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
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:
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,