Given that the angles of the two sectors are equal, we can find the relationship between the angles, radii, and the lengths of the arc
The length of the arc (S) is given by the formula
Then we can make the angle the subject of the formula
For the first sector
For the second sector
Simplifying the equation, we will obtain
5400 = 5000 + 400
5000 ⇒ 50 lots of one hundred
5000 ⇒ 50 hundred
400 ⇒ 4 lots of one hundred
400 ⇒ 4 hundred
5400 ⇒ 54 lots of one hundred
5400 ⇒ 54 hundred
Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
Answer:
Option B) Acute
Step-by-step explanation:
we know that
if a triangle contains an obtuse angle, then the other two angles must be acute.
<em><u>Verify</u></em>
The sum of the interior angles of a triangle must be equal to 180 degrees
in the triangle of the figure
113°+15°+x°=180°
Solve for x
118°+x°=180°
x=180°-118°=62°
62° < 90°
therefore
The angle x is an acute angle
Divide 202 by 12, and you will get 16.83 so basically you woukd round that up and say it is about 17 hours time, I dont know if whoever is asking you the question but if they dont want it rounded up then it is 16.83 hours, if they do want it estimated/rounded up then it is 17 hours , hope this helps you have a blessed day