Please Help!<br><br> Which Triangles are similar and why?

6,12,11,8,4,1,11,4 median

WARRIOR [948]

Answer:

7

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How does the unit circle allow the trigonometric functions to be defined for all real numbers instead of just for acute angles?

Molodets [167]

Every point in the unit circle is identified either by its coordinates $(x,y)$ or by the angle it forms with the x-axis, $\alpha$ .

The trigonometric functions associate with every angle $\alpha$ and the correspondant $(x,y)$ coordinates the two values

$\cos(\alpha)=x,\quad\sin(\alpha)=y$

This procedure can be done for every angle $\alpha$ , so you don't have to work with acute angles only.

8 0

3 years ago

Jessica earns 800 each month working a part time job. she wants to save a total of 2,400 for collage over a one- year period. wh

grigory [225]

Answer:

25%

Step-by-step explanation:

Given parameters:

Amount earned by Jessica per month = 800

Total savings target per year = 2400

Unknown:

Percentage of savings = ?

Solution:

The total earning per year will be the amount earned per month multiplied by the total number months;

Amount earned in a year = 12 x 800 = 9600

Let the percentage of savings per year = y%

Now;

2400 = $\frac{y}{100}$ x 9600

y = 25%

8 0

3 years ago

What is 1 /7 as a decimal rounded to 3 decimal places?

Nostrana [21]

Answer:

0.143

Step-by-step explanation:

You need to convert 1/7 to have a denominator of either 100 or 10. We can do 100.

1/7 = ?/100

then you need to divide 100/7 to find the scale factor which in this case is 14.286

then you can insert it into the equation

1/7 = 1 * 14.286/100

you end up with

14.286/100

then you can dived the two

0.14286 is what you end up with

but since it says rounded to the 3rd decimal place you go to the 3rd which is 2.

To round it you look at the 4th number which is 8.

<em>5 and above give it a shove up</em>

So now its 0.143

Hope this helped :)

7 0

3 years ago

The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c

Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 $\rm{in^3}$

Step-by-step explanation:

The linearization or linear approximation of a function $f(x)$ is given by:

$f(x_0+dx) \approx f(x_0) + df(x)|_{x_0}$ where $df$ is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh$

Taking $R_0=1.5$ inches and $h=3$ inches and evaluating the partial derivatives we obtain:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh$

substituting the values and taking $dx=0.1$ and $dh=0.3$ inches we have:

$V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3} + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}$

Therefore the change in volume is estimated to be 17.20 $\rm{in^3}$

4 0

3 years ago

Please Help! Which Triangles are similar and why?