Good morning,
Answer:
<h2>r = 4 cm</h2>
Step-by-step explanation:
V = h × (base area)
= 12 × (π×r²)
then 192π = 12π×r²
Then 192 = 12×r²
Then r² = 192÷12 = 16
Then r = √16 = 4.
:)
I’ll try to make a step by step demonstration! Feel free to skip to step 5 for the answer, though
1. The formula for a right triangular prism is (1/2)*base*height*length, and we know what the base (4 cm) and length (8 cm) are, but not the height
2. To find the height we must divide the side triangle into two, which then gives us two right triangles
3. Focusing on just one of the right triangles, its base will be 2 cm rather than 4 (as it has been divided by two) and its hypotenuse will be 4 cm; using Pythagorean’s theorem (a^2 + b^2 = c^2), solve for the missing side (the height), which should end up being √12
4. Multiply! (1/2)4*√12*8 ≈ 55.425
5. Round to the nearest tenth —> 55.4
I hope this helped somewhat! Comment if clarification is needed
Answer:
Nah, I don't think so. But if that real, then woah
Answer:
1. x=6
2. x=9
Step-by-step explanation:
1.

2.

<u>Written Explanation: </u>
1.
-2x(3x+9)=-54
-6x-`8=54 (Distributive property)
Add 18 to both sides
-6x=-36
Divide both sides by -6 (negative divided by a negative equals a positive)
x=6
2.
2(3x+4)-3x=35
6x+8-3x=35 (distributive property)
3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)
Subtract 8 from both sides
3x=27
Divide both sides by 3
x=9
Answer:
0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Dinosaur
Event B: Plush.
The probability that a toy Raymond picks out of a box is a dinosaur is 75%.
This means that 
The probability that a toy Raymond picks out of a box is both plush and a dinosaur is 30%.
This means that 
What is the probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur?

0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.