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3 years ago

A square corner of 16 square centimeters is removed

Mathematics

2 answers:

oee [108]3 years ago

8 0

Option C:

Area of the remaining paper = (3x – 4)(3x + 4) square centimeter

Solution:

Area of the square paper = $9x^2$ sq. cm

Area of the square corner removed = 16 sq. cm

Let us find the area of the remaining paper.

Area of the remaining paper = Area of the square paper – Area of the corner

Area of the remaining = $9x^2-16$

= $(3x)^2-(4)^2$

Using algebraic formula: $a^2-b^2=(a+b)(a-b)$

$=(3x-4)(3x+4)$

Area of the remaining paper = (3x – 4)(3x + 4) square centimeter

Hence (3x – 4)(3x + 4) represents area of the remaining paper in square centimeters.

givi [52]3 years ago

8 0

Answer:

Step-by-step explanation:

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maria [59]

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3 years ago

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andrew-mc [135]

Answer:

A)65°

B)110°

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E)80°

Step-by-step explanation:

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3 years ago

Fifty metal spheres, each with a radius of 2 cm, are melted. The melted solution is poured into a box. What is the volume of all

bazaltina [42]

Answer:

<h2>The first option is correct 1675.5 cm^3</h2>

Step-by-step explanation:

Step one:

we are given the radius as

r=2cm, and the number of spheres is 50 in numbers

let us find the volume of one sphere and multiply the area by 50 to get the volume of the 50 spheres

Step two:

$volume=4/3 \pi r^3$

$volume=4/3*3.142 *2^3\\\\volume=100.5/3\\\\volume=33.5$

The volume of one sphere is 33.5in^3

Hence the volume of the 50 spheres will be

=33.5*50

=1675.7cm^3 approx.

6 0

4 years ago

1. What is the volume of the following cone? *<br> 2.5 mm<br> 1<br> 12.6 mm<br> 1

mafiozo [28]

Answer: V=πr2h 3

=π·2.52·12.6 3

=82.46681

Step-by-step explanation:

3 0

3 years ago

In a circle, a 90degrees sector has area 144pi in2. What is the radius of the circle?

RUDIKE [14]

Answer:

The radius of the circle is 24 inches.

Step-by-step explanation:

Central angle in a sector is 90 degrees

Area of a sector is $144\pi\ \text{inch}^2$

The area of sector is given by the formula as follows :

$A=\dfrac{\theta}{360}\pi r^2$

r is the radius of circle

$r=\sqrt{\dfrac{360 A}{\theta \pi}} \\\\r=\sqrt{\dfrac{360 \times 144\pi }{90\times \pi}} \\\\r=24\ \text{inch}$

So, the radius of the circle is 24 inches.

6 0

4 years ago