Fig. A shows a paper cup in the shape of an inverted right circular cone. Its base radius is 4 cm and its slant height is 8.5 cm.
(a) Find the capacity of the paper cup.
(b) The paper cup is cut along PQ to form the sector in Fig. B. Find
(i) the area of the sector,
(ii) the angle of the sector.
(a)
Height of the cup
= [tex]\sqrt{ {8.5}^{2} - {4}^{2} }[/tex]
= 7.5 cm
The capacity of the cup
= [tex] \frac{1}{3} \times \pi \times {4}^{2} \times 7.5[/tex]
= 126 cm³ (cor. to 3 sig. fig.)
(b)(i)
The area of the sector
= [tex]\pi \times 4 \times 8.5[/tex]
= 107 cm² (cor. to 3 sig. fig.)
Can you help me for (b)(ii)?
9514 1404 393
Answer:
16π/17 radians ≈ 169.41°
Step-by-step explanation:
The arc length of the sector is the circumference of the cone:
C = 2πr = 2π(4 cm) = 8π cm
The angle and arc length are related by ...
s = rθ . . . . . θ in radians
8π cm = (8.5 cm)θ
θ = 8π/8.5 = 16π/17 . . . . radians
bii) The angle of the sector is 16π/17 radians ≈ 169.41°.
Answer:
169° (3sf)
Step-by-step explanation:
the area of a circle multiplied by the angle over 360 gives you ans.
x/360 × π × r²=34π -> ur ans frm part i
x × π(8.5²)=12240π
x × 72.25=12240
x=169.41°
On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza?
$4.38
$8.76
$23.28
$78.84
Answer:
$8.76
Step-by-step explanation:
$26.28 / 3 = $8.76 per pizza
Solve for x LT1 10th grade level
Answer:
x = 5
Step-by-step explanation:
Because the red-marked lines are parallel, we know that the ratios are the same
5x : 45 = 20 : 36
5x/45 = 20/36
5x * 36 = 20 * 45
5x * 4 = 20 * 5
5x * 1 = 5 * 5
x = 5
plsssss helppp sooonnnn
Answer:
4 and -6≤x<0
Step-by-step explanation:
6. 4
7. -6≤x<0
Describe the properties of equality that Kira used. The first step is to use the property of equality to combine the constant terms. The second step is to use the property of equality to isolate the variable.
Answer:
1. Subtraction property
2. Division property
Step-by-step explanation:
Question has missing details.
Kira's steps are:
[tex]\frac{7}{2} - 2x = \frac{11}{2}[/tex]
[tex]\frac{7}{2}- \frac{7}{2} - 2x = \frac{11}{2}- \frac{7}{2}[/tex]
[tex]- 2x \div -2= \frac{4}{2} \div -2[/tex]
[tex]x = -1[/tex]
Required
The properties used
For the first step, we have:
[tex]\frac{7}{2} - 2x = \frac{11}{2}[/tex]
To get to step 2, Kira subtracted [tex]\frac{7}{2}[/tex] from both sides.
i.e.
[tex]\frac{7}{2}- \frac{7}{2} - 2x = \frac{11}{2}- \frac{7}{2}[/tex]
This property is subtraction property
In the second step, where x is isolated.
[tex]- 2x \div -2= \frac{4}{2} \div -2[/tex]
Both sides of the equation were divided by -2 to give:
[tex]x = -1[/tex]
This property is division property
Answer:
person above correct
what is the sum of the following equation? 8/10+60/10=
Answer:
as a mixed number it's 6 4/5
Answer:
6.8
[tex]6\frac{4}{5}[/tex]
Step-by-step explanation:
Please help i know this is kind of easy but I am having a hard time with it unfortunately
Answer:
x=2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
if x^3 is = 8, then
x= ∛8
∛8 = 2
x=2
to check
2*2*2= 8
a spinner has 8 equal sections,6 are green .find probability that will land on green
Answer:
P(A) and P(B) = P(A) x P(B)
P(A) = number gray/total number of sections = 6/8 = 3/4
P(B) = number of reggae songs/total number of songs = 2/8 = 1/4
P(A) and P(B) = (3/4)(1/4) = 3/16
Step-by-step explanation:
Answer: 3/4 (0.75)
Step-by-step explanation:
6 out of 8 sections are green.
So there is a 6/8 probability that it will land on green.
6/8 = 3/4.
Pls pls pls pls pls help me I’m not sure Which one
Answer:
Step-by-step explanation:
-2.1 is negative
-2.0 is negative
-8.7 is negative
-6.3 is negative
4.5 is positive
What is the value of x?
A. 30
B. 42
C. 39
D. 85
Answer:
39
Step-by-step explanation:
102 + 39 + x = 180
180 - 141 = 39
39 is x
Hope this helps!
factorise x squared - 3x
Answer:
x squared -3× =x(x-3)
Step-by-step explanation:
Since the common factor is x,one comes out to multiply the other to give it x squared and since one x has been written outside already we just write the 3 so that when we multiply it we will get the answer we were asked to factorise
Please please please help me
Answer:
D. 17
Step-by-step explanation:
1. Set up an equation (2x + 5) + (3x + 10) = 100
2. 2x + 3x= 5x and 5 + 10 = 15
3. The equation simplified 5x + 15 = 100
4. Move the 15 to the other side of the equation. 5x = 100 - 15
5. 5x = 85
6. Finally, divide 85/5
7. Our final answer is 17.
Find the radius of a sphere with a volume of 180 cubic feet. Round your answer to the nearest tenth.
Answer:
3.50ft
Step-by-step explanation:
Given data
Volume= 180ft^3
The expression for the volume of a sphere is given as
Volume=4/3πr^3
substitute
180=4/3*3.142*r^3
180=12.568/3*r^3
180=4.189*r^3
r^3= 180/4.189
r^3= 42.969
cube root both sides
r= ∛ 42.969
r= 3.50ft
Hence the radius is 3.50ft
Determine if the number when converted to a decimal will result in a repeating or terminating decimal
5 divided by 10
helppppppppp id.k this
Answer:
-432 ,-2 ,2 ,72
Step-by-step explanation:
The Answer Is 2,592
This is because this is a geometric sequence, every number is multiplied by -6 to find the next number in the sequence.
Find the surface area of this prism. Please help 20 points!!!!!
Answer:
ima say 260. .................
Answer:
umm 247
Step-by-step explanation:
Find the volume of the clinder in the terms of π
Answer:
A) 127.16π m³
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
Given:
r = 3.4
h = 11
Work:
V = πr²h
V = π(3.4²)(11)
V = π(11.56)(11)
V = 127.16π
Answer:
hey bestie, its 127.16
Step-by-step explanation:
3.4 squared is 11.56
and 11.56 times 11 is 127.16
circumference of cylinder
Answer:
Circumference is the length around the cylinder.
Step-by-step explanation:
Also, follow Sammy Revv on Spotify
Answer:
To find the circumference of a cylinder, you have to be aware that a cylinder's cross-section is a circle. If you know the cylinder's radius: Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the cylinder.
Step-by-step explanation:
Magazines are packed into cartons for distribution. Each hour one person can pack 45 cartons. How many people are needed to pack 1200 cartons
Answer:
26
Step-by-step explanation:
One person can pack 45 cartoons per hour
Therefore the number of people needed to pack 1200 cartons can be calculated as follows
= 1200/45
= 26.66
= hence 26 people are needed to pack 1200 cartoons
what is the definition of an expression
Answer:
the process of making known one's thoughts or feelings.
Step-by-step explanation:
Next time you ask a question please tell us if it's in a math term or something, I did it in the Ela/reading term.
the process of making known one's thoughts or feelings.
For example, if you make someone laugh their expression would be happy or suprised. Expression is just a way of seeing someones thoughts and feelings.
Hope this helps!
Have a great day!
- Hailey: )
solve each of the following equations show solution set on a number line 3x-1=8
Answer:
x=3
Step-by-step explanation:
here u go!!! :)
answer
PLEASE HELP!!!
Give an example showing why one of the methods is not correct.
Answer:
Brandon's methot is not correct
for example: x=9 9×1/2=4.5
Here's why:
Let's use his method to find the square root of 36. That means we multiply 36 by 1/2 = 0.5 to get 36*0.5 = 18; however, 18 is not the square root of 36. We can see that 18*18 = 324. Instead, the square root of 36 is 6 because 6*6 = 36.
As another example, let's say we want to find the square root of 64. With Brandon's method, we would get to 64*0.5 = 32, but 32*32 = 1024. Ashley's method is correct and 8*8 = 64 shows that 8 is the square root of 64.
As a visual approach, think of a square with side lengths 8 feet each. The area would be 8*8 = 64 square feet. If you didn't know the side length, but you knew that the area was 64 square feet, then you could apply the square root operation to find the side length to be 8 feet (or you could effectively use Ashley's guess-and-check method to arrive at 8 feet). In short, the square root operation is the opposite of squaring a number. We consider these inverse operations.
Multiplying by 1/2 is the same as dividing by 2. Division is the opposite of multiplication, and division is not the inverse of squaring a number. It's just a coincidence that Brandon's method happened to work on the value 4. But as shown earlier, it doesn't work in general.
Check Your Understanding Are you more likely to win a random drawing if you crinkle the paper that contains your name before putting it into the drawing box? A curious student conducted a study to investigate. The student took 100 equal sized slips of paper and crinkled 25 of them before putting them all into a box. After mixing well, they asked an uninformed person to select a winner at random. The student noted if the slip was crinkled. The slip was returned to the box, mixed well, and asked another uninformed person to select a winner at random. This process was repeated 10 times. Let Y = the number of times that a crinkled paper was selected.
Answer: hello your question to the given scenerio is missing below is the missing question
question: Does this setting represent a Binomial distribution ?
answer : Yes the setting represents a Binomial distribution
Step-by-step explanation:
The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present which are
The random variable ( number of times a crinkled paper is picked ) is represented as Y Each sample is drawn independently and with replacement there are only two outcomes ( success or failure )Number of trials is given as 10 probability of success = 25 / 100 = 0.25yes, this setting represent the binomial distribution.
Given that,
The student took 100 equal sized slips of paper and crinkled 25 of them before putting them all into a box.
After mixing well, they asked an uninformed person to select a winner at random.
We have to determine,
Does this setting represent a Binomial distribution.
According to the question,
Let Y = the number of times that a crinkled paper was selected.
The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present .
These are the points which represents the given representation is a binomial distribution.
The random variable ( number of times a crinkled paper is picked ) is represented as Y.
Each sample is drawn independently and with replacement.
There are only two outcomes ( success or failure ).
Number of trials is given as 10 times repeated.
The probability of the success,
[tex]Probability\ of \ success = \dfrac{25}{100} = 0.25[/tex]
Hence, yes this setting represent the binomial distribution.
To know more about the Binomial distribution click the link given below.
https://brainly.com/question/23413408
I need help with this elimination problem
Add up the same sides of both equations to eliminate x :
(x - 2y) + (-x + 3y) = 8 + (-5)
(x - x) + (-2y + 3y) = 8 - 5
y = 3
Then
x - 2y = x - 6 = 8 → x = 14
Algunos estudiantes se repartieron una bolsa de galletas. Todos tomaron la misma cantidad y sobraron 5
Select all the expressions that are equivalent to x2+4x. (^2 means raising something to the 2nd power.)
Answer:
(x+4)x
Step-by-step explanation:
The factor of the expression into an equivalent form x² + 4x would be; x(x + 4)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression into an equivalent form x² + 4x
This expression could also be given by;
x² + 4x
Then factor out x we get;
x² + 4x = x(x + 4)
Hence, the expression into an equivalent form x² + 4x would be; x(x + 4)
Learn more about expression here;
brainly.com/question/14083225
#SPJ2
help me please!:(
this is geometry
Answer:
23.9cm^3
Step-by-step explanation:
Which of the following expressions is a factor of 2x2 – 112 + 15?
Answer:
Step-by-step explanation:
where are the expressions?
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
100-meter Race
ty
100
80
Distance (m)
60
40
20
0
0
2
10
4 6 8
Time (s)
The slope of the line is Choose..
The slope represents
Choose.
Answer:
l
Step-by-step explanation:
Find the indicated measure. Round answers to the nearest hundredth.