Answer:
18√2
Step-by-step explanation:
The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
The line segment of interest has length ...
36 × (√2)/2 = 18√2
_____
The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.
Answer:
9: a^8/c^2
Step-by-step explanation:
(a^4/c)^2
(a^8/c^2)
1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15 is about 1/4 the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%
Bro I got a video of those test answers just message me ur phone # I got all the geometry tests
<em>1172. 08 in²</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>
<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>
<em>= 2(176 + 176 + 121) - 3.14*16</em>
<em>= 2*473 - 50.4</em>
<em>= 946 - 50.24</em>
<em>= 895.76 in²</em>
<em>A(cylinder) = πr² + 2πr*h</em>
<em>= 3.14*16 + 2*3.14*4*9</em>
<em>= 50.24 + 226.08</em>
<em>= 276.32 in²</em>
<em>A(total) = 895.76in² + 276.32in² = 1172.08 in²</em>
<em>Good luck !</em>
