Answer:
height of the cone = 8 ft
Step-by-step explanation:
A cone has a volume of 96π ft³. The radius of the cone is 6 ft. The height of the cone can be computed below .
The volume of a cone can be represented as follows
volume of a cone = 1/3πr²h
where
r = radius
h = height
volume of a cone = 1/3πr²h
volume = 96π ft³
r = 6 ft
h = ?
96π = 1/3 × π × 6² × h
96π = 1/3 × π × 36 × h
96π = 12πh
divide both sides by 12π
h = 96π/12π
h = 8 ft
height of the cone = 8 ft
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
We divided the figure in picture into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = area of triangle + area of 2 rectangles
= base x height/2 + length1 x width1 + length2 x width2
= 13 x (4 + 13 + 8 - 12)/2 + 11 x 8 + 3 x 13
= 211.5
Hope this helps!
:)
In Mr. Johnson’s classes, 30% of the students scored a 95 on a quiz. Let be the total number of students in Mr. Johnson’s classes. If 15 students scored a 95, write an equation involving that relates the number of students who scored a 95 to the total number of students in Mr. Johnson’s classes. i need to know this quick!! like by tomorow
Answer:
15 students (30% of the students in class) scores a 95 on a quiz.
Therefore the total number of students (100% of the students) in class is:
N = 15 x 100/30 = 50 (students)
(This calculation is inferred from a ratio that 15/N = 30/100).
Denote the number of students who scored a 95 on a quiz is a, the total number of students in class is b.
Then the equation that related a and b is:
b = (100/30) x a
Hope this helps!
:)
I will give brainlest, please help me!
Answer:
Number of people: 5
Number of handshakes: 10
Number of people: 6
Number of handshakes: 15
Number of people: 7
Number of handshakes: 21
Number of people: n
Number of handshakes: (n * (n-1))/2
Step-by-step explanation:
(n * (n-1))/2
Use the equation above to solve for # of handshakes
The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
plz help
Answer:
14 and 17
Step-by-step explanation:
x+y=41
y=2x-1
x+(2x-1)=41
3x-1=41
3x=42
x=14
y=2(14)-1=27
Step-by-step explanation:
Step 1: Make a system of equation
The sum of two numbers is 41
x + y = 41
The larger number is one less than twice the smaller number.
x = 2y - 1
Step 2: Substitute x from the second equation into the first
[tex]x + y = 41[/tex]
[tex](2y - 1) + y = 41[/tex]
[tex]3y - 1+ 1 = 41 + 1[/tex]
[tex]3y/3 = 42 / 3[/tex]
[tex]y = 14[/tex]
Step 3: Substitute y into the second equation
[tex]x = 2y - 1[/tex]
[tex]x = 2(14) - 1[/tex]
[tex]x = 28 - 1[/tex]
[tex]x = 27[/tex]
Answer: [tex]x = 27, y = 14[/tex]
Math question, help? (Click on photo to zoom in) Thank you.
Answer:
the third one
Step-by-step explanation:
please help with math
Answer:
Step-by-step explanation:
diameter d=18 m
r=18/2=9 m
circumference=2πr=2π×9=18π square meters.
What does the expression m2p ÷ 3 equal if m = 3 and p = 6.
Answer:
12
Step-by-step explanation:
3*2*6 = 36
36/3 = 12
5x-4(3x-9)-2 I just can’t get the question right
Answer:
[tex] - 7x + 34[/tex]
Step-by-step explanation:
[tex]5x - 4(3x - 9) - 2 \\ 5x - 12x + 36 - 2 \\ = - 7x + 34[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
-7x + 34
Step-by-step explanation:
Hopefully this is simplify...
5x - 12x + 36 - 2
-7x + 34
Frankie is practicing for a 5 km race is normal time is 31 minutes 17 seconds yesterday it's a king only 29 minutes 49 seconds how much faster was Frankie yesterday then his normal time
Answer: He was 1 minute 28 seconds faster.
Step-by-step explanation:
Hi, to answer this question we simply have to subtract Frankie's time yesterday (29 minutes 49 seconds) to his normal time (31 minutes 17 seconds)
Mathematically speaking:
31m 17s - 29m 49s =
(31m-29 m) (17s-49s)=
2m -32s=
1m 60s -32s=
1m 28s
He was 1 minute 28 seconds faster.
Feel free to ask for more if needed or if you did not understand something.
Feel free to ask for more if needed or if you did not understand something.
How many solutions does this equation have?
–5n = 2 − 6n
Answer:
One solution
Step-by-step explanation:
–5n = 2 − 6n
–5n +6n = 2 − 6n + 6n (Addition Property of Equality)
n = 2
There is one solution to this equation. The value of 'n' is 2.
Answer:
n = 2 thus 1 solution
Step-by-step explanation:
Solve for n:
-5 n = 2 - 6 n
Add 6 n to both sides:
6 n - 5 n = (6 n - 6 n) + 2
6 n - 6 n = 0:
6 n - 5 n = 2
6 n - 5 n = n:
Answer: n = 2
You ask a friend to think of a number from 8 to 15. What is the probability that his number will be a multiple of three?
show work pls tnx!
Answer:
Step-by-step explanation:
numbers are 8,9,10,11,12,13,14,15
total events(numbers)=8
multiples of 3 are 9,12,15
or favorable events are 9,12,15
number of favorable events=3
P=3/8
Help me please it due tomorrow!!!!
Please and Thank you!!!
Thank you
Reading the story, that's just
2c + j - d = $9 + $9 + $70 - $8 = 88 - 8 = $80
Answer: $80
Answer:
$80
Step-by-step explanation:
$9+$9= $18
$18 + $70= $88
$88 - $8= $80
Do these side lengths make a right triangle? 6.4, 12, 12.2
Complete 1 for 5 points.
Answer:
Because if you multiply fractions you get a smaller number! for instance: (1/2)*(1/2)=(1/4) so you get a much smaller value. you merely multiply across so the denominator gets smaller.
A group of friends were working on a student film that had a budget of $500. They used $225 of their budget on costumes. What percentage of their total budget did they spend on costumes?
Answer:
45%
Step-by-step explanation:
divide $225 by $500
Answer: 45
Step-by-step explanation:
divide 225 with 500
In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?
Answer:
325,452 more meteors fell during the Perseid meteor shower
Step-by-step explanation:
An year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Minutes in an year:
365*24*60 = 525600
Persoid:
[tex]1 + \frac{1}{5} = 1 + 0.2 = 1.2[/tex]
One each 1.2 minutes. How many during an year?
1 meteor - 1.2 minutes.
x meteors - 525600 minutes.
[tex]1.2x = 525600[/tex]
[tex]x = \frac{525600}{1.2}[/tex]
[tex]x = 438000[/tex]
438,000 meteors fell during the Persoid shower.
Leonid:
[tex]4 + \frac{2}{3} = 4.67[/tex]
One each 4.67 minutes. How many during an year.
1 meteor - 4.67 minutes.
x meteors - 525600 minutes.
[tex]4.67x = 525600[/tex]
[tex]x = \frac{525600}{4.67}[/tex]
[tex]x = 112548[/tex]
112,548 meteors fell during the Leonid Shower.
How many more meteors fell during the Perseid meteor shower?
438,000 - 112,548 = 325,452
325,452 more meteors fell during the Perseid meteor shower
What is x???????need help
Answer:
100 degrees
Step-by-step explanation:
The angle x is opposite the angle that is 100 degrees.
Since they are opposite each other, they are vertical angles.
This means that they are congruent, or equal to each other.
Therefore,
x=100
x is 100 degrees
Simplify 15x to the second over 9x
A) - x over 5
B) 5x over 3
C) - 5 over x
D) -2x
Answer:
B
Step-by-step explanation:
We want to simplify [tex]\frac{15x^{2} }{9x}[/tex]. The numerator and denominator both have a common factor of 3x, and when we simplify by 3x, we get 5x/3, or B.
100 Points
Easy question
Topic: Multiplying and dividing fractions
Answer:
see below
Step-by-step explanation:
The trip takes 2 hours
Stopping every half hour means stopping at 30 minutes, 1 hour, 1.5 hours
We would not stop at 2 hours because we would be done.
One the number line R means rest stops
200 Km /4 means at 50 km, 100 km 150 km and 200 km
The rest stops are at 50 km 100 km 150 km (the one at 200 is at the end of the trip so it is not a rest stop
We have to stop for gas 3/4 of the way
200 *3/4 = 150 km
We will stop for gas at a rest stop at 150 km
Answers and Step-by-step explanations:
(a)
We want to find where to stop, so let's calculate the distances between the different rest points.
This is a distance-rate-time problem, so we need to use the equation d = rt, where d is the distance, r is the rate, and t is the time. Here, d = 200 km and t = 2 hours. So:
200 = r * 2
r = 100
Your speed is 100 km/hr. Now, you plan on stopping every half hour. We know that you drive 100 km in 1 hour, so that means you drive 100/2 = 50 km in half an hour. So, we want to draw a number line where every 50 km, there's a rest stop (red on attachment).
See attachment.
(b) We need to get gas at Fort MacLeod, which is 3/4 of the way to Lethbridge. The total distance is 200 km, so 3/4 of that will be:
(3/4) * 200 = 600 / 4 = 150 km
So, mark the place that is 150 km (blue on attachment).
See attachment.
Note that the green simply represents your entire trip from Calgary (start) to Lethbridge (end).
Un naipe inglés consta de 52 cartas repartidas en cuatro pintas distintas, de las cuales dos son rojas (corazón y diamante) y dos son negras (pique y trébol). Cada pinta consta de 3 figuras: rey (K), dama (Q), caballero (J) y de 10 cartas numeradas desde 1 (as) a 10, entonces, la probabilidad de obtener un "AS" de las 52 cartas de una baraja inglesa es:
Answer: P = 4/52 = 0.077 or 7.7%
Step-by-step explanation:
I will answer in English.
We have a deck of 52 cards, and we want to find the probability of drawing, at random, a 1.
We have 4 1's in the deck, one for spades, one for hearts, one for diamonds and one for clovers.
So the probability can be calculated as the quotient between the total number of 1's in the deck and the total number of cards in the deck, this is:
P = 4/52 = 0.077
Kajal holds a ruler in some wavy water. The depth of the water t seconds after she starts measuring it, in cm, is given by D(t)=50−23sin(π(t+0.23)) . After she starts measuring, when is the first time the depth of the waves is at its average value? Give an exact answer.
Answer:
t = 0.77
Step-by-step explanation:
D(t) = 50 - 23 sin(π(t + 0.23))
The value of the sine function has a maximum of -1 and a minimum of 1.
The average value of the sine function is 0.
At maximum sine value:
D(t) = 50 - 23(1) = 50 - 23 = 27
At minimum sine value:
D(t) = 50 - 23(-1) = 50 + 23 = 73
At average sine value of 0:
D(t) = 50 - 23(0) = 50 - 0 = 50
The average depth of the waves is 50 cm.
Now we need to find at what time, t, that occurs.
D(t) = 50 - 23 sin(π(t + 0.23)) = 50
50 - 23 sin(π(t + 0.23)) = 50
-23 sin(π(t + 0.23)) = 0
sin(π(t + 0.23)) = 0
The value of the sine is 0 at 0, π, 2π, ..., nπ
π(t + 0.23) = nπ
t + 0.23 = n
t = n - 0.23
n is all integers, but here we are concerned with the first occurrence after time equals zero, so we want n = 1.
t = 1 - 0.23
t = 0.77
22. 48.6% of the North Dakota population over 18 years old is female.
65.9% of the total population of North Dakota over 18 years old has
enrolled in college at some point in their lives. If these two events are
independent of each other, what is the probability that a randomly
selected adult in North Dakota will be a female who has enrolled in
college, to the nearest percent.
Answer:
32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.
Step-by-step explanation:
We have these following probabilities:
48.6% probability that a randomly selected adult in North Dakota is a female.
If a randomly selected adult in North Dakota is over 18, 65.9% probability that they have enrolled in college at some point in their lives.
These events are independent.
This means that to find the probability that a randomly selected adult in North Dakota will be a female who has enrolled in college, we can just multiply these probabilities.
P = 0.486*0.659 = 0.32 = 32%
32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.
Answer:
the probability that a randomly selected adult in North Dakota will be a female who has enrolled in
college is 32%
Step-by-step explanation:
Given;
48.6% of the North Dakota population over 18 years old is female
P(f) = 48.6% = 0.486
65.9% of the total population of North Dakota over 18 years old has enrolled in college at some point in their lives;
P(c) = 65.9% = 0.659
Since, these two events are independent of each other, the probability that a randomly selected adult in North Dakota will be a female who has enrolled in
college is;
P(f∩c) = P(f) × P(c) = 0.486 × 0.659 = 0.320274
P(f∩c) = 0.32
P(f∩c) = 32%
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer:
The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
In this case we can apply a rule of three to calculate the time it'll take for the 32 electricians to finish the job. This is done below:
24 electricians -> 36 days
32 electricians -> x days
We have to be careful here, since the variables are inversely proportional, since if there are more electricians working on the same job, we expect the job to be finished in fewer days, therefore we need to invert one of the fractions as shown below:
[tex]\frac{24}{32} = \frac{x}{36}\\32*x = 36*24\\x = \frac{864}{32}\\x = 27[/tex]
The 32 electricians are expected to finish the job in 27 days.
Answer:
27
Step-by-step explanation:
what is the answer = 8w- 8 - 6w = 4w - 7
w= ??
Answer:
- 1/2 (or - 0.5)
Step-by-step explanation:
so first, simplify by combining like terms.
so 8w-6w = 2w
so now we have
2w - 8 = 4w - 7
now we have to get the w's to one side of the equation so we can solve for it. so that mean we have to subtract 2w from both sides. 2w - 2w is 0. and then 4w - 2w = 2w. so now we have
-8 = 2w - 7
then to slowly start isolating w, add 7 to both sides of th equation. so now its
-1 = 2w
finally to get w by itself divide 2 from both sides.
and the answer is
-[tex]\frac{1}{2}[/tex] = w
Assuming a motorcycle traveled 80 miles in 5 hours at a constant speed, How far did it go in 1 hour?
Answer:
16 miles
Step-by-step explanation:
We can write the ratio of miles:hours as 80:5 using the given information. Because we want to find the distance of 1 hour, we can divide the ratio by 5 (because 5/5 is 1, and we want 1 on the "right side") which gets us 16:1. This means that the motorcycle traveled 16 miles in one hour. Hope this helps!
Answer:
16 miles in 1 hour
Step-by-step explanation:
We can use ratios to solve
80 miles x miles
------------------- = ------------------
5 hours 1 hours
Using cross products
80*1 = 5x
Divide each side by 5
80/5 = 5x/5
16 =x
16 miles in 1 hour
Complete question 1.
Answer:
multiply by the reciprocal!
so if you have 1/(2/5) it is the same as 1 * (5/2)
which polynomial is prime
Answer:
C i think
Step-by-step explanation:
What two integers is the square root of 84 between?
7 and 8
8 and 9
9 and 10
Answer:
9 and 10
Step-by-step explanation:
We know that 9 can be expressed as √81, and 10 is equal to √100, and because 81 < 84 < 100, it is in between 9 and 10. Hope this helps!
Determine the value of the power 1^5
Determine the value of the power 4^7
Determine the value of the power 3^10
WHICH OF THESE DO NOT DESCRIBE THE NUMBER 1024
A: 4^5
B: 32^2
C: 2^9
D: 1024^1
Finally, how would you convince someone that x^3 could be a lot more than x^2 but could it also be the only a little more than or even the same as x^2?
1^5 is 1
4^7 is 16384
3^10 is 59049
The answer is C
Answer:
a) 1^5 = 1
b) 4^7 = 16384
c) 3^10 = 59049
C: 2^9 ≠ 1024
The exponent 8² = 64 while 8³ = 512, but 2² = 4 while 2³ = 8.
Step-by-step explanation:
Not much explanation but hope this helps!
I have 5 blue pants and 6 pants with a zipper. If I have 9 pants that are either blue or have a zipper or both, how many pants are both blue and with a zipper
Answer:
2
Step-by-step explanation:
Blue pants: 5
Zipper pants: 6
total amount of pants (blue, zipper or both): 9
to find the pants that have both qualities, we need to find the difference between the total amount of pants and the sum of the blue and zipper pants:
sum of blue and zipper pants: 5 + 6 = 11
you can tell that there is a difference of
11 - 9 = 2 pants
this means that these 2 pants belong to both categories (blue and with a zipper). Thus there are 2 pants that are blue and have a zipper