Step-by-step explanation:
angle measure a =48/2=24°
the arc measure =360°-48°=312°
<h3>stay safe healthy and happy.</h3>
New balance=previous balance+finance charge+New transaction
First we need to calculate the finance charge in order to find the new balance
Finance charge=2,103.24×(0.144÷12 months)
=25.24
New balance
2,103.24+25.24+280
=2,408.48
Hope it helps!
Answer:
D. Obtuse.
Step-by-step explanation:
We are told that in
and
. We are asked to classify our given
.
We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.
Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.
So we can set an equation as:

Upon substituting our given values we will get,




As measure of angle N is 98 degrees, so angle N is an obtuse angle.
Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore,
is an obtuse triangle and option D is the correct choice.
Answer:
Step-by-step explanation:
take theta as reference angle
using sin rule
sin theta=opposite/hypotenuse
sin theta=5/13
sin theta=0.38
theta=sin 23
therefore the value of theta is 23 degree
He will be making a right triangle with the legs being 24 x 45. The diagonal will be the hypotenuse of the triangle. To find the amount of fencing we need the perimeter of the triangle.
Use Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
24^2 + 45^2 = c^2
576 + 2025 = c^2
2601 = c^2
sqrt 2601 = c
c = 51
Adding the three lengths the total fencing needed is
51+24+45=120 meters