Answer:
1. S.A of a cone = 565.56 cm².
2. S.A of a cone = 276.496 cm².
3. S.A of a sphere = 128.696 cm².
4. S.A of a sphere = 113.112 cm².
Step-by-step explanation:
Given the following data;
1. Radius, r = 15cm
Slant height, l = 12cm
Mathematically, the surface area of a cone is given by the formula;
Surface area of a cone = πrl
Substituting into the formula, we have;
S.A of a cone = 3.142 * 15 * 12
S.A of a cone = 3.142 * 180
S.A of a cone = 565.56 cm²
2. Radius, r = 8cm
Slant height, l = 11cm
Surface area of a cone = πrl
S.A of a cone = 3.142 * 8 * 11
S.A of a cone = 3.142 * 88
S.A of a cone = 276.496 cm²
3. Radius, r = 3.2 cm
Mathematically, the surface area of a sphere is given by the formula;
Surface area of a sphere = 4πr²
Substituting into the formula, we have;
S.A of a sphere = 4 * 3.142 * 3.2²
S.A of a sphere = 4 * 3.142 * 10.24
S.A of a sphere = 40.96 * 3.142
S.A of a sphere = 128.696 cm²
4. Diameter, d = 6cm
Radius, r = diameter/2 = 6/2 = 3 cm
Surface area of a sphere = 4πr²
S.A of a sphere = 4 * 3.142 * 3²
S.A of a sphere = 4 * 3.142 * 9
S.A of a sphere = 36 * 3.142
S.A of a sphere = 113.112 cm²
Lana expected 50 people to come to the picnic, but 60 people actually showed up.
Calculate the percent error.
Answer:
it is 10%
Step-by-step explanation:
60 - 50 = 10
What is the amplitude of the function below?
1
2
pi
2pi
Answer:
can you add a photo?
Step-by-step explanation:
The amplitude of the function is 6.5.
What is amplitude?The amplitude of a function is the amount by which the graph of the function travels above and below its midline.
When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine.
Given is graph, It intersects its midline at (-1/2pi,3.3), and it has a maximum point at (-2pi,9.8).
The amplitude of a function is the maximum displacement from the form a fixed point or from the origin.
From the graph, you take the initial position of the object from the broken red line which is equal to 3.3 at the Y axis.
The peak or the maximum value = 9.8
Amplitude = 9.8 - 3.3 = 6.5
The maximum displacement is at Y axis
Hence, the amplitude of the function is 6.5.
Learn more about amplitude, click;
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The complete question is :-
Below is the graph of a trigonometric function. It intersects its midline at (-1/2pi,3.3), and it has a
maximum point at (-2pi,9.8).
What is the amplitude of the function? Please show me how to do it too so I can do the rest of the problems
i need a huge amount f help
give the question and I will try if I couldn't srry
An office building is 18 meters high. What
calculation would convert its height to
yards? Use 1 meters = 1.09 yards.
Answer:
19.62 yards
Step-by-step explanation:
18 x 1.09 = 19.62
Pls I need alot of help
Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron –
a four‐sided shape with each side an equilateral triangle. Each side of the die contains
one of the digits 1, 2, 3, or 4.
a. Create the sample space of all possible outcomes if you were to roll the two dice
simultaneously. List the digit on the first die first and the digit on the second die
second (i.e. 1,1; 1,2; and so on.) (10 points)
b. What is the theoretical probability that the sum of the two numbers on a roll will
be five? (2 points)
c. If Grace and her friends were to roll the two dice 100 times, how many of the
100 times could they expect to roll the same number on each die? (In other
words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.) (4 points)
Answer:
Step-by-step explanation:
Very interesting problem. Be thankful it is not a six sided dice.
Part A
1 1
1 2
1 3
1 4
2 1
2 2
2 3
2 4
3 1
3 2
3 3
3 4
4 1
4 2
4 3
4 4
Part B
There are 16 possible out comes
1 4
4 1
2 3
3 2
4 out of the 16 outcomes are possible
P(5) = 4/16 = 0.25
Part C
The theoretical out come would be 4 times
4/16 = 0.25
On a hundred rolls, you would expect to get 25 sets of doubles.
Answer:
The correct answers are:
a.
1 1 1 2 1 3 1 4 2 1 2 2 2 3 2 4
3 1 3 2 3 3 3 4 4 1 4 2 4 3 4 4
b.
4 possible outcomes!
c.
25 sets!
Step-by-step explanation:
a.
Try making a probability by using the counting principle method.
1 1 1 2 1 3 1 4 2 1 2 2 2 3 2 4
3 1 3 2 3 3 3 4 4 1 4 2 4 3 4 4
These numbers are the possible outcomes. Each 2 numbers stand for 1 outcome.
b.
16 possible outcomes
1 4 4 1 2 3 3 2
4/16 possible
P(5) = 4/16 = 0.25
c.
The theoretical outcome = 4 times
4/16 = 0.25
25 sets of rolls are expected to be rolled on the same number per 100 rolls.
I hope this helps! Have a good day ;)
Please mark this as brainliest please! I would appreciate it! :)
Help plz:)))I’ll mark u Brainliest
Answer:
4/5
Step-by-step explanation:
Given :
A right angled triangle with sides 24 , 3 and 40 .And we need to find the value of sinZ .
We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,
[tex]:\implies[/tex] sinZ = p/h
[tex]:\implies[/tex] sin Z = 32/40
[tex]:\implies[/tex] sin Z = 4/5
Hence the renquired answer is 4/5.
If no one minds I need help!
Answer:
A and C
Step-by-step explanation:
Put the points on a graph and determine if they are perpendicular.
They are, in fact, perpendicular.
If the trend shown in the graph continues, how many tickets will be sold after 10 hours? *
Captionless Image
A) 10 tickets
B) 15 tickets
C) 25 tickets
D) 50 tickets
100 points
(algebra one)
describe and correct the error in comparing the graphs
Answer:
The error made is that the graph of [tex]y=x^{2} +3[/tex] is a vertical translation up by 3, instead of down.
Step-by-step explanation:
Exponential functions, when they are graphed, use the function [tex]f(x)=a(x-h)^{2} +k[/tex].
In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, [tex]y=x^{2}[/tex]. So, the translation is actually 3 units up compared to the graph of [tex]y=x^{2}[/tex].
Hope this helps and have an amazing day!! ❤
plzzzzzz help for a brianly
Answer:b
Step-by-step explanation:
Question is in image
Answer:
4x + 8x = 180
12x = 180
x = 15
Find area of this figure 3 ft 4 ft 5ft
Answer:
26.14
Step-by-step explanation:
For the triangles: 3*4=12
For the circle: 28.27/2=14.135
12+14.135=26.135
~26.14
Joseph is buying tomato seed packets and cucumber seed packets at the store. He plans to buy 7 seed packets of EACH type of plant. Cucumber seed packets cost $1.89 each.
Joseph spends a total of $23.24 on all the seed packets. Which of the following equations can be used to find how much each tomato seed packet (t) costs? Select ALL that apply.
A
23.24=1.89(7)+t
B
7(1.89)+7t=23.24
C
7t=10.00
D
23.24−13.23=7t
Answer:
B
Step-by-step explanation:
Elimanited C and D
what is the range function 2x +y=7 if the domain is (-4,-2,0,5,7)
Answer:
range: {15, 11, 7, -3, -7}
Step-by-step explanation:
when x = -4, y = 15
when x = 2, y = 11
when x = 0, y = 7
when x = 5, y = -3
when x = 7, y = -7
Please help!!! I've been trying to figure this out all day!
The American College of Sports Medicine considers age as one factor when it recommends low and
high heart rates during workout sessions.
For safe and efficient exercise, your heart rate should be between 55% and 90% of the maximum
heart rate level. The maximum heart rate is calculated by subtracting a person's age from 220
beats per minute.
(Let a represent a person's age and h represent the person's recommended heart rate.)
1. The following equation represents the low value for heart rate. Simplify the equation.
h = .55(220-a)
2. The following equation represents the high value for heart rate. Simplify the equation.
h = .90(220-a)
3. Use these two expressions to write a system of inequalities that represents the heart rate range
for safe and efficient exercise. (Hint: you need to write two separate inequalities)
Answer:
.55(220-a) + .90(220-a)
Step-by-step explanation:
What are the values for q that will make the equation true |4q+12|=4
Hi there! Solving the absolute value equation is like solving a quadratic equation.
[tex] \large{ |x| = a \longrightarrow x = \pm a}[/tex]
[tex] \large{ |x| = \begin{cases} x \: \: \: (x \geqslant 0) \\ - x \: \: \: (x < 0) \end{cases}}[/tex]
From the absolute equation:
[tex] \large{ |4q + 12| = 4}[/tex]
Cancel the absolute symbol and write plus-minus of 4.
[tex] \large{4q + 12 = \pm 4}[/tex]
Solve the equation for q-term.
[tex] \large{4q = \begin{cases} 4 - 12 \\ - 4 - 12 \end{cases}} \\ \large{4q = \begin{cases} - 8 \\ - 16 \end{cases}} \\ \large{q = \begin{cases} - \frac{8}{4} \\ - \frac{16}{4} \end{cases}} \\ \large{q = \begin{cases} - 2 \\ - 4 \end{cases}}[/tex]
Hence, the value of q are -2,-4
Answer
q = -2,-4What is equavalent 3 11/40.
The best estimate close to this answer 3 11/40
A. 2 1/2
B. 3 Plzz help me
C. 3 1/2
D. 4
Answer:
C. 3 1/2Step-by-step explanation:
Estimate the fraction part of the number.
11/40 > 10/40 = 1/4We can estimate the fraction part as 1/2 since its greater than 1/4.
The number becomes 3 1/2.
Best choice is C
Answer:
11/40>10/40=1/4 is a part of ½
so
best estimate is 3 ½.
Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated before 1940, 35% are dated from 1940 to 1980, and the rest are dated after 1980. How many coins in Jennifer’s collection are dated after 1980?
Answer:
Step-by-step explanation:
40% + 35 % = 80 % so 20% are dated after 1980
20% is .20 in decimal form
.20 (1600) = 320 coins dated after 1980
Plsss help will give brainlest no links or files plss
Answer:
1: 62
2: 118
3: 62
4: 118
Step-by-step explanation:
1 and 3 are opposite angles so they have the same measure. 2 and 1 are adjacent angles on a linear plane. since a line is 180 degrees and we know that one of the angles on this plane is 62, that means that angle 2 must be 180 - 62 which 118 degrees
2x + 12 = 18
I need to find the value of the variable and please show me how you got the answer
Answer:
x = 3
Step-by-step explanation:
2x + 12 = 18
The variable is "x" and to find the value of x we must get rid of everything on the left side of the equation.
We can easily do this by using inverse operations
To get rid of the 12, we subtract 12, because in the expression its adding and the inverse of addition is subtraction.
But remember whatever we do to one side we have to do to the other, so we subtract 12 from each side
12 - 12 cancels out
18 - 12 = 6
we now have 2x = 6
now we want to get rid of the 2
2x is the same as 2 times x which is multiplication
The inverse of multiplication is division, so to get rid of the 2 we divide each side by 2
2x / 2 = x
6 / 2 = 3
we're left with x = 3
The number of homeruns hit by each player on the Bobcats baseball team is listed below.
Which measure of center best describes the approximate number of homeruns hit by a typical Bobcat player?
12, 8, 4, 3, 3, 2, 2, 2, 0
Mode
Range
Median
Mean
Answer:
mean
Step-by-step explanation:
A random sample of 225 individuals working in a large city indicated that 45 are dissatisfied with their working conditions. Based upon this, compute a 90% confidence interval for the proportion of all individuals in this city who are dissatisfied with their working conditions. Then find the lower limit and upper limit of the 90% confidence interval.
Answer:
CI 90 % = [ 0,165 ; 0,235 ]
Lower limit 0,165
upper limit 0,235
Step-by-step explanation:
Sample information:
sample size n = 225
number of dissatisfied individuals x = 45
p = 45/225
p = 0,2 and q = 1 - p q = 1 - 0,2 q = 0,8
p*n = 0,2*225 = 45 and q*n = 0,8*225 = 180
p*n and q*n big enough to use the approximation of binomial distribution to normal distribution
90 % of Confidence Interval then a significance level is α = 10%
α = 0,1 in z table we get z(c) for that significance level
z(c) = 1,28
CI 90 % = [ p ± z(c)*√(p*q)/n ]
z(c) * √(p*q)/n = 1,28 * √ ( 0,2*0,8)/225
z(c) * √(p*q)/n = 1,28 * 0,027
z(c) * √(p*q)/n = 0,035
CI 90 % = [ 0,2 ± 0,035 ]
CI 90 % = [ 0,165 ; 0,235 ]
Lower limit 0,165
upper limit 0,235
Sequences and series!! Help please
So, its more like this:
Using the polar form, a complex number with modulus r and argument θ may be written
z = r(cos 0 + j sin θ)
It follows immediately from Euler’s relations that we can also write this complex number in
exponential form as :
z = [tex]re^{j0}[/tex]
When using this form you should ensure that all angles are measured in radians and not degrees.
The exponential form of a complex number is in widespread use in engineering and science. Since z = r(cosθ + isinθ) and since eiθ = cosθ + isinθ we therefore obtain another way in which to denote a complex number: z = reiθ, called the exponential form.
I'm leaning towards the answer choices A. and C.
But I'm sure it's A because of the two, C has an x. That's the only difference they have.
Here's another example,
Let z=x+iy, its exponential form comes from identifying it as the point (x,y) in the (Argand) plane. This basically amounts to writing it in what would be polar form in the real plane. Writing it as:
z =reiθ
. If you graph the point (x,y) and treat it as a vector its easy to see that r=|z| and θ=tan−1(yx).
For purely real numbers, they are already in exponential form since they are equal to their modulus and θ=0.
Also, you can write:
Re(z)=z+z¯2
if you want to write it purely in terms of z. Both of your numbers are purely real and thus they are already in exponential form. I suppose if you wanted to be strict about it you could write it as:
|1−z|=|1−z|e0i
HELP PLEASE!!
Explain the error in the following exercise;
then correct it.
Answer:
2/1x7/6=14/6=7/3
Step-by-step explanation:
Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.
‘Then simplify 14/6 to 7/3
WILL GIVE BRAINLIEST .
Answer:
the answer is c . hope it helps
which quadrant would contain the point -3, 3
please help!
thankyou!
Answer:
Quadrant 2
Step-by-step explanation:
(-3,3) when plotted on a graph fits into quadrant 2!
finding the slope to points
Answer: there’s no slope?
Step-by-step explanation: confused
Answer:ya where the slope at
Step-by-step explanation:
The measure of an angle is 89. Find the measure of its supplement
a. 91
b. 89
c. 90
d. 80
Answer:
A. 91
Step-by-step explanation:
Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180
Hope this helps. here are free cookies --->
50 POINTS PLEASE HELP
A normal work day for Carl is from 8:00 a.m. to 4:30 p.m. Carl wants to figure out the degree measure that the hour hand makes while he is at work. Carl believes that if he divides 360 by 12 and multiplies the result by 8.5 he will have the correct degrees the hour hand moves. Is Carl correct? If not, choose the appropriate explanation.
A
Yes, Carl is correct. The process he takes will give him the correct degrees the hour hand moves.
B
No, Carl is incorrect. He must take the number he ends up with and subtract it from 360.
C
No, Carl is incorrect. The hour hand will go around the clock 360 degrees.
D
No, Carl is incorrect. He must first multiply 360 by 12 and then divide by 8.5.
Answer:
The answer is B brainliest?
Step-by-step explanation:
Five friends built a marble tower. The marble tower had a curved track. The track was designed so that the marbles would move down the track in a circular path. The track ended on the floor. Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor. This is what they said:
Answer:
The best answer is of Keira's.
Step-by-step explanation:
The full question is as follows :
Given - Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor.
This is what they said:
Magda : '' I think it will roll in circles.''
Soledad : '' I think it will curve for a bit and then straighten out.''
Allen : '' I think it will roll out in one big curve.''
Keira : '' I think it will roll in a straight line,''
Rafael : '' I think it will zigzag for a little while.''
To find - Which friend do you most agree with ?
Proof -
The best answer is Keira's.
The marble having the track will travel in a straight line.
The behavior is true for all objects.
If no outside force act on an object, the object will travel in a straight line at a constant speed.
When the marble leaves the end of the track, it is no longer in contact with the walls of the track.
That is , the marble has no longer a center-pushing force.
According to Newton's First law, an object remains at rest or in uniform motion in a straight line unless acted upon by an external force.
Since, there is no longer a center-pushing force so the marble rolls off the end of the track in a straight line path across the floor.