The relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
How to compare the areas?Let the side length of the base of the square building be l, and the side length of the base of the equilateral triangle building be s
So, the perimeter of both buildings is
P = 4l --- the squareP = 3s --- the equilateral triangleBoth perimeters are equal.
So, we have:
4l = 3s
Divide both sides by 4
[tex]l = \frac 34s[/tex]
Square both sides
[tex]l^2 = \frac{9}{16}s\²[/tex]
The area of an equilateral triangle is:
[tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]
And the area of a square is
[tex]A_s = l^2[/tex]
Make s^2 the subject in [tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]
[tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex]
Substitute [tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex] and [tex]A_s = l^2[/tex] in [tex]l^2 = \frac{9}{16}s\²[/tex]
[tex]A_s = \frac{9}{16} * \frac{4A_t}{\sqrt 3}[/tex]
Evaluate
[tex]A_s = \frac{9}{4} * \frac{A_t}{\sqrt 3}[/tex]
Rationalize
[tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
Hence, the relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
Read more about perimeter and area at:
https://brainly.com/question/24571594
A recipe requires 4.5 teaspoons of sugar to make a cup of pudding. Which equation shows the number of teaspoons of sugar, y, needed to make x cups of pudding?
x = 4.5y
y = 4.5 + x
y = 4.5x
x = 4.5 + y
I am in middle school, I just clicked the wrong button.
Answer:
x = 4.5y
Step-by-step explanation:
x = pudding
y = teaspoons
y = 1 so 1 x 4.5 will get you 4.5 teaspoons of sugar
3. Five gentlemen went to Molesky’s restaurant for all-you-can-eat wings. Mr. Andreasen ate 6 wings, Mr. Betz ate 24 wings, Mr. Henricksen ate 18 wings, Mr. Osters ate 20 wings, and Mr. Tyson ate 32 wings
Answer:
its 100 because 6+24+18+20+32=100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
If you’re looking for in total, then it’s 100.
help! Please show work this is my last question! ʕ•ᴥ•ʔ
Answer:
Here
Step-by-step explanation:
Input for x on first input is 7! 2*7+4
Input for x on second input is 9 2*9+4
Input for x on third input is 15 2*15+4
Hope this helps!
Answer:
(7, 18) (9, 22) (15, 34)
Step-by-step explanation:
so all you have to do is substitute the values given
substitute the input into x
wait a minute.. its output so what you ACTUALLY have to do is
18 = 2x + 4
then solve for the inputs
14 = 2x
x = 7
22 = 2x + 4
18 = 2x
x = 9
34 = 2x + 4
30 = 2x
x = 15
Evaluate: n-1 510,5 5 () = [?] Round to the nearest hundredth. Enter
for my friend please thanks
Answer:
151100 because hundred contain two zeros
Help me out please please
Answer: I'm sorry I could not give you the actual answer but I narrowed it down to either B or C.
100 POINTS!
Given the ordered pairs {(-2,6), (1,0), (-3,10), (5,4), (7,8), (9,-9)}, the value 8 is part of the ___???
A. Range
B. Domain
Answer: domain (7,8)
Step-by-step explanation: range is the Y-value and domain is the x-value
Answer:
A. Range
The value 8 is the range
Step-by-step explanation:
The range is all y-values or outputs of a function.
What is the meaning of the word enigma as it is used in the following sentence?
The reason that the source of the noise is such an enigma is that no one ever traced the sound when they heard it.
Impact
Mystery, puzzle
Knowledge
Unstoppable force
Will receive brainiest if correct√
Answer:
In this context, the word "enigma" means mystery.
Step-by-step explanation:
Answer:
Mystery, puzzle
Context clue: "No one ever traced the sound when they heard it." + "The reason that the source of the noise is such an" provide context clues that this may be a mystery or some sort of puzzling puzzle.
Theo says that the point (-5, 7) and its reflection are always 10 units apart. Is he correct? Explain
Answer:
no
Step-by-step explanation:
This answer is no because -5 and 7 are 12 units apart
7) Alicia has a board game that is 18 inches wide and 18 inches long.
What is the area of the board game?
Answer:
324 inches
Step-by-step explanation:
18 x 18 or 18² is 324
Answer:
324 square inches
Step-by-step explanation:
just multiply the length times the width and ABRACADABRA!!!!!!! theres your answer
Which is false? Financial math
if (am*an)/ap=ax then express in terms of m, n ,p
with explanation
Answer:
x = m*n / p
Step-by-step explanation:
am * an / ap = ax
=> x = m*n / p
pls help and the a b c thing there all the questions
Answer:
A = 3,000 Prarie dogsB = 18,000C = 6 poundsx- 3=8 solve each equation
Answer:
x=11
Step-by-step explanation:
you need to get x by itself so just add it to the other side and you get x=11
Answer:
x =11
Step-by-step explanation:
x - 3 = 8
To solve the equation, we have to isolate 'x'.
To isolate 'x', we have to add 3 to both sides.
x - 3 + 3 = 8 + 3
x = 11
Can someone please help with this
Identify the polygon with vertices H(-6, -2), A (-10,4), T(-6,6), and C(-2,4) and then find the perimeter
and area of the polygon.
Answer:
kite; P=45–√+413−−√ units; A=32 units2
Step-by-step explanation:
Find the length of each side using the Distance Formula.
Find the length of side HA.
HA=(−10−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−−√
=(−4)2+(6)2−−−−−−−−−−√
=16+36−−−−−−√
=52−−√=213−−√
Find the length of side AT.
AT=(−6−(−10))2+(6−4)2−−−−−−−−−−−−−−−−−−−−√
=(4)2+(2)2−−−−−−−−−√
=16+4−−−−−√
=20−−√=25–√
Find the length of side TC.
TC=(−2−(−6))2+(4−6)2−−−−−−−−−−−−−−−−−−−√
=(4)2+(−2)2−−−−−−−−−−√
=16+4−−−−−√
=20−−√=25–√
Find the length of side HC.
HC=(−2−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−√
=(4)2+(6)2−−−−−−−−−√
=16+36−−−−−−√
=52−−√=213−−√
Therefore, HA=HC=213−−√ and AT=TC=25–√.
Since there are two pairs of congruent consecutive sides, HATC is a kite by definition.
Find the perimeter of the kite as the sum of the four sides.
P=213−−√+25–√+25–√+213−−√=45–√+413−−√ units
To find the area of the kite, first find the lengths of the diagonals AC and TH using the Diatance Formula.
The figure shows the same quadrilateral H A T C as in the beginning of the task. Diagonal A C is perpendicular to diagonal T H.
Find the length of diagonal AC.
AC=(−2−(−10))2+(4−4)2−−−−−−−−−−−−−−−−−−−−√
=(8)2+(0)2−−−−−−−−−√
=64−−√=8
Find the legth of diagonal TH.
TH=(−6−(−6))2+(−2−6)2−−−−−−−−−−−−−−−−−−−−−√
=(0)2+(−8)2−−−−−−−−−−√
=64−−√=8
Find the area of the kite using the formula for the area of a kite, A=12d1d2.
Substitute 8 for d1 and 8 for d2.
A=12(8)(8)=32 units2
Therefore, the perimeter of the kite is 45–√+413−−√ units and the area is 32 units2.
Choose the monetary amount that is equivalent to 2 3/100 in money
Answer:
yehhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Find both x and y. Leave answers in simplified radical from. (Step by step)
[tex]\\ \rm\rightarrowtail sin45=\dfrac{x}{12}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{\sqrt{2}}=\dfrac{x}{12}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{12}{\sqrt{2}}[/tex]
[tex]\\ \rm\rightarrowtail x=6\sqrt{2}ft[/tex]
Now
[tex]\\ \rm\rightarrowtail tan60=\dfrac{y}{6\sqrt{2}}[/tex]
[tex]\\ \rm\rightarrowtail y=6\sqrt{6}[/tex]
first class airplanes has 40 pilots for every 15 aircrafts if they employ 250 pilots how many aircrafts does first class airplanes own
9.
Peter and his best friend found some money buried in a
field. They split the money evenly, each getting $26. Which
equation models this scenario?
a) x + x + 2 = 52
b) x/0.5 = 26
C) 0.5x = 26
d) 2x = 26
Answer:
should be A
Step-by-step explanation:
Please help me! Please explain thanks!
Answer:
Measure of side a: 3
Measure of side b: 4
Measure of side c: 5
Side a/c: 3/5
Side b/c: 4/5
Side a/b: 3/4
Step-by-step explanation:
Answer:
Answer
See answers below
I hope this helps you
:)
What is the discriminant of -2x2 - x-1=0
Answer:
-7
Step-by-step explanation:
In the equation of ax² +bx +c= 0, the discriminant (denoted by D) is [tex]\textcolor{steelblue}{b^{2} - 4ac }[/tex].
-2x² -x -1= 0
Let's identify the values of a, b and c in this equation! It is important to account for the negative sign too.
a= -2, b= -1, c= -1
D
= (-1)² -4(-2)(-1)
= 1 -4(2)
= 1 -8
= -7
Implications of discriminant
The discriminant tells us the number of roots (solutions) the equation hasWhen D < 0, there are no real rootsWhen D= 0, there is one real rootWhen D > 0, there are two real rootswhat is the answer to g(-3) = (-3) squared + 5 (-3)
Answer:
The answer is -3g=(-6)
Hellllpp pleaseee !!!
Decide which of the following is a reasonable answer for 3/7 x 8
Answer:
the answer is 3 3/7 or 24/7
Find the area of the shape.
Either enter an exact answer in terms of π (pi) or use 3.14, for π (pi) and enter your answer as a decimal.
Answer:
Step-by-step explanation:
r = 4 units
Given shape is 3/4 part of circle.
Area of the shape = [tex]\dfrac{3}{4}\pi r^{2}[/tex]
[tex]= \dfrac{3}{4}*3.14*4*4\\\\\\=3*3.14*4[/tex]
= 37.68 square units
write the factored equation of the following 6th degree polynomial with intercept at (0, 576)
Check the picture below on the left-hand-side.
we know the degree of the polynomial will be 6, so the exponents of its factors must add up to 6.
now, we know that at -4 and -1 it has an odd multiplicity, so the exponent of that factor could be either 3 or 1 hmmm so which is it?
well, when the graph cross the axis straight through, it'd be a multiplicity of 1, when it leans a bit on the axis, like it does on -4, the multiplicity will be larger than 1, so then
[tex]\begin{cases} x=-4\implies &x+4=0\\ x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies a\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \stackrel{\textit{we also know that}}{x=0\qquad y=576}\implies a(0+4)^3(0+1)(0-3)^2=576\implies a(64)(1)(9)=576 \\\\\\ 576a=576\implies a=\cfrac{576}{576}\implies a=1~\hfill \begin{array}{llll} 1\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \boxed{(x+4)^3(x+1)^1(x-3)^2=y} \end{array}[/tex]
Check the picture below on the right-hand-side
Need help as soon as possible. I keep doing it and gettin mg it wrong :( 39 points!
abcdefghijklmnopqrstuvwxyz
Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the value of x?
Answer:
I guess 342 is the answer.
Step-by-step explanation:
Because the sum of all angles of a ️(triangle) is 360 degree.
Answer:
Step-by-step explanation:
(isosceles triangle base angles are equal)
(all angles of triangle are equal to 180)
38 + x + x = 180
2x = 180 - 38
2x/2 = 142/2
x = 71
A 135$ deep sea fishing trip was shared equally among five friends. How much did each person pay for the trip?
Answer:
$27
Step-by-step explanation:
135 / 5 = 27
each friend paid $27.
What is the value of the expression?
(12 1/3 + 5 1/3) – (7 4/8 -7 1/6)
Enter your answer in the box as a mixed number
HURRRYYY (no links)