Answer:
15cm
Step-by-step explanation:
Answer:
Area of the shaded area = 60 m^2
Step-by-step explanation:
Remark
I don't think you need the 40 degrees for anything.
Formula
Area of Shaded part = area of the rectangle - area of the triangle
Solution
<u>Area of the Rectangle</u>
L = 12 meters
W = 10 meters
Area = 12 * 10
Area = 120 m^2
<u>Area of the triangle</u>
Area = 1/2 b * h
b = 12
h = 10
Area = 1/2 * 12 * 10
Area = 120/2 = 60
Area of the shaded area
120 - 60 = 60
Your answer is 10^(- 4).
Think about how exponents with a base 10 work. 10^1 = 10, 10^2 = 100, 10^3 = 1000. It's just add a zero to the right side as you go up.
Then think about 10^0. Anything to a zero power is 1. Only way to go is into negative exponents now. If for positive exponents on 10 we add a zero to the right side, then for negative exponents we add them to the left. Only difference is we have a decimal.
10^(- 1) = 0.1
10^(- 2) = 0.01
10^(- 3) = 0.001
And then your answer
10^(- 4) = 0.0001
Hopefully that explanation makes sense. Exponents can be rough to explain when you're not face-to-face or using some sort of live animation to talk through it. If you're still confused, I'd suggest talking to your instructor.
hello :<span>
<span>an equation of the circle Center at the
A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a = -7 and b = -1 (Center at: A(-7,-1) )
r = AP.... P(8,7)
r² = (AP)²
r² = (8+7)² +(7+1)² =225+64=289 ...... so : r = 17
an equation of the circle that satisfies the stated conditions.
Center at </span></span>A(-7,-1), passing through P(8, 7) is :
(x+7)² +(y+1)² = 289
The point (-15,y ) <span>lies on this circle : (-15+7)² +(y+1)² = 289....(subsct : x= -15)
(y+1)² = 225
(y+1)² = 15²
y+1 = 15 or y+1 = -15
y = 14 or y = -16
you have two points : (-15,14) , (-15, -16)</span>
Answer:
The dimension of the sandbox is (2x+1) by (x - 3)
Step-by-step explanation:
It seems the complete question will be:
The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.
Step-by-step explanation:
From the question, the given expression is 2X^2-5x-3. This can be rewritten as

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.
Factorizing the expression
, we get



Hence, the dimension of the sandbox is (2x+1) by (x - 3)