Answer:
Length = 12 feet
Width = 30 feet
Step-by-step explanation:
Let l be the length of the garden and let w be the width:
We have system of equations
2w + l = 54
l = 2w + 6
We substitute 2w + 6 for l
2w + 2w + 6 = 54
4w + 6 = 54
4w = 54 - 6
4w = 48
w = 48/4
w = 12 feet
Width(w) = 12 feet
We find the Length
l = 2w + 6
l = 2(12) + 6
l = 24 + 6
I = 30 feet
Answer:
30a + 18b
Step-by-step explanation:
6(5a+3b)
Just multiply the six in both numbers
( 6x5a) + (6x3b)
= 30a +18b
Hope this helps =)
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
BC/DC = EC/AC , substitute values
3x×5/32 - 5x-5/56 ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
Answer:
B. 3x+5−4x=−(x+8)
Explanation:
3x+5−4x=−(x+8)
Step 1: Simplify both sides of the equation.
3x+5−4x=−(x+8)
3x+5+−4x=−x+−8
(3x+−4x)+(5)=−x−8
−x+5=−x−8
−x+5=−x−8
Step 2: Add x to both sides.
−x+5+x=−x−8+x
5=−8
Step 3: Subtract 5 from both sides.
5−5=−8−5
0=−13
So, there is no solution
Hope this Helps!
The radius of a cone with a curved surface area of 140π cm² and a slant height of 5 cm will be 28 cm.
<h3>What is curved surface area?</h3>
The region with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area is the combined area of the bases and the curved surface. The measurement of a solid's curved surface area is its outer area, which excludes the top and bottom extensions. Surface area of the cylinder that is curved: A right circular cylinder is the solid that results when a rectangle circles around one side and makes a full revolution. The curved surface area of a cylinder (CSA) is also known as the lateral surface area and is defined as the area of the curved surface of any given cylinder having a base radius "r" and height "h".
Here,
Curved surface area of cone=πrl
=140π
l=5 cm
140π=πr*5
r=140/5
r=28 cm
The radius of cone that has 5 cm as slant height and 140π cm² as the curved surface area will be 28 cm.
To know more about curved surface area,
brainly.com/question/1037971
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