Step-by-step explanation:
the circumference of a complete circle (360°) is
2×pi×r
in our case
2×pi×3 = 6pi (= 18.84955592... ft)
5 ft is now what fraction of the whole circumference ?
because the corresponding arc angle is the same fraction of 360°.
5 ft are 5/(6pi) of the whole circumference.
so, the arc angle AB is
5/(6pi) × 360 = 5×60/pi = 300/pi = 95.49296586...°
but maybe you need the angle in radians instead of degrees ?
then remember, 360° = 2pi radians.
and then the arc angle AB is
5/(6pi) × 2pi = 10/6 = 5/3 = 1.666666... radians.
Answer:
10.44 feet
Step-by-step explanation:
You need to use the Pythagorean Theorem twice.
First we have to find the diagonal for the base.
6²+8²=x²
36+64=x²
100=x²
√100=x
x=10
Now we can find d.
10²+3²=x²
100+9=x²
109=x²
√109=x
x=10.44 feet
Question 4
4(2x +5)
What you are going to do is called the distributive property.
First you are going to multiply the 4 and the 2 and you would get 8x.
Second you are going to multiply the 4 and the 5 and you would get 20.
Answer is 8x+20.
Sorry don't know about the other following answers
Answer:
33 feet
Step-by-step explanation:
We can draw a triangle in this situation.
<u>Note:</u>
The height of the tree is the side "opposite" of the 35 angle. The squirrel's distance of 47 feet from the base of the tree is the side "adjacent" to the angle.
Which trig ratio relates "opposite" and "adjacent"?
It is Tan
Thus we can write and solve (let height of tree be h):
To the nearest foot, the height of tree is about 33 feet
We need to know what this question is about