Answer:
19.9 cm²
Step-by-step explanation:
The following data were obtained from the question:
Angle at the centre (θ) = 150°
Diameter (d) = 7.8 cm
Area of sector =.?
Next, we shall determine the radius.
This can be obtained as illustrated below:
Radius (r) = Diameter (d) /2
r = d/2
Diameter (d) = 7.8 cm
Radius (r) =.?
r = d/2
r = 7.8/2
r = 3.9 cm
Finally, we shall determine the area of the sector as follow:
Angle at the centre (θ) = 150°
Radius (r) = 3.9 cm
Pi (π) = 3.14
Area of sector (A) =.?
A = θ/360 × πr²
A = 150/360 × 3.14 × 3.9²
A = 15/36 × 3.14 × 15.21
A = 19.9 cm²
Therefore, the area of the sector is 19.9 cm²
Answer:
0.49
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
match the vocabulary word to its correct definition
1 additive identity
—the number 0 (for the numbers)
2 equation
—a mathematical sentence whose verb is ‘equal’ (=)
3 multiplicative identity
—the number 1 (for the real numbers
4 open sentence
—an equation that contains a variable or variables
5 symmetric property
—when the sides of an equation are interchanged, an equivalent equation is formed ; if a=b, then b=a
Answer:y= 2/3x - 8/3
Step-by-step explanation:
To solve this problem you must follow the proccedure shown below:
1. You have that <span>the pasture must contain 128 square meters and no fencing is required along the river. Then:
A=LxW
A is the area
L is the lenght
W is the width
2. Let's clear W:
W=A/L
W=128/L
3. The formula of the perimeter is:
P=2L+W
P=2L+(128/L)
4. Now, you must derivate:
dP/dL=0
2+(128/L</span>²)=0
<span> L=8 meters
W=A/L
W=128/8
W=16 meters
</span>
