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3 years ago

12

The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet

of fencing will be needed to surround the entire park

1 answer:

Ksenya-84 [330]3 years ago

7 0

Answer:

its 65

Step-by-step explanation:

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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

In ΔOPQ, the measure of ∠Q=90°, OQ = 80, QP = 39, and PO = 89. What ratio represents the cosecant of ∠P?

Serjik [45]

Answer:

cos(O) = 39 / 89

Step-by-step explanation:

Given:

ΔOPQ, where

∠Q=90°

PO = 89

OQ = 39

QP = 80

cosine of ∠O?

cos(O) = Adjacent / Hypotenuse

cos(O) = 39 / 89

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3 years ago

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Natalka [10]

Oh okie so cute lol lol is

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3 years ago

In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of th

Vanyuwa [196]

Answer is 7.66"or 7.7"
cos40=x/10
calculate # 10*cos40
*note .. in your calculator don't forget to 'Degree'
[calculate]
10*cos40
answer is 7.7"

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3 years ago

PLEASE HELP, ITS URGENT

Brums [2.3K]

Answer:

3x+.6y+12

Step-by-step explanation:

DIvide everything by -4:

-12x+2.4y-48

-12x/-4=12x/4=3x

2.4y/-4=-.6y

-48/-4=12

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2 years ago

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