The frequency table above is presented as a pie chart
The sectorial angle of score"3" is ....
Answers
Answer:
[tex]Angle = 96[/tex]
Step-by-step explanation:
Given
The frequency table
Required:
Determine the sectorial angle of "3"
First we need to determine the total frequency;
[tex]Total = 3 + 4 + 6 +8 + 5 + 4[/tex]
[tex]Total = 30[/tex]
The sectorial angle is calculated as thus;
[tex]Angle = \frac{Frequency}{Total\ Frequency} * 360[/tex]
Where Frequency of "3" = 8
So;
[tex]Angle = \frac{8}{30} * 360[/tex]
[tex]Angle = \frac{8* 360}{30}[/tex]
[tex]Angle = \frac{2880}{30}[/tex]
[tex]Angle = 96[/tex]
Hence; the sectorial angle of "3" is 96
Related Questions
Find the area of the shape shown below.
Answers
Answer:
31.5
Step-by-step explanation:
We can add the areas together
We have a rectangle and a triangle
The area of the rectangle is
A = lw
= 7*3
= 21
The area of the triangle is
A = 1/2 bh
= 1/2 (7)*3
= 21/2
= 10.5
Add them together
A = 21 + 10.5
=31.5
Answer:
31 1/2
Step-by-step explanation:
You find the area for the triangle on top and the rectangle on the bottom. In order to find the area of the triangle, multiply 7 and 3. Then divide the product which is 21 by 2. So the area of the triangle is 21/2 which could also be written as 10 1/2. Next, you find the area of the rectangle which is 7x3. You get 21. Finally, you add the two areas to get 31 1/2. It could also be written as 63/2 or 31.5
Identify the constant of proportionality from the table.
X: 4, 5, 7, 9
Y: 32, 40, 56, 72
Answers
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Answer:
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Step-by-step explanation:
Round the number 53.18474629
a) To the nearest tenth
b) To the nearest thousandth
c) To the nearest whole number
Answers
Answer:
Step-by-step explanation:
To the nearest tenth: 53.2
To the nearest thousandth: 53.185
To the nearest whole number: 53
PLEASE HELP PLEASE WILL MARK BRAINLY
Answers
Answer:
1,4,7,9,10
7,28,49,63,70
table thingy
Step-by-step explanation:
The amount multiplied is 7- we can divide or multiply accordingly because it is 7 dollars per feet of fencing.
The following set of numbers represents the number of hours a group of students spent reading over the course of two weeks.
3, 19, 11, 29, 4, 6, 10, 16, 2, 21, 15, 22, 13, 9, 1, 17, 2, 26, 18, 7
Graph the set on a histogram, using six intervals in the display. Make sure to label your graph.
Answers
Answer:
Step-by-step explanation:
Here is the histogram, please check the image
Answer:
34224
Step-by-step explanation:
42343
What are the restrictions of the domain of f(g(x))?
a) x is not equal to -5
b) x is not equal to -3
c) x is not equal to 2
d) There are no restrictions.
Answers
On the grid, draw a rotation of triangle ABC, a translation of triangle ABC, and a reflection of triangle ABC. Describe clearly how each was done.
Answers
Answer:
Step-by-step explanation:
An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms?
Answers
Answer:
The net charge on the four atoms is 12
Step-by-step explanation:
The given parameters are;
The charge of each electron = -1
The charge of each proton = + 1
The charge of each neutron = neutral
Therefore, if 3 electrons are removed from each of the three atoms, we have;
The quantity of net negative charge removed from the four atoms = 3 × -1 × 4 = -12
Given that the at the four atoms add equal number of protons and electrons, we have;
Original charge on the four atoms = n×(-1) + n×(+1) = 0
Therefore;
The net charge on the four atoms after removal of the 12 electrons = Original charge - (-12)
The net charge on the four atoms = 0 - (-12) = +12
The net charge on the four atoms = +12.
Add
4cosec 0+cosec 0+cosec 0+2cosec 0
step by step.
Answers
4cosec 0+cosec 0 + cosec 0 + 2 cosec 0
8 cosec 0
Solve the following system. y = (1/2)x^2 + 2x - 1 and 3x - y = 1 The solutions are (____)and (______ ) (remember to include the commas)
Answers
Answer:
x=0, 2. y=-1, 5.
Step-by-step explanation:
y=(1/2)x^2+2x-1
3x-y=1
---------------------
3x-y=1
y=3x-1
-----------
(1/2)x^2+2x-1=3x-1
(1/2)x^2+2x-3x-1-(-1)=0
(1/2)x^2-x-1+1=0
(1/2)x^2-x=0
factor out the x
x[(1/2)x-1]=0
zero property,
x=0, (1/2)x-1=0
-------------------
(1/2)x-1=0
1/2x=0+1
1/2x=1
x=1/(1/2)=(1/1)(2/1)=2/1=2
-----------------------------------
x=0, x=2
-------------
y=(1/2)(0)^2+2(0)-1=0+0-1=-1
-------------
y=3(0)-1=0-1=-1
-----------------------
y=(1/2)(2)^2+2(2)-1=(1/2)(4)+4-1=4/2+4-1=2+4-1=6-1=5
----------------------
y=3(2)-1=6-1=5
Answer:
The solutions are (0, -1) and (2, 5)
Step-by-step explanation:
y = (1/2)x^2 + 2x - 1 ------ eqn(I)
3x - y = 1
y = 3x - 1 ------------- eqn(II)
Equate eqn(I) & (II)
(1/2)x^2 + 2x - 1 = 3x - 1
Multiply each term by 2
x^2 + 4x - 2 = 6x - 2
x^2 + 4x - 6x = -2 + 2
x^2 - 2x = 0
x(x - 2) = 0
x = 0, 2
Substitute the values of x in eqn(II)
y = 3x - 1
When x = 0
y = 3(0) - 1 = 0 - 1 = -1
y = 3x - 1
When x = 2
y = 3(2) - 1 = 6 - 1 = 5
The solutions are (0, -1) and (2, 5)
plls 20 poinsts will mark brainlest
Answers
Answer:
My answer is in the attached image.
Help and show work plz
Answers
Answer:
RK: 4 and BC: 6
Step-by-step explanation:
SImilar triangles
find unknown / know sides
Which means (2x+2)/6 = (4x+2)/9
(X+1)/3 = (4x+2)/9
Multiply 9 to both sides
9/3 (x+1) = (4x+2)
3x+3 = 4x+2
1 = x
Answer: RK = 4, BC = 6
Step-by-step explanation:
In a similar triangle, the ratios of corresponding sides are the same. Thus, because of sides MK and AC, the triangles have a ratio of 6/9, or 2/3. Thus, you can determine that 2/3(4x+2)=2x+2.
Distribute
8/3x + 4/3 = 2x + 2
Subtract 2x
2/3x + 4/3 = 2
Subtract 4/3
2/3x=2/3
Divide by 2/3
x = 1
Then, simply plug-in 1 for x to get that RK is 4 and BC is 6
Hope it helps <3
ANSWER ASAP!!!!! How many liters of a 10% salt solution must be mixed with 5 liters of a 50% salt solution to give a 20% solution?
Answers
Answer:
15 liters
Step-by-step explanation:
Let v represent the number of liters of 10% solution to be mixed with 5 liters of a 50% solution to obtain a 20% solution. The amount of salt in the final solution is ...
0.10x +0.50(5) = 0.20(x+5)
1.5 = 0.10x . . . . . simplify, subtract 1+0.10x
15 = x . . . . . . . . . multiply by 10
15 liters of 10% solution must be added.
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 8 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 25 by 64 centimeters. Zach moved the existing sand to the new terrarium.
Answers
Answer:
5cm
Step-by-step explanation:
50cm x 20cm x 8cm = 8000cm^3
25cm x 64cm = 1600cm^2
1600x=8000
x=5cm
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below.
79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85
How many bars will his histogram have?
3
4
5
6
Answers
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 665 milliliters of the drug, how many milliliters of compound B are needed?
Answers
375 milliliters of compound B
Find the term that must be added to the equation x2+4x=1 to make it into a perfect square
Answers
Answer:
add 4 to each side
Step-by-step explanation:
x^2+4x=1
Take the coefficient of the x term
4
Divide by 2
4/2 =2
Square it
2^2 =4
Add this to each side
x^2+4x +4=1+4
(x+2) ^2 = 5
Find all points having an x- coordinator of 5 whose distance from the point (-1,-3) is 10. (type an ordered pair. Use a comma to separate answers as needed.)
Answers
Answer:
(5,5) and (5,-11)
Step-by-step explanation:
You can find this out by plotting a circle with the diameter of 10 on the point "(-1,-3)". Then find all the times the circle is on the x axis of 5.
Answer:
so when the mughal emperor humayun had died akbar his son was put as kind of india he was 10 yearls old when his father died and then Bairam Khan was elected as a regent for Akbar.
Step-by-step explanation:
During a science experiment, the temperature of a certain substance was recorded at three different times. Use this information to complete the statements below. The time at which the temperature is below 0°C is ___ (3:00,4:00,5:00) The time with the highest temperature is ___(3:00,4:00,5:00) The temperature at 3:00 is ____(closer too, farther from) 0°C than is the temperature at 4:00. HELP ASAP
Answers
Answer:
Step-by-step explanation: The time at which the temperature is below 0°C is 3:00
The time with the highest temperature is 4:00 The temperature at 3:00 is closer too zero than the temp at 4:00
How to do 28a ? Thanks
Answers
Answer:
Step-by-step explanation:
(m+1)²+(m-1)²=m²+2m+1+m²-2m+1=2m²+2=2(m²+1)
Answer:
True it does.
Step-by-step explanation:
(M+1)^2 + (M-1)^2 = 2(m^2 + 1)
M^2 + 2m + 1 + m^2 - 2m + 1 = 2(m^2 +1)
2m^2 + 1 = 2(m^2 + 1)
There's your work.
The ^ means number after is exponent.
Hope this helps, and have a good day :)!
Kitty buys hot chocolate sachets. There are 14 hot chocolate sachets in a small box. A small box costs £3.49. Kitty uses 3 hot chocolate sachets each day. Work out the how much Kitty spends on hot chocolate sachets in a four-week period.
Answers
Answer:
24.43
Step-by-step explanation:
first find the price of One sachets
next Find the no. of sachets consumed for four weeks..
and at last the product of the price of one sachet and no. of sachets consumed will give the answer...
Mathematical operation are above...
Plz Help me Asap. And explain
Answers
Answer:
n=(1/6) or n=-5/2
Step-by-step explanation:
|6n+7|=8
6n+7=8 or 6n+7=-8
6n=1 or 6n=-15
n=(1/6) or n=-5/2
Help, two of these questions plz
Answers
Answer:
First Answer: y= 64 and x=64
Second Answer: 1&4, 2&3, 6&7, 5&8
Step-by-step explanation:
First Answer: 63 and ∠y is the same measure since there are
Second answer: They are vertical angles, each of the pairs of opposite angles made by two intersecting lines.
Hope this helps:)
2) Angles 2= 3 = 6=7
Angles 1= 4=5 = 8
What is the Lowest Common Multiple (LCM) of 6 and 95
Answers
Answer:
570
Step-by-step explanation:
Least Common Multiple
The least common multiple (LCM) of two numbers is the smallest number that is even divisible by both numbers.
Hope this helps <3
Answer:
570
Step-by-step explanation:
Annabelle works in a department store selling clothing. She makes a guaranteed
salary of $500 per week, but is paid a commision on top of her base salary equal to
30% of her total sales for the week. How much would Annabelle make in a week in
which she made $2400 in sales? How much would Annabelle make in a week if she
made x dollars in sales?
Earnings when selling $2400:
Earnings when selling $x:
Answers
Answer:
No 1 would be 500 + 2400*30/100 = 500 + 720 = 1220
No 2 would be 500 + x*30/100
Step-by-step explanation:
Answer:
$1200 and 500+ .3x
Step-by-step explanation:
Use this equation: 500+ .3x and insert in 1200.
Made equation by taking garented amount, $500, and have that be added. Sense you get 30 percent of of x (the amount of sales), have x be multiplied by .3 to get 30 percent.
COME ON!! What’s the answer 53 points!
Answers
Answer:
X : -6, 3, 15, -12
Y : 11, 5, -3, 15
Step-by-step explanation:
Hey there!
To find the y values we need to plug the x values into th given equation,
y = -2/3x + 7
-6 ⇒ 11
15 ⇒ -3
Now we have a x value missing to that that we work backwards,
we plug in 15 for y in the given equation,
15 ⇒-12
Hope this helps :)
Step-by-step explanation:
[tex]y = - \frac{2}{3} x + 7[/tex]
Substituting the values of x into the expression we have
For x = - 6[tex]y = - \frac{2 }{3} ( - 6) + 7[/tex]
y = 11 For y = 5Make x the subject
[tex]5 = - \frac{2}{3} x + 7[/tex]
Multiply through by 3
15 = - 2x + 21
-2x = 15 - 21
- 2x = - 6
Divide both sides by - 2
x = 3For x = 15[tex]y = - \frac{2}{3} (15) + 7[/tex]
y = - 10 + 7
y = - 3For y = 15[tex]15 = - \frac{2}{3} x + 7[/tex]
Multiply through by 3
45 = - 2x + 21
- 2x = 45 - 21
- 2x = 24
Divide both sides by - 2
x = - 12Hope this helps you
Find the square root of 25 6 4 5 7
Answers
Answer:
5 is the answer
............
Answer:
5
Step-by-step explanation:
What number multiplied by itself gives you 25
5*5 = 25
sqrt(25) = 5
If f(x) = 3x+1, then f(a+h) - f(a) =
1. 03 h
2. h
3. 3 h + 2
Answers
But I tried my best ! Hope you understand !!
Please if anyone could answer this question. Me and my friends tried but only got headache at last. Kinda stuck in this question now.
Answers
Answer:
3/4 of the whole day(24 hours)
Step-by-step explanation:
1/3 of 24 hours equal to 8 hours. He slept for 8 hours. So his waking time equals 24-8=16
5/8 of his waking time (16 hours ) equal to 10 hours.
now total time spent in his house 10 + 8 = 18
in fraction 18/24 = 3/4
He slept 1/3 of the day, and is awake 2/3 of the day (note that 1/3 + 2/3 = 3/3 = 1)
2/3 of 5/8 = (2/3)*(5/8) = (2*5)/(3*8) = 10/24 = 5/12 of the day is spent at home when he is awake
Add 1/3 and 5/12 to get
1/3 + 5/12 = 4/12 + 5/12 = (4+5)/12 = 9/12 = 3/4
He spent 3/4 of a whole day at home (equivalent to 18 hours)
Answer: 3/44x = 2x + 2x + 5(x-x) does this have one solution, no solution or infinite solutions
Answers
Answer:
infinite solutions
Step-by-step explanation:
4x = 2x + 2x + 5(x-x)
Simplify
4x = 2x + 2x + 5*0
4x = 2x + 2x
4x = 4x
Divide by x
4 =4
This is always true so this has infinite solutions