Answer:
127°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180°(n - 2) ← n is the number of sides
here n = 5 ( Pentagon), hence
sum = 180° × 3 = 540°
To find the fifth angle subtract the sum of the 4 given angles from 540
angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°
Answer:
D
Step-by-step explanation:
The formula for volume of cone is 
Where
V is the volume
r is the radius of the circular base
h is the height of the cone
<em>In the diagram shown, we can clearly see that height is 12, radius is 9. We can simply plug them into the formula and get our exact answer (leaving pi as pi):</em>
<em>
</em>
<em />
<em>correct answer is D</em>
Answer:
x = −3 and x = −2
Step-by-step explanation:
x^2 + 5x = −6
Add 6 to each side
x^2 + 5x+6 = −6+6
x^2 +5x+6 =0
Factor
What 2 number multiply to 6 and add to 5
3*2 =6
3+2 =5
(x+3)(x+2) =0
Using the zero product property
x+3 =0 x+2 =0
x+3-3=0-3 x+2-2=0-2
x=-3 x=-2
Answer:
x=2, y=1
Step-by-step explanation:
2x + y = 5
5x − 2y = 8.
Multiply the first equation by 2
2( 2x + y) = 5*2
4x +2y = 10
Add this to the 2nd equation to eliminate y
4x+2y = 10
5x -2y = 8
--------------------
9x = 18
Divide by 9
9x/9 = 18/9
x = 2
Now find y
2x+y = 5
2(2)+y = 5
4+y = 5
Subtract 4 from each side
y = 5-4
y =1
By the polynomial remainder theorem, because <em>x</em> = 2<em>i</em> is a zero of <em>f(x)</em>, we have no remainder upon dividing <em>f(x)</em> by <em>x</em> - 2<em>i</em>.
Computing the quotient yields
Then if the remainder term is 0, follows that <em>a</em> = -12.
