A sculptor plans to ship the pyramid shown in one of three boxes. The interior of the pyramid holds 4,500 cm3 of water. The base is an isosceles trapezoid. Into which boxes will the pyramid fit? Drag “yes” or “no” to each box height.
Answers
Answer:
28 cm and 32 cmStep-by-step explanation:
Volume of the pyramid:
V = 1/3BhFind base area:
B = 1/2(20 + 30)*20 = 500 cm²Substitute value of the volume and find the height of the pyramid:
4500 = 1/3*500*hh = 4500*3/500h = 27 cmThe boxes with h > 27 can fit the pyramid:
28 cm and 32 cmArea of base
1/2(30+20)(20)10(50)500cm²Volume=1/3Area×Height
Height
4500(3)(500)27cmSo answers are
boxes of 28cm and 32cn
Related Questions
Find the area. Show your work.
Answers
Answer:
92 units^2
Explanation:
Assuming both sides are congruent.
RU and TU are tangent to OS. Find mZR.
A. 63°
B. 54°
C. 126°
D. There is not enough information to determine
Answers
Answer:
A. 63
Step-by-step explanation:
EDGU 2020
There are 150 children attending a summer camp. Students were provided with the option to sign up for swimming and canoeing. The results are shown.
• 71 children signed up for swimming
• 62 children signed up for canoeing
• 28 students signed up for both swimming and canoeing
Part A: Which two-way table summarizes the data?
Answers
Answer:
A
Step-by-step explanation: took test
In table, the rows represent whether or not a student signed up for swimming, and the columns represent whether or not a student signed up for canoeing.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
To create a two-way table summarizing the data, we need to list the categories we are interested in and then fill in the counts for each combination of categories.
In this case, we are interested in the categories of swimming and canoeing, and we want to know how many students signed up for each combination of the two activities.
Canoeing No Canoeing
Swimming 28 43
Not swimming 34 45
Hence, the rows represent whether or not a student signed up for swimming, and the columns represent whether or not a student signed up for canoeing.
To learn more on Statistics click:
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The graph of f(x)=cos(x) is transformed into a new function, g(x), by stretching it vertically by a factor of 3 and shifting it 2 units up.
What is the equation of the new function g(x)?
Enter your answer in the box
g(x)=
Answers
Answer:
I think 3cosx+2 would be g(x)
A computer programmer worked for 5 hours and earned $25, which is a rate of $_ Per hour
Answers
Answer:
They earned 5 dollars per hour
Step-by-step explanation:
Take the amount earned and divide by the number of hours
25/5
5
They earned 5 dollars per hour
two swimmers swam lobstering practice together the swim 175 laps swmmier b swam 25 more than twice as many as swimmer a how many laps did swimmer a swim
Answers
Answer:
swimmer b swims 100 yards. approximately how many more feet did swimmer a swim than swimmer b? 2.
Step-by-step explanation:
Sal's snack mix uses 4 cups of chips mixed with 1 cup of pretzels to make a total of 5 cups of snack mix. What percent of the total snack mix recipe are the pretzels?
Answers
Answer:
1/5
Step-by-step explanation:
There are five cups of snack mix.
One cup is pretzels.
1/5; one cup out of five is pretzels .
An olive press produces 6 2/3 gallons of oil in 32 minutes. At this rate, how many gallons of olive oil will be produced in 1 hour?
A. 3.6 gallons
B. 12.5 gallons
C. 8.8 gallons
D. 6.2 gallons
PLEASE HELP ITS A TEST!!!!
Answers
Can someone explain this plss
will mark branliest.
tyyyy <3
Answers
Answer:
H and J are not true
Step-by-step explanation:
H) 12/65 ≠ 55/300
J) 11/65 ≠ 60/400
Use substitution to solve the
following system of equations.
9x + 5y = 32 AND y = -3x + 4
Answers
Answer:
x = -2
y = 10
Step-by-step explanation:
Since they already gave y as -3x +4, you will then have to substitute that amount into the formula
9x + 5y = 32
By doing that you get
9x +5(-3x+4) = 32
9x -15x +20 = 32
Then, you ill take 20 to the other side to subtract 32, which will get you
-6x = 12
Then, you will get x = -2
Then substitute that for the equation
y = -3x + 4
You will get
y = -3(-2) + 4,
You will get y as 10
SO then your final answer is x = -2, y = 10
man can so help me wit this ixk and give the real answer ill give u 80 point plz
Answers
Answer:
136
Step-by-step explanation:
Answer:
136
step by step explanation
Please HELP IM FALLING MATH PLEASE HELP
Answers
Answer:
D
Step-by-step explanation:
32+35=67
90-67=23
it won't let me type in the comments for some reason but i got 90 because andgle MLQ is a right angle so it is 90 degrees
At the craft store, Gabby bought a bag of blue and red marbles. She received 63 blue marbles and 21 red marbles. What percentage of the marbles were blue?
Write your answer using a percent sign (%).
Answers
Answer:
75%
Step-by-step explanation:
63+21 = 84
That is the overall amount of marbles, this allows you to get a percentage
63/84 = .75 = 75%
whats the answer to this
Answers
Answer:
Maybe 5?
Step-by-step explanation:
If not im really sorry!!!!!!!
Adina has a total of $1.65 in nickels and dimes. The number of dimes is 6 more than the number of nickels. How many coins are there of each type?
Choose the correct system of equations needed to solve this problem.
A
0.10d+0.05n=60.10d+0.05n=60.10d+0.05n=6
n+d=1.65n+d=1.65n+d=1.65
B
d=n+6d=n+6d=n+6
0.05n+0.10d=1.650.05n+0.10d=1.650.05n+0.10d=1.65
C
n=d+6n=d+6n=d+6
0.10d+0.05n=1.650.10d+0.05n=1.650.10d+0.05n=1.65
D
n=d+6n=d+6n=d+6
0.05n+0.10d=1.650.05n+0.10d=1.650.05n+0.10d=1.65
Answers
Answer:
C
Step-by-step explanation:
If you divide 1.65 by 6 you'll get 0.275 so then you'll add d+6n to get d+6 and then you'll solve the question for 6n and you'll get 1.65
which of the following could be factored by grouping?
a. wy+wz+xy-xz
b. wy+yz-wx+yz
c. wy+wz+xy+xz
d. wx+wz-wy+wv
Answers
Answer:
wy+wz+xy+xz
Step-by-step explanation:
C.) wy+wz+xy+xz could be factored by grouping.
What is factorization by grouping?Method of factorization by grouping the terms:
(i) From the groups of the given expression a factor can be taken out from each group.
(ii) Factorize each group.
(iii) Now take out the factor common to group formed.
= wy + wz + xy + xz
= w(y+z) + x(y+z)
= (w+x)(y+z)
Learn more about factorization by grouping here
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What is the probability a customer ordered a small, given that he or she ordered a hot drink?
Answers
All of them are 100
5 are hot
Answer:
7% is the answer
Step-by-step explanation:
PLEASE HELP ME ITS MY LAST QUESTION
Answers
Answer:
30 degrees
Step-by-step explanation:
yes
Step by step exploration
X+30+90=180
X=180-90-30
X=60
The answer to a statistical question includes variability in data. Choose ALL examples of statistical questions es A) How much do the animals on the farm weigh? B) How old are all the teachers at the school? How old is the oldest teacher at the school? D How much does the black and white puppy weigh? E) How many students ate lunch in the cafeteria today?
Answers
Answer:
A and C
Step-by-step explanation:NLE Choppa said so
Answer:
a and c
Step-by-step explanation:
The sum to infinity of a geometric series is 4 and the second term is 1. Find the first,third and fourth terms.
Answers
Answer:
2, 0.5 and 0.25.
Step-by-step explanation:
The nth term an = a1r^(n-1) where a1 = first term and r = the common ratio.
The sum to infinity = a1/(1-r) for -1 < r < 1.
So we have:
Second term a2 = 1 = a1(r)(2-1) = a1r and
4 = a1/(1 - r)
From the first equation:
a1 =1/r
So substituting in the second equation:
4 = 1/ r / (1 - r)
4 = 1 / r - r^2
4r - 4r^2 = 1
4r^2 - 4r + 1 = 0
(2r - 1)(2r - 1) = 0
r = 0.5
So the first term a1 = 1/ r =1/0.5 = 2.
The third = 1*0.5 = 0.5
and the 4th = 0.5*0.5 = 0.25.
The table represents some points on the graph of a linear function.
Х
-1
5
7
11
у
6
3
2.
o
What is the rate of change of y with respect to x for this function?
2
O
2
-2
Answers
Answer:
should i provide formula
Ile to 12308+11093=??????pomóżcie
Answers
Answer:
Twoja odpowiedź brzmi 23401.
Spójrz na zdjęcie, aby uzyskać dalsze wyjaśnienia.
The mean temperature for the first 4 days in January was 4°C.
The mean temperature for the first 5 days in January was 5°C.
What was the temperature on the 5th day?
Answers
Answer:
9°C
Step-by-step explanation:
Total temperature= mean * number of days
Total for 4 days=4°C * 4days=16°C
Total for 5 days=5°C * 5days=25°C
Temperature for 5th day =25-16
=9°C
The expression (x^3)(x^-17) is equivalent to x^n. What is the value of n?
Answers
Answer:
n = -14
Step-by-step explanation:
when multiplying bases, add their exponents
Find the Value of x.
Answers
Answer:
110
Step-by-step explanation:
35 + 35 = 70
180 - 70 = 110
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6
Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001. Using the sine regression model predict what the temperature would be given y(30).
a.
58.4 degrees
b.
62.3 degrees
c.
76.8 degrees
d.
86.0 degrees
Please select the best answer from the choices provided
Answers
The sine regression model is [tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex], and the value of y(30) is 76.8 degrees
What is a regression model?A regression model is used to determine the association and correlation between two variables
Using a graphing calculator, the sine regression model of the dataset is:
[tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex]
To calculate y(30), we substitute 30 for x in the equation.
So, we have:
[tex]y =20.077 \sin(0.500 * 30- 1.959) + 67.577[/tex]
Evaluate the product
[tex]y =20.077 \sin(15- 1.959) + 67.577[/tex]
Evaluate the difference
[tex]y =20.077 \sin(13.041) + 67.577[/tex]
Evaluate the sine value
[tex]y =20.077 *0.4570+ 67.577[/tex]
Evaluate the product
[tex]y =9.1752+ 67.577[/tex]
Evaluate the sum
[tex]y =76.7522[/tex]
Approximate
[tex]y \approx 76.8[/tex]
Hence, the sine regression model is [tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex], and the value of y(30) is 76.8 degrees
Read more about regression models at:
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A child's ticket to a concert costs x and an adult ticket cost four times as much as a child's ticket The difference between Mrs. Royal ticket and her
child's tickets is $600.
(a) Write an equation to show this information.
(b) Solve your equation and write down the cost of an adult ticket.
Answers
Answer:
Mrs.Royal's ticket costs $800.
Step-by-step explanation:
Child's Ticket= x
Adult's Ticket= 4x
4x-x=600
3x=600
x=200
200*4=800
all about dividing rational number, please help!
Answers
Answer: multiple the fractions
Step-by-step explanation:
1, 43/8 ÷3/2 when we write it as multiplication it is going to be 43/8*2/3
and the solution is
=86/24
simplify it
the result is
=43/12
2, 32/3÷4/3
then 32/3*3/4
=8
3, 51/4÷5/2
then 51/4*2/5
=51/10
What is the multiplier? *
х y
0 0.01
1 0.005
2 0.0025
3 0.00125
options:
a) 2
b) 5
c) 1/5
d) 1/2
Answers
Which is the answer. A B C D?