Answer:
x=8
Step-by-step explanation:
we know that
If Quadrilateral RSTU is a rectangle
then
The measure of angle STU is a right angle
m∠STU=90°
m∠STU=m∠STR+m∠RTU
so
m∠STR+m∠RTU=90° -----> complementary angles
substitute the given values
(3x-2)+(8x+4)=90°
Solve for x
11x+2=90
11x=90-2
11x=88
x=8
Answer: About 3.14 inches
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²

Differentiating with respect to t


Since the car driving towards the intersection at 13 m/s.
so,

Now



= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Well hey...
2.25 ÷ 2.17 = 1.03 people on square miles
Step-by-step explanation:
I think this should be the expression
X = 14 + 50