Answer:
65°
Step-by-step explanation:
Radii CA and CB are perpendicular to tangent lines AT and BT, so
Since angle BAT is equal to 65°, angle CAB has measure
Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus
The sum of the measures of all interior angles in triangle is always 180°, so
Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so
Answer:
Step-by-step explanation:
-60
Step-by-step explanation:
Increase in population is given by positive sign
Change in population in 5 years = -300
Decrease in population is represented by negative sign
Change in population in 1 year = -300\5
= -60
Town's population faces a decrease of 60 residents each year.
Answer:
Approximately 42 times larger
Step-by-step explanation:
The diameter of a sphere is 2,160 mm.
The diameter of a second sphere is 7,520 mm.
To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:
To see how many times larger the volume is, we cube both sides
This implies that
Therefore the volume of the second sphere is approximately 42 times larger
We know how much 16 keychains is, now we need to find how much one is.
19.68 / 16 = $1.23
$1.23 is the price of one keychain, now you can multiply that by 25 to see how much 25 keychains cost.
