Answer:
0.125 m²
Step-by-step explanation:
The area of a rectangle is the product of its length and breadth. Therefore:
area of the rectangle = length (l) × breadth (b) = 1 m².
l × b = 1
A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.
Area of triangle = 1/2(base × height) = [tex]\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb[/tex]
since lb = 1:
Area of triangle = [tex]\frac{1}{8}*1=0.125m^2[/tex]
Can anybody help with this one?
Answer: (-2,2)
see below
Step-by-step explanation:
Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]m-6(n+2)=-8\\6n+m=16[/tex]
Rearrange the second equation and substitute it into the first equation.
[tex]m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1[/tex]
Now we can use our value of n, and substitute it into the second equation to solve for m.
[tex]6(1)+m=16\\6+m=16\\m=10[/tex]
Now we can divide our values.
[tex]\frac{n}{m}=\frac{1}{10}[/tex]
i would appreciate if you do a step by step work pls !!
Answer:
A. 2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
cos 60° = y / 4[tex]\sqrt{3}[/tex]
cos 60° = 1/2
y = 2[tex]\sqrt{3}[/tex]
what is the greatest common factor of 8x*3-6x*2y*2+4x*2y and 2x*2
Answer:
Step-by-step explanation:
Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.
To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:
1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.
The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.
The prime factorization for each of the coefficients is as follows.
8: 2³
6: 2 · 3
4: 2²
We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.
Now, we look at our x variables and y variables.
For x, we have x³ and x². So, our GCF is x².
Our GCF is now 2x². Now, let's look at our y-variables.
We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².
PLZ HELP 15 PTS
If [tex]A=\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right][/tex]and [tex]AB=\left[\begin{array}{ccc}24\\-46\\-2\end{array}\right][/tex], what is the value of matrix B?
Answer:
C ) B = [tex]\left[\begin{array}{ccc}1\\3\\-5\end{array}\right][/tex]
Step-by-step explanation:
You are playing a game in which each player wins, loses, or draws (ties) at each turn. For each turn won, you are awarded 5 points. If you lose the turn, you lose 5 points. If it is a draw, you get 0 points. For the first dozen rounds, you had the following results: win, win, draw, win, lose, lose, win, lose, draw, lose, lose, lose. What was your point total for the rounds?
Answer:
-10 because you lost twice more than you won.
Hope this helps!
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answer:
Complement 60 Supplement 150
Step-by-step explanation:
the complementary angle is an angle that is added to your original angle of 30° to get 90°
Complementary Angle = 90 - 30°
Complementary Angle = 60°
The supplementary angle is an angle that is added to your original angle of 30° to get 180°
Supplementary Angle = 180 - 30°
Supplementary Angle = 150°
M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540
Answer:
So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -
r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.
Brainliest?
This answer took a long time to write, so I hope you appreciate it.
Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22
Answer:
-8y = 6
Step-by-step explanation:
-6x+4y = -8
6x -12y = 14
Add the equations
-6x+4y = -8
6x -12y = 14
--------------------
0x -8y = 6
Answer:
Negative 8 y = 6
Step-by-step explanation:
6x + 4y = - 8.... (1)
6x -12y = 14....... (2)
Adding (1) & (2)
- 6x + 4y = - 8
6x - 12y = 14
--------------------
0x -8y = 6
= - 8y = 6
Hope this helps!
If 2x + y = 32 and 3x + 4y =68 find the value of x/y
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...
In a cookie mix, we find oatmeal cookies,
raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?
Answer:
100 : 20 : 60 Making the total number of cookies 180
Step-by-step explanation:
Looking at the basic information given we know:
If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.
So, we have equations like this:
[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]
So, if we plug in 60 for butter cookies we will have something like this:
[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60
Solving:
[tex](5/3b) : (1/3b) : b[/tex]
[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]
Then add the amounts of together to get 180.
I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.
27 131 Marks
Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
Number of sweets
in a bag
Frequency
39 1
40 2
41 5
42 0
43 1
How many sweets are in the 10th bag?
Answer:
The number of sweets in the 10th bag is 53
Step-by-step explanation:
Given
Let the Number of sweets in a bag be represented by x and frequency be represented by f
The table is as follows
x F
39 1
40 2
41 5
42 0
43 1
Mean = 42
Required
How many sweets are in the 10th bag?
Represent the number of sweets in the 10th bag by y;
The table becomes
x F
39 1
40 2
41 5
42 0
43 1
y 1
The mean of observation is calculated using the following formula;
Mean = ∑fx/∑f
Where ∑ means summation
fx means f * x; i.e. product of frequency and number of sweets
f represents frequency;
Calculating ∑fx
∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1
∑fx = 39 + 80+ 205 + 0 + 43 + y
∑fx = 367 + y
Calcuating ∑f
∑f = 1 + 2 + 5 + 0 + 1 + 1
∑f = 10
Recall that
Mean = ∑fx/∑f and Mean = 42;
So, Mean = ∑fx/∑f becomes
[tex]42 = \frac{367 + y}{10}[/tex]
Multiply both sides by 10
[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]
[tex]420 = 367 + y[/tex]
Subtract 367 from both sides
[tex]420 - 367= 367 -367 + y[/tex]
[tex]53 = y[/tex]
[tex]y = 53[/tex]
Hence, the number of sweets in the 10th bag is 53
The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.
Given :
The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.The following steps can be used in order to determine the total number of sweets in the 10th bag:
Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.
Step 2 - The formula of mean is given below:
[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]
Step 3 - Now, substitute the values of the known terms from the given table in the above expression.
[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]
Step 4 - Simplify the above expression.
[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]
So, the total number of sweets in the 10th bag is 53.
For more information, refer to the link given below:
https://brainly.com/question/521501
Sandra paid $85 for a dress that was on sale for 50% off. What was the original price of the dress?
Answer:
170$
Step-by-step explanation:
During the annual walk for peace, nina walked a total of six miles more than her husband ed. Their combined mileage was 46. Ed's company pledged to donate $1.00 for each mile that ed and nina walked. How many miles did nina walk?
Answer:
26miles
Step-by-step explanation:
Let Nina's husband's (Ed) mileage = x miles
Nina = (x + 6) miles
Combined mileage = 46
Nina's miles + Ed's miles = 46
x + (x+6) = 46
x+x+6 = 46
2x +6 = 46
2x = 46-6
2x = 40
x = 40/2 = 20miles
Nina's husband covered 20miles
Nina covered = x+6 = 20+6 = 26miles
Nina walked 26miles
the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner
Answer:
(1,1)
This is the answer
What represents the inverse of the function f(x)=4x?
Answer:
Dear user,
Answer to your query is provided below
The inverse of the function f(x)=4x is y=(x/4)
Step-by-step explanation:
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=4x becomes x=4y.
Now, solve the equation x=4y for y.
y=(x/4)
please help me with this question!
A cone-shaped vase has height 28 cm and radius 9 cm. An artist wants to fill the vase with colored sand. The sand comes in small packages, each of which is a cube with side length 3 cm. At most, how many packages of sand can the artist use without making the vase overflow?
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
87.97 packsStep-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
the expression for the volume of a cone is
[tex]v=\frac{1}{3} \pi r^2h[/tex]
Given data
height h= 28cM
radius r= 9cm
substituting the data the data into the expression for the volume we can solve for the volume
[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]
we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm
the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]
now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,
[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]
Find the lowest common multiple (LCM) of 6, 10 and 14. *
2 points
A. 30
B. 140
C. 210
D. 280
Answer:
C. 210
Step-by-step explanation:
Plugging it in directly
30/14=2.14 (not an integer)
140/6=23.33 (not an integer)
210/6=35
210/10=21
210/14=15
all of the above result in integers, so the answer is C.
D is not even checked because it is larger than 210
Need help with this question plz
Answer:
28.26 inches
Step-by-step explanation:
The diameter of the wheel is 3, so the circumference, or distance around the wheel, is 3.14 * 3 (pi times diameter)= 9.42. The wheel goes around 3 times, so 9.42*3=28.26
If the measure of angle 1 is (3x-4)º and the measure of angle 2 is (4x+10), what is the measure of angle 2 in degrees?
HELP !!!!!!!!!!!!!!!!!!!! Plz !!!!!!
Answer:
Angle 2 measures 58°
Step-by-step explanation:
Sum of all three angles formed = 180
Because the sum of angles on a straight line is always 180
Angle 1 =3x-4
Angle 2 = 4x+10
Angle 3= 90° (given)
So,
90+3x-4+4x+10=180
(4x+3x)+(90+10-4)= 180
7x+96=180
Bring 96 to the other side, making it negative,
7x = 180-96 = 84
x = 12
Therefore angle 2
= 4x+10
= (4)(12)+10
=48+10
=58°
Explain the meaning of “net” drawing. Provide an example.
The net of a 3D figure is the 2D surface area all laid out flat. One example would be that you have a box and you unwrapped the wrapping paper, placing it all flat on the table. By "placing it flat", I mean there are no portions that overlap. A 2D net is useful to help see that surface area is really just area. Specifically, surface area is the total area of each face of the 3D polyhedron.
What is the largest possible value
could take given that it must be an integer?
x<5
A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?
Answer:
1.54 million
Step-by-step explanation:
If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!
Answer:
the answer for this question is 1.54×10^6
Step-by-step explanation:
45%- Male
100%-45%=55%
55/100×(2.8×10^6)=1540000
=1.54×10^6
7. A box of facial tissue is 22 cm by 10.5 cm by 8 cm.
How much cardboard is on the outside surface?
(Pls!! show work)
Answer:
632.2 cm^2
Step-by-step explanation:
for this, you have to find the surface area:
area of side x 2: 22x10.5x2 = 46.2cm^2
area of top and bottom: 22 x 8 x 2 = 418 cm^2
area of front + back = 8 x 10.5 x 2 = 168 cm^2
sum = surface area = 632.2 cm^2
Please mark brainiest
if we include the end zones, a football field is 360 feet by 160 feet. What is the area of a football field in square feet? (Reminder: a football field is a rectangle - so to find the area you find length x width).
Answer:
A = 57,600 feet
Step-by-step explanation:
Area = length x width
A = 360 x 160
Which point is between points c and e
Answer:
the answer is D
Step-by-step explanation:
Find the slope of the line y=5x+4
Answer:
Slope = 5
Step-by-step explanation:
y = mx + b
m = slope
Slope = 5
Answer:
5
Step-by-step explanation:
Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.
True or false: the set of whole numbers is equal to the set of natural numbers
Answer:
False
Step-by-step explanation:
This statement is false.
The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}
We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}
Answer:
false
brainliest to me!
Step-by-step explanation:
0 is a whole number but not a natural number so its false!
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Answer:
C. 2 1/2
Step-by-step explanation:
Since there is a distance of 6 1/2 units, you have to add and subtract 6 1/2 from the number.
-4 - 6 1/2 = -10 1/2
-4 + 6 1/2 = 2 1/2
Looking at the answer choices, 2 1/2 can represent point Q.
Write the equation of the line that contains the
points (4, -7) and (1,5).
Answer:
y=-4x+9
Step-by-step explanation:
y=-4x+9
m=y2-y1/x2-x1
m= 5-(-7)/1-4
m=12/-3=-4
y=-7 m=-4 x=4 find b
y=mx+b
-7=4*4 +b
b=-7+16 = 9