Answer:
[tex](a)\ Area = 195\pi[/tex]
[tex](b)\ Volume = 700\pi[/tex]
Step-by-step explanation:
Given
[tex]h = 12[/tex]
[tex]d_1 = 10[/tex] --- lower diameter
[tex]d_2 = 20[/tex] --- upper diameter
Solving (a): The curved surface area
This is calculated as:
[tex]Area = \pi l(r_1 + r_2)[/tex]
Where
[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius
[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius
And
[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum
[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]
[tex]l = \sqrt{12^2 + (-5)^2[/tex]
[tex]l = \sqrt{144 + 25[/tex]
[tex]l = \sqrt{169[/tex]
[tex]l = 13[/tex]
So, we have:
[tex]Area = \pi l(r_1 + r_2)[/tex]
[tex]Area = \pi * 13(5 + 10)[/tex]
[tex]Area = \pi * 13(15)[/tex]
[tex]Area = 195\pi[/tex]
Solving (b): The volume
This is calculated as:
[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]
This gives:
[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]
[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]
[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]
[tex]Volume = \pi *4 * 175[/tex]
[tex]Volume = 700\pi[/tex]
Maya owns a house valued at $432,600. She still owes $233,458 on her mortgage. How much equity does she have in the house? (3 points)
Answer:
$199,142
Step-by-step explanation:
Given that
The value of the house i.e. assets is $432,600
The mortgage i.e. liability is $233,458
We need to find out the equity
As we know that
The accounting equation is
Total assets = Total liabilities + total equity
$432,600 = $233,458 + total equity
So, the total equity is
= $432,600 - $233,458
= $199,142
Answer:
No, she is not correct. She has only $30,000 in home equity. Equity is the value of ownership in an asset minus any debts owed on it. $315,000 minus $285,000 is $30,000.
Step-by-step explanation:
Took it straight from EDG 2022
I need help on this question
Answer:
well first figure out the area of the parallelograms and divide the full area by the area of the pieces.
Step-by-step explanation:
which statement is the best example of the chemical weathering of water
Math question due today. 20 points.
A bathtub is the shape of a rectangular prism. The dimensions are 5 1/4 ft x 2 1/2 ft x 2 3/4 ft. What is the volume of the bathtub?
A. 10 1/2 ft
B. 36 3/32 ft
C. 14 7/16 ft
D. 13 1/8 ft
(No photo provided.)
Answer: 36 3/32 so the answer is B.
Step-by-step explanation:
Select the correct answer. Which of the following best describes physical science? Ο Α. the study of motion OB. the study of matter and energy O c. the study of Earth's structure and processes OD the study of reactions Ο Ε. the study of living things
Answer: Its Easily B The Question Is Easy
Answer:
Option B
Step-by-step explanation:
PLATO.
What is the best description of the relationship in the scatterplot below?
Chose 1 answer
A- positive linear association
B- negative linear association
C-Nonlinear association
D- no association
Answer:
a becuase it is just a so if you get that wroung dont blem me lol
Step-by-step explanation:
Answer:
A - Positive linear association
Step-by-step explanation:
You can see that the overall direction of the graph is going up, therefore, this graph has a postivie association.
GEOMETRY! WILL GIVE BRAINLIEST! Please answer and explain, thank you!
Answer:
40
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the intercepted arc.
So, 80/2 = 40
(2^3//4^2)^5 What is the equivelant expression?
Answer:
A
Step-by-step explanation:
This is the same as ((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2)) which is equal to (2^(3+3+3+3+3)/4^(2+2+2+2+2)), so its (2^15/4^10)
Answer:
You could say 10/15-12/15.
Step-by-step explanation:
50.26 to nearest hundredth
Answer:
it's already in the hundredths place
Step-by-step explanation:
.1 <- tens place
.01<- hundredths place
.001<-thousands place
what is the measure of DC?
A. 39
B. 117
C. 78
D. 24
Select the correct answer.
Which inequality can this number line represent?
PLEASE HELP!!!!
Answer:
A, because x>3 or x<-4
Answer: D is the answer.
-4 < x < 3
Step-by-step explanation:
5x-2>-22 and 6x - 7 < 11
5x > -20 and 6x < 18
x > -4 and x < 3
Rearrange: -4 < x < 3 answer choice D
Find the measure of the missing angle.
Answer: a= ______
(NO FILES) IF YOU ANSWER YOU WILL BE MARKED BRAINLIEST :)
Answer:
a= 32
Step-by-step explanation:
Since "a" is a part of a supplementary angle (An angle that adds up to 180º)
What you would need to do is add 58º and 90º (90º because the right angle = 90)
so 58+90 = 148
Then you would subtract 148 from the total of the angle (Which is 180)
so 180 - 148 = 32, And that shows that a = 32
(P.S. THE BOTS THAT POST THE LINKS TO THE FILES ARE POSTING MALWARE AND VIRUSES, DO NOT DOWNLOAD ANYTHING FROM THEM THEY ARE VIRUSES. IF YOU HAVE DOWNLOADED ANYTHING, GET A RELIABLE ANTIVIRUS SOFTWARE AND SCAN YOUR COMPUTER)
HELP IM BEING TIMEDDD THANK YOU
Answer: A and C!
yw :DD\
help me and ily :))))
Answer:
i = Could be true (C)
ii = False (F)
iii = Definitely true (D)
Hope this helps :-)
4/7=x/12 round to the nearest tenth
Answer:
6.9
Step-by-step explanation:
I will use cross-multiplication for this problem:
[tex]\frac{4}{7} =\frac{x}{12} \\\\7x=48\\\\x=\frac{48}{7} \\\\x=6.857[/tex]
Rounded to tenths:
6.9
find the value of x pls help me
Answer: 46°
Please ignore this, I do not have enough characters to share this answer unless I put a bunch of random stuff.
solve the equation 5= w + 1 1/2
PLS I NEED HELP
a
3
b
3.5
c
4
d
4.5
Solve for w by simplifying both sides of the equation, then isolating the variable.
Exact Form: w = 7 2 w = 7 2
Decimal Form: w = 3.5 w = 3.5
Mixed Number Form: w = 3
final answer: choice Bb. 3.5
Step-by-step explanation:The choices are:
a. 3
b. 3.5
c. 4
d. 4.5
The equation is 5 = w + [tex]1\frac{1}{2}[/tex]
5 - [tex]1\frac{1}{2}[/tex] = [tex]3\frac{1}{2}[/tex]
w = [tex]3\frac{1}{2}[/tex]
[tex]3\frac{1}{2}[/tex] converted into a decimal equals 3.5
So the correct answer is b. 3.5
Hope this helps!-Finny
Monique's swimming pool filter needs repair. She calls two companies for prices. The
Pool Boyz charge $70 for a service call and $40/h for labour. Kemikal Balance charge
$50 for a service call and $45/h for labour.
a) Write a linear equation for each company.
b) Find the solution to this linear system
if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number
Answer:
27/2 is the value of the number.
Let the number be x.
According to the question,
12(x-12)=18
x-12=18/12
x-12=3/2
x=3/2+12
x=3/2+24/2
x=27/2
HOPE IT HELP :)
Answer:
13.5 27/2 13 (1/2) all the same
Step-by-step explanation:
(x-12)x12 = 18
12x-144 = 18
12x = 162
x = 162/12 = 27/2 = 13(1/2) = 13.5
Solve for xx. Leave your answer in simplest radical form.
3
8
x
2
ANSWER ) x = sqrt51
Find the Value of X. Thanks.
Answer:
x = 90
Step-by-step explanation:
This will add up to 360 degrees in total
90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!
Find the measure of angle 1, 3, and 4.
Answer:
1) 60
3) 120
4) 60
Step-by-step explanation:
Angle 1 is supplementary to your known angle. Therefor, Angle 1 is 180 - 120
Angle 3 is supplementary to Angle 1 and equal to 120
Angle 4 is supplementary to Angle 3 and equal to angle 1.
A college entrance exam has a mean of 500. A small liberal arts college has two years of applications, each with 100 prospective students. The college conducts hypothesis tests to determine whether its applicants are significantly better than the general population of applicants. The first year of applicants has a mean of 510, whereas the second year of applicants has a mean of 505. Which sample will produce the largest probability value
Answer:
cjxbdjd xkdnkdkdns xkdnskzkns xkdnd d d d d d d d. d d dd d d d d. d d d d d d d d d d dd. d d
Un zapatero desea empacar en cajas rectangulares los zapatos que producen estima que el volumen de cada par de zapatos es de 600 cm 3. La caja que le ofrecen mide 29cm de largo 16 de ancho le conviene o no comparar ese tipo de caja justificó mi respuesta
Answer:
4/11 since -5/9 between 4/11 is equal to -55/36
step by step explanation:
45 + 66 + 130 = 3747
44 + 43 + 452
3638-5362
233 reply
I don't think this is right ButStep-by-step explanation:
Mark me brainliest and u shall get our answerWhat is the percent of each? Please help!!
Answer:
1 Cards = 36%
2 Cards = 28%
3 Cards = 24%
4 Cards = 12.5%
Step-by-step explanation:
KaVaugn wants to solve the following system using the elimination method:
y = x − 6
y = -4x − 19
What number should the equation y = x − 6 be multiplied by to eliminate x? (4 points)
a
1
b
2
c
4
d
−6
Answer:
d.-6
Step-by-step explanation:
sana makatulong
A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?
Answer:
option 3
Step-by-step explanation:
[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]
GIVING BRAINIEST IF CORRECT!!
Find the area of the shaded region.
Answer:
110 cm²
Step-by-step explanation:
17 · 8
136 cm²
4 · 1.5
6 cm²
5 · 4
20 cm²
20 cm² + 6 cm²
26 cm²
136 cm² - 26 cm²
110 cm²
Does anyone know how to find the volume of a cylinder?
Answer:
V=πr2h
you could've searched this up but i hope this helps anyway
Our club has 10 members, and we need to appoint a president, a vice president, and a secretary. How many ways can we do this if: Each member can hold at most one office. Members can hole any number of offices
Answer: 720
Step-by-step explanation:
Given
A club has 10 members and needs one president, a vice president, and a secretary
There are 10 positions for president i.e. 10 ways to select a member for it
Similarly, there 9 persons left to choose a position for vice president
likewise 8 persons for secretary
Total no of ways to do it are
[tex]\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}[/tex]