You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
Ernesto measured the height of a door frame as 6.35 feet, but the actual height was 6.5 feet. What is the percentage of error in Ernesto's measurement? (5 points)
a
2.31%
b
1.98%
c
2.36%
d
2.02%
Answer:
A or B
Step-by-step explanation:
sry if im wrong-happy new year!
I am just confused on how to do this question. A 37-inch TV is 37-inches diagonally across the screen. Which of these dimensions best describes a 37-inch TV? A. 15 x 34 B. 16.5 x 32 C. 17 x 28 D. 17 x 32
Given that,
A TV is 27 inch diagonally across the screen.
To find,
The dimensions that best describes a 37 inch TV.
Solution,
Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,
[tex]c=\sqrt{a^2+b^2}[/tex]
If dimensions are 15 x 34,
[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]
If dimensions are 16.5 x 32,
[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]
If dimensions are 17 x 28,
[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]
If dimensions are 17 x 32,
[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]
It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).
Quick!! pls help lol!!
Answer:
I think 53
Step-by-step explanation:
If the biggest line is 100 the do 100-47=53
Sorry if I’m wrong
y is inversely proportional to the square of x.
A table of values for x and y is shown.
Х| 1 2 3 4
Y| 4 1 4/9 1/4
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]
[tex]b) \: x = \frac{2}{5} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350. Use this information to complete the statements. Over the first 3 years, the value of the account increased at ___ over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $___ annually.
Answer:
Given:
Principal= $5,000
After 3 years, Amount= $7,100
After 8 years, Amount= $10,350
Step-by-step explanation:
Interest after 3 years= $7,100- $5,000
=$2,100
Interest in last 5 years= $10,350- $7,100
=$ 3,250
Difference between first 3 years and last 5 years= $3,250- $2,100
=$1,150
Amount= Principal*[tex](1+r/100)^{t}[/tex]
10,350=5000[tex](1+r/100)^{8}[/tex]
[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]
2.07=[tex](1+r/100)^{8}[/tex]
[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]
1.095-1=[tex]\frac{r}{100}[/tex]
0.095*100=r
r=9.5%
Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]
=$475
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
Ruffles Boutique brought a leather jacket from a wholesale distributor for $140. The story markup on this item is 220%. What is the selling price for the jacket?
Sell price = purchase price x Mark up
Sell price = 140 x 220%
Sell price = 140 x 2.2 = 308
Sell price = $308
What is a correct name for the angle shown?
Answer:
SRT
Step-by-step explanation:
Answer:
obtuse angle
Step-by-step explanation:
a L is a right angle, a right angle is 90 degrees. if the angle is more then 90 degrees and looks like its being stretched it is obtuse. and if it is smaller then 90% and looks like it is being squashed it an acute angle.
Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?
Answer:
15 centimeters
Step-by-step explanation:
Ratio of Mr. Thompson rectangle = length : width
= 5 : 2
Audrey plans to draw a rectangle with a width of 6 centimeters.
Ratio of Audrey rectangle = length : width
= x centimeters : 6 centimeters
Equate the two ratios to find the value of x
5 : 2 = x : 6
Cross product
5 * 6 = 2 * x
30 = 2x
Divide both sides by 2
x = 30 / 2
= 15
x = 15 centimeters
Audrey's rectangle should have a length of 15 centimeters
Answer:
15
Step-by-step explanation:
Find the value of each variable
Answer:
x = 17[tex]\sqrt{3}[/tex]
y = 17
Step-by-step explanation:
You would need to use the following trigonometric functions cosine and sin. Sin is used for the y-variable to get the answer and cosine is used for the x-variable to get the answer. For this case, you would need to do 34 sin 30 for y and 34 cos 30 for x. You should get 17 for y and 17 root 3 for x when you put it in the calculator.
The value of each variable are,
x = 17√3
y = 17
We have to give that,
A triangle is shown in the image.
Now, from the triangle we get;
cos 30° = x/34
Solve for x,
√3/2 = x/34
Cross multiply,
34√3 = 2 × x
2x = 34√3
x = 17√3
And, We get;
⇒ sin 30° = y/34
⇒ 1/2 = y/34
Cross multiply,
⇒ 34 = 2y
⇒ y = 17
Hence, the value of each variable is,
x = 17√3
y = 17
To learn more about the triangle visit;
brainly.com/question/1058720
#SPJ6
help me find the answer lol
Answer:
First/Top graph.
Step-by-step explanation:
First, we need to solve the inequality for n:
-6n + 5 < 11 (Given)
-6n < 6 (Subtracted 5 on both sides)
n > -1 (Divided -6 on both sides)
NOTE: Whenever you multiply or divide by a negative number when dealing with inequalities, the sign switches.
Now that we know that n > -1, we need to look for a graph that has an open circle on the point -1 and goes in the right direction.
Therefore, the first graph is the correct answer.
John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
last year.
Answer:
80%
Step-by-step explanation:
Let's call the past exam mark m,
m*105%=84
m*105/100=84
m=84/(105/100)
m=80
Hope this helps!
Answer:
80
Step-by-step explanation:
new value = 84
old value = n
can use percent change formula: (new value - old value) / old value = 5/100
[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]
cross-multiply (you can simplify 5/100 to be 1/20 first): 20(84 - n) = n
1680 - 20n = n
1680 = 21n
n = 80
I dont know why it says im in high school im in middle school. But anyways can someone please explain how to get percentage.
Answer:
Step-by-step explanation:
To change a decimal into a percent you multiply by 100.
If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5
Answer:
how to get a percentage from a decimal is when you take the decimal point and move it twice to the left
Step-by-step explanation:
for example
.07 = 7%
does that make sense?
Help... with number 15 plz
Answer:
P
Step-by-step explanation:
p is the ans
PLEASEEEE please please help me with thissss ill luv u forever!!
Answer:
Hello,I don't think anyone can help you as your question is not there only the subquestions are. Kindly post the main question for assistance.
Regards
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive?
If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
3b = 27
Step-by-step explanation:
They will each receive 9 books
dhsshdhjdjdjdjdndjcixhxbxnxxxi
Answer:
(3x + 4)²Step-by-step explanation:
1) Your number = x
2) Multiply it by 3 = 3x
3) Add 4 = 3x + 4
4) Square the result (quantity square) = (3x + 4)²
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
How are the areas of triangles and parallelograms in the coordinate
plane calculated?
Answer:
___________________________________________________________
By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.
___________________________________________________________
Please help I’m in finals and I have to complete all my missing assignments
Answer:
Between 3 and 3.5
Step-by-step explanation:
more than 9 and less than 16. 9 is closer to 10 making it c.
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
Translate the sentence into an equation.
Eight more than the quotient of a number and 3 is 5.
This would help a lot
What value of x makes the equation true?
-7x-5=-10x-26
Please show work
Answer:
-7
Step-by-step explanation:
-7x-5= -10x-26
-7x= -10x-21
3x= -21
x=-7
The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t represents the years from now. What is the approximate population change that occurs between 2 years from now and 10 years from now.
Answer:
5358
Step-by-step explanation:
The equation modeling the population growth of a small town is given as:
P(t)=30000(1.02)^t
When t = 2
P(2) = 30000(1.02)^2
P(2) = 31212
When t = 10
P(10) = 30000(1.02)^10
P(10) = 36569.8326
The approximate population change that occurs between 2 years from now and 10 years from now is calculated as:
= P(10) - P(2)
= 36569.83259984272 − 31212
= 5357.8325998
Approximately ≈ 5358
A piano teacher gives lessons that are each Three-fourths hour long. How many piano lessons can the teacher fit into a 12-hour work day? Assume no breaks are taken in the 12 hour period.
Answer:
16 lessons
Step-by-step explanation:
12 divided by .75 = 16
Answer:
16
Step-by-step explanation:
rewrite 16r^2 8^2 as a power of a product
Answer:
(32r)²Step-by-step explanation:
Use of the formula aⁿbⁿ= (ab)ⁿ
16r²×8² = 4²r²×8² =(4r×8)² =(32r)²What is x if: x ÷ 0.6 = 1 2/3
Answer:
x = 1
Step-by-step explanation:
Rewrite the equation to get x/0.6 = 5/3, since the division sign is the same thing as a slash sign and that 1 2/3 is equivalent to 5/3. Multiply 0.6 on both sides to get 1 as your final answer.
Answer:
1
Step-by-step explanation:
0.6 times 1 2/3 is 1. in that case, 1 divided by 0.6 is 1.66666666667, also known as 1 2/3 making x = 1
Which equations represent functions?
2x + 3y = 10
4x = 16
2x − 3 = 14
3y = 18
14.6 = 2x
Answer:
e represent a fraction happy to help
Tom paid $2.50 for two pounds of boiled peanuts. Rose paid $9.50 for 8 pounds of boiled peanuts. Is the relationship between these two purchases proportional?
Write the equation of the line through the points (1, 3), (3, 3)
Answer:
y = 3
Step-by-step explanation:
P ( 1 , 3) and Q ( 3 , 3 )
The straight line is parallel to the x-axis since the two points have the same y.
The intercept with the y-axis is 3.
The slope-point equation for a line is:
y = m*x + b (1)
m is the slope and b is the intercept with the y-axis
To calculate the slope
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = 3 - 3 / 3 - 1 m = 0 / 2 m = 0
therefore, equatio (1) becomes
y = 0*x + 3
y = 3
The product of a negative number and zero is?
Answer:
0
Step-by-step explanation:
Eg:
-5*0=0
-1*0=0
Which expression is equivalent-3(6x+7)+4(7x+2)
Answer: are there choices?
Step-by-step explanation: