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2 years ago

Hii can someone help me with this? thanks! :D

Mathematics

2 answers:

uranmaximum [27]2 years ago

7 0

Answer:

Box A:20 Box B:6 Box C:11

Step-by-step explanation:

Leviafan [203]2 years ago

6 0

Box A:20 Box B:6 Box C:11

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Here are two squares, A and B. A B The length of each side of square B is 4cm greater than the length of each side of square A.

alina1380 [7]

Answer:

144cm²

Step-by-step explanation:

Area of square A Aa = La²

Area of square B Ab= Lb²

If the length of each side of square B is 4cm greater than the length of each side of square A, then;

Lb = La + 4 ... 1

Also if the area of square B is 70cm² greater than the area of square A, then;

Ab = Aa + 70

Since Aa = La² and Ab = Lb²

Lb² = La² + 70 ...2

Substitute 1 into 2;

(La+4)² = La²+70

Expand

La²+8La+16 = La²+80

8La+16 = 80

8La = 80 - 16

8La = 64

La = 64/8

La = 8cm

Since Lb = La + 4

Lb = 8 + 4

Lb = 12cm

Area of square B = Lb²

Area of square B = 12²

Area of square B = 144cm²

4 0

2 years ago

Read 2 more answers

A circle has a circumference of 6. it has an arc of length 1/3

Maksim231197 [3]

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.

π 180°

Converting this into degrees, we multiply ------ by ----------

18 π rad

obtaining: Ф = 10°

3 0

2 years ago

Read 2 more answers

2(6x+3) hurry please thanks

cricket20 [7]

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Step-by-step explanation:

btw the answer is

(12x+6)

5 0

2 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

2 years ago

If the area of a circle is 25 pi, find the length of an arc with a central angle of 240? Any help is appreciated please.

almond37 [142]

Answer:

11.81pi

Step-by-step explanation:

r^2=25pi

r=8.86

length=2pi(8.86)(240/360)

=17.72pi(2/3)

=11.81pi

6 0

2 years ago