Answer:
(j+1)(2) is simplified into (2j+2)
Step-by-step explanation:
Multiply both parts of the equation by 2 to get your answer.
Answer:
1)B:63°
2)A:59°
Step-by-step explanation:
1.ABC is a right triangle at C then angle ACB=90°(right angle)
Angle CAB=27°(see the given)
measure of the angles in any triangle is 180°
then angle CBA=
measure of all the angles - (measure ACB+measure CAB)
=180°-(90°+27°)
=63°
2. Same explanation of angle B:
in the right triangle DEF: angle DEF=90°
angle D=31°(given)
Then measure of angle A=180°-(angle E + angle D)
=180-(90+31)=59°
Answer:
12 inches
Step-by-step explanation:
Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.
Thus, the top of the cone will also have a radius (r) inches.
Let consider h to be the height of the cone in inches.
So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.
To do that; we need to equate both volumes together and make h the subject of the formula:
The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h
4/3 πr³ = 1/3πr²h
Multiply both sides by 3
4πr³ = πr²h
4r = h
h = 4(3)
h = 12 inches
To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall
If written as a decimal, 9 x 1/10 would be 9 x 0.1,
6 x 1/100 would be 6 x 0.01, and 4 x 1/1000 would be 4 x 0.001.
Answer:
Step-by-step explanation:
x-4=0
x=4
i solve by synthetic division.
4| 1 -7 14 -8
| 4 -12 8
___________
| 1 -3 2 | 0
![x^3-7x^2+14x-8=(x-4)(x2-3x+2)\\=(x-4)[x^2-x-2x+2]\\=(x-4)[x(x-1)-2(x-1)]\\=(x-4)(x-1)(x-2)](https://tex.z-dn.net/?f=x%5E3-7x%5E2%2B14x-8%3D%28x-4%29%28x2-3x%2B2%29%5C%5C%3D%28x-4%29%5Bx%5E2-x-2x%2B2%5D%5C%5C%3D%28x-4%29%5Bx%28x-1%29-2%28x-1%29%5D%5C%5C%3D%28x-4%29%28x-1%29%28x-2%29)
x-intercepts are (4,0),(1,0),(2,0)
put x=0
y=-8
y -intercept is (0,-8)
