Answers
Answer:
20
Step-by-step explanation:
We know that ΔBAC and ΔBED are similar becuase of the AA Postulate (they both have a right angle and they both share ∠B). Since AC is 15/3 = 5 times longer than ED, the scale factor is 5 which means AB is 5 times longer than EB. This makes EB = 25 / 5 = 5. Since AB = AE + EB and we know that AB = 25, AE = x and EB = 5, 25 = x + 5 which means x = 20.
Related Questions
Select the correct answer. The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross section passing through the diagonals of opposite faces of this cube? A. 12 square centimeters B. 25 square centimeters C. 35 square centimeters D. 49 square centimeters Reset Next
Answers
C : 35
---------------------
Find all real zeros of the function.
g(x) = 2x (x - 5)2(x – 9)?
If there is more than one answer, separate them with commas.
zero(s):
Answers
Answer:
0, 5, 9
Step-by-step explanation:
g(x) = 2x (x - 5)^2(x – 9) = 0
x = 0 or x - 5 = 0 or x - 9 = 0
x = 0 or x = 5 or x = 9
It’s on khan academy
On a map’s coordinate grid, Panthersville is located at (−3, 2), and Heel City is located at (4, 8). Falconton is the midpoint between Panthersville and Heel City. What is the approximate distance from Panthersville to Falconton? (Each unit on the grid represents 1 mile.) A. 3.25 miles B. 4.61 miles C. 5.00 miles D. 9.22 miles
Answers
Answer:
The approximate distance from Panthersville to Falconton is: B: 4.61 miles.
Step-by-step explanation:
Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)
First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )
-To find the distance between the two cities we use the distance formula:
d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.
Once we plug it in we get:
d= √(4 - -3)^2 + (8 - 2) ^2
Then we solve the numbers in the parenthesis (4 - -3) = 7 and (8 - 2) = 6 so now we have:
d= √(7)^2 + (6) ^2
Next we solve for the exponents (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:
d= √49 + 36
After that we just add both numbers together (49 + 36) = 85
d= √85
Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.
So the distance from Panthersville to Heel City is about 9.22 miles.
Now we found the full distance we now need to find the distance from Panthersville to Falconton which is just half of that distance due to Falconton being the midpoint.
All we have to do is divide 9.22 by 2 and we get 4.61.
The distance from Panthersville to Falconton is 4.61 miles.
if f(x) -3 and g(x) = 3x2+x-6, find (f+9)(x).
A. 4x2 - 9
B. 3x2 + x - 3
C. 3x2 + 2X-9
D. 3x2 - 4x = 3
Answers
Answer:
3x^2 +x -3
Step-by-step explanation:
f(x)= 3 and g(x) = 3x^2+x-6
f+g (x) = 3+ 3x^2+x-6
Combine like terms
= 3x^2 +x -3
I hope this helps
Missing Portion on Spinner:
So theres a circle,
2/3 is covered,
1/6 is covered,
and 1/9 is covered
what fraction is the portion that isn't covered
Answers
============================================
Explanation:
The fractions 2/3, 1/6 and 1/9 have the denominators 3, 6 and 9. The LCM is 18, so the LCD of the fractions is 18.
2/3 = 12/18 after multiplying top and bottom by 6
1/6 = 3/18 after multiplying top and bottom by 3
1/9 = 2/18 after multiplying top and bottom by 2
--------
The three original fractions 2/3, 1/6, and 1/9 are equivalent to 12/18, 3/18, and 2/18 in that exact order.
With the fractions all having the same denominator, we can add the numerators to place over the common denominator
12/18 + 3/18 + 2/18 = (12+3+2)/18 = 17/18
--------
After combining all of the shaded areas, we have 17/18 of the circle shaded in with 1/18 of the circle not shaded in.
You subtract 17/18 from 1 to get 1/18
1 - (17/18) = 18/18 - 17/18 = (18-17)/18 = 1/18
You could think of it like having 18 slices of cake total, and 17 are eaten by guests, so 18-17 = 1 is left over out of the 18 overall. So 1/18 of the cake hasn't been eaten.
The required fraction is 1/18, that is not covered.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
In the given spinner,
2/3 part is covered,
1/6 part is covered,
and 1/9 part is covered.
To determine the fraction of the portion that is not covered,
Let the not covered portion is x.
Since, Total value of circle = 1
2/3 + 1/6 + 1/9 + x = 1
(4 + 1)/6 + 1/9 + x = 1
5 / 6 + 1/9 + x = 1
(15 + 2) / 18 + x = 1
17/18 + x = 1
x = 1 - 17 / 18
x = 1 / 18
The portion of the circle that is not covered is 1/18.
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5. Rectangle ABCD is graphed in the coordinate plane. The following are vertices of the rectangle: A(-1,-6), B(-1,-7), C(1,7), and D(1,-6). Given these coordinates, what is the length of side AB in this triangle? On the lines below, provide the length of the side as well as your reasoning for how you arrived at your answer.
Answers
Answer:
The legnth of side AB would be 3 units
Step-by-step explanation:
First, you would determine that both point A and point B would have the same y-coordinate of 1. Then you would determine the difference between the x values of points A and B. Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.
Use exponents to create an equivalent expression for: 1) 4 ∙ 4 ∙ 4 2) x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 *
Answers
Answer:
1) 4^3
2) x^6 + 2
Step-by-step explanation:
1) 4 is the main number.
Then, however many fours there are is the exponent
( there are 3 fours )
2) x is the main variable
Then however many x's there are, that number will be your exponent
( there are 6 x's )
Answer:
Step-by-step explanation:
1) 4 ∙ 4 ∙ 4 is equivalent to 4^3: 4 is the base and 3 is the final exponent of this base.
2) x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 * needs clarification. What do you mean by " 2 * ?"
x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 * could be rewritten as x ∙ x ∙ x ∙ x ∙ x ∙ x + 2, which is equivalent to x^6 + 2. If you're still interested in solving this problem, please double check to ensure that you have copied it down correctly. Thank you.
plz help me i need help
Answers
Therefore, 2 times as long.
Explanation:
8 x 10^-7 = (2)4 x 10^-7
HELP ME PLEASE !! A duck paddles 4 yards downstream in 24 seconds. It takes the duck 40 seconds to paddle the same distance upstream. How fast can the duck paddle in still water ? What is rate of the current? Duck speed: _____ Current: ________ And if possible you can show me the steps?
Answers
Answer:
1. duck will travel in still water paddles 4 yards = 38,7 sec
up stream speed = 0,63 mph
down stream speed = 0,68 mph
Please help
Quadrilateral ABCD is a parallelogram. Let E be a point on AB, and let F$\ be the intersection of lines DE and BC The area of triangle EBF is 1, and the area of triangle EAD is 9. Find the area of parallelogram ABCD.
Answers
Answer:
24
Step-by-step explanation:
Hope this is correct
Solve the equation using the multiplication property of equality and the reciprocal of 1 4 . 1 4 ( r − 5 2 ) = 1 8
Answers
Answer: I dont know if this is right but the is 8 Ive never done this before.
Step-by-step explanation:
1 =
4 =
1 =
4 =
r− 5 ⋅ 2 = 1 = r = 11
8 = r = 11
Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks?
Answers
Answer:
$116.06
Step-by-step explanation:
48.97 + 67.09 = 116.06
Answer:
$116,06
Step-by-step explanation:
48,97 + 67,09
A square has a perimeter of 8 and one vertex at (2, 2). What could be the location of another vertex of this shape? A) (1, 5) B) (-2, 2) C) (2, 3) D) (0, 0)
Answers
Answer:
D) (0,0)
Step-by-step explanation:
It is a square so each side is 2 units because
8/4 = 2
If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.
We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.
So the other point is (0,0)
Order of Operations - Use PEMDAS. Evaluate the expression. Show all work please!
18 - 2 (1 + 10 / 5)
Answers
Explanation:
18-2(1+10/5)
18-2(1+2)
18-2(3)
18-6
12
18-2(1+10/5)
First if all divisions
18-2(1+2)
Open bracket
18-2-4
18-6
12
12 final answer
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
Answers
Answer:
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
Step-by-step explanation:
Required
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Required
Determine the number line
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Open the bracket
[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]
[tex]2x - 6 \geq 6x - 12 + 8[/tex]
[tex]2x - 6 \geq 6x - 4[/tex]
Collect Like Terms
[tex]2x - 6x \geq 6 - 4[/tex]
[tex]- 4x \geq 2[/tex]
Divide both sides by -4
[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]
[tex]x \leq -0.5[/tex]
From the list of given options, the correct answer is option C
Answer:
b
Step-by-step explanation:
3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1
Answers
-1=m
Answer:
m=-1
-5m -2m +7m -m = -3 +4
-m = 1
m = 1
What is the volume of the following rectangular prism?
Answers
===================================================
Explanation:
Convert the mixed number 3 & 2/3 to an improper fraction
3 & 2/3 = 3 + 2/3
3 & 2/3 = 9/3 + 2/3
3 & 2/3 = (9+2)/3
3 & 2/3 = 11/3
The prism has a base area of 9 square units and a height of 11/3 units.
Multiply the base area by the height to get the volume
volume = (base area)*(height)
volume = (9)*(11/3)
volume = 99/3
volume = 33 cubic units
------------
You could choose to not convert to an improper fraction, and your steps may look like this
volume = (base area)*(height)
volume = (9)*(3 + 2/3)
volume = 9*3 + 9*(2/3) .... distribute
volume = 27 + 18/3
volume = 27 + 6
volume = 33 cubic units
Either way we get the same volume.
For what values of x is the value of the function f(x)=x² +3x+2 equal to zero?
Answers
Answer:
x=-2 x=-1
Step-by-step explanation:
f(x)=x² +3x+2
Set the function equal to zero
0=x² +3x+2
Factor
What 2 numbers multiply to 2 and add to 3
2*1 = 2
2+1 = 3
0 = ( x+2) (x+1)
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Find the equation of the parabola with focus (2, 3) and directrix y = -1.
es
Answers
Answer:
Below in bold.
Step-by-step explanation:
Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of this point from the directrix. So:
√(( x - 2)^2 + (y - 3)^2) = y - (-1)
Squaring both sides:
(x - 2)^2 + (y - 3)^2 = (y + 1)^2
x^2 - 4x + 4 + y^2 - 6y + 9 = y^2 + 2y + 1
x^2 - 4x + 4 + 9 - 1 = 2y + 6y
8y = x^2 - 4x + 12
y = 1/8(x^2 - 4x + 12)
or we can write it as
y = 1/8x^2 - 1/2 x + 3/2.
this is just a personal question if i have 47 assignments to do and i have to finish by the 20th of august how many do i need to do a day
Answers
Answer:
Hey there!
Today is August 7th, 2020.
Thus, August 20th is in 13 days.
If you have 47 assignments, you would have to do 3-4 a day to finish on time.
Hope this helps :) And good luck with your assignments.
Answer:
You have to do about 3 and a half assements a day.
Step-by-step explanation:
Just do 47 divides by 20 but since it is the 7th do 47 divides by 13
Have a nice day!
PLEASE HELP I WILL GIVE BRAINLIEST!!!!! The box plots below show attendance at a local movie theater and high school basketball games: Two box plots are shown. The top one is labeled Movies. Minimum at 100, Q1 at 130, median at 165, Q3 at 185, maximum at 200. The bottom box plot is labeled Basketball games. Minimum at 135, Q1 at 225, median at 248, Q3 at 275, maximum at 300. Which of the following best describes how to measure the spread of the data? The IQR is a better measure of spread for movies than it is for basketball games. The standard deviation is a better measure of spread for movies than it is for basketball games. The IQR is the best measurement of spread for games and movies. The standard deviation is the best measurement of spread for games and movies.
Answers
Correct option is Option B: The standard deviation is a better measure of spread for movies than it is for basketball games.
Visual analysis for movies:
Movies data is more centric to mean and not skewed on a particular side.
Visual analysis for Basketball games:
Basketball games data is not centric to mean but is skewed or say more dense in right then left.
Property of standard deviation and its limitation:
Standard deviation just measures the deviation or spread with respect to mean of collected data. It is non- sensible for skewness of the data and thus more information is needed in such case.
Property of IQR and its limitation:
IQR is interquartile range. IQR generally is less powerful than standard deviation, but more powerful if the data is skewed and its variability has to be measured. It measures the range or say difference between [tex]Q_3 \: and \: Q_1[/tex]
In the movies data, the data is more collected and barely visible to be skewed. Thus standard deviation is best suited for this dataset.
In the basketball data, the standard deviation will fail to give good information about the data. The IQR, is better here since we've to measure variability or dispersion of data which is skewed.
Thus, option B: The standard deviation is a better measure of spread for movies than it is for basketball games; is correct option.
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Find the volume. Show work plz
Answers
Answer:
196π or 615.75 m^3 to the nearest hundredth.
Step-by-step explanation:
This is a cone, so:
Volume = 1/3 π r^2 h
= 1/3 * π * 14^2 * 3
= 196π m^3.
what is the first step to solving this problem: 3x-10=2(x+3)
Answers
Answer:
x = 16
Step-by-step explanation:
3x - 10 = 2(x+3)
First step is solve this:
2(x+3) = 2*x + 2*3 = 2x + 6
then:
3x - 10 = 2x + 6
3x - 2x = 6 + 10
x = 16
Check:
3*16 - 10 = 2(16+3)
48 - 10 = 2*19 = 38
Answer:
x = 16
Step-by-step explanation:
you start off by isolating the variable
Please someone help me
Answers
Answer:
r = 0.046212737
Step-by-step explanation:
A = 14,400 (what your investment originally is)
P = 7,200 (what you want your investment to be)
n = 365 (interest is compounded daily)
t = 15 (15 years)
Plug all of these numbers into the equation, then solve for r
14,400 = 7,200(1 + r/365)^365 · 15
Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15
365 · 15 = 5475 --> 2 = (1 + r/365)^5475
5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)
(5475√(2)) - 1 = r/365 (subtract one from both sides)
((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)
Type the left side into the calculator to get r --> 0.046212737.
Hope this helps!
The answer is r= 0.046212737
The angles of a pentagon are in ratio
9:10:12:14:15. What is the sum of measures of
the smallest and largest angles?
Answers
Answer:
216°
Step-by-step explanation:
The ratio of the sum of smallest and largest to the total of all angles is ...
(9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4
__
The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...
180°(5 -2) = 540°
Then the sum of smallest and largest angles is ...
0.4(540°) = 216°
What is the area of the figure? The figure is not drawn to scale.\ A. 27.36 cm2 B. 13.7 cm2 C. 9.1 cm2 D. 5.3 cm2
Answers
Answer:
B. 13.7 cm^2
Step-by-step explanation:
To find the height of any parallelogram, you must multiply the base x height.
The base is 1.9 cm. The height is 7.2 cm.
A = bh
A = (1.9)(7.2)
A = 13.68
13.7 is the closest answer we can get if we can round, but it really should be 13.68 cm^2.
Answer:
B. 13.7
Step-by-step explanation:
A = bh
A = 1.9*7.2
A = 13.68
(13.68 rounds up to 13.7)
I WILL GIE BRAINLY AND 50 POINTS PLZ PLZ PLZ HELP ME
Select the correct scientific notation form of this numeral using only 2 significant figures.
8,421,032.9266
84 × 10 9
8.4 × 10 10
8.4 × 10 6
None of these
Answers
Answer:
8.4 × 10^6
Step-by-step explanation:
Use floating-point system in which numbers are expressed as products consisting of a number between 1 and 10 multiplied by an appropriate power of 10 (as in 1.591 × 10−20)
Hope this helps <3
40 POINTS!!!!!!!! WILL MARK BRAINLEST!!!!! 3. Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916. (a) What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag? (b) What reasons might Venita give for saying that the 1916 coin is most likely in her bag? (c) Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning.
Answers
Answer:
Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916
To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?
What reasons might venita give for saying that the 1916 coin is most likely in her bag?
Solution:
Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72
arranging in order
26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85
Median = (68 + 71)/2 = 69.5
Q1 = 61
Q3 = 74.5
IQR = 13.5
Sherelle claims that she has 26 which is closer to 16 hence her chances are more.
Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62
arranging in order
44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Median = 63.5
Q1 = 53
Q3 = 71.5
IQR = 18.5
IQR of Venita is High
so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More
If Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Sherelle might say that she remembers seeing an old coin in her bag earlier and that she rarely removes things from her bag.
She might also argue that she has not used her bag as frequently as Venita, so the coin is more likely to be in her bag.
Venita might argue that she has used her bag more frequently than Sherelle, so the coin is more likely to be in her bag.
She might also say that she has checked her bag multiple times and has not seen the coin, so it must be in Sherelle's bag.
if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
On the other hand, if the coin was recently added to one of the bags, then Venita's bag could also be a likely candidate.
Hence, if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
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If you're good at bearings pls help meeeeee
Pls show full working out ty
Answers
Answer:
201
Step-by-step explanation:
use the law of sines
sine B / b = sine C / c
sine 75 / 19.6 = sine C / 12.5
inv sine C = ( sine 75 * 12.5 ) / 19.6
C = 38
the bearing C = 180 + 59 - 38 = 201
If f(x)=(2x^2)-1, find:
-f(3x-1)+2
Answers
Answer:
-f(3x - 1) + 2 = -18x² + 12x + 1
Step-by-step explanation:
Step 1: Find f(3x - 1)
f(3x - 1) = 2(3x - 1)² - 1
f(3x - 1) = 2(9x² - 6x + 1) - 1
f(3x - 1) = 18x² - 12x + 2 - 1
f(3x - 1) = 18x² - 12x + 1
Step 2: Plug in f(3x - 1)
-(18x² - 12x + 1) + 2
Step 3: Evaluate
-18x² + 12x - 1 + 2
-f(3x - 1) + 2 = -18x² + 12x + 1