Answer:
34 + 35 + 36 = 105
Step-by-step explanation:
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 105
3X + 3 = 105
3X + 3 - 3 = 105 - 3
3X = 102
3X/3 = 102/3
X = 34
Which means that the first number is 34, the second number is 34 + 1 and the third number is 34 + 2. Therefore, three consecutive integers that add up to 105 are 34, 35, and 36.
34 + 35 + 36 = 105
We know our answer is correct because 34 + 35 + 36 equals 105 as displayed above.
Answer:
The volume of the cone is 100.48 units³ approximately
Step-by-step explanation:
To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;
first, write down the formula for calculating the volume of a cone
v= πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given, diameter d = 8 units but d=2r which implies r=d/2
r=8/2 = 4 units
Hence r= 4 units
height = 6 units
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
v= πr²
v ≈ 3.14 × 4² × 6/3
v ≈ 3.14 × 16 × 2
v ≈ 100 .48 units³
Therefore the volume of the cone is 100 .48 units³ approximately
Answer:
<em>slope= -3</em>
Step-by-step explanation:
firstly calculating the values of x and y for slopes.
-3/2x - 1/2y = 8
(-3x-y)= 8×2
-(3x+y) = 16
3x+y = -16
if x= -2
-6 + y = -16
y=-10
.: (x₁,y₁)=(-2,-10)
if x= -5
-15 + y = -16
y = -1
.: (x₂,y₂)=(-5,-1)
Using slope formula,
slope= (y₂-y₁)/(x₂-x₁)
slope = [-1-(-10)] / [-5-(-2)]
slope= [-1+10]/[-5+2]
slope= 9/(-3)
slope= -3
Answer:
4 1/4 × 3 × 1 1/4
Step-by-step explanation:
To find volume you need to do length×width×height
