Answer:
A. Cylinder + cone
Volume is the sum of volumes:
V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³Surface area of cone:
A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²Surface area of cylinder minus bases:
A = 2πrh₂ = 2π*9*120 = 6785.8 cm²Total surface area:
678.6 + 6785.8 = 7464.4 cm²-------------------------------------------------
B. Cube+ pyramid
Volume:
V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³Surface area of pyramid:
A = a² + 2al = 8² + 2*8*10 = 224 cm²Surface area of cube minus bases:
A = 4a² = 4(8²) = 256 cm²Total surface area:
A = 224 + 256 = 480 cm²Graph the integer 0 to its opposite on the number line
Answer:
It would be graphed at 0.
Step-by-step explanation: The answer would be graphed at 0 on a number line because 0 is its opposite.
Hope this helps!
2. Ronu's present age is "x “years and her sister Shaani's present age is twice
of Ronu's age. Write following as algebraic expression
a) Ronu's present age
b) Ronu's age after 2 years
c) Shaani's present age
d) Shaani's age after 2 years
What hould be added to 100 to get - 132
Answer:
x = -232
Step-by-step explanation:
Ronu's present age is "x “years and her sister Shaani's present age is twice of Ronu's age.
(a) Ronu's present age = x years
(b) Ronu's age after 2 years = (x+2) years
(c) Shaani's present age = 2x years
(d) Shaani's age after 2 years = (2x+2) years
Let x should be added to 100 to get -132.
x+100 = -132
x = -100-132
x = -232
Hence, -232 must be added to 100 to get -132.
What is the result when 3x+25 is subtracted from 35x-410
Answer:
32x-435
Step-by-step explanation:
(35x-410) - (3x+25)
35x-3x=32x
-410-25=-435
the table shows a linear relationship between x and y. drag and drop the options provided into the correct boxes to complete the equation
Can someone please help me? Thank you
Answer:
A=1/2PA
Step-by-step explanation:
DO THE FORMULA
Tell weather the angles are complementary or supplementary. The. Find the value of x. WITH EXPLANATION
Find the radius of a circle with a circumference of 23.55 feet. Use 3.14 for
Answer:
3.75
Step-by-step explanation:
The radius of the circle will be (11.775/π).
What is the area of a circle? What is an exponential function? Differentiate between equation and expression? area of circle : The area of a circle is equivalent to -[A] = πr² = πd²/4
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the circumferance of the circle is 23.55 feet.
We can write -
2πr = 23.55
r = (23.55/2π)
So, the area of the circle will be -
{A} = πr²
{A} = π x (23.55 x 23.55)/4π²
{A} = (555/4π)
{A} = 138.75/π
r = (23.55/2π)
r = (11.775/π)
Therefore, the radius of the circle will be (11.775/π).
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Please help ASAP please and thank you have a great and blessed day!
Answer:
1) less than
2) greater than
3) equal to
4) greater than
A is true
Step-by-step explanation:
The alligator eats the bigger number
Adding a zero to the end of a number behind the decimal point makes no difference
Both numbers rounded are 42.8
have a blessed day as well :)
Does this graph represent a function?
What is the measure of the angle of the hands on a clock if it is 3:24?
Answer:
from 3 o’clock until 3:20, the minute hand will move 1/3 of the way around the circle or 120 degrees. But the hour hand has also moved 1/3 of the way to the next number, or 10 degrees.
Answer:
42deg
Step-by-step explanation:
Let's see.
We'll consider 12:00 the "starting position"
The minute hand moves with the speed of 360deg in an hour, so 6deg per minute.
The hour hand moves with the speed of 360deg in 12hours, so 30deg per hour, so 0.5deg per minute.
at 3:24, the minute hand has moved 24*6deg=144deg from the starting position, while the hour hand has moved by 3*30deg + 24*0.5deg = 102deg
The absolute difference of the angles is 144deg-102deg = 42deg and it's the angle between the hands.
how to calculate area of trapezium
Answer:
A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: ... Area=21×Sum of parallel sides×Distance between them.
Answer:
A=a+b/2h
a=base
b=base
h=height
I hope it's helpful!
Page 1
1. Find the common denominator for the
pairs of fractions given.
3/5 and 2/15
Answer: The common denominator is 15
answer only if you know it ty.
Answer:
[tex]\Huge\boxed{x<3}[/tex]
Step-by-step explanation:
-9.5x-1.5>-30
Hello There!
So once again we want to isolate the variable using inverse operations
To get rid of the 1.5 we add 1.5 to each side
-1.5+1.5 cancels out
-30+1.5=-28.5
now we have
-9.5x>-28.5
to get rid of the -9.5 we divide each side by -9.5
-9.5x/-9.5=x
-28.5/-9.5=3
Remember we are dividing by a negative number so we have to flip the inequality sign
We're left with
x<3
Answer:
Solution bayan imnot aure
Find the probability of drawing a
non-face card or a black card
Answer:
50% black card ( or 26)
76% no face ( or 40)
please help me!! thank youu!!!
Answer:
24
Step-by-step explanation:
Area of a triangle
A = 1/2 bh
b=12
h=4
A= 1/2 * 12 * 4
A = 24
Michelle has four credit cards with the balances and interest rates listed below. She would like to consolidate all of her credit cards masingle credit card with an interest rate of 16% and pay off the balance in 36 months. If she did so, what would Michelle's monthly credit card payment be? Credit Card APR $4380 $1,385 a. $36735 b $464.95 $685.23
Answer:
$194.0008
Step-by-step explanation:
I'm not sure if this is correct but I hope it helps
16% of 4380
0,16×4380
=$700.8
16% of 1385
0,16×221.6
=221.6
16% of 36735
0,16×36735
=$5877.6
16% of 464.95
0,16×464.95
=$74.392
16% of 685.23
0,16×685.23
=$109. 6368
700.8+221.6+3877.6+5877.6+74.392+109.6368=$6984.0288
6984.0288÷36=$194.0008
the monthly payment for Michelle's consolidated credit card balance would be approximately $201.59.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, the total balance of all four credit cards:
Total balance = $4380 + $1385
Total balance = $5765
Hence, Determine the interest rate for the consolidated credit card: Interest rate = 16%
And, the term of the loan:
Term = 36 months
Hence, Use a loan calculator to calculate the monthly payment, using the total balance, interest rate, and term:
Monthly payment = $201.59
So, the monthly payment for Michelle's consolidated credit card balance would be approximately $201.59.
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HELPPP!! Find the missing angles in the following RHOMBUS. *
please enter: 1: _____, 3: _____, 4: ________
Answer:
3= 32 4=90 1=58
Step-by-step explanation:
Answer:
<1=58°
<3=32°
<4=90°
Step-by-step explanation:
<1=58° (180-90-32)
<3=32° (Same a the angle across from it because it’s an isosceles triangle)
<4=90°
This Rhomus is definitely not drawn correctly, so the image is deceptive. For example, two 32° angles would not make an obtuse angle. You just have to ignore the picture and do the Math.
A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the past 30 days, with a tolerable sampling error (E) of 0.03 and a confidence level of 95%. If prior secondary data indicated that 25% of all adults had used the Internet for such a purpose, what is the required sample size for the new study
Answer:
The required sample size for the new study is 801.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
25% of all adults had used the Internet for such a purpose
This means that [tex]\pi = 0.25[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the required sample size for the new study?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2[/tex]
[tex]n = 800.3[/tex]
Rounding up:
The required sample size for the new study is 801.
help plase im sorry please
Answer:
f(x) = 417(3.15) x the second option which is the only one with correct units from the question
Answer:
second one
Step-by-step explanation:
Write the ratio as a fraction in simplest form
24 players on 3 teams
Answer:
3/24 and it's so easy
24:3 becomes 24/3, then that is simplified into 8/1. This means that there are 8 players on one team.
i cannot figure this problem out
Answer:
31 customers
Step-by-step explanation:
First, find the percentage of customers who wore a large. This is 26/(26 + 52), or 1/3 of the customers. Take 1/3 of the new customers, and 1/3 of 93 is 31. 31 customers will wear a size large.
Hopefully this helps! Let me know if you have any questions
The width of a rectangular table is 2.3 feet less than its length. If the area of the table is 9.5 square feet, find its dimensions.
Answer: Width = 12 feet
length = 9 feet
The dimensions of the rectangular table are approximately 5.77 feet by 3.47 feet.
Let's denote the length of the rectangular table as L.
According to the given information, the width is 2.3 feet less than the length. Therefore, the width can be expressed as L - 2.3.
The area of a rectangle is calculated by multiplying its length by its width. In this case, the area is given as 9.5 square feet.
So, we have the equation:
Length * Width = Area
L * (L - 2.3) = 9.5
Expanding the equation:
L² - 2.3L = 9.5
Rearranging the equation:
L² - 2.3L - 9.5 = 0
To solve this quadratic equation, we can use the quadratic formula:
L = (-b ± √(b² - 4ac)) / (2a)
For this equation, a = 1, b = -2.3, and c = -9.5.
Substituting the values into the quadratic formula, we get:
L = (-(-2.3) ± √((-2.3)² - 4 * 1 * (-9.5))) / (2 * 1)
L = (2.3 ± √(5.29 + 38)) / 2
L = (2.3 ± √43.29) / 2
Calculating the square root and simplifying further, we find two possible values for L:
L ≈ 5.77 or L ≈ -3.07
Since length cannot be negative, we discard the negative solution.
Therefore, the length of the rectangular table is approximately 5.77 feet.
To find the width, we substitute this value back into the equation for the width:
Width = Length - 2.3
Width ≈ 5.77 - 2.3
Width ≈ 3.47 feet
So, the dimensions of the rectangular table are approximately 5.77 feet by 3.47 feet.
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Which is not a true statement about the transformation shown below?
Answer: C: The orientation of the figure stayed the same
Step-by-step explanation:
Everything else is true
A. The figures do not change in dilation so they are still congruent
B. The pre-image does start in the top left which is quadrant 1
C. The orientation changes because the picture is reflected instead of translated so points D and E are in different respective locations
D. The image is a reflection. You can tell because both points D and E reflect across the Y-axis
Write the word sentence as an inequality.
A number j minus 14 is less than — 21. DID I GET THIS RIGHT??
I need help on this one it is confusing. I tried to figure it out plz help!!!!!!
Answer:
answe is 5x + 6y + 1
Step-by-step explanation:
Step-by-step explanation:
5x+ 6y+1
..............
What 6 x 9 x 11 x 66 x 100 =?
Answer:
3920400
Step-by-step explanation:
Find a fraction that is equivalent to, but different from 7/13
Answer:
14/26
Step-by-step explanation:
the fraction is equivalent to 7/13 as 7/13 is the simplified fraction
HURRY PLEASE I WILL GIVE BRAINLIEST
Answer:
2nd option
Step-by-step explanation:
Answer: I am pretty sure that it is the first answer, “the percent of families with no children who do not have a museum membership.
Can someone just tell me if my estimate is A: High / B: low / or C : difficult to tell on all please !
1. high
2. high
3.diff
4.low.
5.high
The length of a rectangle is 22 centimeters and the width is
4 centimeters. A similar rectangle has a width of 6 centimeters. Write and solve a proportion to
find the perimeter of the second rectangle?
(10 Points)
Answer:
78cm
Step-by-step explanation:
L₁/W₁ = L₂/W₂
22/4 = L₂/6
5.5*6=L₂
L₂=33cm
Perimeter of rectangle = 2L+2W
=2(33)+2(6)
=66+12
=78cm