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anygoal [31]
3 years ago
12

The original rectangle has a perimeter of 16

Mathematics
1 answer:
zaharov [31]3 years ago
7 0

As we can see that the sides of the rectangle have been doubled

6.2 ft changed to 12.4 ft

Now when the sides have been doubled

the Perimeter will also be doubled

So the perimeter of new rectangle should be the double the perimeter of old rectangle

So perimeter of new rectangle = 2 (16 ) = 32 feet

Option C is correct

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The radius is half of the diameter so if the diameter is 3 then the radius is 1.5. ANSWER:1.5 what I did was just divide 3by 2 to get half of 3.
8 0
3 years ago
Solve the equation -3(y-5)=24
ioda
-3(y-5) = 24...distribute through the parenthesis
-3y + 15 = 24....subtract 15 from both sides
-3y = 24 - 15
-3y = 9...divide both sides by -3
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3 0
3 years ago
You are dividing 30 tomato plants into equal rows for planting. how many possibilities are there?​
Ierofanga [76]

Answer:

6,5 5,6 3,10 10,3 1,30 30,1 2,15 15,2 = 8 possibilities

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
TRIANGLE ABC IS DILATED BY A SCALE FACTOR OF 0.5 WITH THE ORIGIN AS THE CENTER OF DILATION, RESULTING IN THE IMAGE TRIANGLE A'B'
const2013 [10]

Answer: The length of the line B'C" is 1 unit.

Step-by-step explanation:

Given: Triangle ABC is dilated by a scale factor of 0.5 with the origin as the center of dilation , resulting in the image Triangle A'B'C'.

If A (2,2), B= (4,3) and C=(6,3).

Distance between (a,b) and (c,d): D=\sqrt{(d-b)^2+(c-b)^2}

Then, BC =\sqrt{(3-3)^2+(6-4)^2}

\\\\=\sqrt{0+2^2}\\\\=\sqrt{4}\\\\=2\text{ units}

Length of image = scale factor x length in original figure

B'C' = 0.5 × BC

= 0.5 × 2

= 1 unit

Hence, the length of the line B'C" is 1 unit.

5 0
3 years ago
This is URGENT. Please answer this question including every step thanks.
Likurg_2 [28]
(a) x = 4  
First, let's calculate the area of the path as a function of x. You have two paths, one of them is 8 ft long by x ft wide, the other is 16 ft long by x ft wide. Let's express that as an equation to start with. 
A = 8x + 16x
 A = 24x 
 But the two paths overlap, so the actual area covered will smaller. The area of overlap is a square that's x ft by x ft. And the above equation counts that area twice. So let's modify the equation by subtracting x^2. So:
 A = 24x - x^2 
 Now since we want to cover 80 square feet, let's set A to 80. 80 = 24x - x^2 
 Finally, let's make this into a regular quadratic equation and find the roots.
 80 = 24x - x^2
 0 = 24x - x^2 - 80
 -x^2 + 24x - 80 = 0 
 Using the quadratic formula, you can easily determine the roots to be x = 4, or x = 20. 
 Of those two possible solutions, only the x=4 value is reasonable for the desired objective. 
 (b) There were 2 possible roots, being 4 and 20. Both of those values, when substituted into the formula 24x - x^2, return a value of 80. But the idea of a path being 20 feet wide is rather silly given the constraints of the plot of land being only 8 ft by 16 ft. So the width of the path has to be less than 8 ft (the length of the smallest dimension of the plot of land). Therefore the value of 4 is the most appropriate.
5 0
3 years ago
Read 2 more answers
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