume of composite solidFrom the question, we are to determine the volume of the composite solid
The volume of the composite solid = Volume of the cuboid + Volume of the triangular prism
Thus,
Volume of the composite solid = (5 × 5 × 13) + 1/2(5 × 4 × 5)
Volume of the composite solid = 325 + 50
Volume of the composite solid = 375 m³
Hence, the volume of the given composite solid is 375 m³
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NEED HELP ASAP
Which of the following correctly demonstrates how to factor x² - y²?
A.(x - y)²
B.(x-y)(x+y)
C.(x+y)(x+y)
D.2(x - y)
Answer:
B.(x-y)(x+y)
Step-by-step explanation:
The factor of x² - y² can be represented by,
A.(x - y)²
INCORRECT:
Translated to (x - y)(x - y) as the exponent says it multiplied by it self
(x - y)(x - y) = x²- 2xy + y² which doesn't match
B.(x-y)(x+y)
Correct!
x times x = x²
-y times y = -y²
x² - y²
C.(x+y)(x+y)
INCORRECT
x times x = x²
y times y = y²
x² + y² which doesn't match as y positive here
D.2(x - y)
INCORRECT
distribute 2 so 2x - 2y which isn't the original
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Please help me on this thanks, I got the right answer but I still don’t understand
His present age is 13 years.
How to solve words problems ?The words problem can be solved as follows:
let
his present age = x
Therefore,
3(x + 5) = 54
Hence,
3(x + 5) = 54
3x + 15 = 54
subtract 15 from both sides
3x + 15 - 15 = 54 - 15
3x = 39
divide both sides by 3
3x / 3 = 39 / 3
x = 13
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How much did Alexa make in 5.5 hours?
Using a proportional relationship, it is found that Alexa makes $146.45 in 5.5 hours.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
The constant in this problem is:
k = 213.6/8 = 427.2/16 = 827.7/31 = 26.7.
Hence her earnings for x hours of work is:
y = 26.7x.
For 5.5 hours of work, her earnings are:
y = 26.7(5.5) = $146.45.
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The table below lists the tallest waterfalls in the world, in feet.
Name/Location Height (ft.) Mutarazi - Zimbabwe 24.99 x 102 Gocta Cataracts - Peru 2.532 x 103 Utigord - Norway 2,625 x 100 Angel - Venezuela .3212 x 104 Espelands - Norway 2.307 x 103 Yosemite - California (USA) 2,425 Monge - Norway 25.4 x 102 Tugela - South Africa 3.11 x 103 **Heights are approximations** [Part 1] List the waterfalls from tallest to shortest.. Show all of your work and/or explain your reasoning. [Part 2] What is the difference between the tallest and shortest heights? Show your work.
The difference between the tallest and shortest heights is 0.787 × 10
StatisticsMutarazi - Zimbabwe 24.99 x 10²Gocta Cataracts - Peru 2.532 x 10³Utigord - Norway 2,625 x 10^0Angel - Venezuela .3212 x 10⁴Espelands - Norway 2.307 x 10⁴Yosemite - California (USA) 2,425Monge - Norway 25.4 x 10²ugela - South Africa 3.11 x 10³From tallest to shortest:
Angel - Venezuela 3.212 x 10⁴Espelands - Norway 2.307 x 10⁴ugela - South Africa 3.11 x 10³Utigord - Norway 2,625 x 10^0Monge - Norway 25.4 x 10²Gocta Cataracts - Peru 2.532 x 10³Mutarazi - Zimbabwe 24.99 x 10²Yosemite - California (USA) 2,425Difference between tallest and shortest heights =
3.212 x 10⁴ - 2,425
= 3.212 x 10⁴ - 2.425 × 10³
= (3.212 - 2.425) × 10^4 - 3
= 0.787 × 10
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The following table shows each of Haruka's final exam scores last semester. Final exam Score on a 100100100-point scale Astronomy 727272 Biology 858585 Physics 929292 Chemistry \large
The mean calculated shows that the Chemistry score will be 87.
How to calculate the score?From the information given, the total scores will be:
= 84 × 4
= 336
The addition of the scores given will be:
= 72 + 85 + 92
= 249
The Chemistry score will be:
= 336 - 249
= 87
Complete question:
If the mean of the data set is 84 points, find Harukas final exam score in Chemistry.
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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
The final step in solving the inequality is to divide through by -2 and flip the sign
Solving InequalitiesFrom the question, we are to determine the final step in solving the inequality
The given inequality and the steps for solving are
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
The final step will be to divide both sides of the inequalities by -2 and then flip the sign
That is,
–6 < –2x
Divide both sides by -2 and flip the sign
3 > x
OR
x < 3
Hence, the final step in solving the inequality is to divide through by -2 and flip the sign
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What is the equation of the translated function, g(x), if f(x) = x2?
a.) g(x) = (x – 4)2 + 6
b.) g(x) = (x + 6)2 – 4
c.) g(x) = (x – 6)2 – 4
d.) g(x) = (x + 4)2 + 6
Answer: dfghj
Step-by-step explanation: xcfvghj
Answer: It's D
Step-by-step explanation:
Right on edge 2022
PLEASE HELP I GIVE 95 POINTS
A group of Advanced Open Water Divers plans to make two dives. The first dive is on a reef in 22 metres of water for 20 minutes. The group then remains on the surface for 1 hour. The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes. What will be the ending pressure group after the second dive
The ending pressure group after the second dive is R.
According to the statement
We have given that the
The first dive is on a reef in 22 metres of water for 20 minutes and The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes.
And we have to find the pressure group after second dive.
So, For this purpose, we know that the
Recreational scuba diving (R) – this diving has prescribed limits, including a depth no greater than 130 fsw, using only compressed air, and never requiring a decompression stop.
From the above situation, we could note that there was a prescribed limit 18m/60ft of water with a bottom time of 30 minutes.
And due to its the ending pressure becomes R.
So, The ending pressure group after the second dive is R.
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Select the correct answer.
Suppose the following function is graphed.
y = 8^5x +4
On the same grid, a new function is graphed. The new function is represented by the following equation.
y = -5^8x+8
Which of the following statements about these graphs is true?
The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).
What is a graph?A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.
How to interpret the graph?Mathematically, the standard form of the equation of a straight line on a graph is given by;
y = mx + c
Where:
x and y are the points.m is the slope.c is the intercept.The condition for perpendicularity.In Mathematics, the condition for perpendicularity of two (2) lines is as follows:
m₁ × m₂ = -1
8/5 × (-5/8) = -1
Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).
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Complete Question:
Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?
A. The graphs intersect at (0,8).
B. The graph of the original function is perpendicular to the graph of the new function.
C. The graph of the original function is parallel to the graph of the new function.
D. The graphs intersect at (0,4).
2. (01.01)
Evaluate 32+(5-2)-4-
O 19
O 16
O 46
24
3
. (1 point)
Kady and Scott both invest £800.
Kady invests in an account that gives 15.2% compound interest per annum.
Scott invests in an account that gives 15.9% simple interest per annum.
After how many years is Kady's investment worth more than Scott's?
Answer:we smoking fredoooooooooo