Answer:
The ratio of the volumes of the similar solids is 1331:343.
Step-by-step explanation:
Ratios
Given the ratio of two lengths is a:b. Given a two-dimensional shape is similar to another shape, the ratio of their areas is [tex](a/b)^2[/tex], and the ratio of their volumes is [tex](a/b)^3[/tex].
We know the ratio of the areas of the bases of two similar rectangular prisms is 121:49. Thus, the ratio of its dimensions is:
[tex](a/b)^2=(121/49)[/tex]
Taking the square root:
[tex]a/b = \sqrt{121/49}=11/7[/tex]
Thus, the ratio of the volumes is:
[tex](a/b)^3=(11/7)^3=1331/343[/tex]
The ratio of the volumes of the similar solids is 1331:343.
PLEASE HELP<3
ALGEBRA
When g(x) is divided by X+4, the remainder is 0. Find all the roots for g(x)=x^4+3X^3-6X^2-6x+8
Answer:
Step-by-step explanation:
(x^4+3x^3-6x^2-6x+8) ÷(x+4)
x^3-x^2-2x+2
Please answer if you actually know.
Answer:
A is correct bro because W(work done)=F(force)*S(distance)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A point goes through the origin and has a slope of 3. What is the equation of the line?
Answer:
The correct answer is c Y=3x
Step-by-step explanation:
Hope this helps!
Please answer these 5 questions and thank you!
Answer:
1. its either C or D I can’t rem which one it is
2. D
3. A
4. A
5. B
Step-by-step explanation:
Dawson rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns. What is the constant of proportionalty?
Answer:
10
Step-by-step explanation:
He makes $10 for each job he's done
If f(x) = 5x - 12, what is f(2)?
A. 10
B. 2
C.-22
D.-2
Answer-2:
Step-by-step explanation:
F(x)= 5x-12
F(2)= 5(2)-12
F(2)= 10-12= -2
Solve [0, 2pi)
3 Cos(2x) = 5 Sin(x) - 1
Given :
Solve [0, 2π)
3cos(2x) = 5sin(x) - 1
To Find :
The value of x in range [0,2π).
Solution :
We know, cos(2x) = 1 - sin²x .
3( 1 - 2sin²x ) = 5sinx - 1
3 - 6sin²x = 5sinx - 1
6sin²x + 5sinx - 4 = 0
6sin²x + 8sinx - 3sinx - 4 = 0
2sinx( 3sinx + 4 ) - 1( 3sinx + 4) = 0
sin x = 1/2 and sin x = -4/3 .
Since, sin x ≤ 1.
So, sin x = 1/2 .
x = π/6 .
Therefore, value of x is π/6.
Hence, this is the required solution.
What is the line of symmetry?
Answer: x = 18
Step-by-step explanation:
Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes.
Which of these equations represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?
A - T = 5d
B - T = 1/5 d
C - T = d+4
D - T = d-4
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that Andre rode his bike at a constant speed.
Number of miles driven = 1 mile
Time taken to drive 1 mile = 5 minutes.
Then speed can be calculated using formula:
Speed = Distance / Time
Now we have to find the amount of time t (in minutes) taken by him to right distance d so we can again use same formula.
Speed = Distance / Time
or
Time = Distance / Speed
Plug the given values
t = 5d
Hence find answer will be equation t=5d.
if h answer this your a legend
Answer:
260
Step-by-step explanation:
V= l x w x h
V=13 x 4 x 5
V=260
Please help with this()
Answer:
396
Step-by-step explanation:
Translate and solve: m decreased by 12 is equal to negative 3. *
Answer:
Step-by-step explanation:
m-12= -3 add 12 to both sides
m=9
7. What are the x-intercepts of the graph of y = (3x +8)(5x - 3)(x - 1)?
Answer:
y = 15x^3 + 16x^2 - 55x + 24
Step-by-step explanation:
y = (3x +8)(5x - 3)(x - 1)
y = (15x^2 - 9x + 40x -24) * (x - 1)
y = (15x^2 + 31x - 24) * (x-1)
y = 15x^3 - 15x^2 + 31x^2 - 31x - 24x + 24
The x-intercepts of a graph are the points where the graph crosses the x-axis.
The x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]
The function is given as:
[tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]
First, we plot the graph of [tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]
See attachment for the graph
Next, write out the x-values when the graph crosses the x-axis.
From the graph, we have:
[tex]\mathbf{x = -\frac 83}[/tex]
[tex]\mathbf{x = \frac 35}[/tex]
[tex]\mathbf{x = 1}[/tex]
Hence, the x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]
Read more about x intercepts at:
https://brainly.com/question/14180189
State the Angle Relationship & Find the measure of the indicated angle that makes lines u and v parallel.
Answer:
the indicated angle should be 121°
Step-by-step explanation:
If 2 lines are parallel to each other & a transversal intersects both of them , the corresponding angles on a same side are equal.
If the indicated angle will be equal to the given angle , they will be known as corresponding angles only when v || u.
So the indicated angle is 121°
Sub to bionic pleasssssse
Answer:
BRO HE IS THE BEST SO I SUBBED
The product of 485 x 35 is 16975, what is the product of 485 x 3.5? How do you know?
Answer:
1697.5
Step-by-step explanation:
bY multiplying
Answer:
1697.5
Step-by-step explanation:
you just add a dot next the the 5 and remove remove the last dight
Complete the problem below:
2500+ 50123=?
Answer:
2500+ 50123=52623
Step-by-step explanation:
I need help with this question ASAP
Write this statement as a conditional statement in the form “if p, then q.”
Three points are all located on the same line. So, the points are collinear points.
Answer:
if three points are all located on the same line, then, the points are collier points.
Step-by-step explanation:
the if or p statement is called the hypothesis.
the then or q statement is called the conclusion.
Complete the following statement. 8 + ( ) = 6
Answer:
8+(-2)=6
Step-by-step explanation:
ANSWER QUESTION BELLOW!!⇅!!⇅
Answer:
Option 3. step 1.
Step-by-step explanation:
what percentage is 4 month of a year
Answer:
33.33%
Step-by-step explanation:
Year has 12 months.
4 ÷ 12 = 0.3333
0.3333 × 100% = 33.33%
y=2x-1 in standard form
Answer: 2x - y = 1 this should be it
The equation in standard form, y = 2x -1
What is the equation of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Given an equation, y = 2x-1
The standard form is given as - y = mx+c
The given equation is already in standard form, where, m = 2, c = -1
Hence, The equation in standard form, y = 2x -1
For more references on equations of a line, click;
https://brainly.com/question/21511618
#SPJ2
how to Evaluate: (6 + 2 )^3 - 12
Answer: 500
Step-by-step explanation:
(8)^3 - 12
512-12 = 500
HELP ASAP!!! Which inequality is true?
Answer: D.
Step-by-step explanation: 3x3 is 9, and pi is greater than 3. approx. 3.14 (which is pi) x 3 is greater than 9.
Guys can you please help me this is my last assignment before thanksgiving break and my cousin who I haven’t seen in 3 years is coming and I don’t want to spend the time I have doing homework
Answer:
5. $1417.50, 6. $18.13, 7. $.78 (assuming the interest rate is annual), 8. .0625%, 9a. 5%, b. No because If he invests $4200 at 6% for 3 years he will have earned $756, so $4200+$756= $4956
Step-by-step explanation:
Have fun with your cousin
A company sells shares in their stock for a certain price. On one sunday the price of the company's stock was $37.84 per share. This price of the stocks per share changes each day. By how much dos the price of the stock per share change from Sunday until the end of Friday? What is the price of the company's stock per share at the end of the day on Thursday?
Hi, you've asked an incomplete question. However, I assumed that the price of the stock at the end of Thursday is $43, Friday is $46.
Answer:
about +21.56% (or $8.16) by Friday
$43
Step-by-step explanation:
What we simply need to do is to note the percentage difference in price between Sunday and Friday. By subtracting the difference price we get,
$46- $37.84 = $8.16 To percentage
[tex]\frac{8.16}{37.84} *100=[/tex] 21.56%.
It is obvious from the data presented that the price of the company's stock per share at the end of the day on Thursday is $43.
isolate the y 3x+y=5
A crane has a cable with a breaking strain of 6400kg measured to 2 significant figures it is used to lift crates which weigh 90kg measured to the nearest 10kg what is the greatest number of crates that can safely be lifted at one time without breaking the cable some working must be shown
Answer:
100/2=50
lower bound of 6400kg = 6350kg
10/2=5
upper bound of 90kg = 95kg
6350kg/95kg=66kg
Step-by-step explanation:
this is right
What is the equation of this line?
y=−2x−2
y=12x−2
y=−12x−2
y=2x−2
Answer:
A y=-2x-2 I think so sorry if wrong