Answer:
x = 3
Step-by-step explanation:
Given two secants drawn from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
x(x + 21) = (x + 1)(x + 1 + 14)
x² + 21x = (x + 1)(x + 15) ← expand using FOIL
x² + 21x = x² + 16x + 15 ( subtract x² + 16x from both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Answer:
50.4 square miles
Step-by-step explanation:
Dividing mixed numbers is when you take a mixed number divided by a mixed number and make then fractions. Here's an example:
(Example)~5 1/5 divided by 3 1/3
5x5=25+1=26. 26/5
3x3=9+1=10/3
26/5 divided by 10/3= 26/5 multiplied by 3/10= 78/50
Dividing Fractions is when you turn 2 fractions and make them into a multiplication problem. Here's an example:
(Example)~ 2/3 divided by 4/8
2/3 multiplied by 8/4
2/3 x 8/4= 16/12~ Which turns into 1 4/12
Answer:
322 1/2 miles
Step-by-step explanation:
Recall how s = d/t ; speed = distance/time.
To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.
speed × time = distance/time × time
speed × time = distance
distance = speed × time ; d = st.
Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.
Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.
Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.
Distance 1 + Distance 2 = Total distance.
270 miles + 52 1/2 miles = 322 1/2 miles.
The ratio of that probability is 3 : 4
