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2 years ago

You own a small comic book store. 2/3 of your store's floor space is dedicated to

Mathematics

1 answer:

svetoff [14.1K]2 years ago

3 0

Answer:

66.66

Step-by-step explanation:

So for this one all you really have to do is turn 2/3 into a precent which is pretty easy.

This fist step to this would just be dividing 2 and 3

2/3=0.66666666666666666666 (and on and on and on)

Now just move the decimal 2 times to the right

66.6666666666666666666666

And of course round it, and in this case to the hundreth place

66.66

You might be interested in

Please someone help I need this

Sunny_sXe [5.5K]

Answer:

the triangle

Step-by-step explanation:

The perimeter is the sum of the all sides of the shape.

Triangle:

3√147+2√108+2√48+3√75+ 6√12

147=49•3, 108=36•3, 48=16•3, 75=25•3, 12=4•3 that means

√147=7√3, √108=6√3, √48=4√3, √75=5√3, √12=2√3

perimeter=3•7√3+2•6√3+2•4 √3+3•5√3+6•2√3=68√3

Square:

4•1/3•√63=4/3•√9•√7=4√7

Rectangle:

2•1/4√100+2(2√48+4√75)=

5+2(8√3+20√3)=5+56√3

Now, if you use a calculator, you will find that the greatest perimeter is for the triangle shape.

8 0

3 years ago

Choose 3 values for x that would make this inequality true. X - 4<20

Bond [772]

Answer:

x<24

x<22

x<23

Step-by-step explanation:

X - 4<20

move 4 and add it to 20

x<24

same goes for the other solutions

8 0

3 years ago

Determine the range with symbols, will give Brainlist if correct

Ostrovityanka [42]

(-4,6)
Jendbdjxidndjeidjd

6 0

3 years ago

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

7 0

3 years ago

Please help with the question in the picture!

Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

METHOD - I

Sin² C + Cos² C = 1

Cos² C = 1 - Sin² C

Cos² C = $1 - \frac{9}{25}$

Cos² C = $\frac{25 - 9}{25}$

Cos² C = $\frac{16}{25}$

Cos C = $\sqrt{\frac{16}{25} }$

Cos C = $\frac{4}{5}$

As we know that

Tan C = $\frac{Sin C}{Cos C }$

Tan C = $\frac{\frac{3}{5} }{\frac{4}{5} }$

Tan C = $\frac{3}{4}$ 

METHOD - II

Given Sin C = $\frac{3}{5} = \frac{Height}{Hypotenuse}$

therefore,

AB ( Height ) = 3; BC ( Hypotenuse) = 5

∵ ΔABC is Right triangle.

∴ By Pythagorean Theorem-

AB² + AC² = BC²

AC² = BC² - AB²

AC² = 5² - 3²

AC² = 25 - 9

AC² = 16

AC ( Base) = 4

Since,

Tan C = $\frac{Height}{Base}$ 

Tan C = $\frac{AB}{AC}$

Hence Tan C = $\frac{3}{4}$ 

4 0

3 years ago