Here is the set up:
Let x and y be the two numbers with x the smaller and y the larger number.
x + y = 66
2x = y + 15
We have two equations in two unknowns.
Take it from here.
Answer:
Diameter: Circumference
Step-by-step explanation:
Because this is Pi, which is the same for any circle.
In this question, it is necessary to first check all the details that are already provided in the question. Then after they are noted down the final thing required is to find the answer to the question by correct calculations.
Distance for which the truck traveled = 280 kilometers
Time taken to travel the given distance = 4 hours.
Then
Speed of the truck = Distance traveled/Time taken
= 280/4 km/hr
= 70 km/hr
So the truck was traveling at a speed of 70 kilometers per hour. This is the answer to both the questions that have been put up. So there is no need for any kind of second calculation.
It would be 32cm because the diameter corresponding
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
