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mestny [16]
3 years ago
9

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:

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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
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