Answer:
b is the answer of the question because it is the only answer
The side of the edge of the cube is 7. 07cm
<h3>How to determine the length</h3>
Given that a diagonal of a cube measures the square root of 150 cm and the diagonal of a face measures 10 cm.
Let's find the edge of the face
Note that the face of the cube is in the shape of square .
The diagonal of the face is 10 cm.
The formula for diagonal of square = ![\sqrt{2a}](https://tex.z-dn.net/?f=%5Csqrt%7B2a%7D)
a is the side of the square face
We have that,
![\sqrt{2a} = 10](https://tex.z-dn.net/?f=%5Csqrt%7B2a%7D%20%20%3D%2010)
Make 'a' subject of formula
a = ![\frac{10}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B%5Csqrt%7B2%7D%20%7D)
Find the surd of the equation, we have
a =
× ![\frac{\sqrt{2} }{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B2%7D%20%7D)
a = ![\frac{10\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Csqrt%7B2%7D%20%7D%7B2%7D)
a = ![5\sqrt{2}](https://tex.z-dn.net/?f=5%5Csqrt%7B2%7D)
a = ![7. 07cm](https://tex.z-dn.net/?f=7.%2007cm)
Thus, the side of the edge of the cube is 7. 07cm
Learn more about a cube here:
brainly.com/question/1972490
#SPJ1
Sort the data from the smallest one.
42, 55, 69, 74, 78, 83, 83, 97, 99
There are 9 data, n = 9
Find the location of Q₂
Q₂ location = (n + 1)/2
Q₂ location = (9 + 1)/2
Q₂ location = 10/2
Q₂ location = 5
The location of Q₂ is in the fifth order
42 first order
55 second order
69 third order
74 fourth order
78 fifth order
etc
So the Q₂ or the median is 78
We will use the equation: a subscript n = initial value + the rate x (n-1). The rate is adding 2 each time and the initial value is 4. The recursive definition for this sequence is a subscript n = 4+2(n-1). This simplified to a sub n=2n+2.
Answer:
2.25 cups
Step-by-step explanation:
15.75÷7= 2.25 cups of flour for one batch of cookie