Answer:
31.8755522675
Step-by-step explanation:
i pluged it into a site called desmos
We have been given that a line
passes through the point (10, 3) and is parallel to the line
. We are asked to find the y-intercept of the line.
First of all we will rewrite our given equation in slope-intercept form as:




We know that slope of parallel lines is equal, so slope of parallel line to our given line would be
.
Now we will use slope-intercept form of equation to find y-intercept.
, where,
m = Slope,
b = The y-intercept.
Let us substitute
and coordinates of point
in above equation as:





Therefore, the y-intercept is 7 and our required equation would be
.
Answer:

Step-by-step explanation:
we know that

step 1
Convert the dimensions of the boxes to feet

step 2
Find the volume of the toy boxes


step 3
Find the volume of the crate


step 4
Divide the volume of the crate by the volume of the toy boxes to find the number of toy boxes

Answer:
As
so option D is correct.
Step-by-step explanation:
Given the expression
![\sqrt[3]{\left(-0.05\right)^{24}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
![\sqrt[3]{\left(-0.05\right)^{24}}=\left(\left(-0.05\right)^{24}\right)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D%3D%5Cleft%28%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)




Hence, the simplification will be:
![\sqrt[3]{\left(-0.05\right)^{24}}=0.05^8](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D%3D0.05%5E8)
Therefore, option D is correct.
So, angles A and B added together is 130° which makes the whole angle = 180°-130°=50°
The answer is 180° because it is a supplementary angle and all supplementary angles equal 180° so, all the angles added makes 180°