V = r² π h + 1/2 · 4/3 r³ π
V = 6² · 22/7 · 198 + 4/6 · 6³ · 22/7
V = 36 · 22 · 24 + 144 · 22/7 = 19,008 + 452.57 = 19,460.57 ≈ 19,461 ft³
Answer: B ) 19,461 ft³
Use elimination
Multiply first equation by 4
12a - 8b = 56
12a + 9b = 39
Subtract both
-17b = 17
b = -1
Plug in -1 for b
3a - 2(-1) = 14
3a = 12, a = 4
Final answer: a = 4, b = -1
Answer:
Q5. Option 1
Q7. Option 4
Step-by-step explanation:
Please see the attached pictures for full solution.
Answer:
D. AC ≅ XZ
Step-by-step explanation:
To prove that two triangles are congruent by the Angle-Side-Angle theorem, both triangles must have two corresponding angles that are congruent to each other in each triangle, and also a corresponding included side in each triangle that are congruent.
Thus, we are given that,
<X ≅ <A and <Z ≅ <C, therefore, what is needed is a corresponding included angle in each triangle that are congruent to each other, which are,
AC and XZ
Therefore, what is needed is:
AC ≅ XZ
Answer:
They are 240 kilometers apart.
Step-by-step explanation:
This question can be solved using the following relation:
In which v is the velocity, d is the distance and t is the time.
An express train travels 80km/h from Ironton to Wildwood.
Here we have 
. So
A local train, traveling at 48km/h, takes 2 hours longer for the same trip.
This means that when ![v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}](https://tex.z-dn.net/?f=v%20%3D%2048%2C%20t%20%3D%20x%20%2B%202%5Btex%5D.%20So%3C%2Fp%3E%3Cp%3E%5Btex%5Dv%20%3D%20%5Cfrac%7Bd%7D%7Bt%7D)
Since
Applying cross multiplication
So the distance is:
They are 240 kilometers apart.
