Answer:
18.85 mm.
7.73 mm^2.
Step-by-step explanation:
The side of the square = sqrt 36 = 6 mm.
Now this side = the diameter of the circle.
So the circumference of the circle = π * 6 = 18.85 mm.
The answer to the second part
= area of the square - area of the circle
= 36 - π *3^2
= 36 - 28.27
= 7.73 mm^2.
Answer:
1. k=2
2. b=2f
3. 68
Explanation
1. y=kx (replace x&y with 2 values)
12=k(6) (isolate k)
/6 /6
2=k *check with another value to see if k truly is 2
2. since the constant of variation is 2, we can see that 2x the number of flowers make up the birds. so...
b(birds/y-value)=2(constant)f(number of flowers)
b=2f
3. input 34 into f, since there are 34 flowers
b=2*34 (use mental math)
b=68
in other words, there will be 68 birds.
1. 600 / 900 = 260/x
234,000 / 600 = 390
the length = 390 feet
2. 100/20 = d/60
100/20 = 5
d = 60x5 = 300 feet
Answer:
y = 5√3
x = 10√3
Step-by-step explanation:
From the given sides
Adjacent = 15
Opposite = y
Hypotenuse = x
Angle of depression = 30degree
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 30 = y/15
y = 15tan30
y = 15(1/√3)
y = 15√3/3
y = 5√3
Similarly
cos theta = adj/hyp
cos 30 = 15/x
x = 15/cos30
x = 15 /√3/2
x = 30/√3
x = 30√3/3
x = 10√3
Answer:
Then what is the radius of the circle? Since, the tangent of any point of a line is perpendicular to the radius through the point of contact. Hence, radius of the circle = 8 cm.
