Answer:
What you are doing wrong is that you are using the formula to find the area of the entire circle rather than using the formula to find a sector of a circle. The two cases uses 2 different kind sentences of formulas.
Your answers are ...
1) <span>Arc PQ is congruent to arc SR.
2) </span>The measure of arc QR is 150°.
4) <span>Arc PS measures about 13.1 cm.
5) </span><span>Arc QS measures about 15.7 cm.
All of them are correct except for the third answer...
Hope this helps!</span>
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
<em></em>
Therefore, the angle between their paths is <em>100.8°</em>
Answer:
The equation has no solutions .
Step-by-step explanation:
Given as :
<u>The linear equation is </u>
(24 -16 x) =
(18 x -27)
Or,
×24 -
× 16 x =
× 18 x -
× 27
Or,
×24 -
× 16 x =
× 18 x +
× 27
Or,
-
=
+
Or, 3 × 6 - 3 × 4 x = - 2 × 6 x + 2 × 9
Or, 18 - 12 x = - 12 x + 18
Or, 18 - 18 = - 12 x + 12 x
or, 0 = 0
∵ The linear equation has no variables , so the equation has no solution
Hence,The equation has no solutions . Answer
5^-4^=25-16=9 root from 9 is 3 so it’s c) 3 miles