Answer:
I got that AE^2 = 8EC^2
Step-by-step explanation:
Here's what I did. I probably did this wrong, but this might give you an idea on how to solve it.
First, create equations:
AB = BC = AC = DE = 2EC
BD= BC = EC
Then, I used pythagorean theorem (since AD is perpendicular to BC): AD^2 + DE^2 = AE^2
Substitute: (2EC)^2 + (2EC)^2 = AE^2
Simplify: 4EC^2 + 4EC^2 = AE^2
AE^2 = 8CE^2
solve this questions
Answer:
a) Sale Price; Rs. 800 Discount rate: 20%
b) Sale Price; Rs. 4000 Discount rate: 20%
c) Sale Price; Rs. 6000 Discount rate: 35%
Step-by-step explanation:
1. Approach
In these problems, one is given a list of original prices and the amount of price taken off during a discount. One has to find the sale price and the rate of discount. The easiest way to find the sale price is to subtract the discount price from the original price. The general train of thought to do this can be found in the following formula:
[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]
One is also asked to find the rate of discount. Use the following proportion format to do so:
[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]
Substitute each of the values in the given problem into the equation and solve for the price.
2. Part A
Original price: 1000
Discount: 200
1. Sale price
Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve,[tex]1000-200=(sale\ price)[/tex][tex]\\800 = sale\ price[/tex]2. Discount rate
Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{200}{1000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex](5)(percent)=1(100)[/tex][tex]percent=20[/tex]3. Part B
Original price: 5000
Discount: 1000
1. Sale price
Formula,[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]5000-1000=(sale\ price)[/tex][tex]4000=(sale\ price)[/tex]2. Discount rate
Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{1000}{5000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex]5(percent)=1(100)[/tex][tex]percent=20[/tex]4. Part C
Original price: 8000
Discount: 2000
1. Sale price
Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]8000-2000=(sale\ price)[/tex][tex]6000=(sale\ price)[/tex]2. Discount rate
Formula,[tex]\frac{discount}{amount}=\frac{percent}{100}[/tex]Substitute, simplify and solve,[tex]\frac{2000}{8000}=\frac{percent}{100}[/tex][tex]\frac{1}{4}=\frac{percent}{100}[/tex][tex]4(percent)=1(100)[/tex][tex]percent=25[/tex]What is the remainder when 4x2 - 2x + 6 is divided by x - 2?
Answer:
18
Step-by-step explanation:
Find the zeros of the divisor
x-2=0
x=2
Plug 2 into the polynomial
4(2)²-2(2)+6
=16-4+6
=18
Which graph represents a function?
Answer:
The last option
Step-by-step explanation:
In order for the graph to be a function it has to pass the vertical line test. If you draw a vertical line through the graph and it only intersects at one point then it is a function.
PLS HELP ME
The width of a rectangle is 20m to 2 significant figures
The length of a rectangle is 40m to 1 significant figure
What is the shortest perimeter the rectangle could have?
Answer:
80m
Step-by-step explanation:
(20x2) =40m + 40m= 80m
In the given figure, if AOB is a straight line, then ∠BOC is
Answer:
acute angle.
Step-by-step explanation:
because it is 60 degree
Nếu AOB là một đường thẳng thì góc BOC =90°
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options.
Answer:
m = negative StartFraction 10 over 4 EndFraction
m = negative five-halves
Step-by-step explanation:
Given equation :
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction
3/4 + m = - 7/4
Subtracting 3/4 from both sides
3/4 + m - 3/4 = - 7/4 - 3/4
m = - 10/4
m = - 5/2
SOMEONE HELP PLSSS
3. Which ratio would NOT be involved in the altitude or leg rule?
Answer:
AB/AD = AD/AC
Step-by-step explanation:
From the triangle given, we can get the required expression to calculate CD using the altitude theorem as shown:
AB/CB = CB/DB (Hypotenuse/Adjacent side using the similar triangle ABC and CDB)
AB/AC = AC/AD (Hypotenuse/Opposite side using the similar triangle ABC and ACD)
BD/CD = CD/AD (Adjacent/Opposite side using the similar triangle BCD and ACD)
Hence the odd one out will be option C AB/AD = AD/AC (since there is no altitude CD in the expression)
Answer:
AB/AD = AD/AC
Step-by-step explanation:
Had it on my quiz
A man walks at the rate of 88 paces to the minute if the average length of his paces is 0.875m, find the time take to walk 2.31km.
Answer:
30 minutes
Step-by-step explanation:
Walk rate = 88 paces/ minute
Average length of pace = 0.875 m
Time taken to walk 2.31 km ;
The distance in metres :
1000 m = 1 km
2.31 km = (1000 * 2.31) = 2310 m
Recall :
Time taken = distance / speed
Distance walked in a minute = 88 * 0.875 = 77 m
Time taken = 2310 / 77
Time taken = 30 minutes
A square shaped room contains 12 m3 of air. If the height of the room is 3 m, what is the area of the floor. Also, find the length of the floor.
Answer:
A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer
Step-by-step explanation:
please mark me brainlist
Show that (x+1)(x+3)(x+5) can be written in the form ax3+bx2+cx+d where a b c and d are all positive intergers
Answer:
Step-by-step explanation:
(x+1)(x+3)(x+5), multiply first two parenthesis
(x² +3x +x +3)(x+5), combine like terms
(x² +4x +3) (x+5), multiply the parenthesis
(x³ +5x² +4x² +20x +3x +15), combine like terms
x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d
a=1, b=9, c=23, d=15 are all positive integers
Delta math need help
Answer:
2.6
Step-by-step explanation:
We'll use the Pythagoras theorem to solve this, which states that in a right angle triangle:
h^2 = a^2 + b^2
4^2 = 3^2 +b^2
16= 9 +b^2
16-9= b^2
7= b^2
(take square root in both sides)
b= 2.65
round to nearest 10th = 2.6
answer by Gauthmath
Answer:
Missing side is 2.6
3^2 + x^2 = 4^2
9 + x^2 = 16
-9 -9
x^2 = 7
([tex]\sqrt{x}[/tex])^2 = [tex]\sqrt{7}[/tex]
x = 7
Find the approximation o the square root of 7 in fractions then carry out the long division.
Or
Approx. is 2 3/5 which equals 2 6/10 which equals 2.6
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30
Answer:
cos Z = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = opp / hyp
cos Z = 16/34
cos Z = 8/17
Exercise A Rewrite each of the following expressions. Use the
words divided by. Then set up the division problem. Look at the
examples on the top of this page.
Miles per hour
Answer:
gansjehensjhebebsbbvevbeb
Step-by-step explanation:
bebbdnxnbahwv sbbhw €6%×:nbbe
Please help!
Will mark brainliest!!
Answer:
Let m = Number of months
Company A: 60+ 42.95 m
Company B: 25+49.95 m
60+ 42.95 m= 25+49.95 m
Subtract 42.95 from both sides
60 = 25 + 7m
Subtract 25 from both sides
35= 7m
Divide both sides by 7
m = 5
OAmalOHopeO
value of the pronumeral and describe the rule.
4,1,-2,p,-8,-11
Answer:
p = -5
every element in the sequence is created by subtracting 3 from the pervious element.
Step-by-step explanation:
I am not sure you put every necessary information here.
but I'd the visible information is truly everything, then it's is trivial.
the difference between 4 and 1 is ... well, -3. meaning we subtract 3 from 4 to get 1.
we suspect this is the rule and keep trying.
1 -3 = -2
hey it works.
and -8 -3 = -11
hey, also correct.
and the difference between -2 and -8 is -6, and when we place another item in between (p), we cut that in half again to -3. so, it is all consistent.
therefore,
p = -2 -3 = -5
the rule is
an = an-1 - 3
Beverly fpund a magic bean. If she puts it in the soil , every single day it will grow 4 cm. After how many days will it be 14.56 meters tall
Answer:
364 days
Step-by-step explanation:
Magic bean will take 364 days to grow 14.56 m tall.
What is Unit Conversion?A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.
Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.
First we need to convert the height in m into cm.
14.56 m=14.56*100=1456 cm
If it grows 4 cm in one day then:
It will take 1456/4=364 days (a year) to grow completely.
To know more about unit conversion refer:
https://brainly.com/question/6243489
#SPJ2
HELPPP! Pleaze I will give 30 points!
Triangle XYZ has vertices at X(-2, 3), Y(3, 0), and Z(2, 1). What are the coordinates of the image of Triangle XYZ after the translation (x, y) --> (x + 3, y + 1)?
Answer:
u need my help OK bet
Step-by-step explanation:
so heres tge answer
Answer:
is it x(1,4) y(6,1) z(5,2)
give brainliest
how do i solve this any one know pls help me
Answer: 5π OR 15.70796327
Step-by-step explanation:
Formula for circumference is C=2πr (radius) OR C=πd (diameter)
Our radius is 5 units, so our diameter is 10 units
C=10π
However, the question is only asking for length of semicircle
So you have to divide: 10π/2=5π
Just need to know if I answered this correctly please!
Answer:
yes, your answers are correct
The zero of the polynomial f(x) = 2x+7 is ___________.
Answer:
f(x)=2×+7 is=21
Step-by-step explanation:
i dont know that oh! i hope it helps for you
20 POINTS - 1 EASY QUESTION
You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?
Answer and explanation:
How are the two methods similar? They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for area of triangle 1/2×base of triangle×height of triangle.
How are they different? Using coordinate algebra in finding area of a triangle, you would have to measure coordinates(xy coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used a geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate area of triangle using the formula.
Why might coordinate algebra be important in making and using geometry software? A solid grasp of coordinate algebra allows you understand how the geometry software works because it makes use of same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.
Answer:
They all use the same formula for area of triangle 1/2 base of triangle height of triangle to identify the area of a triangle using the essentials of triangle geometry.To find the area of a triangle using coordinate algebra, you must configure way of measuring the triangle's coordinates like the x and y coordinates on the graph and afterwards find the y coordinates depending on the x coordinates. If you were using geometry software, it would immediately determine the area of the triangle by using formula based on your graph on the software.Because geometry software uses the same geometry basic concepts as coordinate algebra, having a proper understanding of coordinate algebra makes it simpler to improve.
Step-by-step explanation: im sorry if this doesn't help or if its incorrect more than welcomed to add some stuff to it!
If we are given the value of α. How can we find the value of β?
Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
Step-by-step explanation:
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the
hypotenuse?
O A. 12
B. 4sqrt5
Oc. 32
D. 4sqrt3
Answer:
option A. twelve because hypotenuse angle is equal to perpendicular to the sum base
4log10 2 − log10 48 + log10 300
Answer:
hello,
answer 2
Step-by-step explanation:
[tex]I\ note\ Log\ ,log_{10}\\\\4*Log(2)-Log(48)+Log(300)\\\\=4*Log(2)-Log(3*2^4)+Log(3*100)\\\\=4Log(2)-Log(3)-4Log(2)+Log(3)+2*Log(10)\\\\=2*1\\\\=2\\[/tex]
Answer:
the answer is easy
number 2 is the answer for this question
How do I solve part A
Answer:
The solution of this expression is [tex]x_{1} = -1[/tex] and [tex]x_{2} = -\frac{1}{2}[/tex].
Step-by-step explanation:
The procedure for solution of exercise A is described below:
1) We expand the expression.
2) The resulting expression is rearranged into the form of a second order polynomial.
3) Roots are found by Quadratic Formula.
Step 1:
[tex]2\cdot x \cdot (x+1.5) = -1[/tex]
[tex]2\cdot (x^{2}+1.5\cdot x) = -1[/tex]
[tex]2\cdot x^{2} + 3\cdot x = -1[/tex]
Step 2:
[tex]2\cdot x^{2}+3\cdot x +1 = 0[/tex]
Step 3:
[tex]x_{1, 2} = \frac{-3\pm \sqrt{3^{2}-4\cdot (2)\cdot (1)}}{2\cdot (2)}[/tex]
[tex]x_{1,2} = -\frac{3}{4}\pm \frac{1}{4}[/tex]
[tex]x_{1,2} = \frac{-3\pm 1}{4}[/tex]
The solution of this expression is [tex]x_{1} = -1[/tex] and [tex]x_{2} = -\frac{1}{2}[/tex].
In a biconditional statement, the output is true if at least one input is true.
-true
-false
Can someone please help me.... I am confused.
Answer:
P1 =(-6,-2)
P1=8
P2(-4,-1)
P2=5
How many feet from the vulture
Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.
A point on this line that corresponds to the distance Luke swam in 45 seconds is
Answer:
1. velocity
Step-by-step explanation:
that is the answer above
in how many ways can 7 people line if A needs to be first or last and B needs to be in the middle
Answer:
Assuming person A and person B are part of the 7 people, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.