Answer:
10 spiders and 12 ants
Step-by-step explanation:
You need to create two equations
s = # of spiders
a = # of ants
s + a = 22 heads
since each spider and ant has one head
8s + 6a = 152 legs
since every spider has 8 legs and every ant has 6
s + a = 22 can be turned into s = 22 - a
now use substitution
8(22 - a) + 6a = 152
176 - 8a + 6a = 152
176 - 2a = 152
24 = 2a
a = 12
now that you have the number of ants you can solve for the number of spiders
s + a = 22
s + 12 = 22
s = 10
1. 25% of the new dogs found new home
2. 60% of the book Gabe read are fiction
<em>Height of the pole (DC) is 57.2709m</em>
Step-by-step explanation:
Here, Wire DA and Wire DB supports a pole.
Given that Angle, A=54 , B= 72.
Also, AB = 23m
Now, Taking triangle BCD and Using basic trigonometry
Height of pole H = DC


Now, Taking triangle ACD and Using basic trigonometry


From figure, we know that
AC = AB + BC
AC - BC = AB = 23
Replacing values of AC and BC

Now, TanB= Tan72 =3.0776 and TanA = Tan54=1.3763




Thus, Height of thepole is 57.2709m