The diagram shows a trapezoid prism.
The area of the cross-section is 55cm.
The volume of the prism is 330cm
Find the length of the prism.
Answers
Given:
The area of the cross-section is 55cm².
The volume of the prism is 330cm³.
To find:
The length of the prism.
Solution:
We have,
Area of the cross-section = Area of base = 55 cm²
Volume of the prism = 330cm³.
Let x be the length(height) of the prism.
We know that,
[tex]\text{Volume of prism}=\text{Base area}\times height[/tex]
[tex]330=55\times x[/tex]
[tex]\dfrac{330}{55}=x[/tex]
[tex]6=x[/tex]
Therefore, the length of the prism is 6 cm.
Related Questions
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answers
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.
Answers
Answer:
[tex]A=2x^2+18x+36[/tex]
Step-by-step explanation:
Quadratic Function
It's given the length of a rectangular park is twice its width.
Let's call:
x = width of the rectangular park
2x = length of the rectangular park
The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:
x+3+3=x+6 width of the park and the path
2x+3+3=2x+6 length of the park and the path
The total area is:
A=(x+6)(2x+6)
Operating:
[tex]A=2x^2+6x+12x+36[/tex]
[tex]\boxed{A=2x^2+18x+36}[/tex]
the students have 12 bags of balloon with 24 balloons in each bag they have filled 139 with air. if they use all the bags how many still need to be filled with air
A.67
B.149
C.288
D.365
Answers
Answer:
149
Step-by-step explanation:
12× 24 = 288
228 - 139 = 149
Answer:
B. 149
Step-by-step explanation:
If the students have already filled 139 balloons with air and are going to use all the bags. They would need to fill 149 more balloons.
The first step would be to find the total number of ballons by calculating 12x24 which will give you 288.
From here you would need to subtract the number of ballons that are already filled with air from the balloons that remain which would be 288-139. This would give you a total of 149 balloons that still need to be inflated.
Calculate the pay for the following day of a
weekly time card given a wage of $13/hr.
Name
Week of:
Morning
In Out
Monday 08:00 12:00
Afternoon
In Out
12:45
17.30
pay = $[?]
Round your answer to the nearest hundredth.
Please help if you can.
Answers
Answer:
dfsfsffsfsdfsfsfsfsfsfsefsfsdfsff
Step-by-step explanation:sfsfsfsf
fsfsfdfdsfsdfsfsf
Car Survey In a survey of 1,300 people who owned a certain type of car, 910 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car.
Answers
Answer: let
Total number of those who took part in the survey (T) = 1300
Those were satisfied with the car(t)=910
Percentage of those who are satisfied (S)= (t/T)*100
S=(910/1300)*100
S=70%
Therefore 70% were satisfied
Step-by-step explanation:
40 is a rational number.
Answers
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
40 is a rational number
Step-by-step explanation:
It can be expressed as a quotient of two factors
40/1
The given equation has no solution when C is equal to what number?
2x+C(8+x)=16
Answers
Answer:
[tex]-2[/tex]
Step-by-step explanation:
When [tex]C=-2[/tex], the variable [tex]x[/tex] will be removed from the equation ([tex]2x-2x=0[/tex]). Therefore, we are left with [tex]-16\neq 16[/tex]. Thus, when [tex]C=-2[/tex], the given equation has no solutions.
Directions: Solve for x, then find each angle measure.
Answers
Find the value of x.
Answers
Step-by-step explanation:
(3x+24)°=(8x-11)°
24+11=8x-3x
35=5x
x=7
What is the simplified form of the following expression?
5 V8 - V18 -2 V2
Answers
Answer:
B) 5V2
Step-by-step explanation:
5√2 is the simplified form of the 5 √8 - √18 -2√2. Therefore, the correct option is option B.
What is mathematical expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. In order to help determine the sequence of operations and other features of logical syntax, mathematical symbols can be used to represent numbers, variables, operations, function, brackets, punctuation, or grouping.
Expressions are syntactic devices. It must be properly constituted, which means that the permissible operators have to include the right amount of inputs in the right places, legal characters for these inputs, a clearly defined sequence of operations, etc.
5 √8 - √18 -2√2
10√2-3√2 -2√2
√2(10-3-2)
5√2
Therefore, the correct option is option B.
To know more about mathematical expression, here:
https://brainly.com/question/29176690
#SPJ7
Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.
Answers
Answer:
4
Step-by-step explanation:
Jimmy is eating appetizers that
have 120 calories each. He only
plans to eat 550 calories overall.
Write an inequality and determine
the most appetizers he can eat
without exceeding the limit.
He can eat 4.
Which expression uses the greatest common factor and the distributive property to rewrite the sum 64 + 32? 16(4+2) 8(8+4) 32(2)+1 32(2+1)
Answers
Step-by-step explanation:
Since 64 = 32 * 2 and 32 = 32 * 1,
64 + 32 = 32(2 + 1).
16(4 + 2) is wrong as 4 and 2 have a GCF of 2.
8(8 + 4) is wrong as 8 and 4 have a GCF of 4.
32(2) + 1 is the wrong application of the distributive property.
Answer:
64+32=32(2+1) is greatest common factor
The two angles are
Congruent
Supplementary
Complementary
Because they are
Corresponding
Consecutive interior
Alternate exterior
Alternate interior
Help, I will brainliest u
Answers
Answer:
The two angles are alternate interior angles
Step-by-step explanation:
Here, we want to state the relationship between the two given angles
From the diagram, we can observe that these two angles are;
They are alternate interior angles
let f(x)=2x and g(x)=2x
Graph functions on the same coordinate plane.
What solutions to the equations f(x)=g(x)?
Answers
Answer:
Rewrite (Lambert form):
[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]
Simplify :
[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]
Solve:
[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]
Result:
[tex]x=2,\:x=1[/tex]
Hope this helped u :)
If this was too complicated I can edit it for you.
Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?
A. $15.00
B. $23.25
C. $55.00
D. $123.75
Answers
Answer:
She was paid $55.
Step-by-step explanation:
15%=0.15
8.25/0.15=55
PWEASE HELP MWEEEEE UwU
Answers
Answer: the second
one
Step-by-step explanation:
please help me im very confused
Answers
Answer:
56 units long
Step-by-step explanation:
the whole line is 73 units long, and CB is 17 units long. You would subtract 17 from 73 and then you have the missing value which is 56. (or in other words 17 plus what equals 73).
Answer the question............
Answers
Hey there!
The answer to your first question is 4.5 inches by 6 inches.
We can solve this by doing 3 x 1.5 and 4 x 1.5, which equals 4.5 and 6.
The answer to the second part is 27 inches²
The formula for area is length times width, so you can do 4.5 x 6
The answer to the third part is Ralph is incorrect because he probably found the area of the original dimensions, and then multiplied it by 1.5. You have to find the actual dimensions first, and then find the area.
Hope this helps. Good luck, have a great day, and let me know if there's more.
I need help ASAP. I am terrible at math
Answers
Answer:
1.y=2/3x +9
2.y=-7x+(-3)
Step-by-step explanation:
Can some one help me pleas?
Answers
Answer:
65t - 156
Step-by-step explanation:
use a calculator
Answer:
65t - 156
0.416....
Step-by-step explanation:
first you multiply the 13 out to all the numbers inside the parenthesis
then you divide by 65 to get the answer 0.416 but it will be D.
Does this table represent a proportional relationship?
A) Yes
B) No
Answers
Answer:
a
Step-by-step explanation:
it is all doubles
Please help I have 5 mins left :(
Answers
Answer:
2/10
Step-by-step explanation:
If you are trying to find out the probability of a number just know that the whole number is always going to be the denominator. In this problem, the denominator is 10 because that is the whole number of pieces of paper.
Then we look at the second part of the problem where it is asking us to figure out the probability of pulling out a number that is less than 3 which would only leave us with 1-2
This means that the probabilaty of pulling out a number less than 3 is 2/10
Answer:
2/10
Step-by-step explanation:
This has to deal with probability.
If you are going to choose a number less than 3, this makes the problem in which that 2/10 of the results would occur.
This is simply because the value of 1 and 2 are the only numbers smaller than 3.
Help asap ...................
Answers
Answer:
One: Median = 2
Two: Mean = 3.25
Step-by-step explanation:
One
Put the dots in order
1 1 1 2 2 3 3
There are seven groups altogether.
The middle one is a 2.
The median is 2.
Two
The mean is the average.
The average of the 4 groups is
1 3 6 3 = 13
The average is the sum of the dots.
13/4 = 3.25
Please help :( I will mark brainliest.
Answers
Answer:
The value of x is 29.
Step-by-step explanation:
→ The angles arent congruent, they are supplementary.
→ Supplementary angles equals 180 degrees.
→ The equation looks look:
[tex]2x - 10 + 4x + 16 = 180[/tex]
→ Let's solve the equation.
[tex]2x - 10 + 4x + 16 = 180 \\ 6x + 6 = 180 \\ \frac{ \: \: \: \: \: - 6 = - 6}{ \frac{6x}{6} = \frac{174}{6} } \\ x = 29[/tex]
→ Therefore, the value of x is 29.
please help me on this will give you brainliest
Answers
Answer:
876
Step-by-step explanation:
since i helped can i have brainlist please :D
If you layered 100000 cubes to make one big cube what would the dimensions of the big cube
Answers
Answer:
The dimensions of the cube would be:
Base: 46,42 units approx.Height: 46,42 units approx.Width: 46,42 units approx.Step-by-step explanation:
For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):
[tex]\sqrt[3]{100.000} = 46,41588834[/tex]How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:
Volume of the cube= base * height * width Volume of the cube= 46,41588834 * 46,41588834 * 46,41588834 Volume of the cube= 100.000In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.
not going to give away how much points im giving because le point theifs might come but please assist me.
((B.TW the horizantal line is always labeled offense
Answers
Answer:
Its the First One
Step-by-step explanation:
For every 2 offense cards, he owns 4 defense cards. The first graph is correct.
Brainliest are appreciated :)
3/4x + 3 = 3/8
X = what
Answers
Answer:
x = - 7/2
Step-by-step explanation:
3/4x + 3 = 3/8
3/4x = 3/8 - 3
3/4x = - 21/8
x = -7/2
I need help with this question
Answers
Answer: yes, the transformation is a dilation.
Find the difference (6d+5)−(2−3d)
Answers
Answer:
9d +3
Step-by-step explanation:
plz brainliestt
Answer:
9d+3
Step-by-step explanation:
(6d+5)-(2-3d)
First, I like to put a 1 in front of the second grouping of numbers to help me with the distributing:
(6d+5)-1(2-3d)
Distribute the -1:
(6d+5)-2+3d
Remove parenthesis and combine like-terms:
9d+3