Answers
Sample Answer:
Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.
Step-by-step explanation:
For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.
The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.
Now, with the formulas for volume of the prisms:
Rectangular: L * W * H
Triangle: (L*W * H) / 2
Then just plug in the numbers:
Rectangular Prism:
L * H * H
6 * 5 * 1
30 * 1
30
Triangle Prism:
(12 * 5 * 1) / 2
60 / 2
30
They are equal to each other.
Related Questions
Find the value of x.
Answers
Answer:
(B) 18
Step-by-step explanation:
The shape is fliped but when put to the point where the shapes look the same QP is congruent to DE. Shape DEFG is 2 times bigger than shape PQRS. So all the line measures on PQRS are 2 times smaller than those on DEFG. Meaning x or QP is equal to 18 since 36 divided by 2 is 18.
Hope this helped :)
formula of circumference of a circle
Answers
Answer:
C=2πr
Step-by-step explanation:
This is the formula for the circumference of a circle
If this helps please mark as brainliest
NEED HELP ASAP, WILL GIVE BRAINLIEST
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x + 2x-15. If there is more than one x-intercept, separate them with commas,
Answers
Step-by-step explanation:
y = x^2 + 2x - 15
To find the x-intercepts, factor out the right side:
y = x^2 + 2x - 15
= (x + 5)(x - 3)
This means that the x-intercepts are at (-5, 0) and (3, 0).
Method 1:
The x-coordinate of the vertex of a parabola is given by the following:
x = -b/2a, where a = 1 and b = 2
= -(2/(2×1))
= -1
Using this value of x gives y = -16
Therefore, the coordinates of the vertex is (-1, -16).
Method 2:
We can find the x-coordinate of the vertex by taking the derivative of y and equating it to zero:
y' = 2x + 2 = 0 ---> x = -1
Using this value of x into our equation, we get y = -16.
Therefore,
vertex: (-1, -16)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the values with the statistical measures for these data points.
34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41
46.5
62
34
59
48
60
32
38
upper quartile
arrowRight
maximum
arrowRight
minimum
arrowRight
lower quartile
arrowRight
median
arrowRight
Answers
Answer:
lower quartile - 38
upper quartile - 59
maximum - 62
median - 46.5
minimum - 32
I hope this help. Have a great day!
Classify this triangle by its sides.
Answers
Answer:
A. isosceles but not equilateral
Step-by-step explanation:
as we can see with the congruency markings, two sides are equal whereas one is different. this is the definition of isosceles
Answer:
it is an isosceles triangle
Step-by-step explanation:
the triangle has two equal sides thus it is an isosceles triangle
drag each expression to show whether it is equivalent to 3 time times 9 or to 2x3x9
Answers
Distance = Speed & Time
If I increase speed, but hold time constant what happens to
distance? What is this relationship called?
Answers
Riley has 24 more stickers than Maria.
Create an expression to show the number of stickers Riley has in terms of n by moving terms and symbols to the lines.
Then move a phrase to complete the sentence to define the variable n.
Answers
Answer:
n+24=x
Step-by-step explanation:
Answer: the 8
Step-by-step explanation:
What is the volume. Round to the nearest hundredth if necessary.
Answers
Answer:
[tex]\pi\cdot25\cdot\frac{12}{3} = 314.1592654[/tex]
If 5 people have 8 1/2 pounds of cherries equally, how many pounds of cherries does each person get?
Answers
Answer : 1.7 pounds
Step-by-step explanation:
8 1/2 / 5 = 1.7
The approximate number of diameters it takes to wrap around a circle
A) 5
B) 3
C)8
D) 1
E) 10
Need help quick will name anyone braineist
And pls pls pls show work with ur answer! Thank you!
Answers
Answer: three
Step-by-step explanation: I don’t know the steps, but we took a test and I got this one wrong and we had to do test corrections and the answer is three!!
A line is reflected. Which of these could be the result?
O A.
B.
O c.
/
OD.
Answers
Answer:
C
Step-by-step explanation:
I believe the answer would be C because its the only actual line on a graph.
A Is a line segment
D is a ray
(I'm not sure what the exact name for the one on graph B is.)
Answer:
the answer ic C!
Step-by-step explanation:
AP EX
ASAP
- How did you get the answer
- Will mark brianlist
- 15 points
- Thank u
Answers
Answer:
C this is because your asking people at random. this makes it so the numbers wont be so one sided because if you use any of the other option it favors one team over another
Step-by-step explanation:
Harrison can fit 35 baseballs into a bucket. How many buckets will be needed to hold all of the 390 baseballs?
Answers
Answer:
11
Step-by-step explanation:
Max is taking 38 children for rides in
his boat. He can only take 5 children
at a time. How many rides will it take
for all of the children to have one turn?
Answers
Answer: 8 turns
Step-by-step explanation: 5 children at a time, so 5*8=40, which is the closest to 38
A ball is thrown from a height of 49 meters with an initial downward velocity of 2 m/s. The ball's height h (in meters) after t seconds is given by the following.
[tex]h=49-2t-5t^2[/tex]
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answers
A ball is thrown from an initial height of 6 feet with an initial upward velocity of 40ft/s . The ball's height h(in feet) after t seconds is given by the following. h=6+40t-16t^2 Find all values of t for which the ball's height is 28feet. Round your answer(s) to the nearest hundredth.
Please help. COS (C)=
Answers
Answer:
7/25
Step-by-step explanation:
Answer:
hi nice to meet you
Step-by-step explanation:
7/25 that's all
6x + 12 = -6 (x + 4)
Answers
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]6x + 12 = - 6(x + 4) \\ 6x + 12 = - 6x - 24 \\ 6x + 6x = - 24 - 12 \\ 12x = - 36 \\ x = \frac{ - 36}{12} \\ x = - 3[/tex]
⎆ The value of x = - 3
# ꧁❣ RainbowSalt2²2² ࿐
Answer:
0 = 12
Step-by-step explanation:
This is the answer
I am about 50-50% positive UMU
Help please and thank you
Answers
Solve for q.
3/5 = q/10
q=?
Answers
Then you swap sides of the equation, you get 5q=30
Then you divide both sides of the equation by 5
Your answer is q=6
Javier made 180 cupcakes. Each cupcake is covered with frosting. • 1/3 of the cupcakes have vanilla frosting. • 1/10 of the cupcakes have lemon frosting. • 2/5 of the cupcakes have chocolate frosting. • the rest have strawberry frosting. How many cupcakes have strawberry frosting
Answers
Answer:
30 strawberry cupcakes
Step-by-step explanation:
180 cupcakes in total
1/3 of 180 - 60 = vanilla
1/10 of 180- 18 = lemon
2/5 of 180 - 72 = chocolate
rest of 180 - 180-(72+18+60) = strawberry
rest of 180 - 180-150 = 30 = strawberry
Add all of them:
60 vanilla
18 lemon
72 chocolate
30 strawberry
---------------------------
180 cupcakes
Hope this helps!
can someone PLEASE help? only if you know how!
answer has to be in simplest radical form
Answers
Answer:
8
Step-by-step explanation:
The 30-60-90 triangle rule states that the hypotenuse is equal to the short leg times 2. So 4 x 2 = 8.
A book sold 42,000 copies in its first month of release. Suppose this represents 9.6 of the number of copies sold to date. How many copies have been sold to date?
Answers
Answer: 437,500 copies
Step-by-step explanation:
42,000 copies were sold in the first month and this is 9.6% of the total that have been sold till date:
To find the total that have been sold till date, assume the amount to be x.
Expression will be:
9.6%x = 42,000
x = 42,000 / 9.6%
x = 42,000 / 0.096
x = 437,500 copies
437,500 copies have been sold to date.
10 POINTS ONLY ANWSER IF YOU KNOW!!!
a.Function 1
b.Funtion 2
c.The functions have the same slope
Answers
Answer:
Function 1 has a greater slope
Step-by-step explanation:
Answer:
function 1 has a great slope
Right triangle ABC has side lengths AB = 4x+28, BC = 2x+13, AC = 3x-15. Assuming C is the right angle, for which value of x is tan(B) undefined?
Answers
Answer:
D
Step-by-step explanation:
Because the other just make no sense
When Avani goes bowling, her scores are normally distributed with a mean of 145 and a standard deviation of 12. Using the empirical rule, determine the interval that would represent the middle 68% of the scores of all the games that Avani bowls.
Answers
Answer:(133,157)
Step-by-step explanation:
Using the empirical rule, the interval that would represent the middle 68% of the scores of all the games that Avani bowls is (133, 157).
What is Empirical Rule?Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.
Here, the scores of Avani is normally distributed.
Mean, μ = 145
Standard Deviation, σ = 12
By the Empirical rule, about 68% of the data falls within one standard deviation.
That is, in the interval μ ± σ.
Interval is (μ - σ, μ + σ) = (145-12, 145+12) = (133, 157)
Hence the interval is (133, 157).
Learn more about Empirical Rule here :
https://brainly.com/question/30700783
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Do any of you know any written answers to the Probability Unit Test for 7th grade? I need a little help!
Answers
All tests across the world are different even if they're the same subject and stuff. I think it's easier for you to study, so if you have any questions about them please post them on Brainly!
mary bought five pairs of socks that cost $8 each. if the tax rate was 8% how much did mary pay in total?
(please help!!)
Answers
Answer:
The Answer would be $40.64
Step-by-step explanation:
To find a percentage of a certain number, you must multiply that number by the percentage in decimal form. Since the socks cost 8 dollars each 8 x 0.08 = 0.64 Meaning the tax cost is 64 cents. 8 x 5 = 40 Giving us $40.64
Can someone help me out my grads are bad
Answers
Answer:
9
Step-by-step explanation:
39 x 39 = 1521
1521 divided by 169
= 9 good luck bro
Babatunde draws a drinking glass on graph paper using the scale shown below. The glass has a length of 888 units in the drawing.
A drinking glass on graph paper. An 8-unit long line is labeled, "height." A 2-unit long scale is labeled, "2.5 centimeters."
Answers
Answer:
Hum ty
Step-by-step explanation:
It’s 65