Answer:
2
Step-by-step explanation:
5 of 15. is 1/3
1/3 of 6 is equal to 2
The value of y in the triangle is 7.5
<h3>How to calculate the value of y?</h3>
The given parameter is the triangle
On the triangle, we have the following equivalent ratio
y : 8 = y + 15 : 20
Express as fraction
y/8 = y + 15/20
Cross multiply
20y = 8y + 90
Collect the like terms
20y - 8y = 90
Evaluate
12y = 90
Divide by 12
y = 7.5
Hence, the value of y in the triangle is 7.5
Read more about triangles at
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If one of the exterior angles is 40, you can find its adjacent interior angle by subtracting 40 from 180. This is 40, so the triangle has 2 interior angles that are equal to 40. Now we have 2 of 3 interior angles. The sum of the measures of the interior angles of a triangle is 180, so we can set this equation up:
x + 40 + 40 = 180
x + 80 = 180
x = 100
So the triangle's angles have measures of 40,40 and 100 degrees.
Answer:
60 seconds
Step-by-step explanation:
step 1.) find how many meters it falls per second
40m / 4sec = 10m/s
step 2.) use the equation above to find in terms of the question
10m/s for 6sec = 10 x 6 ====> 60 seconds
Answer: The answer is 381.85 feet.
Step-by-step explanation: Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.
This situation is framed very nicely in the attached figure, where
BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?
From the right-angled triangle WGB, we have
and from the right-angled triangle WAB, we have'
Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.
Thus, the height of the building across the street is 381.85 feet.
