Answer:
Step-by-step explanation:
The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when
![s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in](https://tex.z-dn.net/?f=s%5E3%3D%281%2F3%29%283%29%285%2F3%29%5C%5C%20%5C%5C%20s%5E3%3D5%2F3%5C%5C%20%5C%5C%20s%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B5%7D%7B3%7D%7Din%5C%5C%20%5C%5C%20s%5Capprox%201.19in)
Answer:
A. 64/125
B. 124/125.
Step-by-step explanation:
A). As the events ( germinate or not germinate) are independent we multiply the probabilities.
Prob(All seeds germinate) = 4/5*4/5*4/5 = 64/125.
B). Probability of at least one germinating = 1 - probability that none germinate
Probability of 1 seed not germinating = 1 -45 = 1/5.
So Prob(at least one germinating)
= 1 - (1/5 * 1/5 * 1/5)
= 1 - 1/125
= 124/125.
Answer:
The length of the edge of the cube = 4 inches
Step-by-step explanation:
* Lets describe the cube
- It has 6 faces all of them are squares
- It has 8 vertices
- It has 12 equal edges
∵ The volume of any formal solid = area of the base × height
∵ The base of the cube is a square
∴ Area base = L × L = L² ⇒ L is the length of the edge of it
∵ All edges are equal in length
∴ Its height = L
∴ The volume of the cube = L² × L = L³
* Now we have the volume and we want to find the
length of the edges
∵ Its volume = 64 inches³
∴ 64 = L³
* Take cube root to the both sides
∴ ∛64 = ∛(L³)
∴ L = 4 inches
* The length of the edge of the cube = 4 inches
Answer:
(x−3)(x−5)
Step-by-step explanation:
Hope this helped
<h3><u>Answer</u><u>:</u></h3>
- The point ( 22 , 23 ) lies in Ist quadrant
<h3>
<u>Explanation</u><u>:</u></h3>
The intersection of x and y axis divides the coordinate plane into 4 sections. These four sections are called quarrants. These quadrants are named as Roman numerals I, II, III and IV quadrant. The start with the top right corner and move in anti clockwise direction .
- In a x y plane , both the values of x and y are positive in Ist quadrant
