It is an isosceles triangle.
Answer:
2(x+4)
Step-by-step explanation:
Tom ate four more pieces of fruit than Janet. Sylvia ate twice as many pieces of fruit as Tom. If x represents the number of pieces of fruit that Janet ate, write an expression to represent the amount of fruit that Sylvia ate.
Janet: (X)
Tom: X+4
Sylvia: 2(X+4)
I started by making listing out who did what. Janet is stated as clearly X, so that's all we need for her.
The question says Tom ate four more pieces of fruit than Janet. This is simple addition since you're adding four to Janet's amount of fruit. Therefore this makes Tom's equation X+4.
Then Sylvia eats TWICE the amount as Tom. In simpler terms, she's doubling the amount of food Tom eats. Doubling something is simply multiplying it by two. Therefore, we take Tom's amount eaten, which we made into an equation in the paragraph before this one, and multiply it by two.
Placing parenthesis around Tom's equation means that that part is solved before its multiplied. We do this because we need to acknowledge that X+4 is its own equation that needs to be clarified/solved before being doubled. So, the answer is 2(X+4)
Answer: the options that apply are
1) w(2w + 4)
5) 2w² + 4w
Step-by-step explanation:
The formula for determining the area of a rectangular garden ins expressed as
Area = length × width
The length of a garden is four more than twice its width, w. The expression for the length would be
Length = 2w + 4
Therefore, the expression that represents the area of the garden would be
w(2w + 4)
Expanding the brackets, it becomes
2w² + 4w
Answer:
angle 3 = angle 7 = 114° ------- because corresponding angles are equal
Answer:
<h2>a)
483.6cm²</h2><h2>b)
850.1 cm³</h2>
Step-by-step explanation:
Given the slant height 's' and its radius 'r' to be 15cm and 8cm respectively.
the total surface of the cone A = πrs+πr² and the volume is expressed as
V = 1/3πr²h
For the surface area of the cone;
Given parameters
radius = 8 cm and slant height s = 15 cm
Total surface area A = π(8)(15) + π(8)²
A = 90π+64π
A = 154π
If π = 3.14
A = 154(3.14)
A = 483.56cm²
A = 483.6cm²
Hence the total surface area of the cone to the nearest tenth is 483.6cm²
For the volume of the cone;
V = 1/3πr²h
Using pythagoras theorem to get the height of the cone;
l² = h²+r²
h² = l²-r²
h² = 15²-8²
h² = 225-64
h² = 161
h = √161
h = 12.69cm
V = 1/3π* (8)² * 12.69
V = 1/3π* 64 * 12.69
V = 1/3*3.14* 64 * 12.69
V = 2550.1824/3
V = 850.06 cm³
V = 850.1 cm³
Hence, the volume of the cone is 850.1 cm³ to the nearest tenth.
