Answer:
9.3 inches
Step-by-step explanation:
The computation of the radius of the spinner be given below:
Let us assume the same be x
So
We know that
Total area of the sector = one-sixth of the total area of the spinner
Given that
45.1 = 1 ÷ 6 × π × r^2
r^2 = 45.1 × 6 ÷ π
r^2 = 86.1
r = 9.279
= 9.3 inches
If you're factoring, your answer is
(4x - 3)(4x + 5)
You'll work it out this way:
16x^2 + 8x - 15
Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:
16x^2 + 20x - 12x - 15
From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:
4x(4x + 5) - 3(4x + 5)
Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to
(4x - 3)(4x + 5)
Answer:
Step-by-step explanation:
(i) Area of ABCD = (base1+base2)*height/2
= (6+12)*4/2 = 36 cm2
(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3
(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25
= 72 + 250 + 150 + 300
= 772cm2
13 and 14 because 13 squared is 169 and 14 squared is 197
2 = 47 degrees
1 = 133 degrees
3 = 133 degrees
2 is opposite of x, so the angles are equal. Angle 2 is 47 degrees
A straight line is 180 degrees. Subtract 47 from 180 to get 133. Therefore, Angle 1 is 133 degrees. Because Angle 3 is opposite of Angle 1, it has the same angle as Angle 1. So Angle 3 is 133 degrees.
