Answer:
The volume of prism A is the same as the volume of prism B.
Step-by-step explanation:
Given
See attachment for prisms
Required
Compare the volume of both
First, we calculate the volume of both prisms.
Prism A is a rectangular prism.
So, its volume is:
[tex]V_A = Length * Base * Height[/tex]
Where
[tex]Length \to a[/tex]
[tex]Base \to b[/tex]
[tex]Height \to h[/tex]
So:
[tex]V_A = abh[/tex]
For Prism B, we have:
[tex]Volume = Base\ Area * Height[/tex]
Where
[tex]Base\ Area = Length * Base[/tex]
and
[tex]Length = a[/tex]
[tex]Base = b[/tex]
So:
[tex]Base\ Area = a * b[/tex]
[tex]Base\ Area = a b[/tex]
The volume is then calculated as:
[tex]Volume = Base\ Area * Height[/tex]
[tex]V_B = ab * Height[/tex]
Where
[tex]Height \to h[/tex]
So:
[tex]V_B = ab * h[/tex]
[tex]V_B = abh[/tex]
By comparison:
[tex]V_A = V_B = abh[/tex]
Cos? Tan? Sin? What is angle V?
Answer:
60degrees
Step-by-step explanation:
SInce our reference angle is <V;
Opposite = WU = 7√3
Hypotenuse= WV = 14
Using the SOH CAH TOA identity
son m<V = opposite/hypotenuse
sin m<V = 7√3/14
sin m<V = √3/2
m<V = arcsin(√3/2)
m<V = 60degrees
Hence the measure of angle V is 60degrees
which point is best represented by the ordered pair (2,-5.5)
Answer:
Point W best represented by the ordered pair (2,-5.5)
please help i will give brainliest
Answer:
Part 1: 2.4 + x
Part 2: 4(2.4 + x) = 14.8
Step-by-step explanation:
2.4 + x is the total distance covered every day.
We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.
Extra: Here's how to work out x!
4(2.4 + x) = 14.8
9.6 + 4x = 14.8
4x = 5.2
x = 1.3
Hope that helps!
Emily has 7 photos on one page of an album. She has 3 photos on each of the other 9 pages. How man photos are in Emily's album? *
Answer:
34
Step-by-step explanation:
Emily has 7 photos on one page of an album
She has 3 photos on the other of the 9 page
= 3×9
= 27
27+7
= 34
Hence she has 34 photos
does anybbody know the answer to this? #help
Answer:
each tube costs $1.5 so put it the point in between 1 and 2
thank you
Step-by-step explanation:
Help I don’t know what to do
Answer:
20 mm (C)
Step-by-step explanation:
CAN SOMEBODY PLEASE HELP ME WITH THIS?
Find the volume of the cylinder. Round to the nearest tenth
5 ft
2 ft
Given:
Radius of the cylinder = 2 ft
Height of the cylinder = 5 ft
To find:
The volume of the cylinder.
Solution:
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi = 3.14,r=2,h=5[/tex] in the above formula we get the volume of the given cylinder is:
[tex]V=(3.14)(2)^2(5)[/tex]
[tex]V=(3.14)(4)(5)[/tex]
[tex]V=62.8[/tex]
Therefore, the volume of the given cylinder is 62.8 ft².
Which linear equation is written in slope-intercept form?
Question 12 options:
6y = –2x + 12
–2x = y + 5
3x – 4y = 9
y = –3x +1
Answer:
It’s the 3rd one
Step-by-step explanation: it’s the 3rd one
8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.
Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]
which rounds to
2539.47
b.)
using the same equation we can write
[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]
not sure how to round this, so I'll leave that part up to you
Why is the length of the base of the rectangle the same as the circumference of the circles in the net of a cylinder?
Answer:
The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).
Step-by-step explanation:
I WILL MARK YOU AS BRAINLIEST IF YOU CAN ANSWER :)
Answer:
6 inches fell an hour
6x30 =180 so One hundred eighty inches in 30 mins
Step-by-step explanation:
Answer:
0.5 in per hour
16.2 in 30 hours
Step-by-step explanation:
If you want to find the amount of rain that falls in one hour, divide 13 by 24
13/24= 0.541 inches per hour
Then multiply this by 30
0.541 x 30 = 16.23
Since they want you to round to the nearest tenth, your answers would be:
0.5 in per hour
16.2 in 30 hours
Graph ATUV with vertices T(-3, 2), UC-1, 0), and (4,-2) and its image after the glide reflection.
Answer:
T (2, 2)
U (4 , 0)
V (1, -2)
Step-by-step explanation:
The translation is (x + 5, y), meaning 5 is being added to the X-values and Y stays the same.
Amy walks to school everyday. It is 800 meters from her house to the front door. It takes her 240 seconds to walk to school. What is her average speed?
For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.
Answer:
im about to get visous on gta so its 70%
Step-by-step explanation:
What two consecutive numbers make 81
Answer:
40 and 41.
Step-by-step explanation:
81/2 = 40.5, thus 40 and 41
Solve: 2y - 4 = 14
Please answer I put the points up please answer quik
Answer:hope it helps
Step-by-step explanation:
Simplifying
2y + -4 = 14
Reorder the terms:
-4 + 2y = 14
Solving
-4 + 2y = 14
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2y = 14 + 4
Combine like terms: -4 + 4 = 0
0 + 2y = 14 + 4
2y = 14 + 4
Combine like terms: 14 + 4 = 18
2y = 18
Divide each side by '2'.
y = 9
Simplifying
y = 9
The solution to the equation 2y - 4 = 14 is y = 9.
We have,
To solve the equation 2y - 4 = 14, we can isolate the variable y by performing the necessary operations:
First, we add 4 to both sides of the equation to eliminate the -4:
2y - 4 + 4 = 14 + 4
Simplifying, we have:
2y = 18
Next, we divide both sides of the equation by 2 to isolate y:
2y/2 = 18/2
Simplifying further:
y = 9
Therefore,
The solution to the equation 2y - 4 = 14 is y = 9.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
Explain pleaseeeeeeeeeeeee
Answer:
81°
Step-by-step explanation:
all triangles = 180°
make a sentence with antonyms of
go and beatiful
Answer:
Stop believing that you are ugly.
Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3
9514 1404 393
Answer:
maximum: +2
minimum: -8
Step-by-step explanation:
The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...
5(±1) -3 = -3±5 = +2, -8
The maximum of f(x) is +2; the minimum is -8.
Which equations represent exponential growth?
Which equations represent exponential decay?
Drag the choices into the boxes to complete the table.
Exponential Growth Exponential Decay
Answer:
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Step-by-step explanation:
The key to differentiate between decay and growth is the term inside the bracket
For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1
Looking at the given equations, we have;
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Answer:
* For future readers *
I just took the test :)
What is the solutions set of y=x^2+2x+7and y=x+7
Answer:
when x=0 ,y=7
when x=-1, y=6
Step-by-step explanation:
Taking [tex]y=x^{2} +2x+7, y=x+7[/tex] as equation 1 and 2 respectively
Inserting equation 2 in 1,
[tex]x+7=x^{2} +2x+7\\[/tex]
getting rid of 7 since its in both the sides with the same + signs,
[tex]x^{2} +2x-x=0\\x^{2} +x=0\\x(x+1)=0\\x=0 / x=-1[/tex]
when x=0 ,
y=7
when x=-1 , y=6
A photo booth in the shape of a rectangular prism has edge lengths of 3 ft by 4 ft by 7 ft. What is the volume of the space inside the photo booth?
Answer:
V=84ft³
Step-by-step explanation:
Answer:
Heyaa!! My name is Pinky and im here to inform you that your answer is...
Step-by-step explanation:
!!! V=84ft³ !!!
My clarification or my work is:
V=w h l= 4· 7· 3 =84ft³
w= Width
L= Length
H= Height
Have an amazing dayy!!
~Pinky~
Evaluate.
n ÷ 3 + 3 x 7 for n = 12
A. 4/21
B. 9 1/3
C. 25
D. 49
Is 2.164213562 Rational or Irrational
is 1/4 equivalent to 1/8? use the number lines below and the drop-down menus to explain your answer
Answer:
NO
Step-by-step explanation:
The left side 0.25 does not equal to the right side 0.125 , which means that the given statement is false.
Answer:
no because is you change 1/4 to have a common denominator of 8 it will be 2/8 which doesn't equal 1/8
hope this helps
have a good day :)
Step-by-step explanation:
Given that events A and B are independent with P(A)=0.31P(A)=0.31 and P(B)=0.7P(B)=0.7, determine the value of P(B|A)P(B∣A), rounding to the nearest thousandth, if necessary.
I need help please.
Answer:
.7
Step-by-step explanation:
I'm going to assume you meant to write all that stuff once
The conditional probability formula is as follows : (B|A)=(A∩B)/A
We're told that the two probabliites are independent of each other which means that A∩B= A*B
Which means we have
(.31*.7)/(.31)
This should simplify to .7
*note* a shortcut you can use when finding the conditional probability of two independent probabilities you can just take the first probability (or in this case B) and that'll be your final answer
I need help solving this question please :)
Answer:
um can you pleasee take a clearer picture thankyou I cant see the things inside the circle properly
Step-by-step explanation:
An object is moving at a speed of 2 centimeters every 7 seconds. Express this speed in meters per week. Round your answer to the nearest whole number.
Answer:
v = 12121 m per week.
Step-by-step explanation:
Given that,
The object is moving at a speed of 2 centimeters every 7 seconds.
We need to find the speed in m per week.
2 cm = 0.02 m
1 week = 604800 s
7 s = [tex]1.65\times 10^{-6}\ week[/tex]
Speed = distance/time
So,
[tex]v=\dfrac{0.02\ m}{1.65\times 10^{-6}\ week}\\\\v=12121.21\ m/week \\\\or\\\\v=12121\ m/week[/tex]
So, the speed of the object is 12121 m per week.
Answer:
1728 meters per week, the answer of 1212 was wrong on my test.
Solve for
32 + 2 = 73 – 1
Answer:
34 < 72
Step-by-step explanation:
32 + 2 = 73 - 1
34 = 73 - 1
34 = 72