Rick is 27 years old. Pretend D is David and R is Rick
D+R=81
D=2R
2R+R=81 ---> 3R=81 ---> 81/3=R R=27 3(27)=81 TRY IT!
Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99 (cm^2)
The equation of a line which has the slope m and passes through the point A(x1,y1) has the formula:
y-y1=m(x-x1)
in your case m= -5 ; A(x1;y1)=(1;-1)
y-(-1)= -5(x-1)
y+1= -5(x-1)
answer is c
Answer:
s = 10w
Step-by-step explanation:
We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:
"b" - for the y-intercept (where the graph hits the y-axis)
"m" - for the slope (how steep the line is)
"x" and "y" - coordinates that satisfy the equation (points on the line)
From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.
To find the slope, "m", use the equation
. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.
Point 1 (0, 0) x₁ = 0 y₁ = 0
Point 2 (1, 10) x₂ = 1 y₂ = 10
Substitute values
Subtract to simplify
Simplify the fraction
m = 10 Slope of the line
Since we know "m" and "b", we can write the equation:
y = mx + b
y = 10x + 0
y = 10x
We are not using "x" and "y" in this case. Change them according to the question.
x => w
y => s
y = 10x => s = 10w
Answer:
John ski down the mountain is 1285.37 feet.
Step-by-step explanation:
Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.
To find : About how far does John ski down the mountain ?
Solution :
We draw a rough image of the question for easier understanding.
Refer the attached figure below.
According to question,
Let AB be the height of mountain i.e. AB=1200 feet
The angle of depression is 21 i.e. 
We have to find how far does John ski down the mountain i.e. AC = ?
Using trigonometric,




Therefore, John ski down the mountain is 1285.37 feet.