check math way
Step-by-step explanation: it helps more then here
Step-by-step explanation:
Using the properties of logarithms, the left side of the equation becomes
while the right hand side becomes
so we end up with
This will only be able to hold 153 dogs in total. He will need 1 additional truck to hold the last 7 dogs.
Answer:
34.54 
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Height (h) = 3.7 km
Base radius (r) = 3 km
We can calculate the volume of mountain by using following formula,
So, volume of cone = (1/3)π
h
By putting the value in the formula, we get
= (1/3) π × 
× 3.7
= 11.1π
= 34.54
Hence, the volume of the mountain is 34.54 .
Answer:
384 cm²
Step-by-step explanation:
The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.
To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:
For parallelogram:
Height (H) = 7.5 cm
Base (B) = 24 cm
Area of parallelogram (A₁) =?
A₁ = B × H
A₁ = 24 × 7.5
A₁ = 180 cm²
For rectangle:
Length (L) = 24 cm
Width (W) = 8.5 cm
Area of rectangle (A₂) =?
A₂ = L × W
A₂ = 24 × 8.5
A₂ = 204 cm²
Finally, we shall determine the area of the shape.
Area of parallelogram (A₁) = 180 cm²
Area of rectangle (A₂) = 204 cm²
Area of figure (A)
A = A₁ + A₂
A = 180 + 204
A = 384 cm²
Therefore, the area of the figure is 384 cm²
