Answer:
B. 125 : 216Step-by-step explanation:
Surface area of cuboid A with side a is:
6a²Same for cuboid B with side b:
6b²Ratio of surface areas:
6a² : 6b² = 25 : 36 ⇒a² : b² = 25 : 36 ⇒a : b = 5 : 6Volumes of A and B are:
a³ and b³And their ratio is:
a³ : b³ = 5³ : 6³ ⇒a³ : b³ = 125 : 216Correct option is B
Answer:
B. 125 : 216
Step-by-step explanation:
Solve the following system of equations. 4y+3z=-7
12x-3y+z=-7
-6x+2y-2z=12
Step-by-step explanation:
12x-3y+z＝-7 ‖-12x+3y
z＝-7-12x+3y
so you can replace z with (-7-12x+3y)
4y+3*(-7-12x+3y)＝-7
4y+(-21-36x+9y)＝-7
13y-21-36x＝-7 ‖+21
13y-36x＝14 ‖-13y
-36x＝14-13y ‖*(-1)
36x＝-14+13y ‖/3
12x＝-14/3+13/3y
so-6x＝+14/6-13/6y
(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)＝12
(+14/6-13/6y)+2y+14-28/3+26/3y-6y＝12
(+14/6-13/6y)+2y+14-56/6+52/6y-6y＝12
7+2.5y＝12 ‖-7
2.5y＝5 ‖/2.5
y＝2
so
4y+3z＝-7
4*2+3z＝-7
8+3z＝-7 ‖-8
3z＝-15 ‖/3
z＝-5
12x-3*2+(-5)＝-7
12x-6-5＝-7
12x-11＝-7 ‖+11
12x＝4 ‖/12
x＝1/3
Fill in the blank. The centroid is (blank) of the distance from each vertex to the midpoint of the opposite side.
Step-by-step explanation:
.
The centroid is 2/3 of the opposite side. of the distance from each vertex to the midpoint. 8. To inscribe a circle about a triangle, you use the.
5 pages·2 MB
The complete statement is: the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side
The properties of a centroid are:
The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.The centroid is located at a point that is 2/3 from the vertex to the midpointThe second highlight above means that: the statement is to be completed with 2/3
Read more about centroids at:
https://brainly.com/question/1189196
2(x - 4) = 6x + 8
What’s the answer
y = x - 4
y = 4x + 2
x=
y =
Answer:
(-3/2, -11/2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x - 4
y = 4x + 2
Step 2: Solve for x
Substitution
Substitute in y: x - 4 = 4x + 2Isolate x terms: -4 = 4x + 2Isolate x term: -6 = 4xIsolate x: -3/2 = xRewrite: x = -3/2Step 3: Solve for y
Define equation: y = x - 4Substitute in x: y = -3/2 - 4Subtract: y = -11/2Answer by Khan Academy:
x=−2
y=−6
Hope This Helped Everyone
Step-by-step explanation:
Part C
Write a question or define an attribute of the data that you couldn't answer or see with the original histogram, but can
now answer or see with the new histogram.
Answer:
This is the sample answer:
The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.
Step-by-step explanation:
Don’t worry about number 7 just 5 and thank you
Step-by-step explanation:
the answer is D you subtract it on both sides to get rid of the 15
Quartile represent what percent of data.
A. 35%
B. 50%
C.25%
D.30%
After falling 23 degrees f, the temperature is now 51 degrees f. What was the starting temperature?
Answer:
74
Step-by-step explanation:
its easy so you add 23 and 51 and you got the answer.
Find the value of x that will make A||B.
A
В
4x
2x
x
[?]
Answer:
[tex]x = 30^{\circ}[/tex]
Step-by-step explanation:
Given
Parallel lines A and B
Required
Determine the value of x
From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:
[tex]2x + 4x = 180[/tex]
Solving further, we have:
[tex]6x = 180[/tex]
Divide both sides by 6
[tex]\frac{6x}{6} = \frac{180}{6}[/tex]
[tex]x = \frac{180}{6}[/tex]
[tex]x = 30^{\circ}[/tex]
A. 1/3
B. 5/13
C. 4/5
D. 12/13
Answer:
5/13
Step-by-step explanation:
OM is 5 and OL is 13 use Pythagoreans theorem
geometry help please!
Answer:
x+16=4x-5
16+5=3x
21=3x
21/3=x
x=7
i would like to give some people points and also pray for everyone to have a great life
An electrician collected $1265.23 for a job that included $840 labor, which was not taxed, and the rest for parts, which were taxed at 6%. Determine how much of the total was tax.
Answer:
Total tax = $25.51
Step-by-step explanation:
Total collection = $1265.23
Tax-Free amount = $840
so
Taxable amount = $1265.23 - $840
= $425.23
Given that the taxable amount was taxed at 6%
Thus,
The total tax = 6% of 425.23
= 6/100 × 425.23
= 0.06 × 425.23
= $25.51
Therefore,
Total tax = $25.51who wants brainlest?
what is 5 thousand + 1 ?
(very hard)
who is the most popular gamer on yt
(pls sub to him)
do you like roblx or mincraft or both
bonus question:
(five stars)
witch is better
mincraft or roblx
(your opinion)
if you want to compete in the next brainlest competition, friend me, or follow my questions, to keep yourself updated............
:)
Answer:
5001
PewDiePie
both!!
rblx, since there r similar games like mincraft in it lol
Answer:I want brainlest,5001 SUPA HARD pewdiepie (i subed)
I prefer minecraft i like both
Step-by-step explanation:
Not sure if thats what u wanted lol :D
A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are 6 vegetables available, and guests may select any 2 vegetables for their omelet. How many different combinations of 2 vegetables are possible?
from were get the 5 and 4
Answer:
15 possible combinations
Step-by-step explanation:
Given
[tex]Vegetables = 6[/tex]
[tex]Selection = 2[/tex]
Required
Determine the possible number of combinations
The question emphasizes on "selection" which means "combination".
So; To answer this question, we apply the following combination formula:
[tex]^nC_r = \frac{n!}{(n-r)r!}[/tex]
In this case:
[tex]n = 6[/tex]
[tex]r = 2[/tex]
The formula becomes:
[tex]^6C_2 = \frac{6!}{(6-2)!2!}[/tex]
[tex]^6C_2 = \frac{6!}{4!2!}[/tex]
[tex]^6C_2 = \frac{6*5*4!}{4!2*1}[/tex]
[tex]^6C_2 = \frac{6*5}{2}[/tex]
[tex]^6C_2 = \frac{30}{2}[/tex]
[tex]^6C_2 = 15[/tex]
Hence, there are 15 possible combinations
Select the correct equations.
Identify all of the linear functions.
2x + 5y = 13
-x2 = 3y + 10
3(2x + y) = 14
y = 13- 2x2
2 = y + x5
y = x + 7
Answer:
A linear equation is of the form:
y = a*x + b
Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.
Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.
a) 2x + 5y = 13
5y = -2*x + 13
y = (-2/5)*x + 13/5
(this is a linear equation)
b) -x^2 = 3y + 10
-3*y = x^2 + 10
y = (-1/3)*x^2 + 10/3
(this is not a linear equation)
c) 3(2x + y) = 14
6x + 3y = 14
3y = 14 - 6x
y = (-6/3)*x + 14/3
(this is a linear equation)
d) y = 13 - 2*x^2
(this is not a linear equation, we have a x^2 there)
e) 2 = y + x^5
-y = x^5 - 2
(this is not a linear equation, we have a x^5 there)
f) y = x + 7
we can rewrite this as:
y = 1*x + 7
(this is a linear equation)
Answer:
i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct
Step-by-step explanation:
using the diagram below, what is the measure of e
Answer:
50°Step-by-step explanation:
Since AB and ED are parallel and AE is the transversal, angle A and E are congruent
So m∠E = m∠A = 50°
The value of angle E is 50.
What is an angle?An angle is a combination of two rays (half-lines) with a common endpoint.
Given:
ΔCAB ~Δ CED
AB || CD
As, ΔCAB ~Δ CED
So, the corresponding angle is equal.
<A = <E
<B= <D
So, <A= <E =50. (given)
Hence, the m<E =50.
Learn more about angle here:
https://brainly.com/question/13954458
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Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $18.95. Which is the better buy? Which Item cost less per golf ball? By how much?
What is 3/8 as a decimal representation and as a percent representation
Answer:
0.375 and 37.5%
Step-by-step explanation:
3/8 = 0.375
0.375*100=37.5%
What does the word slope mean?
Which is equivalent to (-2m^2n^3/m^2n^4)^2?
I WILL MAKE YOU BRAINLEST
At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal?
can some one plz help me with this sienice qustion (will give brainlest)
Answer:
A
Step-by-step explanation:
I am extremely confused. Any help?
Answer:
(x-4)(5x³+18x²+54x+215)+860
Step-by-step explanation:
This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r
That is:
5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r
if so,then
5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r
5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r
5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r
We can now equate the similar terms thus,the terms with the same power of x on both sides
5x⁴=ax⁴,a=5
Again,
b-4a=-2,but a=5
b-4(5)=-2
b-20=-2
b=18
Again,
c-4b=-18(but b=18)
c-4(18)=-18
c-72=-18
c=54
Again,
d-4c=-1(but c=54)
d-4(54)=-1
d-216=-1
d=215
Finally,
-4d+r=0(but d=215)
-4(215)+r=0
r-860=0
r=860
This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860
Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860
June's mother was 29 when June was 5 years old. How old will June be when she is one-quarter her mother's age?
Given :
June's mother was 29 when June was 5 years old.
To Find :
How old will June be when she is one-quarter her mother's age.
Solution :
Let, age of June when she is one-quarter her mother's age is x and mother's age is y.
So, y = 4x ...1)
Also, we know that difference between two person's age is constant.
So, y - x = 29-5
y - x = 24 ...2)
Solving equation 1 and 2, we get :
[tex]4x -x = 24\\\\3x = 24\\\\x = 8[/tex]
y = 32
Therefore, June will be 8 years old when is one-quarter her mother's age.
someone pls help me with this
Answer:
4.25 wewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewe
Step-by-step explanation:
Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work):
Part A: IF (x) = 3(x + 6), find f(x) = 24. (5 points)
Part B: Solve for x and graph your solution on a number line or describe the solutions for x:
2(x-4) > 4x - 18
(5 points)
9514 1404 393
Answer:
A: x = 2
B: x < 5
Step-by-step explanation:
Part A:
Substitute the given value and solve for x.
f(x) = 3(x +6)
24 = 3(x +6)
8 = x +6 . . . . . . divide by 3
2 = x . . . . . . . . . subtract 6
__
Part B:
Eliminate parentheses, solve the 3-step inequality.
2(x -4) > 4x -18
2x -8 > 4x -18
-8 > 2x -18 . . . . . . . subtract 2x
10 > 2x . . . . . . . . . . add 18
5 > x . . . . . . . . . . . divide by 2
The solutions for x include any value less than 5.
Find tan theta.
A.16/20
B.12/20
C.16/12
D.12/16
Answer:
16/12
Step-by-step explanation:
SOHCAHTOA
TOA - tan theta = Opposite/ Adjacent
Tan theta = 16/12
= 16/12
if you were told to find theta, then
tan inverse ( 16/12)
theta will be 53.13 degrees
The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].
What is a right angle triangle?A right angle triangle is a triangle in which one of the three angles is a right angle.
What is the tangent of an angle in a right angle triangle?"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."
Given, Base of the right angle triangle is = 12.
The height of the right angle triangle is = 16.
The hypotenuse of the right angle triangle is = 20.
The angle between the base of the triangle and the hypotenuse is = θ.
Now, tan θ
[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]
Therefore, tan θ of the given right angle triangle is [tex]\frac{16}{12}[/tex].
Learn more about the tangent of a right angle triangle here: https://brainly.com/question/3770177
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What is 6,618 feet in yards
Answer:
2,206 yards
Step-by-step explanation:
To find how many yards there are, we can divide by 3.
6618 / 3 = 2206
Best of Luck!
Answer:
6,618 feet is 2,206 yards.
Step-by-step explanation:
In a class 32 students, 4students we're homesick with the flu on Thursday. what percentage of the students were absent on Thursday
Answer:
12.5%
Step-by-step explanation:
4 * 100 / 32 = 12.5