What is the radius of a hemisphere with a volume of 45729 in, to the nearest tenth
of an inch?
Answers
Answer:
Step-by-step explanation:
Use the volume of a sphere formula and then multiply it by .5 to get half of it, since a hemisphere is half of a sphere. Doing that gives us the formula:
[tex]V=\frac{4}{3}\pi r^3\frac{1}{2}[/tex] which simplifies to
[tex]V=\frac{2}{3}\pi r^3[/tex] . Now, filling in what we were given:
[tex]45729=\frac{2}{3}\pi r^3[/tex] which simplifies a bit to
[tex]137187=2\pi r^3[/tex]. We divide by 2π to get
[tex]2183.98918=r^3[/tex] and take the cubed root on your calculator to get that
r = 27.9"
[tex]Volume= 45729in^3\\\\[/tex]
[tex]Radius=r[/tex]
[tex]2/3\pi r^3=45729[/tex]
[tex]r^3=3*45729\\~~~~------\\~~~~~~2*3.14[/tex]
[tex]r^3=21845.06[/tex]
[tex]r=27.95~in[/tex]
✂-------------hope it helps...
have a great day!!
Related Questions
Please help me!! How do I do this?
Answers
Answer: 36
If I got it wrong than I am so sorry.
Tell me step by step how to change a mixed fraction to an improper fraction using an example.PLS HELP I NEED it I give you 15 points
Answers
Step-by-step explanation:
say you have 1 1/4 what you would do is you would multiply 4*1 which is 4+ the top number of the fraction which is 4+1= 5 so now your fraction in is 5/4 .
i have 3 time as much money as does my brother. your total is 42$. how much do we have
Answers
Answer:
56
Step-by-step explanation:
42 / 3 = brother's amount = 14
14 + 42 = 56
Answer:
Step-by-step explanation:
money of brother=x(say)
money i have=3x
x+3x=42
4x=42
x=42/4=21/2=10.50
money of brother=$ 10.50
money i have= 3 *10.50=31.50 $
im in need help do this question
Answers
Answer:
answer: 161
Hope this helps!
Find the following arc measure
Answers
Answer:
which arc C what like i cant see the other letter
Step-by-step explanation:
After allowing 20% discount and then levying 13% Value
Added Tax (VAT), the value of the watch will be Rs. 904.
Find the marked price of the watch.
Answers
Take x as the marked original price
x * (1-20/100) = 0.8x this is price after discount
0.8x * (1+13/100) = 0.904x this is the price after discount and Vat
0.904x=904 Rs
x = 904/0.904
x = Rs. 1000
MARKED ORIGINAL PRICE
= Rs. 1000
Suppose that 20% of all students in a school make the Honor Roll. Which simulation best models a way to show how
students can be randomly selected and identified as being on the Honor Roll? WHY is that the best simulation?
A) Put 10 marbles in a bag, 8 red and 2 yellow. Draw out a marble at random 100 times, replacing the marble each
time.
B) Divide a spinner into 4 equal parts, labeled 1-4. Spin it 100 times. Let an even number represent Honor Roll and
an odd number represent not on the Honor Roll.
PLEASE REMEMBER TO STATE WHY
Answers
Answer:
A)
Step-by-step explanation:
The problem stated that 20 percent got in honor roll.
The key word in the problem is randomly selected.
Out of a and b, it's simply crossing out one of them.
B doesn't make sense, since if you spun a spinner 100 times, each side would have a probability of 25 percent. And that's if you only used one of the parts as an odd number.
Another way to think of it is that there are 2/10 yellow marbles, and 8/10 red.
2/10=20 percent.
8/10=80
2x+22 =4(x+30 i need it asap
Answers
Answer: 55
Step-by-step explanation:
Answer: x= -71
Step-by-step explanation:
Jordon missed 49 on his multiple choice math final and earned a grade of 65%. How many total questions were on the final exam?
Answers
Answer:
The exam was out of 75.
Step-by-step explanation:
You know that he earned 65% so more than half his answers were correct.
Then, you would guess and check try 49/60, 49/70, and go up by 10s or 5s. You will then realize that 49÷75 equals 65.333. This rounds up to 65.
last month I joined an online strategy game. when I joined there were 20 members, since then the number of members has decreased by 80% how many members are there now
Answers
Answer:
4
Step-by-step explanation:
80% of 20 is 16. 20-16=4
need help plz
Hope everyone is well
Answers
(4 3/8), (6 2/9), (3/10), (5 1/15), (3 5/12), (1 7/16), (5 9/40), (2 7/22), (3/16), (3 1/9), (2 9/28), (5 1/8), (7 3/16), (5 3/20), (3 11/40), (3 3/14)
Would somebody be able to help me with this?
Answers
Answer: y=mx+b...... y= 2x+1
The manager of the shelter wants the kittens distributed equally among the crates. How might that be done? How many kittens will end up in each crate? Need help fast!!!
Answers
Answer:
2 kittens per crate
Step-by-step explanation:
The kittens in a room at an animal shelter are arranged in five crates, as shown.
The manager of the shelter wants the kittens distributed equally among the crates. How might that be done? How many kittens will end up in each crate?
Crate 1 = 2 kittens
Crate 2 = 1 kitten
Crate 3 = 4 kittens
Crate 4 = 3 kittens
Crate 5 = 0 kitten
Total kittens = 2 + 1 + 4 + 3 + 0
= 10 kittens
To distribute them equally among the crates, divide the number of kittens by the number of crates
Kitten per crate = number of kittens / number of crates
= 10 kittens / 5 crates
= 2 kittens per crate
Kitten per crate = 2 kittens per crate
can someone answer both questions for me.
Answers
Answer:
For the First
a. True
b. false
c. True
d.false
Second
a. d and h or a and e
b. d and g or c and e
c.d and f or c and h
d. a anf d or g and f
Maria is making a fruit punch. There are 15.75 ounces of orange juice in a container. Maria pours 2.25 ounces of cranberry juice into the container each second. How many ounces of fruit punch are in the container after 9 seconds?
Answers
Answer:
20.25 ounces
Step-by-step explanation:
We are given 2.25 ounces of cranberry poured into the container per second. We need to find is how much that is after 9 seconds. (Note: This is different from the 15.75 ounces of orange.) There are many ways to solve this question (e.g If 2.25 is 1, then multiply 2.25 and 9 = 20.25) Now to solve this let's set up fractions; let "x" be the variable;
[tex]\frac{1}{2.25}=\frac{9}{x}[/tex]
Apply fraction: if [tex]\frac{a}{b}=\frac{c}{d}\mathrm[/tex] then [tex]a\cdot \:d=b\cdot \:c[/tex] (meaning cross multiply)
[tex]1\cdot \:x=2.25\cdot \:9[/tex]
Simplify
Multiply by 1[tex]1 x = 2 . 2 5 \cdot 9 \\\\ x = 2 . 2 5 \cdot 9[/tex]
Multiply the numbers[tex]x = 2 . 2 5 \cdot 9\\\\x=20.25[/tex]
Therefore, there are 20.25 ounces of fruit pouch in the container after 9 seconds.
Answer:
36 oz
i dont know how to explain i just know
Plot two points that are 888 units from Point \blueD{B}Bstart color #11accd, B, end color #11accd and also share the same xxx-coordinate as Point \blueD{B}B
Answers
Question:
Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B
See attachment for grid
Answer:
See attachment for plot
Step-by-step explanation:
See comment for complete question
From the attached image, we have:
[tex]B = (-6,0)[/tex]
Required
2 points that are 8 units away and on the same x coordinate
Let the two points be [tex]C\ and\ D[/tex]
The first condition is that; C and D must be on the same x coordinate as B.
So, we have:
C = (-6,_)
D = (-6,_)
8 units from B implies that we add or subtract 8 from the y coordinate of B.
So, we have:
[tex]C = (-6,0+8)[/tex]
[tex]D = (-6,0-8)[/tex]
[tex]C= (-6,8)[/tex]
[tex]D= (-6,-8)[/tex]
In circle D, angle ADC measures (7x + 2)°. Arc AC
measures (8x - 8)º.
What is the measure of angel ABC
Answers
Answer:
The measure of angle ABC is 36° ⇒ 1st answer
Step-by-step explanation:
Let us revise some important facts in the circle
The measure of the center angle is equal to the measure of its subtended arc
The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc
The vertex of a central angle is the center of the circle and its sides are radii in the circle
The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle
In circle D
∵ D is the center of the circle
∵ A and C lie on the circle
- DA and DC are radii
∴ ∠ADC is a central angle subtended by arc AC
∴ m∠ADC = m of arc AC
∵ m∠ADC = (7x + 2)°
∵ m of arc AC = (8x - 8)°
- Equate them to find x
∴ 8x - 8 = 7x + 2
- subtract 7x from both sides
∴ x - 8 = 2
- Add 8 to both sides
∴ x = 10
Substitute the value of x in the measure of ∠ADC
∵ m∠ADC = 7(10) + 2 = 70 + 2
∴ m∠ADC = 72°
∵ AB and BC are two chords in circle D
∴ ∠ABC is an inscribed angle subtended by arc AC
∵ ∠ADC is a central angle subtended by arc AC
- By using the 2nd fact above
∴ m∠ABC = m∠ADC
∴ m∠ABC = × 72
∴ m∠ABC = 36°
The measure of angle ABC is 36 degrees
Circle geometry
To get the required measure of m<ABC, we will use the theorem that states that the measure of the central angle is equal to the measure of its subtended arc and;
The vertex of a central angle is the center of the circle and its sides are radii in the circle
According to the given circle D
∠ADC is a central angle subtended by arc AC
m∠ADC = m of arc AC
m∠ADC = (7x + 2)°
m of arc AC = (8x - 8)°
Equate to find the value of x
8x - 8 = 7x + 2
x - 8 = 2
x = 10
Substitute the value of x in the measure of ∠ADC
m∠ADC = 7(10) + 2 = 70 + 2
m∠ADC = 72°
∠ADC is a central angle subtended by arc AC
m∠ABC = 0.5 × 72
m∠ABC = 36°
Hence the measure of angle ABC is 36 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
Find the surface area of a cone with a radius of 7 cm and a height of 27 cm
Answers
Answer: 767.33cm²
Step-by-step explanation:
A=πr(r+h2+r2)=π·7·(7+272+72)≈767.32948cm²
The question in the image
Please help me
Answers
Step-by-step explanation:
10+X = 5+14
So,
10+X=19
X=19-10
X= 9
A marine biologist dove 40ft below sea level to study the
coral and her drone is flying 20ft above sea level. What is
the distance between the marine biologist and the drone?
Answers
Answer:
60 feet
Step-by-step explanation:
3. Number of cars sold per month:
19, 5, 9, 12, 10, 5
mean =
median =
mode(s) =
range =
Answers
median: 9.5
mode: 5
range: 14
hope this helps and hope this is right:)
Place Temperature (° Fahrenheit) Death Valley, CA 134 Barrow, AK negative 53 Question What is the difference of the temperatures in the table? Answer options with 4 options A. 71 ° Fahrenheit B. 81 ° Fahrenheit C. 87 ° Fahrenheit D. 187 ° Fahrenheit
Answers
Answer:
D: 187 °F
Step-by-step explanation:
You need to subtract -53 from 134. But since that 53 degrees is negative and you are subtracting it, you change the negative sign to a positive sign and add positive 53 to positive 134 to get 187.
All freshmen, sophomores, juniors, and seniors attended a high school assembly. The total student attendance is shown in the table.
A 2-column table has 4 rows. The first column is labeled Class with entries freshmen, sophomores, juniors, seniors. The second column is labeled Number of people with entries 31, 10, 17, 22.
Twice during the assembly, a student is chosen at random to assist with the presentation. After the first student has finished assisting, the student returns to the group and can be chosen a second time. What is the probability that the first student chosen is a senior and the second student chosen is a sophomore?
StartFraction 11 Over 320 EndFraction
StartFraction 3 Over 80 EndFraction
StartFraction 11 Over 40 EndFraction
Two-fifths
Answers
Answer:
11/320
Step-by-step explanation:
edge
The probability that the first student chosen is a senior and the second student chosen is a sophomore is equal to 11/320.
What is probability?Probability is the likeliness of happening an event among all the events that are possible. It lies between 0and 1 and cannot be negative.
How to calculate probability?We have been given that the number of freshmen is 31, number of sophomores is 10, juniors is 17 and seniors be 22. Total number of persons be 31+10+17+22=80
let X denote person.
Probability that the first student is senior and second one is a sophomore=P(X=Senior)*P(X=Sophomore)
=22/80*10/80
=220/6400
=11/320
Hence the probability that the first student is senior and second one is a sophomore is 11/320.
Learn more about probability at https://brainly.com/question/24756209
#SPJ2
Which graph represents the function h(x) = |x| + 0.5?
Answers
Answer:
on a coordinate plane an absolute value graph has a vertex at (negative 0,0.5).
hope it helps
please mark Brainliest
What is the degree of x6 + 4x - 3? O A. 3 O B. 7 O C. 6 O D. 5
Answers
Answer:
That would be a sixth degree equation aka C. is your answer
Step-by-step explanation:
Answer:
c.6
trust me i just did it
Step-by-step explanation:
PLZZZ HELP ILL GIVE BRAINLIEST
Answers
50% of the students work on homework for 20 minutes or less per night.
The answer is 6 just did it
Answers
Answer:
6
Step-by-step explanation:
Answer: Ok
Step-by-step explanation:
Express the lcm of 50,18 and 32 in prime factors
Answers
Answer:
The least common multiple of 50, 18 and 32 is 7200.
Step-by-step explanation:
mark brainleist plz
Answer:
LCM = 7200
Step-by-step explanation:
LCM(18, 32, 50) =
LCM(LCM(18, 32), 50)
Working from the innermost parentheses outward:
LCM(18,32) = (18 × 32) / GCF(18,32)
= (18 × 32) / 2
= 576 / 2
= 288
LCM(288,50) = (288 × 50) / GCF(288,50)
= (288 × 50) / 2
= 14400 / 2
= 7200
Therefore,
LCM(18, 32, 50) = 7200
which values are in the solution set of the inequality 32 x +13 > -12
Select all that apply.
A.19
B.20
C.21
D.22
E.23
Answers
Answer:
B, D, E
Step-by-step explanation:
404 is the answer to the question 32 x +13 > -12. Meaning B, D, and E are the inequalities of 32 x +13 > -12
Cody and Brad bought pizza for the class party. Cody bought 12 pizzas for $15 each.
Brad bought 8 pizzas for $12 each. Who spent more money on pizza?
Type your answer
Answers
Answer:
brad paid more
Step-by-step explanation:
15/12=1.25
and 12/8=1.50
so brad paid more on pizza