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2 years ago

Find the area of each figure to the nearest tenth.

Mathematics

1 answer:

Levart [38]2 years ago

8 0

Answer:

20m, 10m, 30, 180, 290, 300, 20. i think.

Step-by-step explanation:

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A Boston subway train traveling at constant speed traveled 10.1 miles in half an hour. What was the speed of the subway train?

Klio2033 [76]

Speed of the train : distance traveled / time of the travel = 10.1/(0.5)=<span>20.2 mph. Hope this helped!</span>

7 0

3 years ago

Read 2 more answers

Find three real numbers x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g

mart [117]

We're minimizing $x^2+y^2+z^2$ subject to $x+y+z=6$ . Using Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)$

with partial derivatives

$\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}$

Set each partial derivative equal to 0:

$\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}$

Subtracting the second equation from the first, we find

$2x-2y=0\implies x=y$

Similarly, we can determine that $x=z$ and $y=z$ by taking any two of the first three equations. So if $x=y=z$ determines a critical point, then

$x+y+z=3x=6\implies x=y=z=2$

So the smallest value for the sum of squares is $2^2+2^2+2^2=12$ when $(x,y,z)=(2,2,2)$ .

8 0

3 years ago

Color blindness is an inherited characteristic that is more common in males than females. Let F represent female, and C represen

malfutka [58]

Answer:

0.513 = 51.3% probability of being a female.

Step-by-step explanation:

We are given the following formula:

$P(F \cup C) = P(F) + P(C) - P(F \cap C)$

In which:

Event F: Female

Event C: Red-green color blindness.

Probability of a Female

We have to find P(F), which is given by:

$P(F) = P(F \cup C) + P(F \cap C) - P(C)$

We are given by:

$P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548$

$P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513$

0.513 = 51.3% probability of being a female.

5 0

3 years ago

Write an equation of the translation of y=3/x with asymptotes of x=7 and y= -5

Afina-wow [57]

The curve given has asymptotes at x=0 and y=0. We wish to move it right 7 units so the asymptote becomes x=7 and down 5 so the asymptote is y=-5

To move a function down 5 units subtract 5 from it. To move it right we subtract 7 from the independent variable (from the x). The new function is y=(3/(x-7))-5

y= (3 over (x-7)) then minus 5

4 0

3 years ago

I need a easy way to do percentage

o-na [289]

It depends on what you are trying to calculate but the most common way I go to find percentage is to multiply by the number in decimal for ie. 50% = .5.

If you are looking for a way to do it quickly in your head I always take find out what 10% is like in the case of 100 it would be 10 so if I want to find 15% I know I can find 10% and if I cut what 10% is in half I will find 5% so likewise if I add what 10%+5% I will end up with 15%. For example, 10% of 100 is 10 half of 10 is 5 and 10+5 equals 15. If you need to find something like 20% or 30% I know that I can find 10% and instead of dividing(cutting it in half) I can multiply by 2 or 3. 10% + 10% =20%

I hope it helps, if you have more questions let me know!

7 0

3 years ago