Answers
Answer:
1. Surface Area = 122 Volume = 84
2. Surface Area = 1632 Volume = 2880
3. Surface area = 168 Volume = 144
4. Volume = 1350[tex]\pi[/tex]
Step-by-step explanation:
1. This is a rectangular prism. To find the surface area it is the same thing. Find the area of all sides and add them together. Because this is a rectangular prism most of the sides are equal so we will only need to find the area of three sides. To find the area of the right side, just do 4*3=12. That would be the same for the opposite side. Then to find the front side, do 7*4= 28. That would also be the same for the opposite side. Then to find the top side, do 7*3= 21. That is the same for the bottom side. Add them all together and you will get your answer. 28+28+21+21+12+12 = 122.
To find the volume of a rectangular prism the formula is V = l*w*h.
Plug in: V = 7*3*4 and then you will get 84.
2. This is a triangular prism. First find the area of the the triangular surface by multiplying the base x height and dividing by 2. (16*12)/2 = 96. That is the same for the opposite side. Then find the area of the bottom rectangular surface. 12*30 = 360. Then find the area of the back rectangular surface. 16*30 = 480. Then find the area of the final base rectangle. 30*20 = 600. Add them together and you will get 1632. Basically, find the area of all sides and then add them together.
To find volume the formula is, V = (1/2)a*c*h
Fill that in: V = (1/2)16*12*30 and then you will get 2880.
3. This is a trapezoidal prism. To find the surface area you would find the area of all sides then add them together. To find the are of a trapezoid, the formula is: A = [tex]\frac{a+b}{2}[/tex]h
Fill that in: A = [tex]\frac{4+12}{2}[/tex](6) and then you will get 48.
That is the same for the opposite side. Then you need to find the area of the rectangular side of the trapezoidal prism. 3*4= 12. This is also the same as the opposite side. The bottom side is 12*3= 36. The top side is 3*4= 12.
Add all of them together and you get 168.
1/2(4+12)*6
To find volume, V = [tex]\frac{1}{2}[/tex]h(b₁+b₂)h.
Fill in: V = [tex]\frac{1}{2}[/tex]6(12+4)3 and then you will get 144.
4. This is a cylinder. The formula to find the volume is A=[tex]\pi[/tex]r²h. Because you are leaving the answer in terms of pi, do not multiply pi into the equation.
So you would do r²h. 15² = 225. 225*6= 1350. So your answer would be 1350[tex]\pi[/tex].
Related Questions
pls help!!
What is the equation of a line that is parallel to the line 4x + y = 8 and has a y-intercept of 12?
A. x + 3y = 2
B. 4x + y = 12
C. 12x + y = 8
D. x - 4y = -48
Answers
Answer:
B. 4x+y=12
Step-by-step explanation:
You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.
I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa. PART 3
Answers
Answer:
1) AM, MY, AY
2) GY, GQ, QY
3) QM, QG, MG
4) YX, YG, XG
Step-by-step explanation:
In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.
Using this concept, we can answer the questions;
1) Largest side = AM
Smallest side = AY
Arranging from largest to smallest side;
AM, MY, AY
2) Largest side = GY
Shortest side = QY
Arranging from largest to smallest side;
GY, GQ, QY
3) Largest side = QM
Shortest side = MG
Arranging from largest to smallest side;
QM, QG, MG
4) Largest side = YX
Smallest side = XG
Arranging from largest to smallest side;
YX, YG, XG
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answers
Answer:
he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart
Step-by-step explanation:
sry if I'm wrong but it would be one of the most valid answers
Answer:
3/10
Step-by-step explanation:
#2, 7 and 8 are the valid 3 goal trials out of 10
Plz I need to know this
Answers
Answer:
triangular prism
Step-by-step explanation:
ye I need some help, please
Answers
Answer:
(1,0) (2,1) (4,4)
y<x+1 (for the dashed line)
y≥-2x+2 (for the solid line)
Step-by-step explanation:
سا
What are the coordinates of A' (A prime) after translating the figure 3 units right and 7 units down?
Answers
56,316 divided by 6 need step by step instructions
Answers
Answer:
9,386
Step-by-step explanation:
56,316 ÷ 6 = 9,386
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
In Winter of 2020 there were 20 total inches of snow. In Winter 2021 there were 38 total inches of snow. What was the percer
increase in inches of snow from 2020 to 2021?
Answers
To find the answer, you need to subtract the total inches of snow in 2021 by the total inches of snow in 2020.
So 38 -20= 18
Therefore, from 2020 to 2021. The snow increased by 18 inches.
Hope this helped!
Ms. DeVoto and Mr. Kim share a birthday, but Mr. Kim is 7 years older. If Ms. DeVoto is D years old, write an expression to show how old Mr. Kim is.
Answers
Answer:
D+7=K
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
If 2^2x = 2^3, what is the value of x?
Answers
Answer:
X = 2 If the exponent 2 in the 2 does not have the x
Step-by-step explanation:
Find the value of x.
Answers
explanation: x+(x-20)+(2x+10)+(x+40)=360
5x+30=360
5x=330
x=66
A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.
Answers
Answer:
300 cars must be made to minimize the unit cost
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
The cost of producing x cars is given by:
[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]
So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]
How many cars must be made to minimize the unit cost?
This is the xvalue of the vertex. So
[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]
300 cars must be made to minimize the unit cost
hellooo everyone !!! I'm an Indian !!!! Nice to meet y'all
Answers
Answer:
hi I am a Egyptian Saudi nice to meet you too
Step-by-step explanation:
Hey can someone please help me with this?
I can’t exactly figure it out.
Thank you in advance.
Answers
Answer:
three heads - 1/8
exactly two tails - 3/8
first two tosses are heads - 1/4
at least two tails - 1/2
Step-by-step explanation:
8 Possible outcomes
hhh, hht, hth, htt, ttt, tth, thh, tht,
three heads - 1/8
exactly two tails - 3/8
first two tosses are heads - 2/8=1/4
at least two tails - 4/8=1/2
12 6 12 24
Select one:
A. 240 square units
B. 252 square units
C. 180 square units
D. 216 square units
Answers
Answer:
B
Step-by-step explanation:
divide the given polygon into two (a square and a trapeziumarea of trapezium=1/2(a+b)×b 1/2(12+6)×12 ans 108square unitarea of a square=s×s 12×12 =144square unitadd 108+144=252square unitWill give brainliest for correct answer
Answers
Answer:
3
Step-by-step explanation:
Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:
Final equation (\angle∠ of depression = )
Answers
Answer:
Drip is the only answer
Step-by-step explanation:
5x^{2}-44x+120=-30+11x i am confuseddddd
Answers
Answer: x=6 x=5
Step-by-step explanation:
Answer:
take hints and don't be confused on such question
Find the product. Simplify.
(x + 7)(x + 4) =
Answers
Answer:
Hi! The answer to your question is [tex]x^{2}[/tex]+11x+28
Step-by-step explanation:Answer:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!
- Brooklynn Deka
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
Answers
the angle is obtuse
what is the gfc of 36 and 48 LIMMITED TIME HELP
Answers
Answer:
i do not know im rackin up these brainly points ya hear
Step-by-step explanation:
Answer:
12 is the answer
hope his helps
have a good day :)
Step-by-step explanation:
A researcher conducts an experiment using 10 loads of white shirts with similar stains. The loads are divided, and 5 of the loads are washed with name-brand detergent, while the other 5 are washed with store-brand detergent. Volunteers are asked to assess the cleanliness of the shirts.
What are the experimental units in this setting?
the types of detergent
the 10 loads of shirts
the volunteers who assess the stains
the machines used to wash the shirts
Answers
Answer:
the volunteers who assess the stains
Step-by-step explanation:
Hope this helps
Answer:
the types of detergent i think
Step-by-step explanation:
is 0.3 greater than 0.22
Answers
Answer:
Yes
Step-by-step explanation:
.3 is the same as .30, and 30 is greater then 22, therefore .3 is greater then .22
Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18
Answers
Answer:
j(x)=a(x+9)(x-2)
j(x)=1(x+9)(x-2) < final answer
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answers
Answer:
B
Step-by-step explanation:
That's the only answer that represent the 25% prize rate
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than
quarters. She has 3 more nickels than quarters. She has 4 more pennies than quarters. How
many quarters does Jasmine have? Note: A quarter is worth $0.25, a dime is worth $0.10, a
nickel is worth $0.05, and a penny is worth $0.01.
Answers
Answer:
11
Step-by-step explanation:
F(x)=x^2. what is g(x)? point given is (4,1)
a. g(x)=(1/4x)^2
b. g(x)=4x^2
c. g(x)=1/4x^2
d. g(x)=(1/2x)^2
Answers
Answer:
It is (a)
[tex]g(x) = ( { \frac{1}{4} x})^{2} [/tex]
Step-by-step explanation:
I hope that is useful for you :)
None of the given options are correct.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.
We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.
One possible equation for g(x) that meets this condition is:
g(x) = a(x - 4)² + 1
where a is some constant that we need to determine.
Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:
g(4) = a(4 - 4)² + 1 = 1
Simplifying this equation, we get:
a = 0
Therefore, the equation for g(x) is:
g(x) = 1
So the correct answer is (none of the above), because none of the given choices matches this result.
Learn more about function here:
https://brainly.com/question/29633660
#SPJ7
15 + 20
Create an equivalent expression in factored form
_____ (______ + ______)
Answers
Answer:
5(3+4) is your answer ☺️☺️☺️
15 + 20 = 35
so ( x = 15) + ( z +=20) = 35
x + z = 35 mark me the brainliest
Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point)
A. 3 square units
B. 6 square units
C. 7 square units
D. 8 square units
Answers
I am sure thet its correct
Answer:
B
Step-by-step explanation:
1/2×bh1/2×3×46square unitI am completely lost someone help!:)
Answers
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Given
The above triangles
Required
Find x
The two triangles are similar. So we make use of the following equivalent ratios, to solve for x
[tex]XZ : ZY = JL : LK[/tex]
Replace each side with their measurements
[tex]13 : 10 = x : 20[/tex]
Express as fraction
[tex]\frac{13}{10} = \frac{x}{20}[/tex]
Solve for x
[tex]x = \frac{13}{10} * 20[/tex]
[tex]x = 1.3 * 20[/tex]
[tex]x = 26[/tex]
