The lengths of the sides of a triangle are in the extended ratio 3:7:8. The triangle’s perimeter is 72 in. What are the lengths
2 answers:
Answer:
Explanation:
The sides of the triangle are :
<span>24cm,28cm</span> and <span>36cm</span>
Explanation:
The ration of lengths are: <span>6:7:9</span>
Let the sides be denoted as:
<span>6x,7x</span> and <span>9x</span>
The perimeter <span>=88cm</span>
<span>6x+7x+9x=88</span>
<span>22x=88</span>
<span>x = </span>
<span>x=4</span>
The sides can be found as follows:
<span>6x=6×4=24cm</span>
<span>7x=7×4=28cm</span>
<span>9x=9×4=36c<span>m</span></span>
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Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by , where
is the base length and
is the height. Substituting given values, we have:
The volume of a trapezoidal prism is given by , where
and
are bases of the trapezoid,
is the length of the height of the trapezoid and
is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height (
).
Substituting given values, we get:
Therefore, the total volume of the composite figure is (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
Answer:
The boat traveling at 24 kph when John goes downstream.
Step-by-step explanation:
We are given the following in the question:
John has a boat that will travel at the rate of 15 kph in still water.
Let x be the speed of the current.
Speed of boat in upstream
Speed of water in downstream
Relation:
We have to find the speed of boat in downstream.
Time to travel upstream for 35 km = Time to travel 140 km downstream
Thus, speed of current is 9 kph.
Speed of boat in downstream = 15 + 9 = 24 kph.
Thus, the boat traveling at 24 kph when John goes downstream.