Answer:
1:3
Step-by-step explanation:
3/3=1
9/3=6
Answer:
Step-by-step explanation:
this is a 45-45-90 triangle. The angle opposite the 45° angle is also 45°.
HI = HJ because this is an isosceles triangle.
Use the cos function to find the length of HJ:
cos Ф = adj / hyp or adj = (hyp)(cos Ф).
1
Here we have adj = HI = HJ = 4√5 cos 45° = 4√5 · -----
√2, or 4√5 / √2
4√10
This last result simplifies to ----------
2
or 2√10 (answer)
The length of side HJ and that of HI is 2/√10.
Answer:
The equation of the sphere in standard form is
![x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%2Bz%5E%7B2%7D%20%2B12%20x-20%20y-10%20z%2B136%3D0)
Step-by-step explanation:
<u>Step 1</u>:-
The equation of the sphere having center and radius is
![(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%20%2B%28y-k%29%5E%7B2%7D%20%2B%28z-l%29%5E%7B2%7D%20%3D%20r%5E%7B2%7D)
Given centered of the sphere is (-6,10,5) and radius r=5
![(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}](https://tex.z-dn.net/?f=%28x-%28-6%29%29%5E%7B2%7D%20%2B%28y-10%29%5E%7B2%7D%20%2B%28z-5%29%5E%7B2%7D%20%3D%205%5E%7B2%7D)
on simplification,we get
![using (a+b)^{2} =a^{2} +2 a b+b^{2}](https://tex.z-dn.net/?f=using%20%28a%2Bb%29%5E%7B2%7D%20%3Da%5E%7B2%7D%20%2B2%20a%20b%2Bb%5E%7B2%7D)
![using (a-b)^{2} =a^{2} -2 a b+b^{2}](https://tex.z-dn.net/?f=using%20%28a-b%29%5E%7B2%7D%20%3Da%5E%7B2%7D%20-2%20a%20b%2Bb%5E%7B2%7D)
simplify , we get
![x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%2Bz%5E%7B2%7D%20%2B12%20x-20%20y-10%20z%2B136%3D0)
Hello! The first thing you want to do is add 4 to both sides, which gives you: 7over9x - 4 + 4 = 24 + 4. Then Simplify: 7over9x = 28. Then you just multiply both sides by the number 9! 9 times 7over9 = 28 times 9. Simplfy again! 7xover7 = 252over7. Simply that fraction, and you get x=36.
~I hope this helped!
I am, yours most sincerely,
Joshua A. Bunn
Answer:
196: 9.8
20: 1
x= 9.8 meters in 1 second
Step-by-step explanation:
This can be determined by following writing equal ratios that represent a word problem. Then, the denominator must be divided from the numerator to get the unit rate/ meters per second.