V = (1/3) pi r^2 h where r is the radius of the circular base and h is the height of the cone.
V = (1/3) pi (15)^2 * 9
V = 675 pi
V = 2120,575 square cm (approx)
Answer:
C is correct.
Step-by-step explanation:
The angles in the triangle have to add up to 180 and 36+36+108 is 180.
Answer:
This has 2 solutions
Step-by-step explanation:
This question has 2 solutions because the answers can be x=1 and x=-4 because 5-8=-3 and you can get 5 with a absolute value and 5-8=-3
<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
___
43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
___
44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
Answer:
-8+12=4 is the correct answer
Thank you