While filling a pool 144centimeters deep, Fiona notices it has taken 2 hours to fill it up to a depth of 36 centimeters. 1a At w
1 answer:
Answer:
Rate at which pool is getting filled m/hr
Step-by-step explanation:
Given
Depth up to which the pool gets filled in two hours is equal to centimeter
As we know
One meter centimeter
So centimeter is equal to
meter
Rate at which pool is getting filled is equal to height up to which water is filled in 2 hours divided by time taken
Rate at which pool is getting filled m/hr
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Answer: 20 ft
This problem can be solved by the Thales’s theorem, which states:
<em>Two triangles are similar when they have equal angles and proportional sides </em>
It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other. </u>
<u />
Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.
In this case we have two similar triangles (Figure attached) where is the height of the flagpole,
is the height of the person,
is the length of the shadow of the flagpole and
is the length of the shadow of the person.
Having this clear, we can write the following relation with both similar triangles:
(1)
We know all these lengths except , which is the value we want to to find.
So, in order to approach this problem we have to find from equation (1):
Then:
>>>>>This is the height of the flagpole
Answer:
x = 4.712145
Step-by-step explanation:
Given a=20 and b=28,
c = 4√74 = 34.409301068171
∠α = 35.538° = 35°32'16" = 0.62025 rad
∠β = 54.462° = 54°27'44" = 0.95055 rad
Area = 280
Perimeter = 82.409301068171
<h2><u>_____________________________________</u></h2>Let's solve your equation step-by-step.
9x−8=34.409301
Step 1: Add 8 to both sides.
9x−8+8=34.409301+8
9x=42.409301
Step 2: Divide both sides by 9.
x=4.712145
<h2>Answer:</h2><h2>x=4.712145</h2>
Answer:
Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, , where
,
, and
are the three sides of the triangle and
is the angle opposite to
.
Let be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:
Therefore, the shortest side of this triangle is 3.5.