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3 years ago

I will give extra points please help

Mathematics

1 answer:

kotegsom [21]3 years ago

7 0

Answer:

z is less than 3/4

Step-by-step explanation:

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Please help I don’t understand

Archy [21]

Answer:

Step-by-step explanation:

when you draw a line through both it show that the are parallel and will never touch.

6 0

2 years ago

Read 2 more answers

Find the sum of the angle measures in the figure below

Mekhanik [1.2K]

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5, hence

sum = 180° × 3 = 540°

6 0

3 years ago

A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la

SOVA2 [1]

Answer:

$8\pi\text{ square cm}$

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

$S=2\pi rh$

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

$4^2 = (2r)^2 + h^2$ ( see in the below diagram ),

$16 = 4r^2 + h^2$

$16 - 4r^2 = h^2$

$\implies h=\sqrt{16-4r^2}$

Thus, the surface area of the cylinder,

$S=2\pi r(\sqrt{16-4r^2})$

Differentiating with respect to r,

$\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})$

$=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})$

$=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})$

Again differentiating with respect to r,

$\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})$

For maximum or minimum,

$\frac{dS}{dt}=0$

$2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0$

$-8r^2 + 16 = 0$

$8r^2 = 16$

$r^2 = 2$

$\implies r = \sqrt{2}$

Since, for r = √2,

$\frac{d^2S}{dt^2}=negative$

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

$S = 2\pi (\sqrt{2})(\sqrt{16-8})$

$=2\pi (\sqrt{2})(\sqrt{8})$

$=2\pi \sqrt{16}$

$=8\pi\text{ square cm}$

4 0

2 years ago

How many 6 digit different locker combinations are possible if no repeat numbers are allowed?

Alex_Xolod [135]

Since we are trying to find the number of sequences can be made without repetition, we are going to use a combination.

The formula for combinations is:

$_n C _k = \dfrac{n!}{k! (n - k)!}$

$n$ is the total number of elements in the set
$k$ is the number of those elements you are desiring

Since there are 10 total digits, $n = 10$ in this scenario. Since we are choosing 6 digits of the 10 for our sequence, $k = 6$ in this scenario. Thus, we are trying to find $_{10} C _6$ . This can be found as shown:

$_{10} C _6 = \dfrac{10!}{6! \cdot 4!} = \dfrac{10 \cdot 9 \cdot 8 \cdot 7}{4!} = \dfrac{5040}{24} = 210$

There are 210 total combinations.

7 0

3 years ago

Are rectangle or garden has a length of 10.25 feet and a width of 6.2 feet. Another rectangle or garden has a length of 20.5 fee

Alinara [238K]

Hello!

The formula for finding area of a rectangle is length × width

1st garden
l = 10.25
w = 6.2

6.2 × 10.25 = 63.55

Area = 63.55 ft²

2nd garden

l = 20.5
w = 12.4

20.5 × 12.4 = 254.2

Area = 254.2 ft²

Divide the bigger area by the smaller area

254.2 ÷ 63.55 = 4

$\framebox {4 times greater}$

6 0

3 years ago