Answer:
Point B coordinates' are: (3.2, 1.6)
Step-by-step explanation:
Since this is a rhomboid the diagonals AC and OB, must be perpendicular to each other. Then we can find first the equation of the line where segment AC lies, seeing that this line will cross the y axis at the point (0,4), and the x axis at the point (2, 0). The line can then be obtained by calculating the slope of the segment that joins the two points, and then using that the line's y-intercept must be at the point (0, 4):
[tex]slope=\frac{0-4}{2-0} =-2[/tex]
then the equation of the line for segment AC must be:
[tex]y=-2x+4[/tex]
Next, we calculate the equation of a perpendicular line to the previous one, and that passes through the point (0, 0) to determine the equation of the line that contains the segment OB. Recall that the perpendicular line to one of slope m must have a slope given by: -1/m (the opposite of the reciprocal of "m". Then this new perpendicular line passing through (0, 0) must be given by:
[tex]y=\frac{1}{2} x+0\\y=\frac{1}{2} x[/tex]
Now we can find the point at which both lines intersect:
[tex]\frac{1}{2} x=-2x+4\\\frac{1}{2} x+2x=4\\\frac{5}{2} x = 4\\x=\frac{8}{5}[/tex]
and therefore the y value of the intersection point can be calculated via:
[tex]y=\frac{1}{2} x\\y=\frac{1}{2} (\frac{8}{5} )\\y=\frac{4}{5}[/tex]
Then, point point B must be located at an x value that doubles the x value of the intersecting point, and similarly the y value of point B must be at the double of the value of the intersection point we just calculated. That is:
Point B = [tex](2\,*\frac{8}{5} ,\,2\,*\frac{4}{5} )=(\frac{16}{5} ,\frac{8}{5}) =(3.2,1.6)[/tex]
We can see the coordinates of point B and the lines we just generated in the attached image.
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answer:
not d
Step-by-step explanation:
i tried it hehhe
Answer: 60 square units
Step-by-step explanation:
An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years
Answer:
y = 7,595.96(1.02)x
Step-by-step explanation:
y = 7,595.96(1.02)x
a normal linear equation is basically y = x + b
in this case,
y = amount of money in the bank accountx = number of yearsb is not required because there are no new deposits or withdrawals from the accountSince the accounts earns 2% interest per year, then you need to multiply the original amount by 1.02. As more years pass, the account will increase by 1.02, so the account increases by 1.02x. Since the original amount is $7,595.96, that will be our starting point.
Answer:
C y = 7,595.96(1.02)x
Step-by-step explanation:
It costs $20 for each metre of
border edge for a rectangular area.
What is the greatest area someone can enclose by spending $4500?
FREE
EE
Help ASAP Wich graph represents the compound inequality?
n<-2 or n 4
-5 -4 -3 -2 -1 0 1
2
3 4 5
>
A+++
-5 4 -3 -2 -1 0 1
2
34
5
5 4 -3 -2 -1 0 1
2
3 4
5
-5 4 -3 -2 -1 0 1 2
3
4 5
Answer:
Option (3)
Step-by-step explanation:
Inequality n < -2 will be represented on a number line as,
A ray starting form -2 with a hollow circle directing towards -5.
Similarly, other inequality n ≥ 4 will be represented by a ray heading towards positive integers with a staring point 4 marked with a dark circle.
By combining these inequalities on a number line we get Option (3) as a correct option.
The pictogram shows what people ate when they went to a restaurant.
a) 32 people ate chicken.
How many people does
represent?
Chicken
Beef
Fish
Vegetarian
b) Altogether, how many people
went to the restaurant?
pls help
Answer:
Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together
chicken=128
beef= 80
fish=32
vegetarian=112
128+80+32+112= 352 people ate at the restaurant
Answer:
Altogether, 88 people went to the restaurant.
Step-by-step explanation:
Suppose that p partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
Given : p partners equally share the profits from a sale of $3,600
To find : Which algebraic expression represents this situation
Solution:
Number of Partners = p
Total Profit = $ 3600
Profit of Each Partner = Total Profit / number of Partners
=> Profit of Each Partner = 3600 / p
Hence is algebraic expression that represent the Share of each partner
Answer:
D
Step-by-step explanation:
100% on quiz
the total surface area of a cube is 294cm2. work out the volume of the cube.
Answer: 343 cm³
Step-by-step explanation:
The surface area of a cube is 6s^2, where s is the side length of a square. Thus, first do 294/6 to get 49. Then take the square root of 49 to get that each side of the cube is 7. The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3
Hope it helps <3
Answer:
V =343 cm^3
Step-by-step explanation:
The surface area of a cube is given by
SA = 6s^2 where s is the side length
294 = 6s^2
Divide by 6
294 / 6 = s^2
49 = s^2
Take the square root of each side
sqrt(49) = sqrt(s^2)
7 =s
The volume of a cube is
V = s^3
V = 7^3
V =343 cm^3
Use long division to find the quotient below.
(30x3 + 4x2 - 150) = (3x - 5)
A. 10x2 - 24x + 30
B. 10x2 + 24x+ 30
c. 10x2 + 18x+ 30
D. 10x2 - 18x+ 30
PLZZ PLS PLZZZ HELP‼️
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~~
Your answer would be (C) 10x2 + 18x+ 30
~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you!
P . S I would've put the explaintion but it's to long.
If the least value the variable k can be is 12, which of the following inequalities best shows all the possible values of k? (3 points) k 12 k ≤ 12 k ≥ 12
Answer:
k≥12
Step-by-step explanation:
If k must be equal to or greater than 12, it can be expressed as k≥12. This is because the sign ≥ shows that k can both be 12 and could be higher than 12.
I hoped that helped!
:)
Answer:
c
Step-by-step explanation:
it says above
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
If a family threw away 2.4 Kg of aluminum in a month, how many cans did they throw away?
Answer:
150 cans
Step-by-step explanation:
i do not understand this , please help!
fill in the empty spaces ANSWERS 1 21 -7 7 6 24 -1 .5 2.4(5h+10)-3=27 12h+__-3=27 12h+__=27 12h=__ h=__
Answer:
h = 1/2
Step-by-step explanation:
Step 1: Write equation
2.4(5h + 10) - 3 = 27
Step 2: Distribute
12h + 24 - 3 = 27
Step 3: Combine like terms
12h + 21 = 27
Step 4: Subtract 21 on both sides
12h = 6
Step 5: Divide both sides by 12
h = 6/12
Step 6: Simplify
h = 1/2
Helppp!!!! please!!!
Answer:
B. 24700
Step-by-step explanation:
Answer:
b. 24700 cm³
Step-by-step explanation:
[tex]\frac{lwh}{3} \\\\65*30*38/3 = 24700 cm^3[/tex]
Hope this helps! :)
Please answer is question in two minutes
Answer:
C: 38 units
hope this helps!!
What is the slope of the line shown below?
We can use the points (-4, 3) and (3, 1) to solve.
Slope formula: y2-y1/x2-x1
1-3/3-(-4)
-2/7
Therefore, the answer is C
Best of Luck!
Answer:
-2/7
Step-by-step explanation:
To find the slope we use the formula
( -4,3) and ( 3,1) are two points on the line
m = ( y2-y1)/(x2-x1)
= ( 1-3)/( 3 - -4)
( 1-3) /(3+4)
-2/7
What is the length Y in this picture ?
Answer:
5
Step-by-step explanation:
The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 equals=not attractive; 10 equals=extremely attractive). find the range, variance, and standard deviation for the given sample data. can the results be used to describe the variation among attractiveness ratings for the population of adult males
Answer:
hello the data is missing but it is included in the explanation below
missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
Answer :
A) range = 9 , variance = 8.3015, standard deviation = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Step-by-step explanation:
A ) calculate the Range, variance and standard deviation
The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
i) Range = difference between largest and smallest values
= 10 -1 = 9
ii) variance = summation of ; (xi − x)^2/n-1
= 207.5385/26−1 ≈ 8.3015
iii) standard deviation = [tex]\sqrt{variance}[/tex]
= [tex]\sqrt{8.3015}[/tex] = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Identify the volume of the composite figure. Round to the nearest tenth. HELP PLS options: 143.8 in ^3 162.7in^3 4,712.4in^3 187.7in^3
Answer:
The volume of the composite figure is 162.7 in^3
Step-by-step explanation:
Here, we have a cylinder placed over a cube
The volume of the cube is L^3
With L being the length of its side = 5
The volume of the cube is 5^3 = 125 in^3
The volume of the cylinder is pi * r^2 * h
with r = 2 in and h = 3 in
The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3
Total volume is thus;
37.7 + 125 = 162.7 in^3
The perimeter of the rectangle is 26
Answer:
9
Step-by-step explanation:
Answer:
9m
Step-by-step explanation:
Let x be the length of the rectangle and P the perimeter
P= 4*2+ 2x
26= 8+2x
18= 2x
x= 9 m
At the deli, Alberto paid $24.33 for 7.4
pounds of sliced ham. What was the
price of one pound of sliced ham?
Answer:
About $3.28
Step-by-step explanation:
Divide 24.33 by 7.4
Answer:
3.28783783784...
Step-by-step explanation:
You're description could turn into 24.33 : 7.4.
You turn 7.4 into 1, and divide 7.4 / 1.
(It is 7.4)
Then, you divide 24.33 / 7.4.
It is 3.28783783784.......
or, If you want you're answer close to an natural number, It is 3.
AYUDAAA... ES PARA HOY
Answer: A para B
Step-by-step explanation: Me no a little espanol, y i think A par B, gracias hasta luego, mucho gusto!!
Two vectors are said to be parallel if they point in the same direction or if they point in opposite directions.
Part A
Are the vectors v1 = < V3, 1 >and va = <-13, -1 >parallel? Show your work and explain
Part B
Are the vectors Ui =< 2, 3 >and u2 =-3,-2 > parallel? Show your work and explain.
Answer:
When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by
[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]
So, we just need to find the angle for each vector and see if they are equivalent.
We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.
[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]
Which will give different angles in the end.
Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be
[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]
As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.
Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.
Help!!!! please!!!!!
Answer:
60 or 70
Step-by-step explanation:
Answer:
The shape is a trapezium; so use the formula for solving area of a trapezium to solve it. Which is
1/2(a+b)×h
=1/2(10+6)×7
=1/2 × 16 × 7
= 8×7
=56
Express each percent as a decimal:
7 1/2%
Answer:
0.075
Step-by-step explanation:
To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.
graph e(x) = √x − 10 .
Answer:
I Believe if so, this is your answer
Step-by-step explanation:
y = e ( x )
OR
y = √ x − 10
PLEASE HELP ME IM BEGGING IM REALLY STRUGGLING
Answer:
I hope it will help you.....
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)
Caroline, Colin & Sarah share some money in the ratio 1 : 9 : 1.
In total, Caroline and Sarah receive £28.
How much does Colin get?
Answer:
Colin got £126
Step-by-step explanation:
Here we want to know how much Colin got from the sharing.
We can collapse the ratio to mean;
Colin : Caroline + Sarah
= 9:1 + 1 = 9:2
So total ratio is 9 + 2 = 11
If Caroline and Sarah got £28 we need to find the total money shared
Let the total money shared be £x
Thus;
2/11 * x = 28
2x = 11 * 28
x = (11 * 28)/2
x = 11 * 14 = £154
So the amount of money Colin got would be;
£154 - £28 = £126
A circle with radius of 2 cm sits inside a 7cm x 11cm rectangle. what is the area of the shaded region?round your final answer to the nearest hundredth
Answer:
64.44cm^2
Step-by-step explanation:
11×7 -pi ×2^2=77-31.4×4=77-12.56= 64.44 cm^2
Please Help I will mark brainliest
Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)
Answer:
y = x-4
Step-by-step explanation:
The first thing we need here is to find the slope m of the line passing through the two points.
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (0,-4) and (x2,y2) = (5,1)
Thus; m = (1-(-4))/(5-0) = 5/5 =0
The standard form of the equation is;
y = mx + c
where m is the slope and c is the intercept. We already calculated m to be 1, so the equation of the line would be;
y = x + c
To get c, what we need to do is to use any of the points and substitute the values of x and y to get c
Let’s use (5,1)
1 = 5 + c
c = 1-5
c = -4
So the line would be
y = x -4