Who knows the answer for this?

elena-s [515]

3:2

the greatest common factor amongst 9 and 6 is 3

6 0

2 years ago

Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
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7 0

3 years ago

Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?

Tasya [4]

Answer:

the probability of getting exactly 2 fours is 0.16

Step-by-step explanation:

The probability of obtaining a number that is four = ¹/₆

The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆

The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways

If the die is tossed five times, the probability of the events is calculated as;

P = 10 x (¹/₆)² x (⁵/₆)³

P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)

P = 10 x 0.02778 x 0.5787

P = 0.16

Therefore, the probability of getting exactly 2 fours is 0.16

7 0

2 years ago

Please answer this question

SVEN [57.7K]

Answer:

The average rate is 35 miles per hour

Step-by-step explanation:

To get from town A to town B takes 3 hours. The distance is 100 miles

To get from town B to town c takes 1 hours. The distance is 40 miles

To find the average rate , we need to find the total distance and divide by the total time

Total distance = 100 + 40 = 140 miles

Total time = 3 hrs + 1 hr = 4 hours

distance = rate * time

140 miles = rate * 4 hours

140/4 = rate

35 = rate

The average rate is 35 miles per hour

7 0

3 years ago

Benny has saved three thousand nine hundred cents over four days from selling lemonade.How many dollars does Benny have?

saw5 [17]

30 Dollars.

Hope this helps please mark this as Brainliest answer,

6 0

3 years ago