Answers
When the diagonals of a trapezium with two parallel bases inside of a circle are drawn, they make the same angle measure with those bases.
Related Questions
What is the sum on 1/9, 2/3, and 5/18?
a. 12/9
b. 19/18
c. 8/30
d. 4/15
Answers
= 1/9 + 2/3 + 5/18
change each fraction to a common denominator; 18 is the lowest common denominator (LCD)
* to change 1/9 to LCD of 18:
18÷9= 2; multiply 2 by numerator of 1; new fraction equals 2/18
STEP 2
= 2/18 + 12/18 + 5/18
add numerators only
= (2 + 12 + 5)/18
= 19/18
ANSWER: B) 19/18
Hope this helps! :)
Acc'rding to the question :-
=> [tex]\dfrac {1}{9} + \dfrac {2}{3} + \dfrac {5}{18}[/tex]
=> [tex]\dfrac{1(2) + 2(6) + 5(1)}{18}[/tex]
=> [tex]\dfrac{2 + 12 + 5}{18}[/tex]
=> [tex]\dfrac{19}{18}[/tex]
Hence,
Th' Correct option is B. [tex]\dfrac{19}{18}[/tex]
~ Hope it helps!
Jane is x years old today. her brother kenny is 4 years older. after seven years their total combined age will be 24 years. write a linear equation for their total combined age after seven years. fine james age today. answer
Answers
James is 13 years old
Factor the expression. 6g^2+11g-35
Answers
Might be a biz help u.
Answer:
=(3g-5)(2g+7)
Step-by-step explanation:
I need help... please...
A scale drawing of a kitchen is shown below. The scale is 1 : 20.
Show your work to determine the area of the room in square feet.
Answers
so the 4X5 room is actual 4(20)X5(20)
80X100
Area = 80X100
Area = 8000 square inches.
It wants square feet though.
For that you simply divide by 144 (since there are 12 inches in a foot for length and 12 inches in a foot for width).
8000/144= 55.55 Square Feet
You could also covert inches to feet before calculating area
Remember it was 80inchesX100inches
80/12=6.66feet
100/12=8.33feet
6.66X8.33= 55.55 square feet
Works both ways.
scale of 1:20 means for every 1 inch on the drawing it is 20 inches in real life
5 inches * 20 = 100 inches = 8.33 feet
4 inches *20 = 80 inches = 6.67 feet
8.33 * 6.67 = 55.56 square feet
How do you write an equation in slope intercept form when the slope is undefined?
Answers
When the slope is undefined, write the equation as x = c, where c is the constant value of the x-coordinate for all points on the vertical line.
When the slope of a line is undefined, it means that the line is vertical. In the slope-intercept form of a linear equation, y = mx + b, m represents the slope of the line. However, when the slope is undefined (infinite), you cannot express it as a finite value m.
For a vertical line passing through a point (a, b), the equation can be written as: x = a.
In this case, there is no slope term, because the line is vertical and does not have a slope in the traditional sense. Instead, the equation simply states that for all points on the line, the x coordinate remains constant at a.
Thus, when the slope is undefined, write the equation as x = c, where c is the constant value of the x-coordinate for all points on the vertical line.
Brent has $3.35 in quarters and dimes. if he has 23 coins in all, find the number of quarters and dimes.
Answers
Which of these triangle pairs can be mapped to each other using a single translation?
pls help need it fast
Answers
Answer:- D shows the triangle pairs which can be mapped to each other using a single translation.
Explanation:-
Translation is a rigid transformation which creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and same.
The translation mapping is given by (x,y)→(x+h,y+k) ,where h is the distance of the x coordinate of the each point of the original figure to the image and k is the distance of the y coordinate of the each point of the original figure to the image.
In figure D we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows the triangle pairs which can be mapped to each other using a single translation.
The Figure 4 is correct as the triangle MNP and CDE can be mapped to each other using a translation.
Further explanation:
Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.
Explanation:
The angle MNP is equal to the angle CDE.
The side PN is equal to the side ED.
The side MN is equal to the side CD.
The translation mapping of a single translation can be expressed as follows,
[tex]\left( {x,y}\right) \Rightarrow \left({x + h,y + k} \right)[/tex]
Here, h represents the distance of translation in x-axis and k represents the distance of translation in y-axis.
In Figure 1 the triangle MNP and CDE cannot be mapped to each other using a single translation.
In Figure 2 the triangle MNP and CDE cannot be mapped to each other using a single translation.
In Figure 3 the triangle MNP and CDE cannot be mapped to each other using a single translation.
In Figure 4 the triangle MNP and CDE can be mapped to each other using a translation.
Hence, the Figure 4 is correct as the triangle MNP and CDE can be mapped to each other using a translation.
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Triangles
Keywords: rotation, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides.
The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the football’s maximum height? Round to the nearest tenth. yds. How far is the football kicked? yds.
Answers
[tex]x=\frac{-1.53}{2*-.03}=25.5[/tex]
Plugging this into the given formula:
[tex]y=-0.03(25.5)^2+1.53(25.5)=19.5075[/tex]
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
[tex]0=-0.03x^2+1.53x=x(-0.03x+1.53)[/tex]
Then by the zero product property (or the no zero divisors rule), we have:
[tex]x=0[/tex] (this is the x value where the ball is kicked from)
[tex]-0.03x+1.53=0[/tex]
[tex]-0.03x=-1.53[/tex]
[tex]x=51[/tex]
So the ball travels 51 yards in total.
Answer:
Maximum height achieved by football = 25.5 yards.
Distance traveled by football 51 yards.
Step-by-step explanation:
Path of a football kicked by a field goal kicker can be modeled by the equation y = -0.03x² + 1.53x.
Where x represents horizontal distance and y represents height of the football.
For maximum, height we will find the [tex]\frac{dy}{dx}[/tex] ( derivative ) of the equation and equate it to zero.
[tex]\frac{d(y)}{dx}[/tex] = [tex]\frac{d}{dx}[/tex] (-0.03x² + 1.53x )
[tex]\frac{dy}{dx}[/tex] = -0.03 × 2x + 1.53
By putting [tex]\frac{dy}{dx}[/tex] = 0
-0.06x + 1.53 = 0
0.06x = 1.53
x = [tex]\frac{1.53}{0.06}[/tex] = 25.5 yards
Therefore, maximum height achieved by the ball is 25.5 yards.
Now for horizontal distance covered by ball y should be 0
-0.03x² + 1.53x = 0
x ( 1.53 - 0.03x ) = 0
0.03x = 1.53
x = [tex]\frac{1.53}{0.03}[/tex] = 51 yards.
Football was kicked 51 yards.
If the sum of five consecutive even integers is t, then, in terms of t, what is the greatest integer?
Answers
x + x +2 + x+4 + x+6 + x + 8 = t
5x + 20 = t
5x = t - 20
and x = (t - 20) / 5
so the greatest integer x + 8 = (t - 20) / 5 + 8 = (t - 20)/5 + 40/5
= (t + 20) / 5 answer
The greatest integer is t/5 + 4 in terms of t.
What are Integers?Integers are numbers which includes the set of natural numbers, o and the negatives of all those natural numbers.
Set of integers are usually denoted as Z.
Let the first even integer be x.
Then the consecutive even integer is x + 2.
Integers are x, x + 2, x + 4, x + 6 and x + 8.
Given, sum of five consecutive even integers is t.
x + x + 2 + x + 4 + x + 6 + x + 8 = t
5x + 20 = t
5 (x + 4) = t
x + 4 = t / 5
Greatest integer is x + 8.
x + 8 = (x + 4) + 4 = t/5 + 4
Hence the greatest integer is t/5 + 4.
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For all pairs of real numbers N and P, where N =5P+ 4, p=? Please help!!!!
A: N/5-4
B: B/5+4
C: 5N-4
D: 5-4/5
Answers
N - 4 = 5P
(N - 4) / 5 = P or (N/5) - 4/5 = P
to convert 3 square feet to square centimeters multiply 3 by 9.29 x 10^-2
Answers
Answer:
9.29 x 10^-2 it's wrong. It's 9.29 x 10^2 (positive)
Step-by-step explanation:
You can "move" or change the measure of everything using some scales based on specific boards.
There's a way to move from the imperial system (yards, feet, inches) to the metric system ( centimeters, meters, kilometers)
1 square foot = 929.03 square centimetre
929.03 can be written with the scientific notation, taking care of the significant figures like [tex]9.29x10^{2}[/tex]
3 [tex]feet^{2}[/tex] = 2787.09 [tex]cm^{2}[/tex] or [tex]27.87x10^{2}[/tex] [tex]cm^{2}[/tex]
The formula for the circumference of a circle is C =2 pi r.
Find the circumference of a
circle with a radius of 2 cm.
A. 12.56 cm
B. 12.56 cm^2
C. 6.28 cm
D. 6.28 cm^2
E. 12.00 cm
Answers
Therefore the circumference of the circle is
2π*(2 cm) = 4π cm.
From the calculator, obtain
4π = 12.56
Answer: A. 12.56 cm
If 100C2 has a value of 4,950, what is the value of 100C98? A. 4,950 B. 99,000 C. 49,500 D. 9,900
Answers
10C2 is the number of groups of 2 that can be formed from 100 objects.
Note: Each time a group of 2 is selected you automatically form
a second group of 98. Therefore: 10C2 = 10C98 = 4950 is your Answer
Find the percent change from 48 to 228. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.
Answers
percent increase = (new number - original number) / original number...* 100
= (228 - 48) / 48....* 100
= 180/48....* 100
= 3.75 * 100
= 375% increase <===
There is an increase in percentage from 48 to 228 is 375%.
Given that, the percent change from 48 to 228.
What is the percent change?Percentage change calculator determines the difference in values and the percent change from the original value to the new value.
Here, the difference in values = 228-48 = 180
We know that, percentage increase = Increase ÷ Original Number × 100
Now, 180/48 × 100
= 3.75 × 100
=375%
Therefore, there is an increase in percentage from 48 to 228 is 375%.
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a triangular piece of stained glass has an area of 6 square inches and a height of 3 inches. what is the length of the base
Answers
6 = 1/2 * base * 3
lengths of the base = 6 / (3*1/2) = 6 / 1.5 = 4 inches answer
The length of the base is 4 inch.
It is required to find the length of the base.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Given:
Let b be the length of the base.
h=3 inch.
Area = 6 square inches
a=1/2bh
6=1/2b*3
b=4 inch.
Therefore, the length of the base is 4 inch.
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We have f '(x) = 6x2 + 6x − 432, so f ''(x) = 12x+6 correct: your answer is correct. , which equals 0 when
Answers
To find the values of x where f ''(x) equals 0, solve the quadratic equation 12x + 6 = 0 by setting it equal to zero and solving for x: x = -1/2.
Explanation:To find the values of x where f ''(x) equals 0, we need to solve the quadratic equation 12x + 6 = 0. To do this, we set the equation equal to zero and solve for x:
12x + 6 = 0
12x = -6
x = -6/12
Simplifying, we find that x = -1/2.
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Todd is attempting to predict how much money his furniture company will make based on the amount raw materials the company currently has at its disposal. The average profit from the sale of 1 piece of furniture can be expressed as 3x + 1 and the average number of pieces of furniture that can be made using the current supply of raw materials can be expressed as 3x - 1. What polynomial function can Todd use to calculate the average profit?
Answers
Todd can use the polynomial function [tex]9x^2 - 1[/tex] to calculate his average profit based on the amount of raw materials his furniture company currently has.
Explanation:The question is asking for a polynomial function that Todd can use to calculate the average profit based on the amount of raw materials the company currently has. To find this, Todd will need to multiply the profit from each piece of furniture (3x + 1) with the amount of furniture he can produce (3x - 1). Thus, the polynomial function will be [tex](3x + 1)(3x - 1)[/tex]. After simplifying we get [tex]9x^2 - 1.[/tex] So this is the polynomial function that Todd can use to predict his average profit.
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The sum of 2 numbers is 22. three times one number is equal to ten more than the other. find the numbers
Answers
Now to plug in. The first number was represented by 3x. So substituting 3 for the x we get 3(3) = 9. And again for the second number represented by x+10, 3+10 = 13.
Your numbers are 9 and 13. To check just add them together. 13 + 9 is 22, I'll save ya the effort.
A mother is 4 times as old as her daughter. in 3 years, the mother will be 3 times as old as her daughter. how many years old is the daughter now?
Answers
Eight people compete in a downhill ski race assuming that there are no ties in how many different orders can skiers finish
Answers
There are a total of 8! different orders in which a skier can finish the race.
What are Permutations and Combinations?
Objects from a set may be chosen in a variety of ways, usually without replacement, to create subsets. These methods are known as permutations and combinations. When the order of selection is a consideration, this process of choosing subsets is known as a permutation; when it is not, it is known as a combination.
In the given question, we have 8 people, who compete in a downhill ski race.
Also, It is also given that there are no ties in the race.
So, There will be only one person among 8 people, who will rank 1,
Similarly, There will be only one person who will rank 2, and so on till rank 8.
So, The total number of orders a skier can finish the race will be:
Total number of ways = [tex]1 \times 2 \times 3 \times 4 \times 5 \times 6 \times7 \times 8[/tex]
The total number of ways is 8!
Hence, The total number of different orders that a skier can finish will be 8!.
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*PLEASE HELP, BRAINLIEST*
The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.
If the Smith's want to use square tiles, which are 6 inch on each side, in the area not covered by the carpet, how many tiles will they need?
Answers
Answer:
Correct answer is 768 tiles.
The Smiths would need 768 tiles to cover the area not occupied by the carpet in their 15 ft by 20 ft room.
Explanation:To solve this problem, let's first understand the dimensions. The room is 15 ft by 20 ft which gives a total space of 300 ft2. The carpet is 9 ft by 12 ft, so it will cover an area of 108 ft2.
We subtract the area of the carpet from the total area of the room to find the area that needs to be covered with tiles: 300 ft2 - 108 ft2 = 192 ft2.
Each square tile measures 6 inches by 6 inches. We must convert this to feet, as our other measurements are in feet. So, each tile is 0.5 ft by 0.5 ft, giving an area of 0.25 ft2 per tile.
Finally, we divide the total tile area needed (192 ft2) by the area of each tile (0.25 ft2). This gives us: 192 ÷ 0.25 = 768 tiles.
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Which description matches the graph of the inequality y ≥ |x + 2| – 3? a shaded region above a solid boundary line a shaded region below a solid boundary line a shaded region below a dashed boundary line a shaded region above a dashed boundary line
Answers
This inequality may be written two ways:
(a) y ≥ x + 2 - 3
or
y ≥ x - 1
(b) y ≥ -x -2 - 3
or
y ≥ -x - 5
A graph of the inequality is shown below. The shaded region satisfies the inequality.
Answer: A shaded region above a solid boundary line.
Final answer:
The graph of the inequality y ≥ |x + 2| − 3 is represented by a shaded region above a solid V-shaped boundary line that has its vertex at the point (-2, -3).
Explanation:
To determine which description matches the graph of the inequality y ≥ |x + 2| − 3, it is essential to understand the properties of the inequality and the properties of absolute value functions. The absolute value function |x + 2| creates a V-shaped graph with a vertex at the point (-2, 0). When this is adjusted by subtracting 3, the vertex of the V shape is moved down to (-2, -3).
The inequality sign ≥ indicates that we are looking for the region that includes all y-values that are greater than or equal to the function |x + 2| − 3. Therefore, the region of the graph that we are interested in is above this V-shaped graph. The equal part of the inequality ≥ allows us to use a solid boundary line rather than a dashed line, because the points on the graph of y = |x + 2| − 3 are included in the solutions for the inequality.
So, the correct description is a shaded region above a solid boundary line, which represents all the points (x, y) where y is greater than or equal to the value of |x + 2| minus 3.
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.
x=+- sqrt 5 and x = ±10
x=+- sqrt i5 and x = ±10i
x=+- sqrt 5 and x = ±10i
x=+- sqrt i5 and x = ±10
Answers
x= the square root of -5
x=10i
x=-10i
Given
The equation in the form
[tex]x^{4}+95x^{2}-500 =0[/tex]
Find the factor of the above equation
To proof
factoring the above equation
we get
[tex]x^{4}+100x^{2}-5x^{2}-500 =0\\\\x^{2}(x^{2}+100)-5(x^{2}+100)=0\\\\(x^{2}-5)(x^{2}+100)=0[/tex]
now sloving the equation we get the value
x² = 5
x² = -100
[tex]x =\pm \sqrt{5}\\\\ x=\sqrt{-100}[/tex]
The factor of the equation is
[tex]x=\pm \sqrt{5}\\\\ x= \pm 10i[/tex]
Hence proved
the graph below represents y=x. If the slope of the above equation is changed from 1 to 4 which graph best represents the new equation
Answers
Answer:
The graph of the new equation is shown in figure 2.
Step-by-step explanation:
Consider the provided function.
[tex]y=x[/tex]
The graph of the above function is shown in figure 1.
The slope intercept form is:
[tex]y=mx+c[/tex]
Where m is the slope and c is the y intercept.
Now, compare the slope intercept form with the provided function.
By the comparison it can be conclude that the slope of the provided function is 1 and y intercept is 0. As the coefficient of x is 1.
We need to change the slope from 1 to 4.
So change the coefficient of x from 1 to 4.
Thus, the required function is [tex]y=4x[/tex]
The graph of the new equation is shown in figure 2.
3 yards of fabric for $13.47
Answers
If so, you would divide 13.47 by 3.
This would give you $4.49 per yard.
Determine whether the conjecture is true or false. Give a counterexample for any false conjecture. Given: Point B is in the interior of \(\angle ADC). Conjecture: ∠ADB≅∠BDC
Answers
Answer:
Just because it is in the interior doesn't mean it is on the bisecting line, and ADB could be an obtuse angle
Step-by-step explanation:
The given line segment has a midpoint at (3, 1).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = x
y = x – 2
y = 3x
y = 3x − 8
Answers
We need to find the slope of the blue given line to determine the slope of the perpendicular bisector of this blue line.
From the graph, we see that if x increases from 2 to 4, y decreases from 4 to -2. Thus, the slope of the blue line is [-2-4] divided by 4-2, or m = -6/2, or m = -3.
The slope of the perpend. bisector of the blue line is the negative reciprocal of -3, or m= 1/3.
Let's find the slope-intercept form of this bisector. We need to determine b in y=mx+b. Referring to the midpoint of the blue line, x= 3; y= 1; and m=1/3. Then
y=mx+b becomes 1=(1/3)(3) + b. Solving for b: 1=1+b. Then b=0.
Thus, the equation of the perpendicular bisector of the blue line through (3,1) is y=mx + b, or y=(1/3)x + 0, or y=x/3.
The equation, in slope-intercept form, of the perpendicular bisector is: y = 1/3x.
What is the Slope-intercept Form of an Equation?The slope-intercept form is given as, y = mx + b.
b is y-intercept, and m is the slope.
Slope = change in y/change in x.
The slopes of two lines that are perpendicular to each other are negative reciprocal of each other.
Thus, let's find the slope of the blue line:
Slope = (-2 - 4)/(4 - 2) = -3
Therefore, the slope of the line perpendicular to it would be, 1/3.
Equation of the perpendicular bisector that passes through (3, 1):
Since slope (m) is 1/3, find b by substituting m = 1/3 and (x, y) = (3, 1) into y = mx + b.
Thus:
1 = 1/3(3) + b
1 = 1 + b
1 - 1 = b
b = 0.
Substitute b = 0, and m = 1/3 into y = mx + b:
y = 1/3x + 0
y = 1/3x
Therefore, the equation, in slope-intercept form, of the perpendicular bisector is: y = 1/3x.
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Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10 each and short-sleeved shirts are $5 each. The club can spend no more than $165. What are the minimum and maximum numbers of long-sleeved shirts that can be purchased?
Answers
The maximum is 16. They need at least 25 so everyone getting long sleeve shirts is not an option, the minimum has to be 25 no matter what kind of shirts you buy. If everybody got a short sleeve shirt, 25*5 will be the minimum and 165/5 would be the maximum. The minimum, of course, is 25 shirts for 125 dollars and the maximum is 33 shirts for 165 dollars.
Which expression is equivalent to −4.7+(−0.3)+(−1.4) ?
A.) (4.7+0.3)+(−1.4)
B.) −4.7−(0.3−1.4)
C.) −4.7+(0.3+1.4)
D.) −(4.7+0.3+1.4)
Answers
Decide which of the two points lies on the graph something line
X+3y=-2
A. -6,6
B. 4,-2
Answers
(4) + 3(-2) = -2
4 + -6 = -2
-2 = -2
True
B) 4, -2 is your answer
hope this helps
Plug them into the line's equation and you get...
4+3(-2)=-2
4-6=-2
-2=-2
Hope this helps!