Tan(theta)=opposite/adjacent
Tan(31)=x/10
(Tan(31))10=x
X=6.0086
2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:
KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)
3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:
AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)
AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)
;
Answer:
Step-by-step explanation:
Miles per hour is a speed and we usually just hear the number of how fast a car or a rocket or meteor is going. We look at our speedometer in the car and see how fast we're driving, 35mph or 73mph
But it is literally a formula. Miles on top and hours on the bottom, like a fraction. If the numbers you're given are in miles and in hours, your can just fill in the numbers and simplify.
Your numbers are also fractions, so it looks a little scary, but no worries, you can simplify it.
You have 1/2 on top and 1/16 on the bottom. A fraction bar is just a division sign, we're going to divide 1/2 ÷ 1/16 We do this by using the rule:
Keep Change Flip
1/2 Keep
___ Change
1/16 Flip
Keep the 1/2
Change ÷ to *
Flip the 1/16
So it becomes 1/2* 16/1
1/2 * 16 is 8
8 miles per hour is your answer.
If fractions are too terrifying, you could just change 1/2 to .5 and
change 1/16 to .0625
.5 ÷ .0625= 8
Answer: 8mph
Answer:
x = 8
Step-by-step explanation:
subtract 1 from each side.
you end up with 2x = 16
then divide both sides by 2
giving you x = 8.