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3 years ago

M 2 = a°, m 3 = b°, m 4 = a b a + b a - b (see picture)

Mathematics

1 answer:

Ket [755]3 years ago

6 0

The answer is a+b. Since a triangle is equal to 180 degrees, and you know that angle 2 = a degrees and angle 3 = b degrees then you know that 180 degrees minus angle 2 and angle 3 = angle 1.

It is also known that angle 1 and angle 4 added together will be 180 degrees. Since before we already found out that angle 1 = 180 - angle2 + angle3, we know that angle4 = angle2+angle3

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Find the slope of a pipe that slopes down 3/5 inch per foot

IgorC [24]

Answer:

-1/20

Step-by-step explanation:

8 0

3 years ago

Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u

soldier1979 [14.2K]

$x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }$

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

$p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}$

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

$\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}$

$\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}$

$\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}$

Therefore:

$\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]$

Recall that at t=25, $p(25)=\dfrac { 5800 } {13} \approx 446.15$

Therefore:

$\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009$

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0

3 years ago

Any help would be great

nadya68 [22]

Answer:

Step-by-step explanation:

38=10+13+c

c=38-10-13=15

Hope this helps!

8 0

3 years ago

Solve the following system of linear equation by graphing. <br>4x + 2y = -2 <br>2x – 3y = 9

Viefleur [7K]

If you can graph in slope intercept, your new equations would be: y= -2x-1 and y= 2/3x-3.
Just graph those now since it should be easier.

3 0

2 years ago

A the fraction one half kilogram of flour is packed equally into 8 bags. How much flour is in each bag

marissa [1.9K]

Answer:

0.0625 kg per bag

or 1/16th of a kilogram per bag

Step-by-step explanation:

You'd need to divide the total amount the the number of sections.

In this case, it'd be 0.5 kg/8 bags, resulting in 0.0625 kg of flour per bag.

I hope this helps!

6 0

3 years ago