9514 1404 393
Answer:
6 : 5
Step-by-step explanation:
The diagram shows you that the boxes have a length (L) to width (W) ratio such that ...
3L = <em>l</em> = 4W
L/W = 4/3
Suppose we call the width of the box 3 units, then its length is 4 units, and we have the crate dimensions ...
<em>l</em> = 4(3) = 3(4) = 12
<em>w</em> = 3+3+4 = 10
Then the ratio <em>l </em>: <em>w</em> is 12 : 10 = 6 : 5.
Answer: B. 1975
Step-by-step explanation:
Given: The model of population of a certain city between the years 1965 and 1995 by the radical function
![P(x)=75000\sqrt[3]{x-1940}](https://tex.z-dn.net/?f=P%28x%29%3D75000%5Csqrt%5B3%5D%7Bx-1940%7D)
To find the x year at which population is 245,000, put this in equation we get
![245000=75000\sqrt[3]{x-1940}\\\\\Rightarrow\frac{245000}{17000}=\sqrt[3]{x-1940}\\\\\Rightarrow3.266=\sqrt[3]{x-1940}\\\\\Rightarrow\ x-1940=(3.266)^3..........\text{[by taking cube on both sides]}\\\\\Rightarrow\ x-1940=34.8587\\\\\Rightarrow\ x=1940+34.8587\\\\\Rightarrow\ x=1974.8587\approx1975](https://tex.z-dn.net/?f=245000%3D75000%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow%5Cfrac%7B245000%7D%7B17000%7D%3D%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow3.266%3D%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-1940%3D%283.266%29%5E3..........%5Ctext%7B%5Bby%20taking%20cube%20on%20both%20sides%5D%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-1940%3D34.8587%5C%5C%5C%5C%5CRightarrow%5C%20x%3D1940%2B34.8587%5C%5C%5C%5C%5CRightarrow%5C%20x%3D1974.8587%5Capprox1975)
Hence, at year 1975 the population of the city is 245,000.
Answer:
The value of
is 10.
Step-by-step explanation:
If APR and SPL are vertical angles, then we get that
. Given that
and
, we find that the value of
is:



The value of
is 10.
20%*650g=
.
Therefore, 20% of 650g is 130g.
Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.


We set the formula equal to the volume and replace h with 30 in.


Divide both sides by 30pi in.

Take the square root of each side.


The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.


