Answer:
Part 3: 9 Dogs
Step-by-step explanation:
It says that the ratio they want you to put it in is dogs/students, so dogs are x, and students are y, so if there are 4 students for every dog, 36 students would require 9 dogs
And if the roles were switched it would be students x, dogs y, and there would be 9 students for 36 dogs :D
Divide 1 2/3 by 4 2/3 to find the answer. not completely sure if i’m right . hope it helps though
Answer:
slope = -2
Step-by-step explanation:
N=number of nickels
d=number of dimes
q=number of quarters
example
if n:d=3:8
lets say n=3 and d=8
3*8=8*3
so
8n=3d
slightly confusing but go with it, it migh make sense or it might not
n:d=3:8
8n=3d
d:q=4:5
5d=4q
solve for one of them
solve for nickels in first and quarters in second
8n=3d, n=(3/8)d
5d=4q, (4/5)d=q
5n+10d+25q=690
divide by 5 to make it easeir
n+2d+4q=138
sub (3/8)d for n
sub (4/5)d for q
(3/8)d+2d+5(5/4)d=138
(3/8)d+2d+25/4d=138
3/8+2+25/4=
3/8+16/2+50/8=
69/8
(69/8)d=138
times both sides by 8
69d=1104
divide both sides by 69
d=16
16 dimes
sub back
(5/4)d=q
(5/4)16=q
80/4=q
20=q
(3/8)d=n
(3/8)16=n
48/8=n
6=n
6 nickles
16 dimes
20 quarters
yah
The height of the triangle is 8root3 meters.
We have given that,
A tree breaks due to a storm and the broken part bends,
So that the top of the tree touches the ground making an angle of 60 degrees with the ground.
The distance between the feet of the tree to the point where the top touches the ground is 16m.
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.
Now, in △ABD
cos(30)=BD/AD=BD=root3AD/2
AD=2(8)/root3
also in the same triangle
![tan(30)=AB/BD\implies 8/\sqrt{3}](https://tex.z-dn.net/?f=tan%2830%29%3DAB%2FBD%5Cimplies%208%2F%5Csqrt%7B3%7D)
<h3>What is the height of the triangle?</h3>
Height of the tree=AB+AD
![=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }](https://tex.z-dn.net/?f=%3D%5Cfrac%7B16%7D%7B%5Csqrt%7B3%7D%20%7D%2B%5Cfrac%7B8%7D%7B%5Csqrt%7B3%7D%20%7D%20%7D)
![=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m](https://tex.z-dn.net/?f=%3D%5Cfrac%7B24%7D%7B%5Csqrt%7B3%7D%20%7D%20%5C%5C%3D8%5Csqrt%7B3%7Dm)
Therefore the height of the triangle is 8root3.
To learn more about the height visit:
brainly.com/question/12903285
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