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3 years ago

Assume CD | AB are parallel. Find m2. A) X= 50° (B) x = 70° C) x = 30° D) x = 60

Mathematics

2 answers:

Vanyuwa [196]3 years ago

4 0

Answer:

Step-by-step explanation:

SVETLANKA909090 [29]3 years ago

3 0

Answer:

The answer is A, 50°.

Here, angle CAB= 60°.

In triangle ABC,

60°+70°+ angle ABC= 180°.

angle ABC= 50°.

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Find dimensions of the rectangular box of maximum volume that can be inscribed in a sphere of radius a?

ivolga24 [154]

This is an optimization calculus problem where you would need to know a little bit more about the box, atleast i would think. You would just need to use the volume equation of a sphere as the restrictive equation in the optimization problem. Perhaps there is a way to solve with the given information, but i do not know how to.

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3 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

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3 years ago

Help! anyone SMART PLEASE

bagirrra123 [75]

Answer choice B is the correct answer the rest don't make sense.

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3 years ago

I need help! I don't know how to get the answer or what it is. Can anyone help me it's for a test and I'm on my last attempt?

Greeley [361]

Answer:

See explanation

Step-by-step explanation:

(4)

Using the sine ratio in the right triangle

sinΘ = $\frac{opposite}{hypotenuse}$ = $\frac{7}{9}$ , thus

Θ = $sin^{-1}$ ( $\frac{7}{9}$ ) ≈ 51.1°

(5)

Using the tangent ratio in the right triangle

tanΘ = $\frac{opposite}{adjacent}$ = $\frac{4}{5}$ , thus

Θ = $tan^{-1}$ ( $\frac{4}{5}$ ) ≈ 38.7°

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3 years ago

The first table shows the teams with the four best records halfway through the season. The second table shows the full season re

Allisa [31]

Answer:

Step-by-step eThe first table shows the teams with the four best records halfway through the season. The second table shows the full season records for the same four teams. Which team had the best record during the second half of the season?

Record for the First Half of the Season Record for the Season

Teams Wins Loss Teams Wins Loss

1 26 14 1 59 21

2 27 13 2 27 13

3 25 15 3 25 15

4 24 16 4 24 16

Expert Answer

xplanation:

8 0

3 years ago

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