5 for the first one and 7 for the second hope this helps
Step-by-step explanation:
This took me so long I hope it really helps!
Answer:
The digit that should be placed in the blank is 0.
Step-by-step explanation:
We are given the four-digit number: 138_
And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.
A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.
Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.
80 is indeed divisible by 4, while 85 is not.
In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.
Answer:
Step-by-step explanation:
In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".
The length of the base of the pyramid is 9 inches
<em><u>Solution:</u></em>
<em><u>The volume of pyramid is given by formula:</u></em>
Where, "l" is the length and "w" is the width and "h" is the height
Given that,
volume of pyramid = 81 cubic inches
Also given that, l equals w equals 3 h
<h3>l = w = 3h </h3>
Substitute the values in formula,
![81 = \frac{3h \times 3h \times h}{3}\\\\81 = 3h^3\\\\h^3 = 27\\\\\text{Take cube root on both sides }\\\\h = \sqrt[3]{27} \\\\h = \sqrt[3]{3 \times 3 \times 3} = \sqrt[3]{3^3} \\\\h = 3](https://tex.z-dn.net/?f=81%20%3D%20%5Cfrac%7B3h%20%5Ctimes%203h%20%5Ctimes%20h%7D%7B3%7D%5C%5C%5C%5C81%20%3D%203h%5E3%5C%5C%5C%5Ch%5E3%20%3D%2027%5C%5C%5C%5C%5Ctext%7BTake%20cube%20root%20on%20both%20sides%20%7D%5C%5C%5C%5Ch%20%3D%20%5Csqrt%5B3%5D%7B27%7D%20%5C%5C%5C%5Ch%20%3D%20%5Csqrt%5B3%5D%7B3%20%5Ctimes%203%20%5Ctimes%203%7D%20%3D%20%5Csqrt%5B3%5D%7B3%5E3%7D%20%5C%5C%5C%5Ch%20%3D%203)
Thus height = 3 inches
We have to find the length
l = 3h
l = 3(3) = 9
Thus length of the base of the pyramid is 9 inches
