Answer: 86.5 in²
Step-by-step explanation: Circumference is2·pi·r= 32.97 in.
Radius r = 32.97 in/ 2pi = 5.247 in. Area is pi·r²
X=15
Y=3
2(15)=30
3(3)=9
30+9=39
Prove if R, A, C and R, O, C is congruent to each other. Is this for geometry?
Answer:
The height of the tree is is 60m
Step-by-step explanation:
Let's answer a, as it is the only complete question.
We know that the angle of elevation of the top of a tree observed from a point 60m away, is 45°.
We can model this with a triangle rectangle, a sketch of it can be seen below (assuming that you are looking it from the ground).
You can see that the adjacent cathetus to the 45° angle is equal to 60m
And the opposite cathetus is the measure we want to find.
Now you can remember the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus).
So to find the height of the tree we need to solve:
tan(45°) = H/60m
This is just:
tan(45°)*60m = H =60m
The height of the tree is is 60m
Answer:
The number of duck is 32.
Step-by-step explanation:
Let x represent the number of rabbits.
Let y represent the number of ducks
From the question given:
The sum of rabbit and duck is 36 i.e
x + y = 36 .... (1)
The sum of the feets of the rabbit and duck is 80.
Rabbits has 4 legs
Duck has 2 legs
Therefore, the sum their feets (i.e 80) can be written as:
4x + 2y = 80 .... (2)
The equations are:
x + y = 36 .... (1)
4x + 2y = 80 .... (2)
Solving by substitution method:
From equation (1)
x + y = 36
Make x the subject
x + y = 36
x = 36 - y
Substitute the value of x into equation (2)
4x + 2y = 80
x = 36 - y
4(36 - y) + 2y = 80
Clear bracket
144 - 4y + 2y = 80
144 - 2y = 80
Collect like terms
- 2y = 80 - 144
- 2y = - 64
Divide both side by - 2
y = - 64/ - 2
y = 32
Therefore, the number of duck is 32.
