Answer:
m<D = 105
Step-by-step explanation:
So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.
For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.
Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.
Pythagorean theorem is formula we would use:
1.)
c^2=a^2+b^2
c^2=10^2+24^2
c^2=100+576
c^2=676
c= √676
c=26 in
2.)
c^2=7^2+14^2
c^2=49+196
c^2=245
c= √245
c~15.65 cm
90% of <span>£41 = 90/100 × 41 = </span><span>£36.9
</span>£41 decreased by 90% = 41 - 36.9 = <span>£4.1</span>
We know that
[volume of a <span>pyramid]=[area of the base]*h/3
</span><span>a) The scale factor of the smaller pyramid to the larger pyramid in simplest form
</span><span>
12/20----------> 3/5
the answer Part a) is 3/5
</span><span>(b) The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid
[</span>The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid]--------> (3/5)²------> 9/25------> 0.36
[volume of a larger pyramid]=8192 cm³
h=20 cm
so
[8192]=[area of the base larger pyramid]*20/3
[area of the base larger pyramid]=8192*3/20------> 1228.80 cm²<span>
</span>[area of the base smaller pyramid]=(3/5)²*1228.80-----> 442.37 cm²
The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid-----------> 442.37/1228.8--------> 0.36
0.36--------> is equal to (3/5)²
the answer part b) is 0.36
<span>(c) Ratio of the volume of the smaller pyramid to the larger
</span>
[Ratio of the volume of the smaller pyramid to the larger]=(3/5)³---> 27/125
27/125------> 0.216
the answer Part c) is 0.216
<span>(d) The volume of the smaller pyramid
[</span>The volume of the smaller pyramid]=0.216*8192------> 1769.47 cm³
<span>
the answer part c) is </span>1769.47 cm³<span>
</span>
Answer:
1. (-2,2)
2. none
3. infinite/all real numbers
4. (0,-3)
hope this helps
