If tan (t) = -1.4 what is the tan(-t) ???

Easy points. this is due tomorrow, the formula is given but im not sure how to solve. help? x

ozzi

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

h = height of cone = 10 cm

r = radius of cone/sphere = ??

Volume of cone = 270 pi cm³

Volume of cone is :

$\qquad \sf \dashrightarrow \:v = 270 \pi$

$\qquad \sf \dashrightarrow \: \dfrac{1}{3} \cancel\pi {r}^{2} h = 270 \cancel\pi$

$\qquad \sf \dashrightarrow \:r {}^{2} \sdot10 = 270 \times 3$

$\qquad \sf \dashrightarrow \: {r}^{2} = 810 \div 10$

$\qquad \sf \dashrightarrow \: { {r}^{2} }^{} = 81$

$\qquad \sf \dashrightarrow \:r = \sqrt{81}$

$\qquad \sf \dashrightarrow \:r = 9 \: \: cm$

Now, let's calculate volume of solid sphere with same radius is ~

$\qquad \sf \dashrightarrow \:vol = \dfrac{4}{3} \pi {r}^{3}$

$\qquad \sf \dashrightarrow \:vol = \dfrac{4} {3} \sdot\pi \sdot {9}^{3}$

$\qquad \sf \dashrightarrow \:vol = \dfrac{4} {3} \sdot\pi \sdot 729$

$\qquad \sf \dashrightarrow \:vol = {4} {} \sdot243 \sdot\pi$

$\qquad \sf \dashrightarrow \:vol = 97 2\pi \: \: {cm}^{3}$

So, volume of the solid sphere in terms of pi is :

972 pi cm³

<u>note</u> : the solid figure attached below the cone is a hemisphere, so if the volume of hemisphere is asked then just dovide the result for sphere by 2. that is :

972pi / 2 = 486 pi cm³

4 0

2 years ago

Find the value of x. Then find the angle measures of the polygon.

defon

<h2><em>120+100+120+120+x+x+10=720 (given)</em></h2><h2><em>470+2x=720</em></h2><h2><em>2x=720-470</em></h2><h2><em>x=250/2</em></h2><h2><em>x=125</em></h2><h2><em> HOPE IT HELPS (◕‿◕✿) </em></h2><h2><em> SMILE!!</em></h2>

4 0

3 years ago

Read 2 more answers

A scatter plot with a line is shown below.

n200080 [17]

The answer would be D

4 0

3 years ago

Help a pimp out with this geometry

Katen [24]

Using the Pythagoras theorem since it is given that it is a right angled triangle

let us name the triangle as A, B, C with B as right angle

AB^2 + BC^2 = AC^2 ( Pythagoras theorem)

where AB = 4 , BC = 7 , AC = x

6 0

3 years ago

A concert organizer anticipates selling 4,000 tickets and that a quarter of these will be sold at 20% reduction of original pric

Deffense [45]

Answer:

$ 15.79

Step-by-step explanation:

Let x be the price of full ticket,

∵ Total number of tickets = 4000,

Quarter of 4000 tickets = $\frac{4000}{4}$ = 1000,

Remaining tickets = 4000 - 1000 = 3000,

Since, if the price of each ticket is reduced by 20%,

Then the new price of each ticket = (100 - 20)% of x

= 80% of x

= 0.80x,

According to the question,

The total price of quarters of ticket + total price of remaining tickets = $ 60000

= 0.80x × 1000 + x × 3000 = 60,000

800x + 3000x = 60,000

3800x = 60,000

⇒ x ≈ 15.79

Hence, the price of full ticket is approximately $ 15.79.

7 0

3 years ago