A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 15 feet more than the length of the shortest side. Find the dimensions if the perimeter is 143 feet.

Answers

Answer 1

Answer:

To find the dimensions of the flower bed, we can set up an equation based on the given information. Let’s assume the length of the shortest side is x. According to the problem, one side is twice the length of the shortest side, which means it is 2x, and the third side is 15 feet more than the length of the shortest side, which means it is x + 151.

The perimeter of a triangle is the sum of all its sides. In this case, we have:

x + 2x + (x + 15) = 143.

Simplifying the equation, we get:

4x + 15 = 143.

Subtracting 15 from both sides of the equation, we have:

4x = 128.

Dividing both sides of the equation by 4, we find:

x = 32.

Now that we know the value of x, we can find the lengths of all three sides:

Shortest side: x = 32 feet.

Side twice the length of the shortest side: 2x = 64 feet.

Third side: x + 15 = 47 feet.

Therefore, the dimensions of the flower bed are approximately 32 feet, 64 feet, and 47 feet.

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Solve the inequality:3p-6>21

Answers

3p - 6 > 21
3p >27
p > 9
Hope this helps!

The answer is p>9 , sorry if it's hard to read

15.Identify the coordinates of point C after a translation with rule (x + 3, y 2).C' = (5, 7)

C' = (6, 6)

C' = (2, 0)

C' = (0, 2)

Answers

Since the original coordinates are (-3,4), you can start finding the prime coordinates by adding 3 to the x-value, and subtracting 2 from the y-value. This will get you (-3+3, 4-2) This will come out to (-0, 2), so your answer will be...

D. C'= (0,2)

Answer:

Point A is at (2,-3). Use the translation rule to determine the image of A. (x,y) --> (x+3 , y-1) *

Step-by-step explanation:

What is 2.9% of 1000

Answers

' 2.9% ' means ' 0.029 '

' of ' means ' times '

' 2.9% of 1,000 ' means ' 0.029 x 1,000 '

0.029 x 1,000 = 29

1000 x 2.9 %= 29. This is how my math teacher told me how to do it.

A 150 Ohm electric toaster is powered with a voltage of 120 v, what is its current intensity

Answers

Intensity = Voltage ÷ Electerical Resistance

Intensity = 120÷ 150

Intensity = 12/15

Intensity = 4×3/5×3

Intensity = 4/5

Intensity = 0.8 Amp

If angle 1 and angle 7 are vertical angles and angle 1 and angle 2 are supplementary adjacent and the measure of angle 2 is 123 degrees. what is the measure of angle 7?

Answers

Answer: m∡7 = 57° .
_________________________________

Explanation:
____________________
m∡7 = m∡1 ; SInce these angles are vertical; and vertical angles are congruent.

m∡1 + m∡2 = 180 ; since these angles are supplementary; and by definition; supplementary angles "add up" to 180.

Given: m∡2 = 123 ;

m∡1 + 123 = 180 ;

Since m∡1 = m∡7 ; and we wish to find: "m∡7" ; we can rewrite as:
_______________________________
m∡7 + 123 = 180 ; solve for "m∡7" ;
_______________________________
Subtract "123" from EACH SIDE of the equation:
_________________________________________
m∡7 + 123 - 123 = 180 - 123 ;
_________________________________________
m∡7 = 57° .
_________________________________________

What is |5.4|?
What is the opposite of 10?

Answers

Answer:

-10

Step-by-step explanation:

Answer:

1. 5.4

2. The additive inverse is the negative value, -10.

The multiplicative inverse (reciprocal) is 1/10.

Step-by-step explanation:

1. Since the value within the absolute value is not negative then the value remains the same.

2, The opposite of positive 10 could be -10. The reciprocal is 1/10.

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