Answers:
The 4:3 tv has the larger areaThe 4:3 tv has width = 25.6 inches and height = 19.2 inches. The area is exactly 491.52 square inchesThe 16:9 tv has width = 27.8904 inches (approximate) and height = 15.68835 inches (approximate). The area is approximately 437.55 square inches.================================================
Explanation:
Let x be some positive real number
The 4:3 aspect ratio means the width (horizontal) portion of the tv is 4x inches while the height (vertical) portion is 3x inches
The ratio 4x:3x reduces to 4:3 after dividing both parts by x.
The 4x by 3x rectangle has the diagonal 32 inches as the instructions state. The tv size is always measured along the diagonal.
So effectively, we have two identical right triangles with legs 4x and 3x, and hypotenuse 32.
Apply the pythagorean theorem to find x
a^2+b^2 = c^2
(4x)^2+(3x)^2 = 32^2
16x^2+9x^2 = 1024
25x^2 = 1024
x^2 = 1024/25
x = sqrt(1024/25)
x = 32/5
x = 6.4
Recall that x is positive, so we ignore the negative square root here.
This 4x by 3x tv then has dimensions of
horizontal width = 4x = 4*6.4 = 25.6 inchesvertical height = 3x = 3*6.4 = 19.2 inchesThese values are exact.
The area is therefore base*height = 25.6*19.2 = 491.52 square inches
This of course only applies to the 4:3 tv that's 32 inches in diagonal.
-------------------------------
Now onto the 16:9 tv.
We'll follow the same steps as the last section. We'll use y this time
The 16:9 ratio becomes 16y:9y
a^2+b^2 = c^2
(16y)^2 + (9y)^2 = 32^2
256y^2 + 81y^2 = 1024
337y^2 = 1024
y^2 = 1024/337
y = sqrt(1024/337)
y = 1.7431510742491 which is approximate
y = 1.74315
So,
horizontal width = 16y = 16*1.74315 = 27.8904vertical height = 9y = 9*1.74315 = 15.68835area = base*height = 27.8904*15.68835 = 437.55435684the area is approximate since the width and height are approximate. It rounds to about 437.55 square inches
-------------------------------
To recap, we found the following:
The 4:3 tv has width and height of 25.6 inches and 19.2 inches respectively. Those values are exact. The area is exactly 491.52 square inches.The 16:9 tv has width and height of approximately 27.8904 inches and 15.68835 inches respectively. The area is approximately 437.55 square inches.The 4:3 tv has larger area.Q.No.1: A subset of {1,7,8 } is:
Step-by-step explanation:
you only need to provide an example ?
if your question here is complete, then the full set is
{1,7,8}
and these are all possible subsets (pick any one you like) :
{1}, {7}, {8}, {1,7}, {1,8}, {7,8}
and formally also
{}, {1,7,8}
the empty set is a subset of every set, and the whole set itself is also formally a subset.
In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?
Answer:
m<N, m<L, m<M
Step-by-step explanation:
The angle that sees the longest side length has the bigger angle measurement
so the angles would be listed as following :
from smallest to largest :
m<N, m<L, m<M
Solve the simultaneous equations
x + 7y = 15
x + 2y = 5
Answer:
x=1, y=2
Step-by-step explanation:
x + 7y = 15
x + 2y = 5
Subtract the two equations
x + 7y = 15
-x - 2y =- 5
------------------------
0x +5y = 10
Divide by 5
5y/5 = 10/5
y =2
Now find x
x+2y = 5
x +2(2) = 5
x +4 = 5
Subtract 4 from each side
x-4+4 = 5-4
x = 1
Someone Helppp me please
Answer:
Step-by-step explanation:
diameter = 3.7
radius = diameter/2
=3.7/2
=1.85
area of circle = πr^2
=π*(1.85)^2
=3.4225π m^2
the following two-way table describes students after school activities. find the probability that a randomly selected is in music/drama.
Answer:
30=7+13+5=
30=25+p
p=30-25=
p=5
someone that could help me with this?
Answer:
. ...................... ........
Find the surface area and the volume of the composite figure
Answer:
See belowStep-by-step explanation:
Surface area of the figure:
S = 2(lw + lh + wh) + 1/2(4πr²) - πr² = 2(lw + lh + wh) + πr² S = 2(6*10 + 6*6 + 6*10) + 3.14*(6/2)² = 340.26 cm²Volume of the figure:
V = lwh + 1/2(4/3πr³) = lwh + 2/3πr³ V = 6*10*6 + 2/3*3.14*(6/2)³ = 416.52 cm³Answer:
> S = 340.26 cm²
> V = 416.52 cm³
Step-by-step explanation:
We need to find the surface area and the volume of the composite figure . The given figure is made up of a cuboid and a hemisphere . Let's Calculate them ,
Finding the Surface area :-
> S = 2(6*10 + 6*6 + 6*10) + 3.14*(6/2)
> S = 340.26 cm²
Volume of the figure:
> V = lbh + 1/2(4/3πr³)
> V = 6*10*6 + 2/3*3.14*(6/2)³
> V = 416.52 cm³
For EASY BRAINLIEST!!!
Answer:
A.
B.
C.
D.
On both questions
Answer:
8a) 3x
8b) 3 × x
8c) (2/3)x
8d) x/2
8e) 1/x
9a) 4x - 7
9b) x + 1/x
9c) 5(x + 2)
9d) x/(x + 4)
9e) (x/8) + x
Please help will be marked as brainliest if correct
Answer:
I think the answer is three.
Which equation is a function of x?
Answer:
X=5
x=y2+9
x2=y
x2=y2+16
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15) what is the distance from the school to the theater
Answer:The distance from the school to the theater = 18 units
Step-by-step explanation:
Distance between (a,b) and (c,d) = [tex]\sqrt{(d-b)^2+(c-a)^2}[/tex] units.
Given: On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15).
So, distance between (-6, 3) and(-6, -15) = [tex]\sqrt{(-6-(-6))^2+(-15-3)^2}[/tex]
[tex]=\sqrt{0^2+(-18)^2}\\\\=\sqrt{18^2}\\\\=18\ units[/tex]
Hence, the distance from the school to the theater = 18 units
What is the formula of a²—b²?
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { {a}^{2} - {b}^{2} = (a + b)(a - b)}}}}}}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
[tex] \sf {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
This is the required formula.
Find RS. See image below
Step-by-step explanation:
since both cords are equal, so are arc length
4x + 18 = 7x - 51
3x - 21 = 0
x = 7
arc RS = 4(7) + 18
Math help please due TODAY
Answer:
a. Vertically opposite angles
b. corresponding angles
c. Exterior angles
d. Supplementary angles
e. 40 degree
f. 40 degree
Step-by-step explanation:
Answer:[tex]\color{yellow}{}[/tex]
Vertically opposite AnglesCorresponding AngleExterior AnglesSupplementary Angles40 degree40 degreeA system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?
A- y = –4x + 5
B- y = 4x – 5
C- 2y = 8x – 10
D- –2y = –8x – 10
Answer:
D: 2y = 8x - 10
Step-by-step explanation:
A: y = 4x + 5. This has a slope of -4 Yes it could work.
B: y = 4x - 5. No It does not work
C: 2y = 8x - 10. The slope is 8/2 = 4. So No it could not work.
D: -2y = 8x - 10. The slope is 8/-2 = -4. Yes This Does work! :)
PLZZZ HELP
Find the average rate of change of h(x) = 2x² – 7x from x=2 to x=5.
Simplify your answer as much as possible.
Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:
[tex]r = \frac{h(5) - h(2)}{5 - 2} = \frac{(2*5^2 - 7*5) - ( 2*2^2 - 7*2)}{3} = \frac{15 - (-6)}{3} = \frac{21}{3} = 7[/tex]
The average rate of change of h(x) in the given interval is 7.
Please help me with this ASAP
2 3/4 ÷ 4/2
Answer:
11/8
Step-by-step explanation:
2 3/4 ÷ 4/2
11/4 ÷ 4/2
11/4 × 2/4
22/16
11/8
Answer:
.75 i think but check my explanation first
Step-by-step explanation:
if the problem is 2(3/4 ÷ 4/2) it's .75. But if 2 3/4 is a mixed fraction, it should be 1.375.
(PLEASE HELP)
Find measurement for angles for 1 and 2
Answer:
Angle 1 is = 54° ( vertically opposite angles)
Angle 2 is = Angle 1 (corresponding angles are equal)
therefore Angle 2 = 54°
Evaluate 13 - 0.75w+8x when w=12 and x= 1 over 2
Answer:
8
Step-by-step explanation:
Given:
13 - 0.75w + 8x
where,
w = 12
x = 1/2
13 - 0.75w + 8x
Substitute the value of w and x into the equation
= 13 - 0.75(12) + 8(1/2)
= 13 - 9 + 8/2
= 13 - 9 + 4
= 8
Therefore,
13 - 0.75w + 8x = 8
[tex]x^{2} +2000+15637=56 \\\\what is X\\\\PLEASE HELP[/tex]
Answer:
not defined
Step-by-step explanation:
[tex] {x}^{2} = 56 - 2000 - 15637 \\ {x}^{2} = - 1758[/tex]
can someone please help
Answer:
a
Step-by-step explanation:
When there is no decomposition, the plant is deficient in minerals.
pls answer
. its urgent pls
an
Answer:
a
Step-by-step explanation:
Answer:
option c
Step-by-step explanation:
[tex]\frac{-4}{3} * y = \frac{-3}{4}[/tex]
shift -4/3 to the right hand side . when it shifts to other side miltiplication changes to division
y = [tex]\frac{-3}{4} /\frac{-4}{3}[/tex]
now do reciprocal
y = [tex]\frac{-3}{4} *\frac{3}{-4}[/tex]
y = [tex]\frac{-9}{-16}[/tex]
minus and minus gets cancel
y = [tex]\frac{9}{16}[/tex]
y = [tex]\frac{(3)^2}{(4)^2}[/tex]
y = [tex](\frac{3}{4})^2[/tex]
Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades. De los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos. De los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos. Proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta. ¿Quién ganará?
Answer:
Carlos.
Step-by-step explanation:
Dado que Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades, y de los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos, mientras que de los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos, si ambos proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta, para determinar quién ganará se deben realizar los siguientes cálculos:
Simón: 527 SEGUNDOS
A: 31 + 62 + 93 + 124 + 155 + 186 + 217 + 248 + 279 + 310 + 341 + 372 + 403 + 434 + 465 + 496 + 527
B: 17 + 34 + 51 + 68 + 85 + 102 + 119 + 136 + 153 + 170 + 187 + 204 + 221 + 238 + 255 + 272 + 289 + 306 + 323 + 340 + 357 + 374 + 391 + 408 + 425 + 442 + 459 + 476 + 493 + 510 + 527
Carlos: 252 SEGUNDOS
A: 36 + 72 + 108 + 144 + 180 + 216 + 252
B: 42 + 84 + 126 + 168 + 210 + 252
Por lo tanto, el ganador será Carlos.
Help please ASAP ASAP ASAP
Answer:
-3/2
Step-by-step explanation:
simply make y the subnext of the equation
Answer:
Step-by-step explanation:
3x - 2y = 18
-2y = - 3x + 18
y = 3/2 x - 9
slope of a parallel line would be M = 3/2
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)?
Subtract 7 from –5.
Multiply 8 and 3.
Divide 7 by 2.
Add 6 and –5.
do you mean
6+(-5-7)/2-8(3)?
-5-7= -12
6+-12/2-8(3)
8(3)=24
6+-12/2-24
-12/2=-6
6+-6-24
6+-6=0
0-24= 24
Answer:
Subtract 7 from –5.
Step-by-step explanation:
which linear inequality is represented by the graph
Answer:
Step-by-step explanation:
i dont know this sfjghfhbkdvnmds
Answer:
80
Step-by-step explanation:
Round 9.82
9.82 = 10
8 × 10 = 80
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Abel has a piece of string that is 7/10 of a meter long. He cuts off 1/2 of a meter of string. How many meters of string does Abel have now?
Answer:
1/5
Step-by-step explanation:
7/10-1/2=1/5
hope it helps:)))
Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roots is -4 . 3 The sum of the roots is 3 . The sum of the roots is -9 .
Answer:
Option : The product of the roots is - 4
Step-by-step explanation:
[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]
Therefore the roots are -4 and 1
The product of the roots are -4 x 1 = -4
Use the drop-down menus to answer the questions. What is the value of 6 in 16,000 after dividing by 1,000? What is the value of 9 in 1,900 after dividing by 100? What is the value of 8 in 81,500 after dividing by 10?
Answer:
if you divide 1000, 100 and 10 in 16000 , 1900 and 81500 then the value of 6 and 9 is at once place and value of 8 is at thousand place
Answer:
6, 9 & 8150
Step-by-step explanation:
16,000 ÷ 1000 is 6
1900÷100 is 9
81,500÷10 is 8150