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Find the volume of the trapezoidal prism:
- 29in^3
- 48in^3
- 228in^3
- 2016^3
Answers
Answer:
C. 228 in^3
Step-by-step explanation:
WH(A + B)/2. In other words, multiply together the length, height, and average of A and B. A and B are the two base lengths.
=(4)(6) x (12 + 7)/2
=24 x (19/2)
= 24 x 9.5
= 228
Related Questions
A fifth-grade student bought three cans of tennis balls for $4 each. Sales tax for all three cans was $.95. Write an expression to show the total amount the student paid. *
Answers
Answer:
3x4+3x.95
Step-by-step explanation:
it's just adding the things but there's other ways like 3(4+.95) etc
You have a 25 cm piece of ribbon. How many cuts do you need to make to obtain the greatest number of pieces, where each piece is a different length and the length of each piece is a whole number, in centimeters?
Answers
Answer:
The cloth length is 400cm
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
honestly the easiest way to do this question is trial and error.
to cut the ribbon into 5 pieces they have to be sizes 3cm, 4cm, 5cm, 6cm and 7cm
The histogram shows the ages of the players in an adult volleyball league. Which of the
following statements is true?
Volleyboll Players Ages
The older the age group, the greater the
number of players
5
There are 30 players between ages 20 and 25.
Number of Players
More than half of the players are under age
40.
20% 30% 50's 70's
Age Group
There must be 5 players between 50 and 55.
Answers
Answer:
More than half of the players are under age
40.
Step-by-step explanation:
Evaluating the expression : More than half of the players are under age 40.
Below 40s :
Number of players in 20s = 19
Number of players in 30s = 24
(19 + 24) = 43 players
40s and above :
40s = 8 players
50s = 10 players
60s = 5 players
70s = 2 players
(8 + 10 + 5 + 2) = 25 players
Hence, total number of players below 30s is more Than half of the total players
Solve for m
13x - 10
M
N
7x - 10
Answers
Answer:
x = 10
Step-by-step explanation:
Given:
Arc LM = 13x - 10
Arc MN = 7x - 10
Required:
Solve for x
Solution:
Recall: half a circle = 180°
Therefore,
Arc LM + Arc MN = 180°
13x - 10 + 7x - 10 = 180
Add like terms
20x - 20 = 180
20x - 20 + 20 = 180 + 20
20x = 200
20x/20 = 200/20
x = 10
Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
Step-by-step explanation:
take 35 degree as reference angle
using cos rule
cos 35=adjacent/hypotenuse
0.81=x/78
78*0.81=x
63.18=x
63.2=x
The value of x for the given triangle is x = 63.2.
What is trigonometric identity?
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Given that the angle is 35 and the adjacent side is x and the hypotenuse is 78.
The measure of value x will be calculated below,
cos(35)°=adjacent/hypotenuse
0.81=x/78
Multiply the value by 0.81 by 78 and solve for x,
78 x 0.81=x
63.18=x
63.2=x
Therefore, the value of x will be 63.2.
To know more about trigonometric functions follow
https://brainly.com/question/1143565
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SOMEONE PUT AN ANSWER SO IT DOESNT GET DELETED!!!
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is zx square units,
The area of the cylinder's base is ex square units,
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
THE ANSWER IS B AND E
Answers
Answer:
The height of the cylinder is 4x units.
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = x/2
Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3
n3^2 x h = 216
h = 216/9 = 24
so the height is 4 times the diameter
Area of the base = nr^2
1/2^2 x x = 1/4 pi x^2
what is the median of the data? 68,69,71,71,71,73,74,75,75,78 answers: 71,72,78,72.5
Answers
please help
thank you
Answers
Answer:
Step-by-step explanation:
-4<n≤5
alls arrive at a call center at an average rate of 100/min. Depending on the availability of a service representative, calls may be either answered immediately or wait in line for the next available representative. On average, including waiting time, a call requires 4.4 minutes. How many callers, on average are in the system at any given time
Answers
Answer:
the number of callers on average are in the system at any given time is 440
Step-by-step explanation:
Given that
The calls that arrive in a call center have an average rate of 100 per min
But it we involve the waiting time so the call needed 4.4 minutes
We need to to find no of callers are in the system at any given time
SO,
= 100 per min × 4.4
= 440
hence, the number of callers on average are in the system at any given time is 440
The same would be considered
Solve the right triangle. Round decimal answers to the nearest tenth.
PLS PLSS HELPPPP 25 POINTSSS
Answers
Answer:
Step-by-step explanation:
[tex]14^2 = b^2+6^2\\b^2 = 14^2-6^2\\b = \sqrt{14^2-6^2} \\ = \sqrt{160}\\ = 12.6491106407[/tex]
Rounding off to nearest tenth:
b ≈ 12.6
tanθ = 6/12.6
[tex]tan^{-1} (6/12.6)\\ = 25.46334506\\[/tex]
Hence angle A ≈ 25.5
Angle B = 180-25.5-90
Angle B = 64.53665494
Hence, Angle B ≈ 64.5
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what is the volume of this container? 2000 cm? 2125 cm? 125 cm? 1875 cm?
Answers
Answer:
125cm^3
Step-by-step explanation:
5x5x5=125
Hope this helped :)
A truck weighs 14,000 pounds how many tons do two truck weigh
Answers
Answer:
14 tons
Step-by-step explanation:
1 truck -- 14 000 pounds
2 trucks -- (14 000 * 2) = 28 000 pounds
1 pound --- 0.0005 tons
So, 28 000 pounds --- 14 tons
Thenks and mark me brainliest :)
What is the coefficient of the 3rd degree
term in this polynomial?
3x2 + x - 2x3 – 10
Answers
Answer:
-2
Step-by-step explanation:
[tex]3x^2 + x -2x^3 -10 \\\\3x^2 + x + (-2)x^3 + (-10)[/tex]
Answer:
-2.
Step-by-step explanation:
-2x^3 is the third degree term.
Eight new graduates are hired by an engineering firm. Each is assigned at random to one of eight cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles
Answers
Answer:
the probability that they are assigned adjacent cubicles is 1 ÷ 4
Step-by-step explanation:
Given that
There is 8 new graduates are hired
2 of the graduates are bill and cathy
And, each one is assigned on random basis
We need to find out the probability
So,
= (2) (7!) ÷ (8!)
= (2) ÷ (8)
= 1 ÷ 4
Hence, the probability that they are assigned adjacent cubicles is 1 ÷ 4
The same would be relevant
Slove It!!! I need help!
Answers
Answer:
6 should be the correct answer!
Step-by-step explanation:
all of the work I did, you can ignore these:
1 x 2 = 2
2 x 2 = 4
2 x (2 - 1) = 2 x 1 = 2
2 + 4 = 6
Answer:
The answer is 6
Step-by-step explanation:
1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in seconds), and is given by the formula h(t) = -16t2 + 320t. How long will it take the object the hit the ground after takeoff?
Answers
Answer:
20 seconds
Step-by-step explanation:
roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing
X and y are integers
Answers
y=3
x=1
1+3=4
(X+3)4>3(y)
Juan's living room floor is shaped as shown. He wants to buy a rug the covers at least half of the floor area. Answer yes or no to determine if each rug dimension covers at least half of the floor area.
12 feet x 6 feet
10 feet x 9 feet
13 feet x 12 feet
3 feet x 12 feet
8 feet x 8 feet
Answers
Answer:
Step-by-step explanation:
Find the area of the shape by creating two shapes. A large rectangle and a very small triangle. The area of the rectangle is 13x12, and the area of the triangle is (1/2)3x4. The area of both shapes together is 6+156=162.
Now you can easily calculate the area of each rug and determine whether it is over half of 162 (because 162 is the area of the entire floor), or under half of 162. If it is under 81, then it does not cover at least half of the floor.
12x6 = 72 no
10x9 =90 yes
13x12 = 156 yes
3x12 = 36 no
8x8 = 64 no
3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4
Answers
Answer:
=28
Step-by-step explanation:
3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4
3 (20-4) -4 ( 12 - 7)
60 - 12 -48 +28
= 28
3 ( 5p - p ) - 4 ( 3p - 7 ) =
3 ( 4p ) - 12p + 28 =
12p - 12p + 28 =
0 + 28 = 28
Thus the value of p is not importent at all and the answer is always 28 .
Write the number shown in standard notation.
5.29 x 10
A. 52,900
B. 5,290,000
C. 5,290
D. 529,000
Answers
Answer:
It's A
Step-by-step explanation:
5,29×10=52,9
you move coma one place to the right when times 10
Answer:
52.9.
Step-by-step explanation:
[tex]5.29*10=52.9[/tex]
Whenever a number is multiplied by 10, move the decimal one place to the right.
Whenever a number is multiplied by 100, move the decimal two places to the right.
Whenever a number is multiplied by 1000, move the decimal three places to the right.
I'm sure you understand now.
Therefore, the product is 52.9.
However, I do not see an answer choice for this. Perhaps you made a mistake?
Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?
-8, 2), 2
(2, -8), 2
(8, -2), 2
(-2, 8), 2
Answers
Find the perimeter of the figure below.
Answers
Answer:
47 yd
Step-by-step explanation:
just add all the values of the sides up to find perimeter
[tex]11 + 6 + 10 + 4 + 16 = 47[/tex]
You have to add each number to find the perimeter
NEED HELP! What is the value of x?
Answers
Step-by-step explanation:
from the triangle
let angle close to 130⁰ be y
130⁰+y⁰=180⁰(sum of angles on a straight line)
y⁰= 180⁰-130⁰
y = 50⁰
70 + y + x = 180⁰(sum of angles in a triangle)
70 + 50 + x= 180⁰
x= 180⁰-120⁰
x=60⁰
The U.S. Department of Agriculture records data on farm acreage and number of farms by county for every county in the country. This takes considerable time and energy, and the results for each update (usually occurring approximately every five years) are a long time in process. A quicker way to update the data is by sampling. The table below shows the number of counties in each geographic region and a summary of farm acres (in thousands) for independent random samples of 22 counties from each region.
Region Number of counties
North Central 1052
North East 210
South 1376
West 418
Required:
a. Estimate the mean acreage for each region, with a margin of error.
b. Estimate the total acreage for each region, with a margin of error.
c. Estimate the difference between mean acreage for the North Central region and the South, with a margin of error.
d. Estimate the difference between mean acreage for the North East and the West, with a margin of error.
e. Estimate the mean acreage per county across the United States, with a margin of error.
Answers
Solution :
From the table,
Number of countries = [tex]$N_i$[/tex]
Mean = [tex]$\overline Y_i$[/tex]
Standard deviation = [tex]$\sigma_i$[/tex]
Margin of error of B = 50,000 acres
So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].
Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex] is given by :
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
Let us complete the numerator
[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]
[tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]
= 453329920
The bound on the error of estimation is B = 50,000 acres
Hence we get
[tex]$D=\frac{B^2}{H}$[/tex]
[tex]$=\frac{50000^2}{4}$[/tex]
= 625,000,000
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
[tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]
= 220.24044
≈ 221 (approximately)
Therefore, the sample size under the proportional allocation from each stratum are given by :
[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1052}{3056}\right]$[/tex]
≈ 76
[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{210}{3056}\right]$[/tex]
≈ 15
[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1376}{3056}\right]$[/tex]
≈ 100
[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{418}{3056}\right]$[/tex]
≈ 30
Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.
We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.
56 Ib 9 oz equals to how many ounces?
Answers
Answer:
905 ounces
Step-by-step explanation:
1lb = 16 ounces
(56 x 16)+9 = 905 ounces
what is 61 divided by 7412
Answers
Answer:
0.00822989746
Step-by-step explanation:
Answer:
0.008
Hope this helps!
A cuánto equivale 2/3 de 21
Answers
Answer:
2/3 of 21 is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
2/3*21=42/3=14
The ratio of red chairs to blue chairs in the cafeteria is 3:5. If there are a total of 144 chairs in the cafeteria, how many are red?
Answers
Answer:
54.
Step-by-step explanation:
The fraction that are red = 3/(3+5) = 3/8.
So number of red chairs = 3 * 144/8
= 54.
Can someone help me I will mark u brilliant
Answers
Answer:
$42.09
Step-by-step explanation:
Total cost = 3.45*12.2 = $42.09
Answer:
Hello! answer: $42.09
Step-by-step explanation:
All I did was multiply the numbers together! so...
12.2 × 3.45 = 42.09 so Jenny spends 42.09 on gas HOPE THAT HELPS!
Seventy of Jo’s students are traveling by bus to the aquarium. They rented 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a van. The equation 2b+6=70 represents the given scenario. What does B represent?
A. The number of students who rode on each bus
B. The number of buses
C. The total number of students going to The football game
D. The number of vans
Answers
Answer:
A
Step-by-step explanation: