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IRINA_888 [86]
2 years ago
5

Las funciones de costo e ingreso (en miles de dólares) para la famosa tienda de yogurt en Cd. Juarez están dadas por C(x)=(400x+

400)/(x+4) e I(x)=100x, donde x se mide en cientos de unidades. ¿Cuál es el punto de equilibrio para esta tienda?
Mathematics
1 answer:
m_a_m_a [10]2 years ago
4 0
I was going on the phone and I saw the message I sent
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PLEASE HELP ME WITH THIS MATH!!!!!!!!!. pLeAsE i ReAlLy NeEd SoMe HeLp
KonstantinChe [14]
Part 1) we know that
m∠5=44°    m∠11=86°
m∠2=m∠5------> by vertical angles
m∠2=44°
m∠13=m∠11------> by vertical angles
m∠13=86°
m∠12+m∠13=180°-----> supplementary angles
m∠12=180-86-----> m∠12=94°
m∠14=m∠12----> by vertical angles
m∠14=94°
m∠1=m∠11----> by corresponding angles
m∠1=86°
m∠4=m∠1----> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)----> 50°
m∠6=50°
m∠3=m∠6----> by vertical angles
m∠3=50°
m∠8=m∠3----> by corresponding angles
m∠8=50°
m∠8+m∠7=180°-----> supplementary angles
m∠7=180-50----> 130°
m∠7=130°
m∠10=m∠6----> by corresponding angles
m∠10=50°
m∠10+m∠9=180°-----> supplementary angles
m∠9=180-50-----> 130°
m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44° 
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2) 
a) what is m∠TPR?
in the right triangle PTR 
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)----> 60°

the answer Part 2a) is 
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR 
sin 30=PR/TP-----> PR=TP*sin 30-----> PR=14*(1/2)----> 7 in

the answer Part 2b) is
PR=7 in

c)  what is the length in inches of segment TR?
in the right triangle PTR 
cos 30=TR/PT-----> TR=PT*cos 30-----> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d)  what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR-----> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²-----> 7²+7²-----> PQ²=98-----> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

Part 3) Patrice buys a block of wax in the shape of a right rectangular prism. The dimensions of the block are 20 cm by 9 cm by 8 cm.
  <span><span>(a)   </span>What is the volume of the block?

volume of the prism=20*9*8-----> 1440 cm³

the answer Part 3 a) is
the volume of the block is 1440 cm³
<span>
Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.<span>(b)   </span>To the nearest centimeter, what is the volume of the candle?
</span></span>volume of a cylinder=pi*r²*h
diameter=10 cm
radius r=10/2----> 5 cm
h=15 cm
volume of a cylinder=pi*5²*15----> 1177.5 cm³-----> 1178 cm³

the answer Part 3b) is
the volume of the candle is 1178 cm³

<span>Patrice decides to use the remaining wax to create a candle in the shape of a cube.<span>(c)   </span>To the nearest centimeter, what is the length of the side of the cube?
</span>
the remaining wax=volume of the prism-volume of a cylinder
=1440-1178-----> 262 cm³

volume of a cube=b³
where b is the length side of the cube
262=b³-------b=∛262-----> b=6.40 cm-----> b=6 cm

the answer Part 3c) is
the length of the side of the cube is 6 cm
5 0
3 years ago
If quadrilateral RAUF ≅ quadrilateral CLYD, which statement is true?
navik [9.2K]

Answer: CY ~= À

Step-by-step explanation:

6 0
2 years ago
Find the slope of line
Volgvan

Answer:

y=2/4x-3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Malcolm and Theo's families are both traveling to the same vacation resort.
Art [367]

Solution :

Equation for Malcom's family travels after t hours is d = 65 t

From the graph, equation for Theo's family travels after travels after t hours is

$d=\frac{225}{4.5}t$

$d=50 t$

For Malcom's family, speed $= \frac{d}{t}$ = 65 miles per hour

For Theo's family, speed $= \frac{d}{t}$ = 50 miles per hour

Malcom's family traveled faster than Theo's family by

        = (65-50) miles per hour

        = 15 miles per hour

8 0
3 years ago
HELP I WILL GIVE BRANNIEST
krek1111 [17]

Answer:

0.75s , 15ft

Step-by-step explanation:

Use Derivatives,

Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.

\frac{d}{dt}h = \frac{d}{dt}(-16t² + 24t + 6)

\frac{dh}{dt} = -32t + 24

At turning points (max/min),

the gradient is 0 meaning,

\frac{dh}{dt} = -32t + 24 = 0.

t = 24/32 = 3/4

so time = 0.75 second

Substitute this t into the function,

we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft

4 0
3 years ago
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