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GrogVix [38]
3 years ago
10

The measure of a side of a square is x units. A new square is formed with each side 6 units longer than the original squares sid

e. Write an expression to represent the area of the new square

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0
To answer this, you will represent the new side length of the square as x + 6.

To find the area you will multiply (x + 6) by (x + 6).

To do this, you will multiply x and x, x by 6 twice and 6 by 6.

See the attached picture for the expression representing the area of the new square.

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A sphere has a surface area of about 999 square millimeters. What is the radius, in millimeters, of the sphere
motikmotik

Given that, a sphere has a surface area of about 999 square millimeters.

Formula to find the surface area of sphere is,

S= 4πr² Where r = radius of the sphere and S= surface area.

Given S= 999 square millimeters.

So, we can write:

4πr² = 999

4 * 3.14 * r² = 999 Since, π = 3.14

12.56 *r² = 999

r^2=\frac{999}{12.56} Divide each sides by 12.56.

r² = 79.53821656

r = √79.53821656 Taking square root to each sides of equation.

r = 8.918420071

So, r = 8.918 Rounded to nearest thousandth.

So, radius of the sphere is 8.918 millimeters.

Hope this helps you!

5 0
3 years ago
What is the sum of 3 consecutive odd numbers is 69 what is the third number in the sequence
Blizzard [7]
The answer to the question is 23.
7 0
2 years ago
A bag contains 6 black marbles and 4 white marbles. Sally takes out a black marble and does not put it back. What is the probabi
Neko [114]

Answer:

\frac{5}{9}

Step-by-step explanation:

Total\ marbles=10\\\\Black=6\\\\White=4

After removing one black marble:

Total\ remaining\ marbles=9\\\\Remaining\ Black=5\\\\P(Black)=\frac{Remaining\ Black\ marbles}{Total\ remaining\ marbles}\\\\P(Black)=\frac{5}{9}

6 0
3 years ago
HELP URGENT BRAINLIEST
nadya68 [22]

Given:

LMN is an equilateral triangle.

LM = LN = MN = 12 cm

To find:

The height of the triangle h.

Solution:

In a right angle triangle,

\sin \theta=\dfrac{Opposite}{Hypotenuse}

\sin (60^\circ)=\dfrac{h}{12}

\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}

Multiply both sides by 12.

\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12

6\sqrt{3}=h

Therefore, the height of the triangle is 6\sqrt{3} cm.

3 0
2 years ago
Find the area of the shaded region. Round your answer to the nearest tenth. 9 m 20 9 m area aboutm? pls explain how.
Alenkinab [10]

Answer:

The area of the shaded region is 17.4 square meters.

Step-by-step explanation:

Since the shaded region in the center equals the remainders of a circle, the area of a square equals its side squared, and the area of a circle equals π times the radius squared, for To determine the area of the shaded region, the following calculations should be performed:

(9 ^ 2) - (π x (9/2) ^ 2) = X

81 - (π x 4.5 ^ 2) = X

81 - (3.141 x 4.5 ^ 2) = X

81 - 3.141 x 20.25 = X

81 - 63.6 = X

17.4 = X

Thus, the area of the shaded region is 17.4 square meters.

5 0
3 years ago
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