Answer:
JK = 24
Step-by-step explanation:
Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
5JK = 120 ( divide both sides by 5 )
JK = 24
Answer:
Domain: (-∞, 4]
Range: [0, ∞)
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
- Range is the set of y-values that are outputted by function f(x)
Step-by-step explanation:
According to the graph, we see the line's x-value span from negative infinity to 4. Since 4 is closed dot, it is inclusive in the domain:
(-∞, 4] or x ≤ 4
According to the graph, we see the line's y-value span from 0 to infinity. Since 0 is closed dot, it is inclusive in the range:
[0, ∞) or y ≥ 0
Answer:
<h3>The diameter is 4cm</h3>
Step-by-step explanation:
Volume of a sphere is
Where r is the radius
diameter = radius × 2
To find the diameter we must first find the radius
Volume = 34cm³
That's
![34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm](https://tex.z-dn.net/?f=34%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%2034%20%5Ctimes%203%20%3D%204%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20102%20%3D%204%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%7Br%7D%5E%7B3%7D%20%20%20%3D%20%5Cfrac%7B102%7D%7B4%7D%20%5Cpi%20%5C%5C%20%20%5C%5C%20r%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B51%7D%7B2%5Cpi%7D%7D%20%20%5C%5C%20%20%5C%5C%20r%20%3D%202.01%20%5C%5C%20%20%5C%5C%20r%20%3D%202.0%20cm)
Diameter = 2 × 2cm
<h3>= 4cm</h3>
Hope this helps you
RS<span> ≅ </span><span>ST is the correct answer</span>
