Answer:
68.5
Step-by-step explanation:
Arc ABE = 360 - 2x
Arc AE = 2x
half the difference between the two arcs is 43
43 = [tex]\frac{1}{2}[/tex] [360 -2x - (2x)]
AYUDAAAA, LES DOY CINCO ESTRELLAS SI LO RESUELVEN BIEN
dividido por la epotenusa es 7 :v
A sweater is on sale for $45.00, down from $75.00. What is the
percent of discount of the sweater?
A. 50%
B. 30%
C. 55%
D. 40%
Answer:
D
Step-by-step explanation:
The percentage of discount on the sweater will be 40%. The correct option is D.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a sweater is on sale for $45.00, down from $75.00. The percentage discount will be calculated as:-
Percentage discount = (75 - 45) / 75
Percentage discount = ( 30 / 75 )
Percentage discount = 0.4 x 100 = 40%
Therefore, the percentage of discount on the sweater will be 40%. The correct option is D.
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what is the equation of the line shown?
Answer:
y=1/2x+1/2
Step-by-step explanation:
the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2
The equation of line is y= 1/2x+ 1/2.
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:
Take points from the graph as (-1, 0) and (3, 2).
So, slope of line = (2 - 0)/ (3 -(-1))
= 2/4
= 1/2
Now, slope- intercept form
y- 0 = 1/2 ( x-(-1))
y= 1/2x + 1/2
Hence, the equation of line is y= 1/2x+ 1/2
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Graph each equation by using the y-intercept and slope
y=-x-4
Y-int=______
Slope=_____
whats the y-intercept and slope for this equation?
Answers:
y intercept = -4
slope = -1
==========================================
Explanation:
The given equation is the same as y = -1x + (-4)
Compare this to y = mx+b form, and we see that
m = -1 is the slope
b = -4 is the y intercept
To graph y = -x-4, you could plot the two points (0,-4) and (1,-5) and draw a straight line through them. Extend the line as far as you can in either direction.
Notice how going from (0,-4) to (1,-5) follows the process "down 1, right 1" which is directly pulled from the slope = -1 = -1/1.
Find a solution to the following system of equations –5x + 2y = 9 3x + 5y = 7
Answer: (-1, 2)
Step-by-step explanation:
Let's start by solving for x in
[tex]-5x+2y=9\\-5x+2y+-2y=9+-2y\\-5x=9+-2y\\\frac{-5x}{-5} =\frac{9+-2y}{-5} \\x=\frac{2}{5} y+\frac{-9}{5}[/tex]
We can now sub this value of x in 3x+5y=7 and solve
[tex]3x+5y=7\\3(\frac{2}{5} y+\frac{-9}{5})+5y=7\\(3)(\frac{2}{5} y)+(3)(\frac{-9}{5})+5y=7\\\frac{6}{5} y+\frac{-27}{5}+5y=7\\\frac{6}{5} y+\frac{25}{5}y +\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}+\frac{27}{5}=7+\frac{27}{5}\\\frac{31}{5} y=\frac{62}{5} \\\frac{\frac{31}{5} y}{\frac{31}{5}} =\frac{\frac{62}{5} }{\frac{31}{5}} \\y=2[/tex]
Now we can sub in 2 for y in one of the equations
[tex]3x+5(2)=7\\3x+10=7\\3x+10-10=7-10\\3x=-3\\\frac{3x}{3} =\frac{-3}{3} \\x=-1[/tex]
x=-1 and y=2 giving us the point (-1, 2)
Which of the following are square roots of the number below? Check all that
apply.
196
A. -14
B. 196^1/2
C. 14
D. 98
E. 7
F. -196^1/2
Answer:
B. 196^1/2
C. 14
Step-by-step explanation:
Square root of 196=14
196^1/2=14
Please help ASAP!!! Tysm :)
Answer:
Hope that will help you
Step-by-step explanation:
BD = 14.5
PLEASE HELP!!! PLEASE!!!
What is my average speed if I travel x mph for t hrs and then y mph for t hrs?
Thanks!
Answer:
Average speed = [tex]\frac{(x+y)}{2}[/tex] miles per hour
Step-by-step explanation:
Formula to calculate the average speed of an object is,
Average speed = [tex]\frac{\text{Total distance covered}}{\text{Time taken to cover this distance}}[/tex]
If I travel with the speed of x mph for t hours,
Total distance covered = Speed × Time
= [tex]x\times t[/tex]
= [tex]xt[/tex] miles
Similarly, if I travel with the speed y mph for t hours,
Total distance covered = [tex]yt[/tex] miles
Total distance covered by me = [tex](xt+yt)[/tex] miles
Total time taken to cover this distance = [tex]t+t[/tex]
= [tex]2t[/tex] hours
Therefore, expression for the average speed will be,
Average speed = [tex]\frac{xt+yt}{2t}[/tex]
= [tex]\frac{(x+y)t}{2t}[/tex]
= [tex]\frac{x+y}{2}[/tex] miles per hour
An amount of 25,000 is borrow for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Answer: [tex]55,811.91[/tex]
Step-by-step explanation:
Given
Principal amount is 25,000
Time Period is [tex]t=15\ yr[/tex]
Rate of interest [tex]r=5.5\%[/tex]
Amount in compound interest is given by
[tex]\Rightarrow A=P\left(1+r\%\right)^t[/tex]
Insert the values
[tex]\Rightarrow A=25,000(1+\dfrac{5.5}{100})^{15}\\\\\Rightarrow A=25,000(1.055)^{15}\\\Rightarrow A=55,811.91[/tex]
Therefore, [tex]55,811.91[/tex] must be paid back
Complete the equation: 2^2 – 14x + __ = (_)^2
A. –14; 2 + 14
B. -14; 2 – 14
C. 49; 2 +7
D. 49; r - 7
Five students are lined up in a row. How
many arrangements could be made if
the position of the last boy remains
unchanged?
(WAEC)
Step-by-step explanation:
16 arrangement can be done
The 24 arrangements could be made if the position of the last boy remains unchanged.
Arrangement
Arrangement is a plans or preparations for a future event.
How to solve this problem?The steps are as follow:
Given, Five students are lined up in a rowWe have make the arrangment such that last boy should remain unchangedTo find how many arrangements are possible in a set of objects, use the formula below, where x is the number of objects.x! , where,! is factorial
x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))
In this case we have to take x equal to 4 because last boy to remain unchanged∴ 4*3*2*1 = 24 arrangments
Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.
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Helppppp
A. 8/15
B. 8/17
C. 15/8
D. 15/17
Answer:
D
Step-by-step explanation:
sin theta is equal to perpendicular by hypotenuse
here perpendicular is equal to 15 and base is equal to 8 therefore hypotenuse will be equal to 17
on putting on putting the value of perpendicular by hypotenuse we get 15 by 17 as sin theta
Answer:
Step-by-step explanation:
hypotenuse = √(15²+8²) = √289 = 17
sinθ = (leg opposite θ)/hypotenuse = 15/17
How much would $500 invested at 5% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent
Answer:
$610.70
Step-by-step explanation:
[tex]a = pe^{rt}[/tex]
a = 500 [tex]e^{.05 * 4}[/tex]
a = $610.70
Pencils cost $0.30 each and pads of paper cost $1.25 each. You have $3.30 to spend and you need 6 pencils. How many pads of paper can you purchase?
Answer:
6 x 0,30 = $1,80
$3,30 - $1,80 = $1,50
$1,50 - $1,25 = $0,25 (not enough money)
you can buy 1 pad of paper
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
If you vertically compress the absolute value parent function, (x) = |X|, by a
factor of 4, what is the equation of the new function?
O A. g(x) = |4x|
O B. g(x) = 1/4 |x|
O C. g(x) = 4|x|
O D. g(x) = |x-4|
pls mark me as brainlist
thanks a lot
[tex]\text{Solve for 'x'.}\\\\3x + 15 = 33\\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x=6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3x + 15 = 33\\--------------\\\rightarrow 3x + 15 - 15 = 33 - 15\\\\\rightarrow 3x = 18\\\\\rightarrow \frac{3x=18}{3}\\\\\rightarrow \boxed{x = 6}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=6
Step-by-step explanation:
3x+15=33
or as, 3x=33-15
or as, 3x=18
x=18/3=6
so we got 6 is the answer
The area of a square garden is 40000/1600 square meters. Find the side length of the garden in meters.
Answer:
5 ..... 144/16 = 25 sqrt(25) = 5
Step-by-step explanation:
Solve the attachment...
Answer:
Step-by-step explanation:
= [tex]\int\limits^1_0 {5x\sqrt{x} } \, dx[/tex]
= [tex]\int\limits^1_0 {5xx^{1/2} } \, dx[/tex]
= [tex]\int\limits^1_0 {5x^{3/2} } \, dx[/tex]
= 5 [tex]\int\limits^1_0 {x^{3/2} } \, dx[/tex]
= 5*[tex]\frac{2}{5}[/tex]*[tex]x^{5/2}[/tex] |[tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right] \left[/tex]
= 5*[tex]\frac{2}{5}[/tex]*[tex]1^{5/2}[/tex]
= 2
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Andrew lives at an altitude of 135 feet, and his friend Lisa lives at an altitude of -10 feet.
Andrew or Lisa residence is higher than Andrew or Lisa
residence.
Answer:
Andrew's residence is higher
You want to randomly arrange 4 discs in a CD rack. What is the probability that the rack ends up in alphabetical order
Answer:
The probability is 1/24
Step-by-step explanation:
The total number of possible arrangements is;
4! = 4 * 3 * 2 * 1 = 24
Now, out of all these, there is only one possible correct alphabetical arrangement
so, to get this probability, we have to divide 1 by the total number of possible arrangements
we have this simply as 1/24
if x = 3 and y = 2, then the value of ( x - y )(x² + xy + y²) is
(a) 31 (b) 19 (c) 1 (d) 25
Answer:
19
Step-by-step explanation:
(3-2)(3^2+3x2+2^2)
(1)(9+6+4)
(1)(19)
[tex]\displaystyle\bf \underbrace{ (x-y)(x^2+xy+y^2)}}_{x^3-y^3}=3^3-2^3=19\\\\Answer: b)19[/tex]
Hello can someone help me with this problem
Create 5 examples of gains and losses using positive and negative numbers. Explain your examples.
Answer:
Look below...
Step-by-step explanation:
Losing 7 cards in a deck: -7. Losing means negative.
Saving $102 in your wallet: 102. You are saving, that means you gain.
336 feet below sea level: -336. Below indicates less than 0, which is negative.
Depositing $43 into your bank account: 43. Depositing means putting. If you put $43 in YOUR bank account, the bank account gains money. So you gain money. Making it positive.
1,000 feet above sea level: 1,000. Above indicates more than zero. Anything more than zero on a number line is positive.
Hope this helps :)
use abc to find the value of sin b
Answer:
12/37
Step-by-step explanation:
We know ,
=> sin B = p/h
=> sin B = 12/ 37
Answer:
Step-by-step explanation:
[tex]Sin \ B = \frac{opposite \ side }{hypotenuse}\\\\Sin \ B = \frac{35}{37}\\\\[/tex]
Which of the following is an even function?
Answer:
thats right
Step-by-step explanation:
odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)
Helpppppp and explain toooo thankyouuuu
Step 1: Distribute
5x + 10 - 3x > 7 - 4x + 12
Step 2: Combine like terms
2x + 10 > -4x + 19
Step 3: Move all variable terms to one side, and all constants to the other
6x + 10 > 19
6x > 9
Step 4: Divide
x > 9 / 6
x > 1.5
Hope this helps!
FERNAVN
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Roger has 50 ounces of water. If he drinks 30% of it, how
much water will he have left?
Answer:
35 ounces
Step-by-step explanation:
If Roger drinks 30% of the water, that means there will be 70% of it left. We can turn percentages into decimals by dividing them by 100. If we multiply 50 by 0.7, we get 35 ounces.
HELP WILL GIVE BRAINLIEST
Answer:
A. hexagonal prism
Step-by-step explanation:
The box has 2 congruent hexagons as bases, and 6 congruent rectangles as sides.
Answer: hexagonal prism
Find the measure of the missing angle using the triangle angle sum theorem
Answer:
m∠60
Step-by-step explanation:
30 + 90 = 120
180-120=60
Answer:
x = 60°
Step-by-step explanation:
A triangle is equal to 180°
Make an equation and solve:
30° + 90° + x = 180°
120° + x = 180°
x = 180° - 120°
x = 60°