Answer:
The box must be 3 inches in height
Step-by-step explanation:
In this question, we are concerned about calculating the height of the supplies box.
To be able to get the value for the volume, we need to use the mathematical formula.
Since It is a rectangular prism, the volume V = l * b * h
where l, b and h are the length, breadth and height respectively. Now , it is the measurement of the base that is l * b, hence the base area in this question is 6 * 5 = 30 inches^2
The height of the supply box is thus 90/30 = 3 inches high
Answer:
Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.
Step-by-step explanation:
:D
Answer:
IDK MAN
Step-by-step explanation:
Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c =
, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.
So, from the problem, if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.
![{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}](https://tex.z-dn.net/?f=%7Bc%7D%5E2%20%3D%20%7Ba%7D%5E2%2B%7Bb%7D%5E2%5C%5C%7Bc%7D%5E2-%7Ba%7D%5E2%3D%7Bb%7D%5E2%5C%5C%7Bb%7D%20%3D%20%5Csqrt%7B%7Bc%7D%5E2-%7Ba%7D%5E2%7D)
Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.
![b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7B%7B17%7D%5E2-%7B15%7D%5E2%7D%5C%5Cb%20%3D%20%5Csqrt%7B289-225%7D%5C%5Cb%20%3D%20%5Csqrt%7B64%7D%5C%5Cb%20%3D%208)
So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>
<em />
<em />
So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome
Answer:
slope (m)= 1/2
y-intercept: (0, -1)
equation: y=
x-1
Step-by-step explanation:
slope is
=![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)
using point slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-0)
y+1=1/2x
y=
x-1