The 2 angles are complementary angles and need to equal 90 degrees.
Making an equation we have:
4x-10 + x = 90 degrees
Add like tems:
4x +x = 5x
Now we have:
5x-10 = 90
Add 10 to both sides:
5x = 100
Divide both sides by 5:
x = 100/5
X = 20
The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.
Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.
After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.
Do you remember this for a right triangle ? ==> A² + B² = C²
(500H)² + (1200H)² = (650)²
250,000H² + 1,440,000H² = 422,500
1,690,000 H² = 422,500
H² = (422,500) / (1,690,000) = 0.25
H = √0.25 = 1/2 hour = 30 minutes
The intersection of two sets is a set that contains elements that are common to both sets.
There are no common elements in sets E and F, so the answer is the empty set.
<span>E ∩ F = { }</span>
Answer: 11,600
Step-by-step explanation: 10³ = 10 x 10 x 10 = 1,000.
1,000 x 6.4 = 6,400.
1,000 x 5.2 = 5,200.
6,400 + 5,200 = 11,600
Answer:
none of these have a solution of 2.
Step-by-step explanation:
4x+ 15 = 27
x=3
x + 6 =3
x = 3
2(x+5)=18
x = 4
x + 9 = 6
x = -3
if my understanding of what the equations are supposed to be please let me know what they are supposed to be, because with the way they are typed it is hard to tell :)