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3 years ago

11

In the diagram, m∠1=(6x+12)° m∠1 = (6x+12)° and m∠2= (9x−4)°

1 answer:

Svetlanka [38]3 years ago

8 0

X=16/3 or 5.33333 based on the fact that the angles are congruent

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Which scenario involves the value of greatest magnitude?

Sonbull [250]

Answer:

D. A withdrawal of $30 from a bank account

Step-by-step explanation:

When it says magnitude it doesn't matter if it's a positive or negative number.

So it's just asking which number is the greatest which is 30.

I hope my explanation makes sense and helps you out.

5 0

3 years ago

A telemarketer spent 7 hours during her 8-hour shift calling up new clients. What percentage of her time was spent on things oth

padilas [110]

1/8 of her time was spent on things other than working with clients. 1/8 = 0.125 * 100 = 12.5%

6 0

2 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

3 years ago

Find the quotient 4/5 ÷3

Deffense [45]

$\frac{4}{5}$ divided by 3 = 4/15

Hope I Helped

4 0

3 years ago

Read 2 more answers

A lawn company advertises that they can spread 7,500 square feet of grass seed in 2 1/2

den301095 [7]

If you would like to know the number of square feet of grass seeds that the lawn company can spread per hour, you can calculate this using the following steps:

7500 square feet ... 2 1/2 hours = 5/2 hours
x square feet = ? ... 1 hour

7500 * 1 = 5/2 * x
7500 = 5/2 * x /*2/5
x = 7500 * 2 / 5
x = 3000 square feet

The correct result would be 3000 square feet.

7 0

3 years ago

Read 2 more answers