Answer:
12.25
sq m
Step-by-step explanation:
if circumference is 7 then the diameter is 7
Area = r²
A = (3.5)²
A = 12.25
Answer:
1. 109
2. 29
3. 71
Step-by-step explanation:
1. since a triangle's interior angles always add up to 180, you can add 35 and 36 to get 71, then subtract that from 180 to find the third angle
2. the unnamed angle in triangle RUV is supplementary to <1.Supplementary angles are angle the add up to 180. So you can subtract 109 from 180 to find the unnamed angle. It is 71. Now you can repeat the steps in question one to find <2 in triangle RUV. You get that <2 is 29
3. Angle 3 and the unnamed angle are vertical angles. This means that they are opposite to each other and are congruent. This means that they have the same measure. Knowing that the unnamed angle is 71, we can say that angle 3 is also 71.
2.4 is the fraction 24/10. Simplified, this is 12/5. Since the bottom is a prime number, and the top is not divisible by it, this is as far as we can simplify the fraction. Therefore the solution is 12/5.
Average speed = (total distance traveled)/(total travel time)
= (total distance)/(time of 1st journey<span> + </span>time of 2nd journey<span> + </span>time of 3rd journey)
Let d = the distance between Town A and Town B
<span>So, total distance traveled = </span>3d
Time = distance/speed
time of 1st journey = d/x
time of 2nd journey = d/y
time of 3rd journey = d/z
<span>Total time = </span>d/x<span> + </span>d/y<span> + </span>dz
<span>To simplify, rewrite with common denominator: </span>dyz/xyz<span> + </span>dxz/xyz<span> + </span>dxy/xyz
So, total time = (dyz + dxz + dxy)/xyz
Average speed = (total distance)/(total time)
<span>= </span>3d/[(dyz + dxz + dxy)/xyz]
= (3dxyz)/(dyz + dxz + dxy)
<span>Divide top and bottom by d to get: (3xyz)/(yz + xz + xy)</span>
Y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4
