Answer: [tex]1460.96ft^3[/tex]
Step-by-step explanation:
You have a cylinder and a cuboid. Find each of these figures' volume individually and add them together.
Cylinder:
height = 4ft
radius = 4ft
[tex]Formula: V=\pi r^2h[/tex]
[tex]V=(3.14)(4ft)^2(4ft)\\V=(3.14)(16ft^2)(4ft)\\V=(3.14)(64ft^3)\\V=200.96ft^3[/tex]
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Cuboid:
[tex]Formula: V = l*w*h[/tex]
[tex]V=(15ft)(7ft)(12ft)\\V=1260ft^3[/tex]
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Add these two volumes together.
[tex]200.96ft^3+1260ft^3=1460.96ft^3[/tex]
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
Which of the following values is the solution to the equation
-35x = -105 ?
1.)3
2.)-3
3.)-1/3
4.)1/3
Answer:
1.) 3
Step-by-step explanation:
Divide each side by -35. Whatever you do to one side of the equation, you must do to the other side.
[tex]\frac{-35x}{-35}[/tex] = [tex]\frac{-105}{-35}[/tex]
X = 3
ANSWER PLEASE FINAL DUE IN 3 HOURS
Suppose a normal distribution has a mean of 120 and a standard deviation of 10. What is P(x ≥ 130)?
A.
0.475
B.
0.84
C.
0.16
D.
0.975
Answer:
B
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 130, mean = 120 and SD = 10
Substituting these values
z-score = (130-120)/10 = 10/10 = 1
So the probability we want to calculate is;
P(z ≥ 1) = 1 - P(z <1)
From standard score table, P(z <1) = 0.15866
P(z ≥ 1) = 1-0.15866 = 0.84134
Answer:
0.16
Step-by-step explanation:
if a number is randomly chosen from the following list what is the probability that the number is a multiple of 5?
{32, 49, 55, 30, 56, 28, 50, 40, 40, 45, 25}
Answer:
7/11
Step-by-step explanation:
There are 11 numbers with only 7 numbers with a multiple of 5.
Answer:
7/11
Step-by-step explanation:
first, you must determine which numbers are multiples of five. multiples of five are numbers 5 or greater that end in 0 or 5. for example, 5,10,15,20,25... . from this list, you can tell that 7 of these numbers are multiples of 5 : 55,30,50,40,40,45,25 . Next, you count the total amount of numbers. there are 11 numbers in the list. so, the probability of randomly choosing a multiple of 5 is 7/11 :)
PLEASE HELP WILL GIVE BRAINILEST
Look at the figure below:
Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.
Answer:
I think it was easy.
Use the distributive property to write a new expression that is equivalent to this expression. 8 (-x -(1/2)
Answer:
-8x-4 is the answer using distributive property.
Answer:
-8x -4
Step-by-step explanation:
8 (-x -(1/2))
Distribute
-8*x + 8*-1/2
-8x -4
Sean is travelling. He has a flight of 4 hours 50 minutes, a stopover of 40 minutes and then another flight of 2.5 hours. What is his total travel time? Give your answer in hours and minutes.
Answer:
8 hours
Step-by-step explanation:
Convert all the hours to minutes, then convert back at the 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
The drama club is holding auditions for 5 different parts in a one-act play. If 9 people audition, how many ways can the roles be assigned?
A. 362,880
B. 15,129
C. 126
D. 120
Answer:
It is B, I got it right on edman!
Step-by-step explanation:
The correct ways can the roles be assigned is 84 ways.
To find ways can the roles be assigned.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given That:
Total individuals = 9
Available roles = 5
First, it'll be assumed that no two individual shares a role and no single individual takes two roles.
Having said this, the number of ways the roles can be assigned can be calculated using the combination formula as follows.
ⁿCr = C(n,r)
Where n represents the total individuals
n = 9
r represents the available roles
r = 5
So,
ⁿCr = C(n,r)
⁹C₆ = C(9,6)
⁹C₆= 9!/((9-6)!*6!)
⁹C₆ = 9!/(3!*6!)
⁹C₆ = (9 * 8 * 7 * 6!)/(6! * 3 * 2 * 1)
⁹C₆ = (9 * 8 * 7)/(3 * 2 * 1)
⁹C₆ = 504/6
⁹C₆ = 84
Hence, 9 roles can be assigned to 5 people in 84 ways.
Learn more about combination here:
https://brainly.com/question/16705925
#SPJ5
The missing option is
E. 84
An arc subtends a central angle measuring \dfrac{3\pi}{5} 5 3π start fraction, 3, pi, divided by, 5, end fraction radians. What fraction of the circumference is this arc?
Answer:
[tex]\dfrac{3}{10}[/tex]
Step-by-step explanation:
Length of an arc[tex]=\dfrac{\theta}{2\pi}X 2\pi r=\theta r[/tex]
If the central angle of the arc is [tex]\dfrac{3\pi}{5}[/tex]
Length of an arc[tex]=\dfrac{3\pi r}{5}[/tex]
Therefore:
Ratio of the length of the arc to the circumference
[tex]=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}[/tex]
Therefore, the arc is [tex]\dfrac{3}{10}[/tex] of the circumference is this arc.
Answer: 3 /10
Step-by-step explanation: Khan Academy
what is 9/5 as a decimal?
Answer:
it is 1.8 im sure thats the answer
Step-by-step explanation:
Answer:1.8
Step-by-step explanation:
A game board has a spinner with 10 equal-sized sections, of which 4 are green, 3 are blue, 2 are yellow, and 1 is red. What is the sum of the probabilities of the pointer landing in the green, blue, yellow, and red sections? Explain.
Alex is drawing rectangles with different areas on a centimeter grid . He can draw 3 different rectangles with an area of 12cm squared how many different rectangles could Alex draw with an area of 11 cm squared give a reason for your anwser please i need help please anwser this quikly.
Answer:
Number of rectangles could alex draw with an area of 11cm² = 1
Step-by-step explanation:
Minimum length in centimeter grid = 1 cm
Alex is drawing rectangles with different areas on a centimetre grid.He can draw 3 different rectangles with an area of 12cm²
That is
[tex]12 = 1 \times12\\\\12=2\times6\\\\12=3 \times4[/tex]
These are the 3 different rectangles with an area of 12cm².
Now we need to find how many rectangles could alex draw with an area of 11cm².
11 = 1 x 11
So only one factorization is possible.
Number of rectangles could alex draw with an area of 11cm² = 1
Answer:
Alex can only drawn 1 rectangle with an area of 11 cm²
Step-by-step explanation:
When Area = 12 cm², Alex could draw 3 rectangles.
This is because, Area of a rectangle = Length * Breadth
and the factors of 12 are 1, 2, 3, 4, 6, and 12.
The 3 triangle formed can be gotten from the correct combinations of these factors, which are 12 × 1, 2 × 6, 3 × 4.
All of these three combinations give us an area of 12 cm²
Similarly when Area = 11 cm², 11 is a prime number and its factors are 1 and 11.
The only combination that can be made from these factors is 11 × 1.
This means that only one rectangle can be drawn
A small theater had 6 rows of 23 chairs each. An extra 8 chairs have just been brought in. How many chairs are in the theater now?
Answer:
146
Step-by-step explanation:
6 * 23 = 138
138 + 8 = 146
Answer:
146
Step-by-step explanation:
6x23 = 138
138+8= 148
Determine what type of model best fits the given situation:
The membership of the local PTA increases by 3 members a day for each day during the month of September.
A. exponential
B. quadratic
C. none of these
D. linear
Complete question 1.
Answer:
multiply by the reciprocal!
so if you have 1/(2/5) it is the same as 1 * (5/2)
How many whole numbers are less than n+1?
Thx
Answer:
[tex]n[/tex]
Step-by-step explanation:
The expression [tex]n+1[/tex] represents infinite numbers, because [tex]n[/tex] can be all positive numbers, all negative numbers, or can be an element of the whole number field.
So, generally speaking, the numbers less than [tex]n+1[/tex] are [tex]n[/tex], because [tex]n<n+1[/tex].
Therefore, an expression less than the given one is [tex]n[/tex]
Answer:
n+1
Step-by-step explanation:
A shirt costs $34. Sales tax is 6%. What is the total amount including tax
Answer:
the answer is $36.04
Step-by-step explanation:
34 dived into 100= 0.34 times 6 equals 2.04 34+2.04=36.04
find a rational number between 3 and 4
Answer:
3.1, 3.2, 3.3
Step-by-step explanation:
There are infinite options but a rational number is a fraction, decimal, or repeating decimal.
3 [tex]\frac{1}{3}[/tex] is an example of a fraction between 3 and 4
3.2 is an example of a decimal between 3 and 4
3.3333333... is an example of a repeating decimal between 3 and 4
Answer: 3.2526252625...
Explanation: The number above would be a rational number because it's a repeating decimal. Notice that in the decimal above, 2526 is a group of repeating digits and repeating decimals are rational.
PLSSSSSS HELPPPP MEEE WITHH THISS QUESTION ASAP NO GUESSING AND ANSWER CORRECTLY!!!!!!
Which of the following can be used to describe the crowds who attended Jackson's inauguration ceremony?
A. very crowded
B. violent
C. rowdy
D. not crowded
WILL BE MARKING BRAINIEST!!!!! SO PLEASEE SHOW, EXPLAIN, AND PUT EFFORT PLSSSSSSS!!!!!!
Answer:
A
Step-by-step explanation:
Answer: C-rowdy
- Rowdy is being noisy and the question is asking you to describe Jackson's crowds who attended the ceremony.
helppp plzzz idk I need help
Answer:
The correct answer is y.
Step-by-step explanation:
hope it works out !!
khan academy help please!
Answer:
4 to 7
Step-by-step explanation:
d and q go in to a frasesal angle langatuide.
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
14.13
Step-by-step explanation:
Step 1) Find the total area
A = pi x r^2
A = pi x 3^2
A = 9pi
Step 2) Divide the total area by 4
9pi / 4 = 2.25pi
2.25pi = 7.07
A = 7.07 square feet
Hope this helps! :)
Willow Boulevard intersects Main Street at a 71° angle, as shown in the diagram below. What is the measure of angle x ? Explain how you determined your answer.
Answer:
Angle x + 71 degrees = 180
x = 109 degrees
Step-by-step explanation:
Consider the following ratios and state that whether these ratios forms a proportion?
Case1 - 20 friends to 15 strangers
Case 2 - 4 friends to 3 strangers
A.Yes
B.No
Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
Answer: ____________
Note: Type the answer as shown. Ex: (3:8)
Answer:
Prt A- Yes
Part B- 5:1
Step-by-step explanation:
The ratios in cases 1 and 2 form a proportion. This can be seen by dividing case a by 5 which gives 4:3;
i.e 20:15 = 20
15
If you divide both numerator and denominator by 5, we have 4/3.
This shows that case 1 and 2 have the same proportions of friends to strangers.
Part B.
The number of friends in case 1 is 20 while in case 2 is 4.
we have, 20:4
= 20
4
Dividing each by 4, we have 5:1.
This means that the ratio of friends that in case 1 to case 2 is 5:1.
cheers
The radius of a circular baking tray is 6 cm. Find its area correct to 2 decimal places. Use the π button on your calculator for π in your calculations.
Answer:
[tex]A \approx 113.10cm^2[/tex]
Step-by-step explanation:
The circle is a flat surface or area limited or closed by a circumference. It is a two-dimensional figure and is formed by making a curve where it will always have the same distance to the center. Its area can be calculated using the following formula:
[tex]A=\pi r^2\\\\Where:\\\\r=radius[/tex]
Therefore the area of the circular baking tray is:
[tex]A=\pi (6)^2=\pi*36=36 \pi=113.0973355\approx 113.10 cm^2[/tex]
What is the difference?
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
Help! An empty cup in the shape of a cylinder (pictured below) is being filled with water.
Answer:
( About ) 90%
Step-by-step explanation:
We are given the table below;
Number of seconds | Amount of water
0 | 0
3 | 75
6 | 150
Now from this table we see that the rate change is that for every 3 seconds of difference, the amount of water increases by 75 cm^3;
If that is so, the amount of water after 7 seconds is 150 + ( 75 / 3 ), provided the difference in seconds between 6 and 7 is 1 / 3rd that of the difference between 0 and 3, or 3 and 6;
150 + ( 75 / 3 ),
150 + 25,
175 cm^3
Now let us compute the total volume of this cylinder, as such;
πr^2 * height,
π * ( 3 )^2 * 7,
9 * π * 7,
Volume of can ⇒ 197.82 cm^3
175 / 197.82 = 0.9 = Solution; 90%
Answer:
208
Step-by-step explanation:
calculator plus had the same question before
The cone and the cylinder below have equal surface area.
3r
27