Answer:
60 square foot
Step-by-step explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden

So,
length = x
width = y = 
The length is reduced by 7 feet and the width becomes half.
New length = 
New width = 
New perimeter = 34 foot
![2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19](https://tex.z-dn.net/?f=2%5B%28x-7%29%2B%5Cfrac%7B1%7D%7B2%7D%2829-x%29%5D%3D34%5C%5C%202%5B2%28x-7%29%2B%2829-x%29%5D%3D2%2834%29%5C%5C2%28x-7%29%2B%2829-x%29%3D34%5C%5C2x-14%2B29-x%3D34%5C%5C2x-x-14%2B29%3D34%5C%5Cx%2B15%3D34%5C%5Cx%3D34-15%5C%5Cx%3D19)
So,
New length 
New width = 
Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot
Answer:
8 animal balloons
Step-by-step explanation:
Using equivalent ratios, or a proportion, you can solve for the number of animal balloons that clown can create in 6 minutes:
Now, set the simplified ratio equal to the time of 6 minutes and the variable of 'b' to equal the number of balloons:

To get equivalent fractions, the numerator and denominator must be multiplied by the same factor:

8 animal balloons in 6 minutes
Answer:
Amplitude.
Step-by-step explanation:
Loudness of a sound wave is proportional to its amplitude of vibration.
Answer: x = 135 degrees and y = 225 degrees.
Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.
Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then





The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.

The hypotenuse can be found using Pythagoras Theorem.



3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are

and

4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,



