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3 years ago

Find the missing side of the triangle

Mathematics

1 answer:

Oksana_A [137]3 years ago

3 0

Answer:

x = 2 $\sqrt{5}$

Step-by-step explanation:

2² + 4² = x²

4 + 16 = x²

$\sqrt{x^2}$ = $\sqrt{20}$

x = $\sqrt{2^2}$ × $\sqrt{5}$

x = 2 $\sqrt{5}$

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Someone help please:

frozen [14]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

Cone volume:

$V = \frac{\pi r^{2}h}{3}$

r is the radius and h is the inches.

Skinny-size cone:

Radius is r, height h. So

$V_{sk} = \frac{\pi r^{2}h}{3}$

Sharing size:

Radius is now 3r. So

$V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h$

How many times more popcorn?

$r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9$

The sharing cone holds about 9 times more popcorn than the skinny cone.

6 0

3 years ago

A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7). What are the vertices of r(90, O)(WXYZ)?

VashaNatasha [74]

Given:

A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7).

Rule of rotation is $r_{(90^\circ, O)}(WXYZ)$ .

To find:

The vertices after rotation.

Solution:

We know that, $r_{(90^\circ, O)}(WXYZ)$ means 90 degrees counterclockwise rotation around the origin.

So, the rule of rotation is defined as

$(x,y)\to (-y,x)$

Using this rule, we get

$W(3,-5)\to W'(5,3)$

$X(1,-3)\to X'(3,1)$

$Y(-1,-5)\to Y'(5,-1)$

$Z(1,-7)\to Z'(7,1)$

Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).

8 0

3 years ago

What are the coordinates for the park ?

Norma-Jean [14]

Answer: hey panini

Step-by-step explanation:

5 0

3 years ago

1. A beaker holding 1.5 litres of water is placed in a temperature-controlled room so that 120 mL of

Nikitich [7]

Answer:

Oi tudo bem? 

meu nome é Ana Kesia, e qual é o seu nome também? 

Desculpe-me eu Nn consegui responder sua pergunta. 

Mas mesmo assim, agradeço pelos pontos estava precisando. 

tchau, tenha uma Ótima tarde! 

Bons estudos nas suas atividades! ❤♥

6 0

3 years ago

K divided by 21 =15 please help step by step and show work

DIA [1.3K]

K/21=15

multiply 21 by 15

equals 315

k= 315

check answer: 315 divided by 21 equals 15!

7 0

4 years ago