Answer:
x < 21
Step-by-step explanation:
x - 5 < 16
x < 21 Add 5 to both sides
Answer:
![5.8\:feet](https://tex.z-dn.net/?f=5.8%5C%3Afeet)
Step-by-step explanation:
The total length of the nylon rope, the height of the tent, the ground distance from the stake to the tent, forms a right angle triangle.
We can apply the Pythagoras Theorem to find the total length of nylon rope Jorge will use.
According to the Pythagoras Theorem, the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
![h^2=l_1^2+l_2^2](https://tex.z-dn.net/?f=h%5E2%3Dl_1%5E2%2Bl_2%5E2)
Note that the height of the tent and the ground distance to the stake formed the legs, while the length of the nylon rope forms the hypotenuse.
This implies that:
![h^2=5^2+3^2](https://tex.z-dn.net/?f=h%5E2%3D5%5E2%2B3%5E2)
Evaluate the squares:
![h^2=25+9](https://tex.z-dn.net/?f=h%5E2%3D25%2B9)
Add
![h^2=34](https://tex.z-dn.net/?f=h%5E2%3D34)
Take square root:
![h=\sqrt{34}](https://tex.z-dn.net/?f=h%3D%5Csqrt%7B34%7D)
Use a scientific calculator
![h=5.83](https://tex.z-dn.net/?f=h%3D5.83)
Round to the nearest tenth
![5.8 \:feet](https://tex.z-dn.net/?f=5.8%20%5C%3Afeet)
Answer:
THANK YOU SO MUCH!!!!!!
Step-by-step explanation:
THIS IS REALLY HELPFUL!
Answer:
m = 3; b = -12
Step-by-step explanation:
In order to answer the question definitively, we must assume you intend for the equation to be an identity.
6(2x -5) -(mx +2) = 9x +b
12x -10 -mx -2 = 9x +b
Equating x terms:
12x -mx = 9x
12 -m = 9 . . . . . . divide by x; next, add m-9
12 -9 = m = 3
Equating constant terms:
-10 -2 = b
-12 = b
The volume of the box is l*w*h, or l*w*10, and also the volume is 360. so, 10lw=360, meaning l*w=36, so we are looking for whole number factors of 36.
length: 1 2 3 4 6 9 12 18 36width:36 18 12 9 6 4 3 2 1
there are a total of 9 possible ways to make the base of the box so your answer would be 9