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 solution of the system of equations.
-2x-6y=8
-6x-6y=0
Answers
y=7
First solve for x in -2x-6y=8, and you will get -7. Then plug -7 into x for -6x-6y=0 and you will get 7.
find the sine of < I
Answers
Answer:
Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem
[tex]5^2+\sqrt{21}^2 = c^2[/tex]
25+21=c^2
46=c^2
c=sqrt46
c=6.78
sin(opposite/hypotnuse)
sin(sqrt21/ sqrt46) =.0117
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012
Republican
159
170
525
Democratic
299
3675
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answers
Answer:
(a) is true
Step-by-step explanation:
Given
See attachment for box plots
Required
Which of the options is true?
Option A compares the IQR of both plots.
IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where
[tex]Q_1 \to[/tex] Lower quartile
[tex]Q_2 \to[/tex] Upper quartile
From the attached plots, we have:
Republican
[tex]Q_1 = 170.5[/tex]
[tex]Q_3 = 356[/tex]
So:
[tex]IQR = 356 - 170.5[/tex]
[tex]IQR = 185.5[/tex]
Democratic
[tex]Q_1 = 181[/tex]
[tex]Q_3 = 367.5[/tex]
So:
[tex]IQR = 367.5 - 181[/tex]
[tex]IQR = 186.5[/tex]
We have:
[tex]IQR = 185.5[/tex] --- Republican
[tex]IQR = 186.5[/tex] --- Democratic
Hence, (a) is true
what are the inequalities
Answers
14 - 5
13 - 5
12 - 5
11 - 5
10 - 5
9 - 5
8 - 5
7 - 5
6 - 5
5 - 5
I’m not sure if this was the answer you were looking for but I hoped it helped
Answer:
an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.
An Olympic-size swimming pool is approximately 50 meters long by 25 meters wide. What distance will a swimmer travel if they swim from one corner to the
opposite?
type your answer...
meters
Answers
Answer:
56m
Step-by-step explanation:
Diagram:-[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]
Length=50m
Breadth=25m
Diagonal be x
It will form right angle triangle Like below[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]
So
➝x^2=50^2+25^2
➝x=√(50)^2+(25)^2
➝x=√2500+625
➝x=√3125
➝x=55.9m
➝x=56m(approx)
Sebastian bought 4 basketballs for $37.60 what is the rate price for per basketball?
Answers
Answer:
9.40$
Step-by-step explanation:
Convert 100° to radians. Will mark brainlist if correct
Answers
100/180 * pi = 5/9 * pi
14
4(x + 6)
+
2(3x – 5) =
A) 4x + 14
B) 10x + 34
C) 10x + 14
D) 10x – 24
E) NOTA
Answers
Answer:
D) 10x - 24
Step-by-step explanation:
Bc I know maths a lot
I need help again. :( plzz help
Answers
Answer:
4 white horses.
Step-by-step explanation:
First, you need to find the total of the first set of horses (basically how many total were in the table).
~ 3+2+9+1 = 15
Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.
~ [tex]\frac{3}{15}[/tex] (or [tex]\frac{1}{5}[/tex], simplified)
Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:
~ [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]
The final step is to multiply across (1x20) then divide that number by the 5 to find X.
~ 20÷5 = 4
Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^
Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answers
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
X
Pema's bedroom is 18 feet long and 14 feet wide. She drew the plan below to
divide the room into sections. Which shows how to find the area of the Study
Corner?
1) 7 ft + 4 ft = 11 sq ft
11 ft
7 ft
10 ft + 7 ft = 17 sq ft
10 ft
Bed
Study
Corner
1) 10 ft x 7 ft
70 S
sq ft
4 ft Play Area Closet
1) 4 ft x 7 ft = 28 sq ft
Answers
70ft is the answer I think
Simplify:
3x2 – 2x + 1 = [?]
x=2
Answers
Answer:
9
Step-by-step explanation:
3×2² -2×2 +1 = 3×4-4+1=12-4+1=9
Answer:
9
Step-by-step explanation:
Substitute x = 2 into the expression
3(2)² - 2(2) + 1
= 3(4) - 4 + 1
= 12 - 4 + 1
= 8 + 1
= 9
Question 4: *
What are the solutions to the equation 4x2 – 52x + 169 = 121?
Answers
Answer:
1.0769
Step-by-step explanation:
multiply 4x2 to get 8
move -52x over the equal sign to make it 52x
so we get something like this: 8 + 169 = 121 + 52x
also move 121 over the equal sign to make it -121
Like this: 8 + 169 - 121 = 52x
Now when you simply, you will get 56 = 52x
Divide both sides by 52
Final answer is 1.0769
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
What was the ending balance in her account?
O -$51.21
O $8.23
O $8.23
O $51.21
What is the answer?
Answers
Answer:
-8.23
Step-by-step explanation:
If Lori had $126.89 in her bank account and she deposited $21.49, she would be adding that to the amount of money in her bank account.
126.89+21.59= 148.48
Then subtract the amount of money the repairs costed.
148.48 - 156.61 = -8.23
Therefore Lori would have a balance of -$8.23.
Answer:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61
126.89+ 21.49=148.38
148.38-156.61=−8.23
the answer is -8.23
A guitar string has a lenght of 0.5 m. If the string is vibrating with a wavelength of 0.25 m, what harmonic is it vibrating at?
1st
4th
Зrd
2nd
Answers
Answer:
4th
Step-by-step explanation:
string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.
How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)
Answers
Answer:
4 1/2 cups of ice cream
Step-by-step explanation:
since the denominators are the same, we look at the numerator.
2 x 4 = 8 out of 9 cups
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answers
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
I need help! would appreciate it
Answers
Answer:
X is about 58.41 degrees
Step-by-step explanation:
For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.
Therefore, with the equation for sine, we would get
sin(x) = 23/27
sin(x) = 0.851
Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.
x = sin-1 23/27
Last, use a calculator to get the answer.
X is about 58.41 degrees
On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?
HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.
Answers
Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP
Answers
Answer:
If your doing it on usa tp and have a through e is b and e
Step-by-step explanation:
The two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Given the following data:
Speed = 156 feet per seconds.To convert the value of speed in feet per seconds to kilometers per hour:
What is speed?Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).
Conversion:
1 ft/s = 1.09728 km/hr.
156 ft/s = X km/hr.
Cross-multiplying , we have:
[tex]X=156 \times 1.09728[/tex]
X = 171.1757 km/hr.
Note:
1 feet = 12 inches.
156 feet = [tex]156 \times 12[/tex] = 1872 inches.
Next, we would convert this value to inches per minute:
156 ft/s = [tex]1872 \times 60[/tex] = 112,320 inches per minute.
Therefore, the two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Read more on speed here: https://brainly.com/question/10545161
What is the slope of the line that passes through the line
containing (-6, 1) and (4, 8)?
Answers
I hope it helps :)
If the volume of this cube (15 cm and 5 cm) is 525 cm3,then the length of the missing side is what cm?
Answers
Just multiply 15 and 5 which gives you 75. Take 525 and divide it by 75 and you get 7. You can check your answer by multiplying (what you got for your answer) x 5, then that result is multiplied by 15 and you should get 525.
Hope it helps :D
One number is 2 more than another number. If the product of the two numbers is 35, what are the numbers? Please show the work
Answers
Answer: 5 and 7.
Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.
First I made a list of numbers that when multiplied equal 35
Then I went through the list and took out all the options that were not one number being 2 more than the other.
The only option left is 5 x 7 (5*7)
what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?
The numbers are 5 and 7.
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
let the first number be 'x'
another number = x+2
According to question,
x(x+2)= 35
x²+2x-35=0
x²+7x-5x-35=0
x(x+7)-5(x+7)=0
(x-5)(x+7)=0
x= +5, -7
Hence, the numbers are 5 (x) and 7 (x+2).
Learn more about equation here:
https://brainly.com/question/2263981
#SPJ2
Complete the equation so it will have no solution. 5x - 8 = _ +2
Answers
Answer:
5x
Step-by-step explanation:
If the blank were to be occupied with 5x there would be no solutions
Observe...
5x - 8 = 5x + 2
* subtract 5x from each side *
5x - 5x cancels out
5x - 5x cancels out
we're left with -8 = 2
which is not true
Hence if the blank = 5x the equation will have no solution
Find the value of x. 30,45,x,100; The median is 51.
Answers
Answer:
49
Step-by-step explanation:
please help asap!!!!!
Answers
let me explain
y=x+1
y= -x + 5
x + 1 = -x +5
GET RID OF X
1 = 5
1 and 5 do not equal each other and there is no x left either so you can’t solve it.
Answer:
No
Step-by-step explanation:
if both equations begin with 'y=' then we can set the expressions equal to each other:
-x+1 = -x+5
1 ≠ 5 ∴ there are no solution to this system of equations
how do we say the expression in words?
can somebody help me pls rn
Answers
Answer:
Step-by-step explanation:
1 Escritura unida
Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]
el bajorrelieve, los bajorrelieves
la mediapunta, las mediapuntas
En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:
el puercoespín, los puercoespines; el puerco espín, los puercos espines
el arcoíris, los arcoíris; el arco iris, los arcos iris
el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.
el pavorreal, los pavorreales; el pavo real, los pavos reales
La Gramática prefiere, como norma general, la forma en una palabra.
Suppose that whether it rains tomorrow depends on past weather conditions only through the last 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. Over the long term, what proportion of days does it rain
Answers
Answer:
The answer is "0.425".
Step-by-step explanation:
The T be a requirement today that such rains.
The Y be a situation yesterday that now it rained.
The O is a condition for tomorrow to rain.
[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]
There Arena and morrow overview To Aspects Which will rain:
[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]
Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.
Its possibility of tomorrow's rain is:
[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]
[tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]
[tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]
PLEASE HELP ASAP!! will mark brainlest!
Answers
Answer:
1. Axis of Symmetry: x=-4, Vertex: (-4, -6)
2. Axis of Symmetry: x=2, Vertex: (2, 8)
Step-by-step explanation:
100 ÷ 10 • 2 • 4 ÷ 2
40
0.625
20
10
Answers
Answer:
40
Step-by-step explanation:
100/10*2*4/2
10*2*4/2
20*4/2
20*2
40
If this helps please mark as brainliest
Answer:
40
Step-by-step explanation:
100/10=10
10*2=20
20*4=80
80/2=40