Answer:
Measure of the acute angle = 84°
Step-by-step explanation:
In the figure attached,
ABDE is a swimming pool having length 'AB' = 65 feet
Depth of one end of the pool is BE = 4 feet
And depth of the other end AD = 11 feet
Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.
Now from ΔCDE,
tanx = 
tanx = 
x = 
x = 6.15°
Now measure of acute angle the bottom of the pool makes with wall at he deep end,
m∠ADE = (90 - 6.15)°
= 83.85°
≈ 84°
1/2 + 2x = (3+4+12)x / 12
1/2 + 2x = 19x/12
1/2 = -5/2 x
x = -1/5
Answer:
a) ∠XWY = 53°
b) ∠XZY = 106°
Step-by-step explanation:
The relationship between the central angle and the arc length is that they're equal. So, if arc XY = 106° this means that ∠XZY = 106°.
The relationship between the central angle ∠XZY and the inscribed angle ∠XWY is that the inscribed angle is half the value of the central one.
So, ∠XWY= ∠XZY/2 = 106/2 = 53
<u>Results:</u>
∠XWY = 53°
∠XZY = 106°
Answer:
Algebraic, common difference = −9
Step-by-step explanation:
The first term of the series is 81, the second term is 72, the third term is 63 and the fourth term is 54.
So, the value of the terms decreases as the number of terms increases and this decrease in value is common and it is 9.
Therefore, the series is Algebraic series and the common difference is - 9. (Answer)
Answer:
Step-by-step explanation:
