Answer:
Step-by-step explanation:
Given that:
Speed of Wilmer up the hill = km/min
Time taken up the hill = minutes
Speed of Wilmer down the hill = km/min
Time taken up the hill = minutes
Distance can be calculated by multiplying the Speed with Time i.e.
The formula for distance is given as:
Distance up the hill =
Distance down the hill =
It is well known that, the distance up the hill and down the hill will be same.
Putting both the values equal, we get:
The question is missing the figure which is attached below.
Answer:
1620 cm³
Step-by-step explanation:
Given:
The two prisms are similar.
Volume of the smaller prism (V₁) = 60 cm³
Length of the smaller prism (l₁) = 5 cm
Length of the larger prism (l₂) = 15 cm
Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,
This means that, the smaller figure is dilated by a scale factor of 3.
Hence,
Volume of smaller prism is given as:
Volume of larger prism is given as;
Therefore, the volume of the larger rectangular prism is 1620 cm³.
Answer:
Perimeter = 78.7 inches
Step-by-step explanation:
From the given question, applying the Pythagoras theorem to one of the congruent triangles formed, we have;
=
+
= +
=841 + 81
= 922
hyp =
= 30.3645
The perimeter of the triangle can be determined as;
perimeter = +
+
= 30.3645 + 18 + 30.3645
= 78.729
The perimeter of the triangle = 78.7 inches