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
Answer in the attachment :)
Answers
I think it's c hope it's right
There were 650 fruit in a fruit stall. 62% of the fruit were sold. How many fruit were left?
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Answer:
62/100 multiplied by 650 which is 403 fruits left
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answers
Answer:
0-2/5
I think this is it ;-;
Uhh help?? I’m highly confused I just want answers
Answers
Answer:
1) x = 5√3, y = 5
2) x = 16, y = 8
3) x = 10, y = 5
4) m = 9√15/10, n = 9√5/10
5) x = 3√3/2, y = 3/2
6) x = 6√5, y = 3√5
7) x = 5, y = 5
8) x = 5√2, y = 5
9) a = 2, b = √2
10) m = 10√6/3, n = 5√6/3
Explanation:
For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.
For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.
For 45° - 45° - 90° triangles (Isosceles Right),
Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.
This is all computed as a result of the trigonometric functions:
SOH CAH TOA.
This is a shortcut for these specific triangles.
If you do not have the side marked as x, just do the inverse operation to get it.
90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)
Two numbers total 51 and have a difference of 23. Find the two numbers?
Answers
Answer:
14 and 37
I just kept checking all the pairs I could think of until I got to this answer.
The figure below shows the dimensions of an arrow painted on the pavement of a parking lot. The entire length of the arrow is 6.5 feet (ft.). What is the area of the arrow?
Answers
Answer:
62.5 I think
Step-by-step explanation:
A painter took 15 hours to paint 12 rooms in a building. Choose all true statements about the painter's rate of speed
Answers
Answer: It’s B E and D
Step-by-step explanation:
Data and
ts
Which data set could be represented by the box plot shown below?
Ots
ng box
+
box plot
25
28
31
34
37
40
ole: Creating
number of
Choose 1 answer:
Sle: Creating
n number
25, 28, 28, 29, 30, 34, 35, 37, 37, 38
25, 28, 29, 29, 30, 34, 35, 35, 37, 38
ting box
25, 28, 29, 29, 32, 34, 35, 36, 37, 38
ox plots
25, 28, 29, 29, 30, 34, 35, 35, 37, 40
preting
Answers
Answer: is D on khan academy
Mrs Lee is setting up chairs for a band concert. The front row will have ten chairs. Thereafter each row will have four more chairs than the front row in front of it. Mrs Lee knows that there will be five rows. How many chairs will she need?
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Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility
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“Subjectivity” is the answer i believe .
Answer: D
Step-by-step explanation:
Fits the definition
3. State if each statement is correct. If it is not correct, then fix the mistake.
For three problems explanation and work needed
SOON ASP!!!! please.
Answers
Answer:
All are incorrect
Step-by-step explanation:
Required
Determine which is correct or not
[tex](a)\ 2x * 2x = 4x[/tex]
This is incorrect because:
[tex]2x * 2x = 2 * 2 * x*x[/tex]
[tex]2x * 2x = 4x^2[/tex] ---- fixed
[tex](b)\ 3x^3 * 3x^3 = 9x^9[/tex]
This is incorrect because:
[tex]3x^3 * 3x^3 = 3 * 3 * x^3 * x^3[/tex]
[tex]3x^3 * 3x^3 = 9x^(3+3)[/tex]
[tex]3x^3 * 3x^3 = 9x^6[/tex] ---- fixed
[tex](c)\ 4x(4x + 5) =8x + 5[/tex]
This is incorrect because:
[tex]4x(4x + 5) =4x * 4x + 4x * 5[/tex]
[tex]4x(4x + 5) =16x^2 + 20x[/tex] ---- fixed
GIVING 30 POINTS!!!!!!!
Answers
Answer:
MEAN
Step-by-step explanation:
Have a Great Day!
Answer:
Not quite sure, but I think its the mean?
what is the range of magazines sold?
please answer will give brainliest
Answers
Answer:
range: 8
Step-by-step explanation:
In order to find the range you need the minimum and maximum
minimum: 17
maximum: 25
Subtract
25-17=8
I need this assignment done will give brainliest and extra points.
Answers
Answer:
1a.2.5x³-2.25x²+3.5x-1.5
1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)
2a.-2x⁶+7x⁴+3x³-3x²+11x+20
2b.Yes. When multiplying, it doesn't matter which term/expression you put first
3. The equation has two solutions: x=-2, x=3
Step-by-step explanation:
1. (a)
(0.5x-0.25)(5x²-2x+6)
0.5x(5x²-2x+6)-0.25(5x²-2x+6)
2.5x³-x²+3x -1.25x²+0.5x-1.5
2.5x³-2.25x²+3.5x-1.5
(b)
(0.25x-0.5)(5x²-2x+6)
0.25x(5x²-2x+6)-0.5(5x²-2x+6)
1.25x³-0.5x²+1.5x -2.5x²+x-3
1.25x³-3x²+2.5x-3
This is not equal to our answer for 1(a), so we can see they're not the same.
2(a)
(-2x³+x-5)(x³-3x-4)
-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)
-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20
-2x⁶+7x⁴+3x³-3x²+11x+20
(b)
Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.
3
2x²-2x-12=0
(divide each term by 2)
x²-x-6=0
(x+2)(x-3)=0
Anything multiplies by zero is zero, so either x+2=0 or x-3=0
If x+2=0, x=-2. If x-3=0, x=3.
The equation has two solutions: x=-2, x=3
A Jar contains 125 marbles. Given 3% of the marbles are green, 9% of the marbles are blue, and the rest are red, how many red marbles are in the jar? There are red marbles in the jar?
Answers
Answer:
111 red balls
Step-by-step explanation:
125×0.03= 3.75 3balls
125×0.09=11.25 11balls
125-3-11=111
111 is red
What is the lateral area of the pyramid
Answers
Answer:
43.75 ft²
Step-by-step explanation:
[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.
[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)
Step 2: Divide 3.5 by 2 to get 1.75.
[tex]s_l[/tex] = 2(3.5√1.75² + 6²)
Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.
[tex]s_l[/tex] = 2(3.5√3.0625 + 36)
Step 4: Add 3.0625 and 36 to get 39.0625.
[tex]s_l[/tex] = 2(3.5√39.0625)
Step 5: The square root of 39.0625 is 6.25.
[tex]s_l[/tex] = 2(3.5 * 6.25)
Step 6: Multiply 3.5 by 6.25 to get 21.875.
[tex]s_l[/tex] = 2(21.875)
Step 7: Multiply 2 by 21.875 to get 43.75.
[tex]s_l[/tex] = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
Eli is feeling gift bags each bag will have three baseball cards which number sentence could either used to find how many bags he can fill if he has 21 cars
Answers
Answer:
7
Step-by-step explanation:
if he has to be 3 in each baseball card and has 21 cards then you would divide 21 by 3 and get 7 which is your answer.
i need help please i did not understand
Answers
Answer:
Step-by-step explanation:
Add up all the values for the height and divide by 9. do the same for the leaf scars.
Find Value of x. The diagram is not to scale.
Answers
Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
i only need the awnser for questions 4 and 2 because i dont get them
Answers
Answer:
2) 20 students
4) 28 students
Question 2 is 25% - but it's asking how many. If you know the total number of students multiply that times .25 and that number is your answer. So .25 x 80 = 20
Question 4 is 35% also multiplied times the total number of students. So it would be the total number of students multiplied times .35.
So .35 x 80 = 28
Both of these questions want the number of students, not the percent.
Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?
1.Each sandwich has one half pound of ham.
2. Each sandwich has 1 pound of ham.
3. Each sandwich has 2 pounds of ham.
4. Kevin has one half pound of ham left over.
Answers
statement 1 b/c 6/12 = 1/2
-8 * f(0) + 4 * g(-8)
Answers
The value of the expression -8 * f(0) + 4 * g(-8) is -60
Complete questionIf the following equations represent the functions f(x) and g(x).
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate the value of -8 * f(0) + 4 * g(-8)
How to determine the value of the expression?We have:
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate f(0) and g(-8)
f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15
Evaluate
f(0) = 7 and g(-8) = -1
Substitute the above values in the following expression
-8 * f(0) + 4 * g(-8)
So, we have:
-8 * 7 + 4 * -1
Evaluate
-60
Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60
Read more about functions at:
https://brainly.com/question/15602982
#SPJ1
Answer:
-32
Step-by-step explanation:
khan academy said so
Is this relationship proportional or non proportional
Answers
Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU
Answers
If a quadrilateral has these known angle degrees: 35, 35 and 145, what are the degrees of the fourth angle?
Answers
Answer:
145
Step-by-step explanation:
The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.
Can someone help me pls I’m stuck
Answers
Answer:
Given quadrilateral can't be inscribed in a circle.
Step-by-step explanation:
Property of a cyclic quadrilateral,
Sum of opposite angles of a cyclic quadrilateral is 180°
If the given quadrilateral fulfills this property, it can be inscribed in a circle.
From the given quadrilateral,
Sum of opposite angles = 168° + 22°
= 190°
Therefore, answer is NO.
Given quadrilateral can't be inscribed in a circle.
3) A basketball player averaged 17.3 points per game during his collegiate career. He played in 148
games total. How many points did he score while in college? Round to the nearest whole
number.
a. 2000
b. 2500
c. 2560
d. 2560.4
THIS IS FOR A TEST
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A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?
Answers
what is 26 x4 hurry ii need it nowwwww
Answers
6 x 4 = 24
20 x 4 = 80
80 + 24 = 104.
BOOM MAGIC
the answer is 104 hope it helps
write a mathematical equation and calculate the area of the irregular polygon