As the angle sum of triangle is 180
with one angle is 60 the sum of the remains two angles is 120
let the smallest angle be x
as the larger angle is twice of the smaller angle, it will be 2x
therefore, x+2x = 120, x= 40
so the smallest angel of the triangle is 40 degree
Answer:
y = -3, -4
Step-by-step explanation:
Formula is (b/2)^2
So...
(y+7/2)^2 - 1/4 = 0
Add 1/4 to each side
(y+7/2)^2 = 1/4
Square root...
y+7/2 = +-1/2
Add
y = -3, -4
Answer:
Step-by-step explanation:
For this case we can use the formula for the future value with compound interest given by:
(1)
For this case since the interest is compounded quarterly we have 3 periods each year, since we have 3 quarters in a year.
r represent the rate =0.026
t = 6 represent the number of years
P = 3200 represent the amount invested at the begin
If we apply the formula (1) we got:
So then the balance after 6 years would be approximately 50995 with the conditions provided.
It will take them 3 hours to meet
Step-by-step explanation:
The given is:
- Jack and Jill live 345 miles apart from one another
- They want to meet for lunch and agree to leave the same time, drive toward each other, and meet somewhere along the route
- Jack's average rates 60 mph
- Jill's average rate is 55 mph
We need to find how long it will take them to meet
Distance = Speed × Time
∵ They will drive toward each other at the same time and meet
each other somewhere
- That means they will drive for the same time
∵ Jack's average rates 60 mph for t hours
∴ Jack will drive a distance = 60 × t = 60 t miles
∵ Jill's average rate is 55 mph for t hours
∴ Jill will drive a distance = 55 × t = 55 t miles
∵ The distance between Jack and Jill is 345 miles apart
- Add their distance above and equate the sum by 345
∴ 60 t + 55 t = 345
∴ 115 t = 345
- Divide both sides by 115
∴ t = 3 hours
It will take them 3 hours to meet
Learn more:
You can learn more about the word problems in brainly.com/question/3950386
#LearnwithBrainly
