Answer: The area of shaded section is 491.07 cm²
Step-by-step explanation:
Given: Radius of the circle = 25 cm
Now as shown in figure the shaded region is a quadrant.
Therefore the central angle is 90°
Now as we know
Area of sector is given by
where r is radius and 
is central angle
So we have
Hence, the area of shaded section is 491.07 cm²
Answer:
x = ± 2, x = 3
Step-by-step explanation:
note that x = 2 gives
2³ - 3(2)² - 4(2) + 12 = 8 - 12 - 8 + 12 = 0
Hence x = 2 is a root and (x - 2) is a factor
x³ - 3x² - 4x + 12 ÷ (x - 2)
= (x - 2)(x² - x - 6)
= (x - 2)(x + 2)(x - 3), hence
(x - 2)(x + 2)(x - 3) = 0
equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Answer:
135°
Step-by-step explanation:
∠AOB = ∠COB = 90°
∠BOK = 45°
90 + 45 = 135°
Answer:
$5: 7
$1: 10
Step-by-step explanation:
We can write the equation as such.
1. 5x + (x + 3) = 45
2. 6x = 42
3. x = 7
The number of $5 bills is 7, now we can use the x + 3 to solve the amount of $1 bills.
1. x + 3 = ?
2. 7 + 3 = 10
There are 10 $1 bills.
Answer:
Question 2) 96 Question 3) 246
Step-by-step explanation:
Question 2:
The area of one side of the square is 4x4 which is 16 then you know a cube has 6 sides so 16x6 which is 96.
Question 3:
Well we know the two sides are squares with 3x3 which is 9 and then there are two so 9x2 which is 18
Then the front side with dimensions of 19x3 which is 57 and we know there are 4 sides so we do 57x4 which leads us to 228
Then we add 18 and 228 to find 246
