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sashaice [31]
2 years ago
5

What is the simplified form of each expression?

Mathematics
2 answers:
ddd [48]2 years ago
6 0

Answer:

1. A. 12 x

2.A. 16x

3. B. 12+8y

Rama09 [41]2 years ago
3 0

Answer:

Question 1: 12x

Question 2: 16x

Question 3: 12x+8y

Step-by-step explanation:

You might be interested in
1.) Determine whether each number is irrational or rational.
nalin [4]

Answer:

1/3 is rational its nonterminating but it repeats

6.99999 rational its nonterminating and it repeats also

7.48331 is irrational because its non terminnating  and it does not repeat

Step-by-step explanation:

8 0
3 years ago
What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm
alekssr [168]
We know that

[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²

[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm

the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
8 0
3 years ago
Day 4: As a landscaper, one of your clients wants a rectangular garden in which the length is five feet
liberstina [14]

Answer:

The Area of Rectangular Garden is 1044  feet²    

Step-by-step explanation:

According to question

The perimeter of the garden = 82 ft

Let the length be L ft

The width be W ft

Now as per question

L = 5 + ( 2× W )

∵ Perimeter of Rectangle = 2 × ( Length + Width )

Or , Perimeter of Rectangle = 2 × ( L+ W )

Or, 82 = 2 × ( L+ W )

Or,  82 = 2 × [ 5 + ( 2 ×W ) + W ) ]

Or,  82 = 2 × ( 5 +3W )

Or,  41 = 5 + 3W

Or, 41 - 5 = 3W

So, 3W= 36

∴    W = \frac{36}{3} = 12 feet

I.e Width = 12 feet

And L = 5 + ( 2× W )

Or, Length = 5 + 24 = 29 feet

Now The Area of Rectangle = Length × width

So, The Area of Rectangle = 29 ft × 36 ft

The Area of Rectangle is 1044 feet²

Hence The Area of Rectangular Garden is 1044  feet²        Answer

4 0
3 years ago
MARKING YOU BRAINLIST AND 5 STARS! A tire from Karen's car is shown below. Which is the closest to the distance traveled, in fee
Yuki888 [10]

Answer:

18.86 feet

Step-by-step explanation:

One rotation of the tire is equal to the circumference of the tire

The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd

where

π = 22/7

d = diameter

The size of one revolution = 2 x 22/7 = 44/7 feet

The distance covered in one rotation of the tire is 44/7 feet

The distance covered in 3 rotations = (44/7) x 3 = 18.86 feet

3 0
2 years ago
Write the equation of the line that contains the points (4, −7) and (1, 5). The slope of the line that contains the points (4, −
deff fn [24]
Slope = (5+7)/(1-4) = 12/-3 = -4

slope = -4

y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9

equation
y = -4x + 9
4 0
2 years ago
Read 2 more answers
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