Answer:
180=2^2×3^2×5
Step-by-step explanation:
We have to obtain the factors of 180 which are prime numbers
A prime number being a number with only 2 factors.That is 1 and the number itself.
For example 5 only has 2 factors 1 and 5⇒5=1×5
Here are the first few prime numbers
2,3,5,7,11,13,.....
A number which is not prime is a composite number. Composite numbers have more than 2 factors. All composite numbers can be expressed as a product of prime factors.
Distance is speed or velocity multiplied by time: d = v * t
We know the speed of the car and the time it travelled, so input the two into the equation above and solve for the distance travelled.
d = v * t
d = 64 m/h * (5 hours and 15 minutes) = 64 m/h * (5.25 hours)
d = (64 * 5.25) miles
d = 336 miles
Answer:
x° = 37°
Step-by-step explanation:
* Lets revise some facts of a circle
- The secant is a line intersect the circle in two points
- If two secants intersect each other in a point outside the circle,
then the measure of the angle between them is half the difference
of the measures of their intercepted arcs
* Now lets solve the problem
- There is a circle
- Two secants of this circle intersect each other in a point outside
the circle
∴ The measure of the angle between them = 1/2 the difference of the
measures of their intercepted arcs
∵ The measure of the angle between them is x°
∵ The measures of their intercepted arcs are 26° and 100°
- Use the rule above to find x
∴ x° = 1/2 [ measure of the large arc - measure of small arc]
∵ The measure of the large arc is 100°
∵ The measure of the small arc is 26°
∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°
∴ x° = 37°
Answer:
300
Step-by-step explanation:
